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If $ P is invested for n years at 5% compounded continuously, the rate at which the future value is growing is dS dn =

If $P is invested for n years at 5% compounded continuously, the rate at which the future value is growing is

= 0.05Pe^0.05n.

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

(b) In how many years will the future value double? (Round your answer to one decimal place.) yr

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