The size P of a certain insect population at time t​ (in days) obeys the function P(t)=100e0.05t. ​(a) Determine the number of insects at t=0 days. ​(b) What is the growth rate of the insect​ population? ​(c) What is the population after 10​ days? ​(d) When will the insect population reach 120? ​(e) When will the insect population​ double?

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