Question: If $P is invested for n years at 10% compounded continuously, the future value that results after n years is given by the function S

If $P is invested for n years at 10% compounded continuously, the future value that results after n years is given by the function S = Pe0.1n

(a) At what rate is the future value growing at any time (for any nonnegative n)?

(b) At what rate is the future value growing after 1 year (n = 1)?

(c) Is the rate of growth of the future value after 1 year greater than 10%? Why?

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