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5.07 Compound interest

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?

Easy
7min

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

Easy
< 1min

Luke's investment of $\$5000$$5000 earns interest at $3%$3% per year, compounded annually over $4$4 years.

Answer the following questions by repeated multiplication.

Easy
3min

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

Easy
5min
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Outcomes

NC.M1.A-CED.2

Create and graph equations in two variables to represent linear, exponential, and quadratic relationships between quantities.

NC.M1.F-IF.8

Use equivalent expressions to reveal and explain different properties of a function.

NC.M1.F-IF.8b

Interpret and explain growth and decay rates for an exponential function.

NC.M1.F.BF.1

Write a function that describes a relationship between two quantities.

NC.M1.F.BF.1a

Build linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two ordered pairs (include reading these from a table).

NC.M1.F-LE.1

Identify situations that can be modeled with linear and exponential functions, and justify the most appropriate model for a situation based on the rate of change over equal intervals.

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