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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 set  B  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 set  In 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 Show OR Forrest Gump for their favorite all time movie.

 

How many families enjoy JUST The 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 Show OR Forrest Gump for their favorite all time movie.

 

How many families enjoy both The 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

 

 

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