Question 975950
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The future value, *[tex \Large A], of an investment valued at *[tex \Large P] initially where the interest rate is *[tex \Large r] expressed as a decimal and compounded continuously for *[tex \Large t] years is given by:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ A\ =\ Pe^{rt}]


If the investment has doubled, then *[tex \Large \frac{A}{P}\ =\ 2].


So, solve


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ e^{rt}\ =\ 2]


for *[tex \Large t]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it

*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \