Compound Interest Answers

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5

Choose the proper rationale. “In the compound interest equation, time (the variable t) has the biggest effect on the outcome because...”

A
Time is usually the largest number in the equation.
B
Time uses the largest units (years are bigger than dollars or percentages).
C
Time is an exponent while the other units are factors.
D
Time is the independent variable.
8

Shawnee is putting $3,500 into an account earning 4.85% interest compounded quarterly. She estimates that it will take just over 11 years for this investment to grow to $6,000. Which of the following is a true statement?

A
Shawnee’s estimate of the time is too low.
B
Shawnee’s estimate of the time is correct.
C
Shawnee’s estimate of the time is too high.
D
Shawnee does not have enough information to estimate the time.
9

The same amount of principal is invested in different accounts earning the same interest rate. Which of the following accounts would have the greatest accumulated value at the end of one year?

A
An account earning no interest
B
An account earning simple interest
C
An account earning interest compounded annually
D
An account earning interest compounded daily
11

Approximately how much principal would need to be placed into an account earning 3.575% interest compounded quarterly so that it has an accumulated value of $68,000 at the end of 30 years?

A
$23,706
B
$23,377
C
$52,069
D
$58,944
12

How much more interest is earned on an investment of $12,585 at 3.5% interest over 5 years if the interest is compounded annually rather than earning simple interest?

A
They are the same.
B
$159.65
C
$2,362.03
D
$12,744.65
13

Porsha calculates the amount of money she will have at the end of 6 years on a $5,000 investment earning 3.75% interest compounded quarterly. She writes the following expression: Which of the following statements about Porsha's expression is true?

Question illustration
A
Porsha's expression is correct.
B
Porsha's expression should have 1 + 0.009375 in the parentheses.
C
Porsha's expression should have an exponent of 6, not 24.
D
Porsha's expression should have both 1 + 0.009375 in the parentheses and an exponent of 6.
14

You have $12,000 to invest and want to keep your money invested for 8 years. You are considering the following investment options. Choose the investment option that will earn you the most money.

A
3.99% compounded monthly
B
4% compounded quarterly
C
4.175% compounded annually
D
4.2% simple interest
15

An investment of $7,650 earns interest at the rate of 5% and is compounded quarterly. What is the accumulated value of the investment at the end of 9 years?

A
$11,964.17
B
$11,867.66
C
$9,338.56
D
$8,554.94
16

Money is invested into an account earning 4.25% interest compounded annually. If the accumulated value after 18 years will be $25,000, approximately how much money is presently in the account?

A
$5,875
B
$11,820
C
$19,125
D
$23,960
17

The same amount of principal is invested in different accounts earning the same interest rate. Which of the following accounts would have the greatest accumulated value at the end of one year?

A
An account earning no interest
B
An account earning simple interest
C
An account earning interest compounded annually
D
An account earning interest compounded daily
18

A principal of $4,570 is placed in an account that earns 4.5% interest. If the interest is compounded annually, how much money will be in the account at the end of 5 years?

A
$4654.15
B
$4775.65
C
$5638.75
D
$5695.05
19

How much money would need to be deposited into an account earning 5.75% interest compounded annually in order for the accumulated value at the end of 25 years to be $85,000?

A
$75,425.52
B
$59,130.43
C
$21,009.20
D
$20,258.70
20

Shawnee is putting $3,500 into an account earning 4.85% interest compounded quarterly. She estimates that it will take just over 11 years for this investment to grow to $6,000. Which of the following is a true statement?

A
Shawnee’s estimate of the time is too low.
B
Shawnee’s estimate of the time is correct.
C
Shawnee’s estimate of the time is too high.
D
Shawnee does not have enough information to estimate the time.

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