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Question

To make CDs look more attractive than they really are, some banks advertise that their rates are higher than their competitors’ rates; however, the fine print says that the rate is a simple interest rate. If a person deposits $10,000 at 10% per year simple interest, what compound interest rate would yield the same amount of money in 3 years?

Solution

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Answered 2 years ago
Answered 2 years ago
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First we need to calculate future amount using simple interest after 3 years at a interest rate of 10%.

text{\text{\P}} = $10,000

textı{\text{\i}} = 10%

n = 3

F = P + Pni

F = $10,000 + $10,000(3)(0.1)

F = 13,000

Now, we use compound interest formula as follows, while givens are:

Total due after n years = $13,000

text{\text{\P}} = $10,000

n = 3

textı{\text{\i}} = ?

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