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9.01 Simple interest review

Worksheet
Simple interest
1

If \$16\,716 of simple interest was earned in 7 years, find how much interest was earned:

a

Each year

b

Each month

2

Assuming that a year has 365 days and 52 weeks, calculate the simple interest earned on the following investments:

a

\$2540 at 9\% p.a. for 2 years.

b

\$2010 at a rate of 6\% p.a. for 13 months.

c

\$1050 at a semiannual rate of 1.1\% for 9 years.

d

\$7000 at 1.8\% per quarter for 9 years.

e

\$5320 at 6\% p.a. for 95 weeks.

f

\$5440 at 6\% p.a. for 566 days.

3

Ned borrowed \$3600 from a bank at a simple interest rate of 2.5\% for one year.

a

How much interest will Ned need to pay after one year?

b

What is the total amount Ned will have to repay the bank at the end of 1 year?

4

What is the total interest to be paid on a 3-year \$8000 loan at 13\% p.a. flat interest?

5

Assuming that a year has 365 days and 52 weeks, calculate the simple interest on the following loans:

a

A loan of \$8000 at 8\% p.a. for 6 years.

b

A loan of \$5010 at 5\% p.a. for 666 days.

c

A loan of \$5240 at 4\% p.a. for 73 weeks.

d

A loan of \$3860 at a rate of 9\% p.a. for 13 months.

6

Buzz takes out 6-year \$50\,000 loan at 8\% p.a. flat interest.

a

What is the total interest he will have to pay?

b

What is the total amount he will have to pay?

7

What is the total amount to be paid on a 5-year loan of \$110\,000 at 5\% p.a. flat interest?

8

Bianca takes out a loan of \$800 to pay for an online course. Simple interest is calculated at 9\% per year, charged monthly. If she repays the loan in 9 months, how much interest does she pay in total?

9

Calculate the final value of these investments:

a

\$6170 at 5\% p.a. for 6 years.

b

\$9060 at 4\% p.a. for 44 months.

c

\$4230 at 8\% p.a. for 32 weeks.

d

\$4620 at 6\% p.a. for 146 days.

10

Sally pays for her purchase of a new carpet, valued at \$9000, by paying a \$3000 deposit and borrowing the balance at 5\% p.a. flat interest to be repaid over 3 years.

a

How much does Sally owe after paying the deposit?

b

How much interest will she have to pay?

c

What is the total amount Sally will pay for the carpet?

11

Tara takes out a car loan of \$6000 at a simple interest of 8\% p.a. She plans to repay the loan over 2 years through regular monthly repayments.

a

Calculate the total interest that Tara will incur over the duration of the repayment.

b

Calculate the value of each repayment of the loan. Round your answer to two decimal places if necessary.

12

Dave and Emily are looking to invest \$11\,600 and \$18\,300 respectively for 6 years. The table shows the simple interest rates for different principals:

a

Calculate the interest Dave will earn on his investment.

b

Calculate the interest Emily will earn on her investment.

PrincipalRate p.a.
\text{Between \$4\,800 and \$14\,800}4\%
\text{Between \$14\,800 and \$24\,800}5\%
\text{Greater than \$24\,800}6\%
c

How much will they earn if they combine their principals and invest together?

d

Should they invest separately or together? Explain your answer.

13

\$402 is invested at 4\% p.a. simple interest for 9 years. After this time the principal plus interest is reinvested at 6\% p.a. simple interest for 8 more years.

a

Calculate the value of the investment after 9 years.

b

Calculate the final value of the investment.

c

Calculate the total amount of interest earned.

14

Luke's investment of \$3000 earned simple interest of 4\% p.a. for the first 8 years, and 2\% p.a. for the next 5 years.

Calculate the total amount of interest earned.

Rates, principal and time periods
15

Assuming that a year has 365 days and 52 weeks, calculate the annual interest rate, r, as a percentage correct to one decimal place on the following:

a

A loan of \$7550 over 9 years has a simple interest of \$6523.20.

b

An investment of \$3600 over 2 years has simple interest of \$504.00.

c

An investment of \$4800 over 20 months has a simple interest rate of \$760.00.

d

A loan of \$5800 over 6 quarters has a simple interest of \$321.90.

e

A loan of \$5500 over 24 months has a simple interest of \$385.00.

f

An investment of \$1600 over 3 quarters has a simple interest of \$103.20.

16

\$1957 is invested at a simple interest rate of 6\% p.a. Calculate the number of years needed for interest of \$1174.20 to be earned on the investment.

17

\$2379.00 is invested at a simple interest rate of 2\% p.a. Calculate the number of quarters needed for interest of \$23.79 to be earned on the investment.

18

For his investment into government bonds , Buzz was paid simple interest of 9\% p.a. Calculate the size of Buzz's initial investment \$P, if he earned \$294.12 interest after 2 years.

19

\$63\,790 is invested at a simple interest rate of 8\% p.a. Calculate the number of months needed for interest of \$7654.80 to be earned on the investment. Round your answer to the nearest month.

20

Sally made loan repayments totalling to \$4320 on a loan of \$4000 over 4 years.

a

Calculate the total simple interest charged on the loan.

b

Calculate r, the annual simple interest rate.

21

\$552 is invested at a simple interest rate of 5\% p.a.

a

Calculate the interest that will be earned on the investment in one year.

b

Calculate the number of years it will take the investment to grow to \$828.

22

\$7050 is invested at a simple interest rate of 7\% p.a. Calculate the number of years needed for it to grow to \$7950. Round your answer to two decimal places.

23

If \$2196 is invested at 2\% p.a. simple interest for 8 years, what simple interest rate r, would earn the same amount of interest in only 5 years?

Express r as a percentage, correct to two decimal places.

24

The graph shows the amount of simple interest charged each year by a particular bank, on a 3-year loan:

a

Find the total amount of simple interest charged on a loan of \$5000.

b

Calculate the simple interest rate per annum, r, charged by the bank on 3-year loans.

1000
2000
3000
4000
5000
P
50
100
150
200
250
300
I
25

The given graph shows an amount of \$4000 deposited into a savings account for 10 years earning simple interest:

a

How much interest has been earned in total over the 10 year period?

b

Find the interest rate to two decimal places.

1
2
3
4
5
6
7
8
9
10
T
3250
3500
3750
4000
4250
4500
4750
A
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ACMEM168

review the principles of simple interest

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