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Perry has $6,552 in an account. The interest rate is 14.3% compounded annually. To the nearest cent, how much interest will he earn in 4 years?

User Ppichier
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Answer:

To calculate the amount of interest Perry will earn in 4 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount (including principal and interest)

P is the principal amount (initial investment)

r is the annual interest rate (expressed as a decimal)

n is the number of times that interest is compounded per year

t is the number of years

In this case, Perry has $6,552 as the principal amount, an interest rate of 14.3% (0.143 as a decimal), and the interest is compounded annually (n = 1). We need to calculate A - P to find out how much interest he will earn.

A = $6,552(1 + 0.143/1)^(1*4)

A = $6,552(1 + 0.143)^4

A = $6,552(1.143)^4

A ≈ $9,965.34

To find out how much interest Perry will earn, we subtract the principal amount from the final amount:

Interest = A - P

Interest = $9,965.34 - $6,552

Interest ≈ $3,413.34

Therefore, Perry will earn approximately $3,413.34 in interest over 4 years.

Explanation: