topic badge

8.05 Introduction to compound interest

Interactive practice questions

$\$4000$$4000 is invested at $2%$2% p.a., compounded annually. The table below tracks the growth of the principal over three years.

Time Period $n$n (years) Value at beginning of time period Value at end of time period Interest earned in time period
$1$1 $\$4000$$4000 $\text{B}$B $\text{A}$A
$2$2 $\text{C}$C $\$4161.60$$4161.60 $\text{D}$D
$3$3 $\$4161.60$$4161.60 $\$4244.83$$4244.83 $\text{E}$E
a

What value should go in cell $\text{A}$A?

b

What value should go in cell $\text{B}$B?

c

What value should go in cell $\text{C}$C?

d

What value should go in cell $\text{D}$D?

e

What value should go in cell $\text{E}$E?

f

What is the total interest earned over the three years?

Easy
4min

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

Easy
< 1min

Dave's investment of $\$6000$$6000 earns interest at $2%$2% p.a, compounded annually over $3$3 years.

Answer the following questions by repeated multiplication.

Easy
2min

$\$3900$$3900 is invested for three years at a rate of $10%$10% p.a., compounding annually.

Easy
4min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

MS11-2

represents information in symbolic, graphical and tabular form

MS11-5

models relevant financial situations using appropriate tools

MS11-6

makes predictions about everyday situations based on simple mathematical models

What is Mathspace

About Mathspace