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9.02 Compound interest

Interactive practice questions

Which three of the following statements about compound interest are true?

Interest is earned on the principal.

A

The interest in any time period is calculated using only the original principal.

B

Interest is earned on any accumulated interest.

C

The amount of interest earned in any time period changes from one period to the next.

D
Easy
< 1min

$\$8000$$8000 is invested for $3$3 years at a rate of $3%$3% p.a. compounded annually.

Easy
6min

$\$3000$$3000 is invested at $4%$4% p.a., compounded annually. The table below tracks the growth of the principal over three years.

Easy
5min

A $\$7510$$7510 investment earns interest at $4.5%$4.5% p.a. compounded annually over $6$6 years. Use the compound interest formula to calculate the value of this investment to the nearest cent.

Easy
2min
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Outcomes

ACMEM169

understand the concept of compound interest as a recurrence relation

ACMEM171

use technology to calculate the future value of a compound interest loan or investment and the total interest paid or earned

ACMEM173

use technology to investigate the effect of the interest rate and the number of compounding periods on the future value of a loan or investment

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