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6.01 Simple and compound interest using sequences

Interactive practice questions

Calculate the simple interest earned on an investment of $\$5110$$5110 at $3%$3% p.a. for $8$8 years.

Give your answer to the nearest cent.

Easy
1min

Calculate the simple interest on a loan of $\$3800$$3800 at $9%$9% p.a. for $10$10 years.

Give the answer to the nearest dollar.

Easy
1min

Calculate the simple interest earned on an investment of $\$6350$$6350 at a rate of $6%$6% p.a. for $13$13 months.

Medium
1min

Yvonne takes out a car loan of $\$7000$$7000 at a simple interest rate of $8%$8% p.a.

She plans to repay the loan over $4$4 years through regular monthly repayments.

Medium
3min
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Outcomes

4.1.1.1

use a recurrence relation A_(𝑛+1) = 𝑟A_𝑛 to model a compound interest loan or investment, and investigate (numerically and graphically) the effect of the interest rate and the number of compounding periods on the future value of the loan or investment, e.g. payday loan

4.1.1.3

solve problems involving compound interest loans or investments, e.g. determining the future value of a loan, the number of compounding periods for an investment to exceed a given value, the interest rate needed for an investment to exceed a given value

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