A town is experiencing a growth pattern of 6% per year in its population P; that is dP/dt = 0.06P, where P is the population of the town and t is the time, in years, from 2000.

(a) Given that the town’s population in 2000 was 8500, find the solution of the equation assuming P0 = 8500
and k = 0.06.
(b) What will the population be in 2015?
(c) What is the doubling time of the population?


(a)

(b) 20,907

(c) 11.6 yr

Mathematics

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