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5.08 Compound interest

Adaptive
Worksheet

Interactive practice questions

$\$1000$$1000 is invested at $2%$2% per year, 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 $\$1000$$1000 $\text{B}$B $\text{A}$A
$2$2 $\text{C}$C $\$1040.40$$1040.40 $\text{D}$D
$3$3 $\$1040.40$$1040.40 $\$1061.21$$1061.21 $\text{E}$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?

Medium
7min

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

Easy
< 1min

$\$4400$$4400 is invested for three years at a rate of $5%$5% per year, compounding annually.

Easy
5min

$\$3600$$3600 is invested for three years at a rate of $7%$7% per year, compounding annually.

Easy
4min
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Outcomes

MA.912.AR.1.1

Identify and interpret parts of an equation or expression that represent a quantity in terms of a mathematical or real-world context, including viewing one or more of its parts as a single entity.

MA.912.AR.1.2

Rearrange equations or formulas to isolate a quantity of interest.

MA.912.AR.5.4

Write an exponential function to represent a relationship between two quantities from a graph, a written description or a table of values within a mathematical or real-world context.

MA.912.FL.3.2

Solve real-world problems involving simple, compound and continuously compounded interest.

MA.912.FL.3.4

Explain the relationship between simple interest and linear growth. Explain the relationship between compound interest and exponential growth and the relationship between continuously compounded interest and exponential growth.

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