SOLUTION: The population of a town increases according to the model: P(T)=2500e^0.0293t, in which t is the time in years with t=0 corresponding to 1990. Use the model to estimate the populat

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Question 729440: The population of a town increases according to the model: P(T)=2500e^0.0293t, in which t is the time in years with t=0 corresponding to 1990. Use the model to estimate the population in
2015
(The 0.0293t is an entire exponent.)
Thanks!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+P%28t%29+=+2500%2Ae%5E%28+.0293t+%29+
2015 - 1990 = 25
+P%2825%29+=+2500%2Ae%5E%28+.0293%2A25+%29+
+P%2825%29+=+2500%2Ae%5E.7325+
+P%2825%29+=+2500%2A2.08027+ ( by my calculator )
+P%2825%29+=+5200.687+