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Camille Noah is investing $5,000 in an account that pays an annually compounded rate of 6.75 percent for three years. What is the interest on interest if interest is compounded

User Sheka
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1 Answer

3 votes

Answer:

$69.88

Step-by-step explanation:

Calculation to determine the interest on interest if interest is compounded

First step is to calculate Simple interest per year

Deposit today represent PV = $5,000

Interest rate represent i = 6.75%

No. of years represent n = 3

Simple interest per year = $5,000 × (0.0675)

Simple interest per year= $337.50

Second step is to calculate the Simple interest for 3 years

Simple interest for 3 years = $337.50 × 3

Simple interest for 3 years= $1,012.50

Fourth step is to calculate the Future value with compound interest (FV3)

FV3 = $5,000 (1 + 0.0675)^3

FV3=$5,000+(1.0675)^3

FV3= $6,082.38

Now let determine the Interest on interest

Interest on interest = $6,082.38 - $5,000 - $1,012.50

Interest on interest = $69.88

Therefore the interest on interest if interest is compounded is $69.88

User Jdd
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