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35 votes
35 votes
Spencer deposited $10 in an account earning 5% interest compounded annually.

To the nearest cent, how much will he have in 3 years?

User Mlbright
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1 Answer

10 votes
10 votes

Answer:

I (interest) = $1.58

Explanation:

A = $11.58

A = P + I where

P (principal) = $10.00

I (interest) = $1.58

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

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

A = 10.00(1 + 0.05/1)^(1)(3)

A = 10.00(1 + 0.05)^(3)

A = $11.58

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $10.00 at a rate of 5% per year compounded 1 times per year over 3 years is $11.58

User Samit Kumar Patel
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