Question

Alan deposited $300 in an account that pays 6% interest compounded continuously. Approximately how long will it take for Alan’s money to triple?

(Use formula A=Pe^rt where A is the accumulation amount, P is the initial amount, r is the annual rate of interest, and t is the elapsed time in years.)

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Answer 1

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Answer:

18.3 years

Explanation:

You want ...

A/P = 3 = e^(rt) . . . for r = 0.06

Taking the natural log, this gives ...

ln(3) = 0.06t

t = ln(3)/0.06 ≈ 18.31

It will take about 18.3 years for the value to triple.