The population of a town increases according to the model P(t)=2500e^0.0293t, where t is the time in years, with t=0 corresponding to 1990. Use the modek to estimate the population in (a) 2000 and (b) 2010.

alesterp

alesterp

Answered question

2021-02-26

The population of a town increases according to the model P(t)=2500e0.0293t, where t is the time in years, with t=0 corresponding to 1990. Use the modek to estimate the population in (a) 2000 and (b) 2010.

Answer & Explanation

ensojadasH

ensojadasH

Skilled2021-02-27Added 100 answers

(a)2000 corresponds to t=2000−1990=10 so we have:
P(10)=2500e0.0293(10)
Use a calculator:
P(10)3351
(b)2010 corresponds to t=2010−1990=20 so we have:
P(20)=2500e0.0293(20)
Use a calculator:
P(20)4492

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