need help with homework questions

Question 1

How much do we need to invest as a lump sum at 2.4% compounded quarterly in order to have a total of $60,000 saved in 30 years? Round your answer to the nearest cent.

Group of answer choices

$29,088.91

$31,496.04

$23,919.86

$29,268.03

Question 2

Find the Effective Annual Yield for a $20,000 investment that grew to $50,000 in 23 years. Report your answer in percent notation.

Group of answer choices

4.24%

4.78%

4.06%

3.01%

Question 3

You are saving for your child's college fund. If you invest $150 dollars each month into an account earning 2.1% interest compounded monthly, how much will you have saved in 18 years? Round your answer to the nearest cent.

Group of answer choices

$36,300.08

$35,003.97

$39,332.65

$40,473.33

Question 4

You are in the market to buy a house. Find the monthly payments required to pay off a $350,000, 30-year mortgage with a rate of 4.5%. Round your answer to the nearest cent.

Group of answer choices

$1,089.02 monthly

$1,773.40 monthly

$1,679.89 monthly

$2,112.48 monthly

Question 5

Given the following subsets of the universal set U = {apple, orange, banana, strawberry, watermelon, pineapple, tomato}:

A = {apple, strawberry, watermelon, tomato}

B = {apple, strawberry, watermelon, pineapple}

C = {tomato, banana, orange}

List the elements of the setB AND A:

Group of answer choices

{pineapple}

{apple, strawberry, watermelon, pineapple, tomato}

{apple, strawberry, watermelon, tomato, banana, orange}}

{apple, strawberry, watermelon}

Question 6

Given the following subsets of the universal set U = {apple, orange, banana, strawberry, watermelon, pineapple, tomato}:

A = {apple, strawberry, watermelon, tomato}

B = {apple, strawberry, watermelon, pineapple}

C = {tomato, banana, orange}

List the elements of the setIn C but NOT in A:

Group of answer choices

{pineapple}

{tomato}

{apple, strawberry, watermelon}

{banana, orange}

Question 7

500 families were surveyed regarding their favorite all time movie preferences. Of the 500 families, 435 families enjoyed The Truman Show, 393 families enjoyed Forrest Gump, and 456 families enjoyed The Truman ShowORForrest Gump for their favorite all time movie.

How many families enjoyJUSTThe Truman Show?

Use a Venn Diagram to solve.

Group of answer choices

84 families

63 families

21 families

44 families

Question 8

500 families were surveyed regarding their favorite all time movie preferences. Of the 500 families, 435 families enjoyed The Truman Show, 393 families enjoyed Forrest Gump, and 456 families enjoyed The Truman ShowORForrest Gump for their favorite all time movie.

How many families enjoybothThe Truman Show and Forrest Gump?

Use a Venn Diagram to solve.

Group of answer choices

63 families

372 families

44 families

21 families

Question 9

You are making smoothies for the summer. You have 8 types of fruit, 3 types of greens, and 4 types of milk to make your smoothies with. How many different smoothie combinations can you create?

Group of answer choices

15

60

192

96

Question 10

It's hot out there! You made a batch of 24 frozen ice pops and would like to select a group of 3 to test for quality control. How many possible groups of 3 could you select?

Group of answer choices

2,090

2,024

506

12,144

Question 11

You are at Walmart buying pool noodles for the summer. You are selecting 5 pool noodles from a bin that contains 9 green noodles, 16 red noodles, 20 blue noodles, and 17 yellow noodles. What is the probability that you select 2 yellow, 1 blue, and 2 red pool noodles? Round your answer to 5 decimal places.

Group of answer choices

0.00191

0.00034

0.00168

0.00219

Question 12

The following data represents the popularity of meat pizza toppings during lunch and dinner:

What is the probability that a randomly selected customer orders pepperoni? Round your answer to 4 decimal places.

Group of answer choices

0.7077

0.6692

0.4643

0.2759

Question 13

The following data represents the popularity of meat pizza toppings during lunch and dinner:

What is the probability that a randomly selected lunch time customer orders sausage? Round your answer to 3 decimal places.

Group of answer choices

0.513

0.714

0.300

0.315

Question 14

64% of swimmers are women. 73% of women prefer swimming at the beach over swimming in a pool. 44% of men prefer swimming in a pool over swimming at the beach. What percent of swimmers are men that prefer to swim at the beach?

Group of answer choices

20.16%

46.72%

15.84%

21.09%

Question 15

The probability that Devin Booker makes a free throw shot is 90.5%. Assuming that each free throw is independent, what is the probability that he makes exactly 2 out of 3 free throws? Round your answer to four decimal places.

Group of answer choices

0.0082

0.0857

0.0778

0.7412

Question 16

Given the following data representing the weight of 7 watermelons, recorded in pounds, give the mean, median, and mode of the data set.

16 20 21 18 16 16 19

a) Find themeanof the data set:

b) Find themedianof the data set:

c) Find themodeof the data set:

Question 17

Given the following data representing the weight of 7 watermelons, recorded in pounds:

16 20 21 18 16 16 19

Find thestandard deviationof the data set. Round your answer to two decimal places.

s=(xx)2n1

Group of answer choices

2.24

2.08

2.19

2.03

Question 18

Tiki torches are found to last an average of 360 minutes and be normally distributed. The standard deviation of tiki torch light duration is 32 minutes. What percent of tiki torches last longer than 416 minutes?

Group of answer choices

95.99%

4.23%

3.92%

4.01%

Question 19

Tiki torches are found to last an average of 360 minutes and be normally distributed. The standard deviation of tiki torch light duration is 32 minutes. What percent of tiki torches last between 320 and 432 minutes?

Group of answer choices

88.49%

98.78%

88.22%

10.56%

Question 20

Tiki torches are found to last an average of 360 minutes and be normally distributed. The standard deviation of tiki torch light duration is 32 minutes. What percent of tiki torches last less than 296 minutes?

Group of answer choices

97.72%

3.62%

2.28%

4.79%