A town is experiencing a growth pattern of 3% per year in its population P; that is

dP / dt = 0.03P

where P is the population of the town and t is the time, in
years, from 2005.
(a) Given that the town’s population in 2005 was 14,000,
find the solution of the equation assuming 0 P =14,000
and k = 0.03 .
(b) What will the population be in 2015?
(c) What is the doubling time of the population?


(a)

(b) 18,898

(c) 23.1 yr

Mathematics

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