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17. Sam deposited $4,625 into a bank account that earns

3 3/4% compound interest, compounded annually. Calculate
Sam's interest and total after 2 years. A = P(1 + r)

1 Answer

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Answer:

  • interest: $353.38
  • total: $4978.38

Explanation:

The equation for calculating the balance in an account earning compound interest is ...

A = P(1 +r)^t

where r is the annual rate and t is the number of years.

For Sam's account, the balance after 2 years is ...

A = $4625(1 +0.0375)^2 = $4978.38

The interest is the amount in excess of the deposited amount:

$4978.38 -4525.00 = $353.38

Sam's interest was $353.38, giving him a total of $4978.38.

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