Question 767559
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For discrete compounding:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ A\ =\ P\left(1\ +\ \frac{r}{n}\right)^{rt}]


Where *[tex \LARGE A] is the future value, *[tex \LARGE P] is the present value, *[tex \LARGE r] is the interest rate expressed as a decimal, *[tex \LARGE n] is the number of compounding periods per year, and *[tex \LARGE t] is the number of years.


For continuous compounding:


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


Where *[tex \LARGE A], *[tex \LARGE P], *[tex \LARGE r], and *[tex \LARGE t] are as above and *[tex \LARGE e] is transcendental irrational number that is the base of the natural logarithms.


Just plug in your numbers in each case and solve for *[tex \LARGE t]


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