# Finite Math

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Kathy borrowed \$800 at 6% interest. The amount of interest paid was \$144. What was the length of the loan?

• Finite Math -

let the time be n years, assuming that compound interest is used.

800(1.06)^n = 944
1.06^n = 1.18
take log of both sides, and use log rules

n log 1.06 = log 1.18
n = log1.18/log1.06 = appr 2.84 years

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