4.) If $P is invested for n years at 9% compounded continuously, the future value that results after n years is given by the function

S = Pe^0.09n.

AND

The number of people

N(t) in a community who are reached by a particular rumor at time t (in days) is given by

DETAILS HARMATHAP12 11.2.043. If $P is invested for n years at 9% compounded continuously, the future value that results after n years is given by the function 5 = peo.oen_ (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 9%? Why? ' Yes, since 90-09 > 1. ' No, since e-9