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The size P of a certain insect population at time t​ (in days) obeys the function...

The size P of a certain insect population at time t​ (in days) obeys the function P(t)=100e^0.07t

(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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