P L E A E A N S W E R T H E F O L LO W I N G M AT H Q U E S T I O N S . QUESTION 1 1. Find the simple interest on a $400 investment made for 5 years at an interest rate of 7%/year. What is the accumulated amount? A. The simple interest is $140, the accumulated amount is $540. B. The simple interest is $115, the accumulated amount is $515. C. The simple interest is $120, the accumulated amount is $520. D. The simple interest is $125, the accumulated amount is $555. QUESTION 2 1. If the accumulated amount is $3,720 at the end of 3 years and the simple rate of interest is 8%/year, what is the principal? A. The principal is $3,500. B. The principal is $3,360. C. The principal is $3,000. D. The principal is $3,200. QUESTION 3 1. Find the accumulated amount A if the principal P = $2,000 is invested at the interest rate of r = 6% per year for t = 6 years, compounded annually. A. The accumulated amount is $3,508.28. B. The accumulated amount is $3,194.16. C. The accumulated amount is $2,837.04. D. The accumulated amount is $2,708.89. QUESTION 4 1. Find the accumulated amount A if the principal P = $11,000 is invested at the interest rate of r = 5% per year for t = 5.5 years, compounded quarterly. A. The accumulated amount is $14,585.32. B. The accumulated amount is $13,785.93. C. The accumulated amount is $14,100.05. D. The accumulated amount is $14,457.17. QUESTION 5 1. Determine the simple interest rate at which $1,500 will grow to $1,550 in the 8 months. Round your answers to the nearest tenth of percent. A. The interest rate is 5%/year. B. The interest rate is 4.33%/year. C. The interest rate is 4.76%/year. D. The interest rate is 66.67%/year. E. The interest rate is 3.06%/year. QUESTION 6 1. Find the present value of $40,000 due in 4 years at the given rate of interest 8%/year compounded monthly. A. The present value is $28,948.67. B. The present value is $29,433.94. C. The present value is $29,076.82. D. The present value is $29,748.06. QUESTION 7 1. In order to help finance the purchase of a new house, the Abdullahs have decided to apply for a short-term loan (a bridge loan) in the amount of $140,000 for a term of 1 mo. If the bank charges simple interest at the rate of 12%/year, how much will the Abdullahs owe the bank at the end of the term? A. $141,400 B. $140,012 C. $146,800 D. $144,900 QUESTION 8 1. The Kwans are planning to buy a house 6 years from now. Housing experts in their area have estimated that the cost of a home will increase at a rate of 6%/year during that period. If this economic prediction holds true, how much can the Kwans expect to pay for a house that currently costs $160,000? A. $218,199 B. $221,562 C. $230,490 D. $226,963 1. The manager of a money market fund has invested $4.2 million in certificates of deposit that pay interest at the rate of 5.4%/year compounded quarterly over a period of 5 years. How much will the investment be worth at the end of 5 years? A. 5,491,921.88 B. 3,211,990.34 C. 1,291,921.88 D. 12,024,347.20 QUESTION 10 1. Find the effective rate corresponding to nominal rate 6% / year compounded monthly. Round the answers to the nearest hundredth of percent. A. 6.538% B. 5.858% C. 6.598% D. 6.168% QUESTION 11 1. Find the interest rate needed for an investment of $4,000 to grow to an amount of $5,000 in 4 yr if interest is compounded continuously. Please round the answer to the nearest hundredth of percent. A. 5.58 %/yr B. 5.70 %/yr C. 6.63 %/yr D. 5.01 %/yr E. 5.92 %/yr QUESTION 12 1. Anthony invested a sum of money 6 yr ago in a savings account that has since paid interest at the rate of 7%/year compounded quarterly. His investment is now worth $19,713.77. How much did he originally invest? Please round the answer to the nearest cent. A. $13,000.01 B. $12,500.01 C. $14,000.01 D. $11,500.01 E. $11,000.01 QUESTION 13 1. Georgia purchased a house in 1998 for $220,000. In 2003 she sold the house and made a net profit of $50,000. Find the effective annual rate of return on her investment over the 5-yr period. Please round the answer to the nearest tenth of percent. A. 3.7%/yr B. 3.1%/yr C. 4.4%/yr D. 4.2%/yr E. 5.6%/yr QUESTION 14 1. Find the amount of an ordinary annuity of 10 yearly payments of $1,800 that earn interest at 10% per year, compounded annually. A. $4,668.74 B. $28,687.36 C. $87,798.04 D. $3,600.00 QUESTION 15 1. Robin, who is self-employed, contributes $4,000/year into a Keogh account. How much will he have in the account after 15 years if the account earns interest at the rate of 6.5%/year compounded yearly? A. $96,728.68 B. $10,287.36 C. $158,267.14 D. $3,771.28 QUESTION 16 1. If a merchant deposits $1,500 annually at the end of each tax year in an IRA account paying interest at the rate of 10%/year compounded annually, how much will she have in her account at the end of 25 years? Round your answer to two decimal places. A. $16,252.06 B. $147,520.59 C. $5,250.00 D. $34,663.65 QUESTION 17 1. Find the present value of an ordinary annuity of $600 payments each made quarterly over 5 years and earning interest at 4% per year compounded quarterly. A. $8,154.20 B. $2,671.09 C. $10,827.33 D. $56,916.87 QUESTION 18 1. Juan invested $24,000 in a mutual fund 5 years ago. Today his investment is worth $34,616. Find the effective annual rate of return on his investment over the 5-year period. A. 10.3%/year B. 8%/year C. 83%/year D. 8.3%/year QUESTION 19 1. Find the amount of an ordinary annuity for 5 years of quarterly payments of $2,200 that earn interest at 4% per year compounded quarterly. A. $11,222.21 B. $65,511.77 C. $48,441.81 D. $2,684.42 QUESTION 20 1. Find the present value of the ordinary annuity. Please round the answer to the nearest cent.$2,000 per semiannual period for 7 yr at 12%/year compounded semiannually A. P = $18,589.97 B. P = $17,913.54 C. P = $20,003.52 D. P = $13,147.80 E. P = $9,629.07 QUESTION 1 1. A. B. C. D. E. QUESTION 2 1. A. B. C. D. QUESTION 3 1. A. B. C. D. QUESTION 4 1. A. B. C. D. QUESTION 5 1. A. B. C. D. QUESTION 6 1. A. B. C. D. E. QUESTION 7 1. A. B. C. D. E. QUESTION 8 1. A. Disjoint B. Not disjoint QUESTION 9 1. A. 4 B. 14 C. 8 D. 17 E. 5 F. 1 QUESTION 10 1. In a survey of 122 consumers conducted in a shopping mall, 82 consumers indicated that they buy brand A of a certain product, 71 buy brand B, and 46 buy both brands. How many consumers participating in the survey buy only brand A? A. 35 consumers B. 17 consumers C. 87 consumers D. 36 consumers E. 51 consumers F. 56 consumers QUESTION 11 1. In a poll conducted among 180 active investors, it was found that 100 use discount brokers, 122 use full-service brokers, and 54 use both discount and full-service brokers. How many investors use only discount brokers? A. 68 B. 58 C. 46 D. 36 E. 56 QUESTION 12 1. On a certain day, the Wilton County Jail had 183 prisoners. Of these, 127 were accused of felonies, and 117 were accused of misdemeanors. How many prisoners were accused of both a felony and a misdemeanor? A. 89 prisoners B. 61 prisoners C. 64 prisoners D. 73 prisoners E. 68 prisoners F. 87 prisoners QUESTION 13 1. A. 4 B. 16 C. 14 D. 2 E. 6 F. 12 QUESTION 14 1. A. 80 B. 100 C. 90 D. 200 E. 150 F. 180 QUESTION 15 1. A. 40 B. 90 C. 30 D. 20 E. 170 F. 10 QUESTION 16 1. A survey of 900 subscribers to the Los Angeles Times revealed that 700 people subscribe to the daily morning edition and 400 subscribe to both the daily and the Sunday editions.How many subscribe to the Sunday edition? A. 500 people B. 700 people C. 600 people D. 300 people E. 900 people F. 100 people QUESTION 17 1. Three different types of monthly commuter passes are offered by a city's local transit authority for three different groups of passengers. How many different kinds of passes must be possible? A. 9 possible passes B. 18 possible passes C. 15 possible passes D. 6 possible passes E. 12 possible passes F. 11 possible passes QUESTION 18 1. In a card game, a 2-card hand consisting of an ace and either a face card of diamond or a 10 is called a \"win\". If a standard 52-card deck is used, determine how many winning hands can be dealt.(A \"face card\" is a jack, queen, or king.) A. 48 B. 28 C. 20 D. 16 E. 40 QUESTION 19 1. An opinion poll is to be conducted among cable TV viewers. Four multiple-choice questions, each with three possible answers, will be asked. In how many different ways can a viewer complete the poll if exactly one response is given to each question? A. 115 different ways B. 81 different ways C. 108 different ways D. 136 different ways E. 82 different ways F. 6 different ways QUESTION 20 1. A warranty identification number for a certain product consists of a letter of the alphabet followed by a four-digit number. How many possible identification numbers are there if the first digit of the four-digit number must be nonzero? A. 234,000 numbers B. 307,000 numbers C. 99,000 numbers D. 6,000 numbers E. 414,000 numbers F. 432,000 numbers QUESTION 21 1. An exam consists of six true-or-false questions. Assuming that every question is answered, in how many different ways can a student complete the exam? In how many ways may the exam be completed if a penalty is imposed for each incorrect answer, so that a student may leave some questions unanswered? A. 108; 72 B. 92; 1,439 C. 64; 729 D. 66; 225 E. 15; 1,316 F. 72; 536 QUESTION 22 1. A Social Security number has seven digits. How many Social Security numbers are possible? A. 10,000,000 B. 5040 C. 720 D. 9,999,999 E. 6,000,000 QUESTION 23 1. In a survey conducted by a union, members were asked to rate the importance of the following issues: (1) job security, (2) increased fringe benefits, and (3) improved working conditions. Six different responses were allowed for each issue. Among completed surveys, how many different responses to this survey were possible? A. 192 B. 205 C. 216 D. 221 E. 198 QUESTION 24 1. The 2010 BMW 335i Coupe is offered with a choice of 9 exterior colors (7 metallic and 2 standard), 5 interior colors, and 4 trims. How many combinations involving color and trim are available for the model? A. 180 B. 18 C. 29 D. 117 QUESTION 25 1. How many international direct-dialing numbers are possible if each number consists of a four-digit area code (the first digit of which must be nonzero) and an eight-digit telephone number (the first digit must be nonzero)? A. 648,000,000,000 B. 486,000,000,000 C. 810,000,000,000 D. 891,000,000,000 E. 1,215,000,000,000 QUESTION 1 1. A. ye s B. no QUESTION 2 1. A. no B. ye s QUESTION 3 1. A. B. C. D. QUESTION 4 1. An experiment consists of selecting a card from a standard deck of playing cards and noting whether the card is black (B) or red (R). Describe an appropriate sample space for this experiment. A. B. C. D. E. QUESTION 5 1. An experiment consists of selecting a card from a standard deck of playing cards and noting whether the card is black (B) or red (R). What are the events of this experiment? A. B. C. D. E. QUESTION 6 1. An experiment consists of tossing a coin, rolling a die, and observing the outcomes. Describe the event \"A head is tossed and an odd number is rolled.\" A. B. C. D. QUESTION 7 1. A sample of two transistors taken from a local electronics store was examined to determine whether the transistors were defective (d) or nondefective (n). What is an appropriate sample space for this experiment? A. B. C. D. QUESTION 8 1. In a television game show, the winner is asked to select three prizes from five different prizes, A, B, C, D, and E. Describing a sample space of possible outcomes (order is not important) determine the number of points there are in the sample space corresponding to a selection that includes A. A. 6 B. 9 C. 4 D. 2 QUESTION 9 1. As part of a quality-control procedure, an inspector at Bristol Farms randomly selects ten eggs from each consignment of eggs he receives and records the number of broken eggs. Describe the event F that at least nine eggs are broken. A. B. C. D. QUESTION 10 1. A. 7 B. 8 C. 5 D. 6 E. 4 QUESTION 11 1. The following breakdown of a total of 18,686 transportation fatalities that occured in 2007 was obtained from records compiled by the U.S. Department of Transportation (DOT). Mode of Trai Bicyc Plan Transportati Car n le e on Number of 16,52 842 698 538 Fatalities 5 2. What is the probability that a victim randomly selected from this list of transportation fatalities for 2007 died in a train or a plane accident? Round answer to two decimal places. A. 0.05 B. 0.11 C. 0.07 D. 0.08 QUESTION 12 1. In a survey of 900 likely voters, the following question was asked: Do you support using cameras to identify red-light runners? The results of the survey follow: Stro Some Some Stro Do Answe ngly what what ngly n't r sup supp oppo Opp kn port ort se ose ow Respo 410 212 ndents 2. 95 164 19 What is the probability that a person in the survey selected at random favors using cameras to identify red-light runners? A. 0.64 B. 0.69 C. 0.31 D. 0.59 QUESTION 13 1. According to Mediamark Research, 88 million out of 179 million adults in the United States correct their vision by using prescription eyeglasses, bifocals, or contact lenses. (Some respondents use more than one type.) What is the probability that an adult selected at random from the adult population uses corrective lenses? Round your answer to the nearest thousandth. A. The probability is 0.495 B. The probability is 0.489 C. The probability is 0.003 D. The probability is 0.492 QUESTION 14 1. One light bulb is selected at random from a lot of 110 light bulbs, of which 2% are defective. What is the probability that the light bulb selected is defective? A. The probability is 0.04 B. The probability is 0.01 C. The probability is 0.02 D. The probability is 0.03 QUESTION 15 1. If a ball is selected at random from an urn containing two red balls, three white balls, and five blue balls, what is the probability that it will be a white ball? A. The probability is 0.31 B. The probability is 0.33 C. The probability is 0.30 D. The probability is 0.32 QUESTION 16 1. What is the probability of arriving at a traffic light when it is red if the red signal is flashed for 30 sec, the yellow signal for 5 sec, and the green signal for 40 sec? A. The probability is 0.35 B. The probability is 0.40 C. The probability is 0.50 D. The probability is 0.45 QUESTION 17 1. 2. The grade distribution for a certain class is shown in the table. Grade AB C DF Frequency of Occurrence 6 6 18 8 2 What is the probability that a student selected at random from this class received a passing grade (D or better)? A. The probability is 0.95 B. The probability is 0.97 C. The probability is 0.96 D. The probability is 0.94 QUESTION 18 1. In a sweepstakes sponsored by Gemini Paper Products, 100,000 entries have been received. If 2 grand prize, 10 first prizes, 35 second prizes, and 600 third prizes are to be awarded, what is the probability that a person who has submitted one entry will win a prize? A. The probability is 0.00717 B. The probability is 0.01347 C. The probability is 0.00647 D. The probability is 0.00654 QUESTION 19 1. In a survey conducted in 2007 of 954 adults 18 years old and older, the following question was asked: How are American companies doing on protecting the environment compared with companies in other countries? The results are summarized below: Answer Don' Behin Equ Ahea t d al d kno w Responden 382 ts 2. 236 240 96 If an adult in the survey selected at random, what is the probability that he or she said that American companies are equal or ahead on protecting the environment compared with companies in other countries? Round your answer to two decimal places. A. 0.5 B. 0.43 C. 0.58 D. 0.65 E. 0.35 QUESTION 20 1. A study conducted by the Corrections Department of a certain state revealed that 163,767 people out of a total adult population of 1,799,738 were under correctional supervision (on probation, parole, or in jail). What is the probability that a person selected at random from the adult population in that state is under correctional supervision? A. 0.091 B. 0.083 C. 0.085 D. 0.089 E. 0.087 PLE AE ANSW ER THE FO L L OW ING MATH Q UEST ION S. QUE ST ION 1 1. Find the simple interest on a $400 investment made for 5 years at an interest rate of 7%/year. What is the accumulated amount? A. The simple interest is $140, the accumulated amount is $540. B. The simple interest is $115, the accumulated amount is $515. C. The simple interest is $120, the accumulated amount is $520. D. The simple interest is $125, the accumulated amount is $555. QUE ST ION 2 1. If the accumulated amount is $3,720 at the end of 3 years and the simple rate of interest is 8%/year, what is the principal? A. The principal is $3,500. B. The principal is $3,360. C. The principal is $3,000. D. The principal is $3,200. QUE ST ION 3 1. Find the accumulated amount A if the principal P = $2,000 is invested at the interest rate of r = 6% per year for t = 6 years, compounded annually. A. The accumulated amount is $3,508.28. B. The accumulated amount is $3,194.16. C. The accumulated amount is $2,837.04. D. The accumulated amount is $2,708.89. QUE ST ION 4 1. Find the accumulated amount A if the principal P = $11,000 is invested at the interest rate of r = 5% per year for t = 5.5 years, compounded quarterly. A. The accumulated amount is $14,585.32. B. The accumulated amount is $13,785.93. C. The accumulated amount is $14,100.05. D. The accumulated amount is $14,457.17. QUE ST ION 5 1. Determine the simple interest rate at which $1,500 will grow to $1,550 in the 8 months. Round your answers to the nearest tenth of percent. A. The interest rate is 5%/year. B. The interest rate is 4.33%/year. C. The interest rate is 4.76%/year. D. The interest rate is 66.67%/year. E. The interest rate is 3.06%/year. QUE ST ION 6 1. Find the present value of $40,000 due in 4 years at the given rate of interest 8%/year compounded monthly. A. The present value is $28,948.67. B. The present value is $29,433.94. C. The present value is $29,076.82. D. The present value is $29,748.06. QUE ST ION 7 1. In order to help finance the purchase of a new house, the Abdullahs have decided to apply for a short-term loan (a bridge loan) in the amount of $140,000 for a term of 1 mo. If the bank charges simple interest at the rate of 12%/year, how much will the Abdullahs owe the bank at the end of the term? A. $141,400 B. $140,012 C. $146,800 D. $144,900 QUE ST ION 8 1. The Kwans are planning to buy a house 6 years from now. Housing experts in their area have estimated that the cost of a home will increase at a rate of 6%/year during that period. If this economic prediction holds true, how much can the Kwans expect to pay for a house that currently costs $160,000? A. $218,199 B. $221,562 C. $230,490 D. $226,963 1. The manager of a money market fund has invested $4.2 million in certificates of deposit that pay interest at the rate of 5.4%/year compounded quarterly over a period of 5 years. How much will the investment be worth at the end of 5 years? A. 5,491,921.88 B. 3,211,990.34 C. 1,291,921.88 D. 12,024,347.20 QUE ST ION 1 0 1. Find the effective rate corresponding to nominal rate 6% / year compounded monthly. Round the answers to the nearest hundredth of percent. A. 6.538% B. 5.858% C. 6.598% D. 6.168% QUE ST ION 1 1 1. Find the interest rate needed for an investment of $4,000 to grow to an amount of $5,000 in 4 yr if interest is compounded continuously. Please round the answer to the nearest hundredth of percent. A. 5.58 %/yr B. 5.70 %/yr C. 6.63 %/yr D. 5.01 %/yr E. 5.92 %/yr QUE ST ION 1 2 1. Anthony invested a sum of money 6 yr ago in a savings account that has since paid interest at the rate of 7%/year compounded quarterly. His investment is now worth $19,713.77. How much did he originally invest? Please round the answer to the nearest cent. A. $13,000.01 B. $12,500.01 C. $14,000.01 D. $11,500.01 E. $11,000.01 QUE ST ION 1 3 1. Georgia purchased a house in 1998 for $220,000. In 2003 she sold the house and made a net profit of $50,000. Find the effective annual rate of return on her investment over the 5-yr period. Please round the answer to the nearest tenth of percent. A. 3.7%/yr B. 3.1%/yr C. 4.4%/yr D. 4.2%/yr E. 5.6%/yr QUE ST ION 1 4 1. Find the amount of an ordinary annuity of 10 yearly payments of $1,800 that earn interest at 10% per year, compounded annually. A. $4,668.74 B. $28,687.36 C. $87,798.04 D. $3,600.00 QUE ST ION 1 5 1. Robin, who is self-employed, contributes $4,000/year into a Keogh account. How much will he have in the account after 15 years if the account earns interest at the rate of 6.5%/year compounded yearly? A. $96,728.68 B. $10,287.36 C. $158,267.14 D. $3,771.28 QUE ST ION 1 6 1. If a merchant deposits $1,500 annually at the end of each tax year in an IRA account paying interest at the rate of 10%/year compounded annually, how much will she have in her account at the end of 25 years? Round your answer to two decimal places. A. $16,252.06 B. $147,520.59 C. $5,250.00 D. $34,663.65 QUE ST ION 1 7 1. Find the present value of an ordinary annuity of $600 payments each made quarterly over 5 years and earning interest at 4% per year compounded quarterly. A. $8,154.20 B. $2,671.09 C. $10,827.33 D. $56,916.87 QUE ST ION 1 8 1. Juan invested $24,000 in a mutual fund 5 years ago. Today his investment is worth $34,616. Find the effective annual rate of return on his investment over the 5-year period. A. 10.3%/year B. 8%/year C. 83%/year D. 8.3%/year QUE ST ION 1 9 1. Find the amount of an ordinary annuity for 5 years of quarterly payments of $2,200 that earn interest at 4% per year compounded quarterly. A. $11,222.21 B. $65,511.77 C. $48,441.81 D. $2,684.42 QUE ST ION 2 0 1. Find the present value of the ordinary annuity. Please round the answer to the nearest cent.$2,000 per semiannual period for 7 yr at 12%/year compounded semiannually A. P = $18,589.97 B. P = $17,913.54 C. P = $20,003.52 D. P = $13,147.80 E. P = $9,629.07 QUE ST ION 1 1. A. B. C. D. E. QUE ST ION 2 1. A. B. C. D. QUE ST ION 3 1. A. B. C. D. QUE ST ION 4 1. A. B. C. D. QUE ST ION 5 1. A. B. C. D. QUE ST ION 6 1. A. B. C. D. E. QUE ST ION 7 1. A. B. C. D. E. QUE ST ION 8 1. A. Disjoint B. Not disjoint QUE ST ION 9 1. A. 4 B. 14 C. 8 D. 17 E. 5 F. 1 QUE ST ION 1 0 1. In a survey of 122 consumers conducted in a shopping mall, 82 consumers indicated that they buy brand A of a certain product, 71 buy brand B, and 46 buy both brands. How many consumers participating in the survey buy only brand A? A. 35 consumers B. 17 consumers C. 87 consumers D. 36 consumers E. 51 consumers F. 56 consumers QUE ST ION 1 1 1. In a poll conducted among 180 active investors, it was found that 100 use discount brokers, 122 use full-service brokers, and 54 use both discount and full-service brokers. How many investors use only discount brokers? A. 68 B. 58 C. 46 D. 36 E. 56 QUE ST ION 1 2 1. On a certain day, the Wilton County Jail had 183 prisoners. Of these, 127 were accused of felonies, and 117 were accused of misdemeanors. How many prisoners were accused of both a felony and a misdemeanor? A. 89 prisoners B. 61 prisoners C. 64 prisoners D. 73 prisoners E. 68 prisoners F. 87 prisoners QUE ST ION 1 3 1. A. 4 B. 16 C. 14 D. 2 E. 6 F. 12 QUE ST ION 1 4 1. A. 80 B. 100 C. 90 D. 200 E. 150 F. 180 QUE ST ION 1 5 1. A. 40 B. 90 C. 30 D. 20 E. 170 F. 10 QUE ST ION 1 6 1. A survey of 900 subscribers to the Los Angeles Times revealed that 700 people subscribe to the daily morning edition and 400 subscribe to both the daily and the Sunday editions.How many subscribe to the Sunday edition? A. 500 people B. 700 people C. 600 people D. 300 people E. 900 people F. 100 people QUE ST ION 1 7 1. Three different types of monthly commuter passes are offered by a city's local transit authority for three different groups of passengers. How many different kinds of passes must be possible? A. 9 possible passes B. 18 possible passes C. 15 possible passes D. 6 possible passes E. 12 possible passes F. 11 possible passes QUE ST ION 1 8 1. In a card game, a 2-card hand consisting of an ace and either a face card of diamond or a 10 is called a \"win\". If a standard 52-card deck is used, determine how many winning hands can be dealt.(A \"face card\" is a jack, queen, or king.) A. 48 B. 28 C. 20 D. 16 E. 40 QUE ST ION 1 9 1. An opinion poll is to be conducted among cable TV viewers. Four multiplechoice questions, each with three possible answers, will be asked. In how many different ways can a viewer complete the poll if exactly one response is given to each question? A. 115 different ways B. 81 different ways C. 108 different ways D. 136 different ways E. 82 different ways F. 6 different ways QUE ST ION 2 0 1. A warranty identification number for a certain product consists of a letter of the alphabet followed by a four-digit number. How many possible identification numbers are there if the first digit of the four-digit number must be nonzero? A. 234,000 numbers B. 307,000 numbers C. 99,000 numbers D. 6,000 numbers E. 414,000 numbers F. 432,000 numbers QUE ST ION 2 1 1. An exam consists of six true-or-false questions. Assuming that every question is answered, in how many different ways can a student complete the exam? In how many ways may the exam be completed if a penalty is imposed for each incorrect answer, so that a student may leave some questions unanswered? A. 108; 72 B. 92; 1,439 C. 64; 729 D. 66; 225 E. 15; 1,316 F. 72; 536 QUE ST ION 2 2 1. A Social Security number has seven digits. How many Social Security numbers are possible? A. 10,000,000 B. 5040 C. 720 D. 9,999,999 E. 6,000,000 QUE ST ION 2 3 1. In a survey conducted by a union, members were asked to rate the importance of the following issues: (1) job security, (2) increased fringe benefits, and (3) improved working conditions. Six different responses were allowed for each issue. Among completed surveys, how many different responses to this survey were possible? A. 192 B. 205 C. 216 D. 221 E. 198 QUE ST ION 2 4 1. The 2010 BMW 335i Coupe is offered with a choice of 9 exterior colors (7 metallic and 2 standard), 5 interior colors, and 4 trims. How many combinations involving color and trim are available for the model? A. 180 B. 18 C. 29 D. 117 QUE ST ION 2 5 1. How many international direct-dialing numbers are possible if each number consists of a four-digit area code (the first digit of which must be nonzero) and an eight-digit telephone number (the first digit must be nonzero)? A. 648,000,000,000 B. 486,000,000,000 C. 810,000,000,000 D. 891,000,000,000 E. 1,215,000,000,000 QUE ST ION 1 1. A. yes B. no QUE ST ION 2 1. A. no B. yes QUE ST ION 3 1. A. B. C. D. QUE ST ION 4 1. An experiment consists of selecting a card from a standard deck of playing cards and noting whether the card is black (B) or red (R). Describe an appropriate sample space for this experiment. A. B. C. D. E. QUE ST ION 5 1. An experiment consists of selecting a card from a standard deck of playing cards and noting whether the card is black (B) or red (R). What are the events of this experiment? A. B. C. D. E. QUE ST ION 6 1. An experiment consists of tossing a coin, rolling a die, and observing the outcomes. Describe the event \"A head is tossed and an odd number is rolled.\" A. B. C. D. QUE ST ION 7 1. A sample of two transistors taken from a local electronics store was examined to determine whether the transistors were defective (d) or nondefective (n). What is an appropriate sample space for this experiment? A. B. C. D. QUE ST ION 8 1. In a television game show, the winner is asked to select three prizes from five different prizes, A, B, C, D, and E. Describing a sample space of possible outcomes (order is not important) determine the number of points there are in the sample space corresponding to a selection that includes A. A. 6 B. 9 C. 4 D. 2 QUE ST ION 9 1. As part of a quality-control procedure, an inspector at Bristol Farms randomly selects ten eggs from each consignment of eggs he receives and records the number of broken eggs. Describe the event F that at least nine eggs are broken. A. B. C. D. QUE ST ION 1 0 1. A. 7 B. 8 C. 5 D. 6 E. 4 QUE ST ION 1 1 1. The following breakdown of a total of 18,686 transportation fatalities that occured in 2007 was obtained from records compiled by the U.S. Department of Transportation (DOT). Mode of Transportation Number of Fatalities Car Train Bicycle Plane 16,525 842 698 538 2. What is the probability that a victim randomly selected from this list of transportation fatalities for 2007 died in a train or a plane accident? Round answer to two decimal places. A. 0.05 B. 0.11 C. 0.07 D. 0.08 QUE ST ION 1 2 1. In a survey of 900 likely voters, the following question was asked: Do you support using cameras to identify red-light runners? The results of the survey follow: Answer Strongly Somewhat Somewhat Strongly Don't support support oppose Oppose know Respondents 410 212 95 164 19 2. What is the probability that a person in the survey selected at random favors using cameras to identify red-light runners? A. 0.64 B. 0.69 C. 0.31 D. 0.59 QUE ST ION 1 3 1. According to Mediamark Research, 88 million out of 179 million adults in the United States correct their vision by using prescription eyeglasses, bifocals, or contact lenses. (Some respondents use more than one type.) What is the probability that an adult selected at random from the adult population uses corrective lenses? Round your answer to the nearest thousandth. A. The probability is 0.495 B. The probability is 0.489 C. The probability is 0.003 D. The probability is 0.492 QUE ST ION 1 4 1. One light bulb is selected at random from a lot of 110 light bulbs, of which 2% are defective. What is the probability that the light bulb selected is defective? A. The probability is 0.04 B. The probability is 0.01 C. The probability is 0.02 D. The probability is 0.03 QUE ST ION 1 5 1. If a ball is selected at random from an urn containing two red balls, three white balls, and five blue balls, what is the probability that it will be a white ball? A. The probability is 0.31 B. The probability is 0.33 C. The probability is 0.30 D. The probability is 0.32 QUE ST ION 1 6 1. What is the probability of arriving at a traffic light when it is red if the red signal is flashed for 30 sec, the yellow signal for 5 sec, and the green signal for 40 sec? A. The probability is 0.35 B. The probability is 0.40 C. The probability is 0.50 D. The probability is 0.45 QUE ST ION 1 7 1. The grade distribution for a certain class is shown in the table. Grade AB C DF Frequency of Occurrence 6 6 18 8 2 2. What is the probability that a student selected at random from this class received a passing grade (D or better)? A. The probability is 0.95 B. The probability is 0.97 C. The probability is 0.96 D. The probability is 0.94 QUE ST ION 1 8 1. In a sweepstakes sponsored by Gemini Paper Products, 100,000 entries have been received. If 2 grand prize, 10 first prizes, 35 second prizes, and 600 third prizes are to be awarded, what is the probability that a person who has submitted one entry will win a prize? A. The probability is 0.00717 B. The probability is 0.01347 C. The probability is 0.00647 D. The probability is 0.00654 QUE ST ION 1 9 1. In a survey conducted in 2007 of 954 adults 18 years old and older, the following question was asked: How are American companies doing on protecting the environment compared with companies in other countries? The results are summarized below: Answer Respondents Behind Equal Ahead 382 236 240 Don't know 96 2. If an adult in the survey selected at random, what is the probability that he or she said that American companies are equal or ahead on protecting the environment compared with companies in other countries? Round your answer to two decimal places. A. 0.5 B. 0.43 C. 0.58 D. 0.65 E. 0.35 QUE ST ION 2 0 1. A study conducted by the Corrections Department of a certain state revealed that 163,767 people out of a total adult population of 1,799,738 were under correctional supervision (on probation, parole, or in jail). What is the probability that a person selected at random from the adult population in that state is under correctional supervision? A. 0.091 B. 0.083 C. 0.085 D. 0.089 E. 0.087 PLE AE ANSW ER THE FO L L OW ING MATH Q UEST ION S. QUE ST ION 1 1. Find the simple interest on a $400 investment made for 5 years at an interest rate of 7%/year. What is the accumulated amount? A. The simple interest is $140, the accumulated amount is $540. B. The simple interest is $115, the accumulated amount is $515. C. The simple interest is $120, the accumulated amount is $520. D. The simple interest is $125, the accumulated amount is $555. QUE ST ION 2 1. If the accumulated amount is $3,720 at the end of 3 years and the simple rate of interest is 8%/year, what is the principal? A. The principal is $3,500. B. The principal is $3,360. C. The principal is $3,000. D. The principal is $3,200. QUE ST ION 3 1. Find the accumulated amount A if the principal P = $2,000 is invested at the interest rate of r = 6% per year for t = 6 years, compounded annually. A. The accumulated amount is $3,508.28. B. The accumulated amount is $3,194.16. C. The accumulated amount is $2,837.04. D. The accumulated amount is $2,708.89. QUE ST ION 4 1. Find the accumulated amount A if the principal P = $11,000 is invested at the interest rate of r = 5% per year for t = 5.5 years, compounded quarterly. A. The accumulated amount is $14,585.32. B. The accumulated amount is $13,785.93. C. The accumulated amount is $14,100.05. D. The accumulated amount is $14,457.17. QUE ST ION 5 1. Determine the simple interest rate at which $1,500 will grow to $1,550 in the 8 months. Round your answers to the nearest tenth of percent. A. The interest rate is 5%/year. B. The interest rate is 4.33%/year. C. The interest rate is 4.76%/year. D. The interest rate is 66.67%/year. E. The interest rate is 3.06%/year. QUE ST ION 6 1. Find the present value of $40,000 due in 4 years at the given rate of interest 8%/year compounded monthly. A. The present value is $28,948.67. B. The present value is $29,433.94. C. The present value is $29,076.82. D. The present value is $29,748.06. QUE ST ION 7 1. In order to help finance the purchase of a new house, the Abdullahs have decided to apply for a short-term loan (a bridge loan) in the amount of $140,000 for a term of 1 mo. If the bank charges simple interest at the rate of 12%/year, how much will the Abdullahs owe the bank at the end of the term? A. $141,400 B. $140,012 C. $146,800 D. $144,900 QUE ST ION 8 1. The Kwans are planning to buy a house 6 years from now. Housing experts in their area have estimated that the cost of a home will increase at a rate of 6%/year during that period. If this economic prediction holds true, how much can the Kwans expect to pay for a house that currently costs $160,000? A. $218,199 B. $221,562 C. $230,490 D. $226,963 1. The manager of a money market fund has invested $4.2 million in certificates of deposit that pay interest at the rate of 5.4%/year compounded quarterly over a period of 5 years. How much will the investment be worth at the end of 5 years? A. 5,491,921.88 B. 3,211,990.34 C. 1,291,921.88 D. 12,024,347.20 QUE ST ION 1 0 1. Find the effective rate corresponding to nominal rate 6% / year compounded monthly. Round the answers to the nearest hundredth of percent. A. 6.538% B. 5.858% C. 6.598% D. 6.168% QUE ST ION 1 1 1. Find the interest rate needed for an investment of $4,000 to grow to an amount of $5,000 in 4 yr if interest is compounded continuously. Please round the answer to the nearest hundredth of percent. A. 5.58 %/yr B. 5.70 %/yr C. 6.63 %/yr D. 5.01 %/yr E. 5.92 %/yr QUE ST ION 1 2 1. Anthony invested a sum of money 6 yr ago in a savings account that has since paid interest at the rate of 7%/year compounded quarterly. His investment is now worth $19,713.77. How much did he originally invest? Please round the answer to the nearest cent. A. $13,000.01 B. $12,500.01 C. $14,000.01 D. $11,500.01 E. $11,000.01 QUE ST ION 1 3 1. Georgia purchased a house in 1998 for $220,000. In 2003 she sold the house and made a net profit of $50,000. Find the effective annual rate of return on her investment over the 5-yr period. Please round the answer to the nearest tenth of percent. A. 3.7%/yr B. 3.1%/yr C. 4.4%/yr D. 4.2%/yr E. 5.6%/yr QUE ST ION 1 4 1. Find the amount of an ordinary annuity of 10 yearly payments of $1,800 that earn interest at 10% per year, compounded annually. A. $4,668.74 B. $28,687.36 C. $87,798.04 D. $3,600.00 QUE ST ION 1 5 1. Robin, who is self-employed, contributes $4,000/year into a Keogh account. How much will he have in the account after 15 years if the account earns interest at the rate of 6.5%/year compounded yearly? A. $96,728.68 B. $10,287.36 C. $158,267.14 D. $3,771.28 QUE ST ION 1 6 1. If a merchant deposits $1,500 annually at the end of each tax year in an IRA account paying interest at the rate of 10%/year compounded annually, how much will she have in her account at the end of 25 years? Round your answer to two decimal places. A. $16,252.06 B. $147,520.59 C. $5,250.00 D. $34,663.65 QUE ST ION 1 7 1. Find the present value of an ordinary annuity of $600 payments each made quarterly over 5 years and earning interest at 4% per year compounded quarterly. A. $8,154.20 B. $2,671.09 C. $10,827.33 D. $56,916.87 QUE ST ION 1 8 1. Juan invested $24,000 in a mutual fund 5 years ago. Today his investment is worth $34,616. Find the effective annual rate of return on his investment over the 5-year period. A. 10.3%/year B. 8%/year C. 83%/year D. 8.3%/year QUE ST ION 1 9 1. Find the amount of an ordinary annuity for 5 years of quarterly payments of $2,200 that earn interest at 4% per year compounded quarterly. A. $11,222.21 B. $65,511.77 C. $48,441.81 D. $2,684.42 QUE ST ION 2 0 1. Find the present value of the ordinary annuity. Please round the answer to the nearest cent.$2,000 per semiannual period for 7 yr at 12%/year compounded semiannually A. P = $18,589.97 B. P = $17,913.54 C. P = $20,003.52 D. P = $13,147.80 E. P = $9,629.07 QUE ST ION 1 1. A. B. C. D. E. QUE ST ION 2 1. A. B. C. D. QUE ST ION 3 1. A. B. C. D. QUE ST ION 4 1. A. B. C. D. QUE ST ION 5 1. A. B. C. D. QUE ST ION 6 1. A. B. C. D. E. QUE ST ION 7 1. A. B. C. D. E. QUE ST ION 8 1. A. Disjoint B. Not disjoint QUE ST ION 9 1. A. 4 B. 14 C. 8 D. 17 E. 5 F. 1 QUE ST ION 1 0 1. In a survey of 122 consumers conducted in a shopping mall, 82 consumers indicated that they buy brand A of a certain product, 71 buy brand B, and 46 buy both brands. How many consumers participating in the survey buy only brand A? A. 35 consumers B. 17 consumers C. 87 consumers D. 36 consumers E. 51 consumers F. 56 consumers QUE ST ION 1 1 1. In a poll conducted among 180 active investors, it was found that 100 use discount brokers, 122 use full-service brokers, and 54 use both discount and full-service brokers. How many investors use only discount brokers? A. 68 B. 58 C. 46 D. 36 E. 56 QUE ST ION 1 2 1. On a certain day, the Wilton County Jail had 183 prisoners. Of these, 127 were accused of felonies, and 117 were accused of misdemeanors. How many prisoners were accused of both a felony and a misdemeanor? A. 89 prisoners B. 61 prisoners C. 64 prisoners D. 73 prisoners E. 68 prisoners F. 87 prisoners QUE ST ION 1 3 1. A. 4 B. 16 C. 14 D. 2 E. 6 F. 12 QUE ST ION 1 4 1. A. 80 B. 100 C. 90 D. 200 E. 150 F. 180 QUE ST ION 1 5 1. A. 40 B. 90 C. 30 D. 20 E. 170 F. 10 QUE ST ION 1 6 1. A survey of 900 subscribers to the Los Angeles Times revealed that 700 people subscribe to the daily morning edition and 400 subscribe to both the daily and the Sunday editions.How many subscribe to the Sunday edition? A. 500 people B. 700 people C. 600 people D. 300 people E. 900 people F. 100 people QUE ST ION 1 7 1. Three different types of monthly commuter passes are offered by a city's local transit authority for three different groups of passengers. How many different kinds of passes must be possible? A. 9 possible passes B. 18 possible passes C. 15 possible passes D. 6 possible passes E. 12 possible passes F. 11 possible passes QUE ST ION 1 8 1. In a card game, a 2-card hand consisting of an ace and either a face card of diamond or a 10 is called a \"win\". If a standard 52-card deck is used, determine how many winning hands can be dealt.(A \"face card\" is a jack, queen, or king.) A. 48 B. 28 C. 20 D. 16 E. 40 QUE ST ION 1 9 1. An opinion poll is to be conducted among cable TV viewers. Four multiplechoice questions, each with three possible answers, will be asked. In how many different ways can a viewer complete the poll if exactly one response is given to each question? A. 115 different ways B. 81 different ways C. 108 different ways D. 136 different ways E. 82 different ways F. 6 different ways QUE ST ION 2 0 1. A warranty identification number for a certain product consists of a letter of the alphabet followed by a four-digit number. How many possible identification numbers are there if the first digit of the four-digit number must be nonzero? A. 234,000 numbers B. 307,000 numbers C. 99,000 numbers D. 6,000 numbers E. 414,000 numbers F. 432,000 numbers QUE ST ION 2 1 1. An exam consists of six true-or-false questions. Assuming that every question is answered, in how many different ways can a student complete the exam? In how many ways may the exam be completed if a penalty is imposed for each incorrect answer, so that a student may leave some questions unanswered? A. 108; 72 B. 92; 1,439 C. 64; 729 D. 66; 225 E. 15; 1,316 F. 72; 536 QUE ST ION 2 2 1. A Social Security number has seven digits. How many Social Security numbers are possible? A. 10,000,000 B. 5040 C. 720 D. 9,999,999 E. 6,000,000 QUE ST ION 2 3 1. In a survey conducted by a union, members were asked to rate the importance of the following issues: (1) job security, (2) increased fringe benefits, and (3) improved working conditions. Six different responses were allowed for each issue. Among completed surveys, how many different responses to this survey were possible? A. 192 B. 205 C. 216 D. 221 E. 198 QUE ST ION 2 4 1. The 2010 BMW 335i Coupe is offered with a choice of 9 exterior colors (7 metallic and 2 standard), 5 interior colors, and 4 trims. How many combinations involving color and trim are available for the model? A. 180 B. 18 C. 29 D. 117 QUE ST ION 2 5 1. How many international direct-dialing numbers are possible if each number consists of a four-digit area code (the first digit of which must be nonzero) and an eight-digit telephone number (the first digit must be nonzero)? A. 648,000,000,000 B. 486,000,000,000 C. 810,000,000,000 D. 891,000,000,000 E. 1,215,000,000,000 QUE ST ION 1 1. A. yes B. no QUE ST ION 2 1. A. no B. yes QUE ST ION 3 1. A. B. C. D. QUE ST ION 4 1. An experiment consists of selecting a card from a standard deck of playing cards and noting whether the card is black (B) or red (R). Describe an appropriate sample space for this experiment. A. B. C. D. E. QUE ST ION 5 1. An experiment consists of selecting a card from a standard deck of playing cards and noting whether the card is black (B) or red (R). What are the events of this experiment? A. B. C. D. E. QUE ST ION 6 1. An experiment consists of tossing a coin, rolling a die, and observing the outcomes. Describe the event \"A head is tossed and an odd number is rolled.\" A. B. C. D. QUE ST ION 7 1. A sample of two transistors taken from a local electronics store was examined to determine whether the transistors were defective (d) or nondefective (n). What is an appropriate sample space for this experiment? A. B. C. D. QUE ST ION 8 1. In a television game show, the winner is asked to select three prizes from five different prizes, A, B, C, D, and E. Describing a sample space of possible outcomes (order is not important) determine the number of points there are in the sample space corresponding to a selection that includes A. A. 6 B. 9 C. 4 D. 2 QUE ST ION 9 1. As part of a quality-control procedure, an inspector at Bristol Farms randomly selects ten eggs from each consignment of eggs he receives and records the number of broken eggs. Describe the event F that at least nine eggs are broken. A. B. C. D. QUE ST ION 1 0 1. A. 7 B. 8 C. 5 D. 6 E. 4 QUE ST ION 1 1 1. The following breakdown of a total of 18,686 transportation fatalities that occured in 2007 was obtained from records compiled by the U.S. Department of Transportation (DOT). Mode of Transportation Number of Fatalities Car Train Bicycle Plane 16,525 842 698 538 2. What is the probability that a victim randomly selected from this list of transportation fatalities for 2007 died in a train or a plane accident? Round answer to two decimal places. A. 0.05 B. 0.11 C. 0.07 D. 0.08 QUE ST ION 1 2 1. In a survey of 900 likely voters, the following question was asked: Do you support using cameras to identify red-light runners? The results of the survey follow: Answer Strongly Somewhat Somewhat Strongly Don't support support oppose Oppose know Respondents 410 212 95 164 19 2. What is the probability that a person in the survey selected at random favors using cameras to identify red-light runners? A. 0.64 B. 0.69 C. 0.31 D. 0.59 QUE ST ION 1 3 1. According to Mediamark Research, 88 million out of 179 million adults in the United States correct their vision by using prescription eyeglasses, bifocals, or contact lenses. (Some respondents use more than one type.) What is the probability that an adult selected at random from the adult population uses corrective lenses? Round your answer to the nearest thousandth. A. The probability is 0.495 B. The probability is 0.489 C. The probability is 0.003 D. The probability is 0.492 QUE ST ION 1 4 1. One light bulb is selected at random from a lot of 110 light bulbs, of which 2% are defective. What is the probability that the light bulb selected is defective? A. The probability is 0.04 B. The probability is 0.01 C. The probability is 0.02 D. The probability is 0.03 QUE ST ION 1 5 1. If a ball is selected at random from an urn containing two red balls, three white balls, and five blue balls, what is the probability that it will be a white ball? A. The probability is 0.31 B. The probability is 0.33 C. The probability is 0.30 D. The probability is 0.32 QUE ST ION 1 6 1. What is the probability of arriving at a traffic light when it is red if the red signal is flashed for 30 sec, the yellow signal for 5 sec, and the green signal for 40 sec? A. The probability is 0.35 B. The probability is 0.40 C. The probability is 0.50 D. The probability is 0.45 QUE ST ION 1 7 1. The grade distribution for a certain class is shown in the table. Grade AB C DF Frequency of Occurrence 6 6 18 8 2 2. What is the probability that a student selected at random from this class received a passing grade (D or better)? A. The probability is 0.95 B. The probability is 0.97 C. The probability is 0.96 D. The probability is 0.94 QUE ST ION 1 8 1. In a sweepstakes sponsored by Gemini Paper Products, 100,000 entries have been received. If 2 grand prize, 10 first prizes, 35 second prizes, and 600 third prizes are to be awarded, what is the probability that a person who has submitted one entry will win a prize? A. The probability is 0.00717 B. The probability is 0.01347 C. The probability is 0.00647 D. The probability is 0.00654 QUE ST ION 1 9 1. In a survey conducted in 2007 of 954 adults 18 years old and older, the following question was asked: How are American companies doing on protecting the environment compared with companies in other countries? The results are summarized below: Answer Respondents Behind Equal Ahead 382 236 240 Don't know 96 2. If an adult in the survey selected at random, what is the probability that he or she said that American companies are equal or ahead on protecting the environment compared with companies in other countries? Round your answer to two decimal places. A. 0.5 B. 0.43 C. 0.58 D. 0.65 E. 0.35 QUE ST ION 2 0 1. A study conducted by the Corrections Department of a certain state revealed that 163,767 people out of a total adult population of 1,799,738 were under correctional supervision (on probation, parole, or in jail). What is the probability that a person selected at random from the adult population in that state is under correctional supervision? A. 0.091 B. 0.083 C. 0.085 D. 0.089 E. 0.087