emylfonf emylfonf

31-07-2018
Mathematics

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How long will it take for the money to triple? Compounded continuously.

How long will it take for the money to triple Compounded continuously class=

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sqdancefan sqdancefan

12-08-2018

If e^(rt) is 3, then taking logarithms tells you

... rt = ln(3)

So, the time to triple the amount is

... t = ln(3)/0.0275 ≈ 39.95 . . . . years

_____

The working out that is shown in the picture appears to be correct.

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