14. [-/4 Points] DETAILS HARMATHAP12 1.6.040. Complete the problem by using the accompanying gure, which shows a supply function and a demand function. (Assume price is measured in dollars.) p 40 30 20 10 10 20 30 40 50 60 (D (a) If the price is $28, what quantity is demanded? (b) If the price is $28, what quantity is supplied? (c) 15 there a surplus or shortage when the price is $28? 0 surplus O shortage How many units is the surplus or shortage? Need Help? _ 15. [-I4 Points] DETAILS HARMATHAP12 1.6.041. Complete the problem by using the accompanying gure, which shows a supply function and a demand function. (Assume price is measured in dollars.) p 40 30 20 10 10 20 30 40 50 60 Q) (a) If the price is $20, what quantity is supplied? (b) If the price is $20, what quantity is demanded? (c) 15 there a surplus or a shortage when the price is $20? 0 surplus O shortage How many units is this surplus or shortage? Need Help? 16. [-11 Points] HARMATHAP1Z 5.3.034. PRACTICE ANOTHEI Disposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using US. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled by D\") = 103205032292: where t is the number of years past 2010. In what year is disposable income predicted to be $15 trillion (that is, $15,000 billion)? l Need Help? 17. [-12 Points] DETAILS The demand function for a product is given by p = SOOOe'q/'I. (a) At what price per unit will the quantity demanded equal 12 units? (Round your answer to two decimal places.) $ l (b) If the price is $91.60 per unit, how many units will be demanded, to the nearest unit? l units Need Help? HARMATHAP12 5.3.036. MY NOTES PRACTICE ANOTHEI 9. [-/1 Points] DETAILS HARMATHAP12 6.2.043. MY NOTES PRACTICE ANOTHER Mary Stahley invested $1500 in a 48-month certificate of deposit (CD) that earned 8.5% annual simple interest. When the CD matured, she invested the full amount in a mutual fund that had an annual growth equivalent to 18% compounded annually. How much was the mutual fund worth after 6 years? (Round your answer to the nearest cent.) $ Need Help? Read It 10. [-/2 Points] DETAILS HARMATHAP12 6.2.043.EP. MY NOTES PRACTICE ANOTHER Mary Stanley invested $6500 in a 48-month certificate of deposit (CD) that earned 6.5% annual simple interest. How much did Mary receive when the CD matured? $ When the CD matured, she invested the full amount in a mutual fund that had an annual growth equivalent to 20% compounded annually. How much was Mary's mutual fund worth after 10 years? (Round your answer to the nearest cent.) $ Need Help? Read It 11. [-/1 Points] DETAILS HARMATHAP12 6.2.007. MY NOTES PRACTICE ANOTHER Find the future value if $6000 is invested for 11 years at 8% compounded annually. (Round your answer to the nearest cent.) $ Need Help? Read It Watch It11. [-l2 Points] DETAILS HARMATHAP1Z 6.3.037. MY NOTES PRACTICE ANOTHER Jane Adele deposits $1,300 in an account at the beginning of each 3-month period for 10 years. If the account pays interest at the rate of 12%, compounded quarterly, how much will she have in her account aer 10 years? (a) State whether the problem relates to an ordinary annuity or an annuity due. 0 ordinary annuity O annuity due (b) Solve the problem. (Round your answer to the nearest cent.) 5 I Need Help? 12. [-I1 Points] HARMATHAP12 6.4.004. PRACTICE ANOTHER Find the present value (in dollars) of an annuity that pays $6,000 at the end of each 6month period for 6 years if the interest rate is 6% compounded semiannually. (Round your answer to two decimal places.) sg} Need Help? _ 13. [-I1 Points] HARMATHAP1Z 6.4.005. PRACTICE ANOTHER Suppose a state lottery prize of $2 million is to be paid in 10 payments of $200,000 each at the end of each of the next 10 years. If money is worth 10%, compounded annually, what is the present value of the prize? (Round your answer to the nearest 5| I Need Help? _'_' 4. [-/1 Points] DETAILS HARMATHAP12 6.3.009. MY NOTES PRACTICE ANOTHER The Weidmans want to save $35,000 in 4 years for a down payment on a house. If they make monthly deposits in an account paying 12%, compounded monthly, what is the size of the payments that are required to meet their goal? (Round your answer to the nearest cent.) $ Need Help? Read It 5. [-/1 Points] DETAILS HARMATHAP12 6.3.017. MY NOTES PRACTICE ANOTHER Find the future value of an annuity due of $1,000 paid at the beginning of each 6-month period for 9 years if the interest rate is 4%, compounded semiannually. (Round your answer to the nearest cent.) $ Need Help? Read It 6. [-/1 Points] DETAILS HARMATHAP12 6.3.019. MY NOTES PRACTICE ANOTHER How much must be deposited at the beginning of each year in an account that pays 6%, compounded annually, so that the account will contain $28,000 at the end of 4 years? (Round your answer to the nearest cent.) $ Need Help? Read It15. [-/1 Points] HARMATHAP12 6.2.011. MY NOT What lump sum do parents need to deposit in an account earning 6%, compounded monthly, so that it will grow to $50,000 for their son's college fund in 13 years? (Round your answer to the nearest cent.) ea Need Help? 16. [-/1 Points] HARMATHAP12 6.2.013. MY N01 What present value amounts to $15,000 if it is invested for 5 years at 7% compounded annually? (Round your answer to the nearest cent.) $:l Need Help? _' 11. [-/1 Points] HARMATHAP12 6.2.014.Ml. MY N01 What present value P amounts to $250,000 if it is invested at 8%, compounded semiannually, for 11 years? (Round your answer to the nearest cent.) e: Need Help? 17. [-11 Points] DETAILS HARMATHAP12 1.6.045. Find the market equilibrium point for the following demand and supply functions. Demand: 2p Supply! 39 q (q. p) = ( ) Need Help? q + 81 64 18. [-11 Points] DETAILS HARMATHAP12 1.6.047. Find the equilibrium point for the following supply and demand functions. 6q + 200 13:: + 10 Demand: p SUBDIYE P (4. p) = ( ) Need Help? 2. [-/1 Points] DETAILS HARMATHAP12 1.3.005.MI. Find the slope m of the line passing through the given pair of points. (If an answer is undefined, enter UNDEFINED.) (25, 15) and (20, -5) m = Need Help? Read It Watch It Master It16. [-11 Points] DETAILS HARMATHAP12 1.6.044.M|. Find the market equilibrium point for the following demand and supply functions. Demand: p = 4q + 282 Supply: p = 6:1 + 5 (a, p) =( ) Need Help? 7. [-/1 Points] DETAILS HARMATHAP12 1.3.040. Write the equation of the line shown. (Assume integer intercepts.) 10 4 X 2 4 6 8 10 12 i Need Help? Read It19. [-11 Points] DETAILS HARMATHAP12 1.5.009. Solve the system of equations by substitution. (Give an exact answer. Do not round.) 2x y 5x + 6y (x, y) = ( ) Need Help? _' 2 7 1o. [-13 Points] HARMATHAP12 1.6.026. MY NC A company distributes college logo sweatshirts and sells them for $55 each The total cost function is linear, and the total cost for 80 sweatshirts is $4318, whereas the total cost for 230 sweatshirts is $6418. (a) Write the equation for the revenue function R(X). R(x) = (b) Write the equation for the total cost function C(x). C(x) = (c) Find the break-even quantity. x = :] sweatshirts Need Help? _ HARMATHAP12 6.4.006. PRACTICE ANOTHER 14. [/1 Points] How much (in dollars) is needed in an account that earns 9.6% compounded monthly to withdraw $1,000 at the end of each month for 15 years? (Round your answer to two decimal places.) 3: Need Help? PRACTICE ANOTHER 15. [I1 Points] HARMATHAP12 6.4.007. With a present value of $125,000, what is the size of the withdrawais that can be made at the end of each quarter for the next 10 years if money is worth 6.6%, compounded quarterly? (Round your answer to the nearest cent.) $ 1: Need Help? 16. [-I1 Points] HARMATHAP12 6.4.015. Explain the difference between an ordinary annuity and an annuity due. O with an ordinary annuity, payments are made at the end of each period. With an annuity due, payments are made at the beginning of each period. 0 Annuities due have higher interest rates than ordinary annuities. 0 Ordinary annuities have xed interest rates. with an annuity due, the interest rate may change. 0 Ordinary annuities earn simple interest. Annuities due earn compound interest. 0 Annuities due have lower interest rates than ordinary annuities. Need Help? 5. [-/2 Points] DETAILS HARMATHAP12 1.3.029.MI. Write the equation of the line that passes through the given point and has the given slope. (2, 0) with slope -7 Graph the line. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. Fill -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 7 8 9 10 No Solution -12 -14 -16 -18 -20 Help WebAssign. Graphing Tool Need Help? Read It Watch It Master It12. [-11 Points] HARMATHAP12 1.6.036.Ml. PRACTICE ANOTHER Suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,300 when the price is $4.85 each but that the demand is 3,500 when the price is $4.25 each. Assuming that the demand function is linear, write its equation, Use p for price (in dollars) and q for quantity. @ Need Help? @ @ 4. [-/1 Points] DETAILS HARMATHAP12 6.1.009.MI. If you lend $3300 to a friend for 15 months at 8% annual simple interest, find the future value of the loan. es Need Help? @ 5. [-/1 Points] DETAILS HARMATHAP12 6.1.017. If you want to earn 4% annual simple interest on an investment, how much should you pay for a note that will be worth $18,500 in 10 months? (Round your answer to two decimal places.) $ :1 . Need Help? 6. [-/1 Points] DETAILS HARMATHAP12 6.1.019. If $5000 is invested at 9% annual simple interest, how long does it take to be worth $7250? :lvr Need Help? 10. [-11 Points] DETAILS HARMATHAP12 5.2.043. Use the properties of logarithms to write the expression as a single logarithm. logS(x + 1) + % logS(X) Need Help? 11. [-I1 Points] DETAILS HARMATHAP12 5.2.044. Use the properties of logarithms to write the expression as a single logarithm. log(Bx + 1) % log(x + 1) Need Help? 9. [-l4 Points] HARMATHAP121.3.052. Using data from 2014 and projected to 2019, the percentage of people in the world who are Internet users can be described by p = 2.14x + 32.2 where x is the number of years after 2010.'t (a) Find the slope m and the p-intercept of the graph of this linear function. slope E p-i ntercept :] (b) Interpret the meaning of the slope as a rate of change. O The world population with Internet service is decreasing by multiplying 1 in percent each year. 0 The world population with Internet service is increasing by multiplying m percent each year. Q The world population with Internet service is increasing by an additional m percentage points each year. Q The world population with Internet service is decreasing by m percentage points each year. Q The world population with Internet service does not change each year. (c) Write a sentence that interprets the meaning of the pintercept. O The pintercept shows the percentage of people in the world who were Internet users in 2014. O The pintercept shows the percentage of people in the world who were Internet users in 1990. O The p-intercept shows the percentage of people in the world who were Internet users in 2010. O The p-intercept gives a prediction the of the percent rise in users during the rst five years. O The pintercept shows the percentage of people in the world who will be using the Internet after 2019. Ne-enl will 4. [-/1 Points] DETAILS HARMATHAP12 5.2.013. Solve for x by writing the equation in exponential form. (Round your answer to three decimal places.) In(2x + 4) = 2.3 X = Need Help? Read It Watch It 5. [-/1 Points] DETAILS HARMATHAP12 5.2.019. Write the equation in logarithmic form and solve for x. (Round your answer to three decimal places.) e7x + 3 = 0.51 X = Need Help? Read It Watch It4. [I5 Points] HARMATHAP12 1.3.023.M|.SA. MY NO' This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the slope m and y-intercept b. Then graph the equation. 5x + 4y = 20 Click here to beg Need Help? 9. [-l2 Points] HARMATHAP12 6.3.025. PRACTICE ANOTH ER How much must be invested at the beginning of each year at 6%, compounded annually, to pay off a debt of $80,000 in 5 years? (a) State whether the problem relates to an ordinary annuity or an annuity due. 0 ordinary annuity O annuity due (b) Solve the problem. (Round your answer to the nearest cent.) 3 Need Help? _ 10. [/2 Points] HARMATHAP12 6.3.035. PRACTICE ANOTHER Grandparents plan to open an account on their grandchild's birthday and contribute each month until she goes to college. How much must they contribute at the beginning of each month in an investment that pays 9%, compounded monthly, if they want the balance to be $200,000 at the end of 18 years? (a) State whether the problem relates to an ordinary annuity or an annuity due. 0 ordinary annuity O annuity due (b) Solve the problem. (Round your answer to the nearest cent.) s:l Need Help? _ 20. [12 Points] HARMATHAP1Z 6.4.028. PRACTICE ANOTHER As a result ofa court settlement, an accident victim is awarded $1.5 million. The attorney takes one-third of this amount, another third is used for immediate expenses, and the remaining third is used to set up an annuity. What amount will this annuity pay at the beginning of each quarter for the next 5 years if the annuity earns 7.2%, compounded quarterly? (3) Decide whether the problem relates to an ordinary annuity or an annuity due. O ordinary annuity O annuity due (b) Solve the problem. (Round your answer to the nearest cent.) $ Need Help? 7. [-I1 Points] HARMATHAP1Z 6.3.020. PRACTICE ANOTH ER What is the size of the payments that must be deposited at the beginning of each 6-month period in an account that pays 6.6%, compounded semiannually, so that the account will have a future value of $140,000 at the end of 16 years? (Round your answer to the nearest cent.) 3 Need Help? @ 8. [-I2 Points] HARMATHAP1Z 6.3.023. PRACTICE ANOTH ER Parents agree to invest $400 (at 10%, compounded semiannually) for their son an the December 31 or June 30 following each semester that he makes the dean's list during his 4 years in college. If he makes the dean's list in each of the 8 semesters, how much money will his parents have to give him when he graduates? (a) State whether the problem relates to an ordinary annuity or an annuity due. O ordinary annuity O annuity due (b) Solve the problem. (Round your answer to the nearest cent.) $ i: Need Help? 7. [-11 Points] DETAILS HARMATHAP12 5.1.033.Ml. If $1400 is invested for x years at 8%, compounded quarterly, the future value that will result is represented by the following equation. 5 = 14oo(1.02)4x What amount will result in 6 years? (Round your answer to the nearest cent.) $:l Need Help? |_ | E 8. [-/2 Points] DETAILS HARMATHAP12 5.1.034. The purchasing power P of a fixed income of $20,000 per year (such as a pension) after t years of 5% inflation can be modeled by P = 20,000(1.05)t. (a) Find the purchasing power after 5 years. (Round your answer to the nearest dollar.) $:] (b) Find the purchasing power after 20 years. (Round your answer to the nearest dollar.) =5: Need Help? 17. [-/1 Points] DETAILS HARMATHAP12 6.4.017. MY NOTES PRACTICE ANOTHER Find the present value of an annuity due that pays $3000 at the beginning of each quarter for the next 6 years. Assume that money is worth 5.8%, compounded quarterly. (Round your answer to the nearest cent.) $ Need Help? Read It 18. [-/1 Points] DETAILS HARMATHAP12 6.4.019. MY NOTES PRACTICE ANOTHER What amount must be set aside now to generate payments of $20,000 at the beginning of each year for the next 15 years if money is worth 5.25%, compounded annually? (Round your answer to the nearest cent.) $ Need Help? Read It 19. [-/1 Points] DETAILS HARMATHAP12 6.4.020. MY NOTES PRACTICE ANOTHER Suppose an annuity will pay $12,000 at the beginning of each year for the next 9 years. How much money is needed to start this annuity if it earns 7.3%, compounded annually? (Round your answer to the nearest cent.) $ Need Help? Read It Watch It12. [-l8 Points] HARMATHAP12 5.3.001.MI.SA. This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exam 9 Solve the equation. 9'\" = 4,782,969 We want to solve the equation 96" = 4,782,969 for X, and give the answer correct to three decimal places. The first step in solving an exponential equation is to the exponential, which has already been done in this equation. The next step is to take the logarithm either base e or base 10 of both sides of the equation. We will choose base e. This gives us In( ) = ln(4,782,969). Submit mum cannot come back) 13. [-/5 Points] DETAILS HARMATHAP12 1.6.039. Complete the problem by using the accompanying gure, which shows a supply function and a demand function. (Assume price is measured in dollars.) p 1- . ... . ... . .. q 10 20 30 40 50 60 Q) (a) Label each function as "demand" or "supply." function 1 function 2 --Select--. v (b) which of the labeled points is the equilibrium point? 0 point A 0 point B 0 point C 0 point D Determine the price and quantity at which market equilibrium occurs. price $:] :1 quantity Need Help? _' units 1. [-/3 Points] DETAILS HARMATHAP12 1.3.001. Find the intercepts. 5x + 6y = 30 x-intercept x = y-intercept y = Graph the function. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. Fill -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 No Solution Help WebAssign. Graphing Tool Need Help? Read It Watch It20. [-/2 Points] DETAILS HARMATHAP12 5.3.055. Suppose that the equation / = 500(0.05).represents the number of employees working t years after a company begins operations. (a) How many employees are there when the company opens (at t = 0)? employees (b) After how many years will at least 100 employees be working? (Round your answer to one decimal place.) yr Need Help? Read It Watch It 21. [-/2 Points] DETAILS HARMATHAP12 5.3.058.MI. Suppose that the number y of otters t years after otters were reintroduced into a wild and scenic river is given by the formula below. y = 2500 - 2490e-0.1t (a) Find the population when the otters were reintroduced (at t = 0). otters (b) How long will it be before the otter population numbers 1800? (Round your answer to one decimal place.) yr Need Help? Read It Master It12. [-/1 Points] DETAILS HARMATHAP12 6.2.008. What is the future value if $8100 is invested for 9 years at 8% compounded semiannually? (Round your answer to the nearest cent.) $ Need Help? Read It Watch It 13. [-/2 Points] DETAILS HARMATHAP12 6.2.009. What are the future value and the interest earned if $3600 is invested for 5 years at 8% compounded quarterly? (Round your answers to the nearest cent.) future value $ interest earned $ Need Help? Read It 14. [-/1 Points] DETAILS HARMATHAP12 6.2.010.MI. What interest will be earned if $6200 is invested for 8 years at 13% compounded monthly? (Round your answer to the nearest cent.) $ Need Help? Read It Master It1. [-12 Points] DETAILS HARMATHAP12 6.1.003. $15,000 is invested for 2 years at an annual simple interest rate of 11%. (a) How much interest will be earned? $:l (b) What is the future value of the investment at the end of the 2 years? $:l Need Help? 2. [-12 Points] DETAILS HARMATHAP12 6.1.005. $10,000 is invested for 9 months at an annual simple interest rate of 2%. (a) How much interest will be earned? $:l (b) What is the future value of the investment after 9 months? $:l Need Help? _' 3. [-11 Points] DETAILS HARMATHAP12 6.1.007. If you borrow $500 for 6 months at 2% annual simple interest, how much must you repay at the end of the 6 months? 56 Z Need Help? _ 7. [-/1 Points] DETAILS HARMATHAP12 5.2.018. Write the equation in logarithmic form. 91/2 = 3 Need Help? Read It 8. [-/1 Points] DETAILS HARMATHAP12 5.2.039.MI. Write the expression as the sum or difference of two logarithmic functions containing no exponents. 109 2 x V x + 8 ) Need Help? Read It Master It 9. [-/1 Points] DETAILS HARMATHAP12 5.2.041. Use the properties of logarithms to write the expression as a single logarithm. In(4x) - In(4y) Need Help? Read It Watch It1. [-/1 Points] HARMATHAP12 6.3.007.MI. MY N0" Find the future value of an ordinary annuity of $3,000 paid quarterly for 3 years, if the interest rate is 6%, compounded quarterly. (Round your answer to the nearest cent.) $E Need Help? 2. [-/1 Points] HARMATHAP12 6.3.008. MY NO' Find the future value of an ordinary annuity of $4,000 paid quarterly for 7 years, if the interest rate is 9%, compounded quarterly. (Round your answer to the nearest cent.) e: Need Help? 3. [-/1 Points] HARMATHAP12 6.3.011. MY NO' If $1500 is deposited at the end of each quarter in an account that earns 4% compounded quarterly, after how many quarters will the account contain $60,000? (Round your answer UP to the nearest quarter.) quarters Need Help? _ 13. [-/1 Points] DETAILS HARMATHAP12 5.3.005. Solve the equation. Give your answer correct to 3 decimal places. 85,000 = 10,000(1.02)9x X = Need Help? Read It 14. [-/1 Points] DETAILS HARMATHAP12 5.3.015. Solve the equation. log (3x + 7) = 3 X = Need Help? Read It Watch It 15. [-/1 Points] DETAILS HARMATHAP12 5.3.018. Solve the equation. Give your answer correct to 3 decimal places. In(x) + In(9) = 7 X = Need Help? Read It18. [-12 Points] DETAILS HARMATHAP12 5.3.040. The total cost function for a product is C(X) = 850 ln(x + 10) + 1600 where x is the number of units produced. (a) Find the total cost of producing 100 units. (Round your answer to the nearest cent.) $:l (b) Producing how many units will give total costs of $8500? (Round your answer to the nearest whole number.) Need Help? _' 19. [-/1 Points] DETAILS HARMATHAP12 5.3.051. Suppose the supply ofx units of a certain product at price p dollars per unit is given by p = 19 + 6 |n(4x+ 1). How many units of this product would be supplied when the price is $55 each? (Round your answer to the nearest whole number.) Need Help? 6. [-11 Points] DETAILS HARMATHAP12 1.3.037. Write the equation of the line described. Through (6, 4) and (7, 3) Need Help? 6. [-/1 Points] DETAILS HARMATHAP12 5.2.021. MY NOTES PR Graph the function. y = log-(x) 4 4 10/ 4 hot 10 10/ 5 5 5 5 X -10 -5 - X 10 -10 -5 - X 5 10 -10 -5 X 5 10 -10 -5 5 10 -5 -5 -5 -5 O -10 -10 - 10 - 10 Need Help? Read It11. [-I3 Points] DETAILS HARMATHAP12 1.6.031. The graphs of the demand function and supply function for a certain product, are given below. Use these graphs to answer the questions. P P 1 L 600 - 600 - 400 400 > - Demand L 200 l 200 . _ _ Supply q q 200 400 600 800 Q) 200 400 600 800 (a) How many units q are demanded when the price p is $100? (b) How many units q are supplied when the price p is $100? (c) Will there be a market surplus (more supplied) or shortage (more demanded) when p = $100? O surplus O shortage Need Help? _' 1. [-/1 Points] DETAILS HARMATHAP12 5.2.003. Use the definition of a logarithmic function to rewrite the equation in exponential form. 1 = 10949(7) N latch It Need Help? Read It 2. [-/1 Points] DETAILS HARMATHAP12 5.2.005.MI. Solve for x by writing the equation in exponential form. log 5 (x) = 2 X = Need Help? Read It Watch It Master It 3. [-/1 Points] DETAILS HARMATHAP12 5.2.009. Solve for x by writing the equation in exponential form. log-(3x + 7) = 2 X = Need Help? Read It3. [-/3 Points] DETAILS HARMATHAP12 1.3.017. Find the slope m and y-intercept b. (Give exact answers. Do not round. If an answer is undefined, enter UNDEFINED. If an answer does not exist, enter DNE.) y=7X_1 3 3' m=:i Graph he equation. 7 . . . . . . . Graph Layers (( After you add an object to the graph you can use Graph Layers to View and edit its properties. 5 WEWWI Solution I -3 J. . -5 .5 Help '7 WebAssign. Graphing Tool Need Help? 8. [-/4 Points] DETAILS HARMATHAP12 1.3.049.MI. MY NOTES A $240,000 building is depreciated by its owner. The value y of the building after x months of use is y = 240,000 - 1500x. (a) Graph this function for x 2 0. y 400 000 400 000 400 000 400 000 300 000 300 000 300 000 300 000 200 000 200 000 200 000 200 000 100 000 100 000 100 000 100 000 X X X O 50 100 150 200 50 100 150 200 50 100 150 200 50 100 150 200 i (b) How long is it until the building is completely depreciated (its value is zero)? months (c) The point (40, 180,000) lies on the graph. Explain what this means. The point (40, 180,000) means that after months the value of the building will be $ Need Help? Read It Watch It Master It