The number of people N(t) in a community who are reached by a particular rumor at time

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The number of people N(t) in a community who are reached by a particular rumor at time t is given by the equation
50,500 N(t) 1+ 100e 0.7t

(a) Find N(0).
(b) What is the upper limit on the number of people affected?
(c) How long before 75% of the upper limit is reached?

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