What function describes the future value at the end of n, Physics

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What function describes the future value at the end of n

Compound interest if $P is invested for n years at 10% compounded continuously, the rate at which the future value is growing is

dS/dn = 0.1Pe^0.1n

(a) What function describes the future value at the end of n years?

(b) In how many years will the future value double?

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