SOLUTION: Solve the problem. The formula A=200e^0.033t + 2 models the population (A) of a particular city, in thousands, t years after 1998. When will the population of the city reach 397 th

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Question 929917: Solve the problem. The formula A=200e^0.033t + 2 models the population (A) of a particular city, in thousands, t years after 1998. When will the population of the city reach 397 thousand?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
397000=200e%5E%280.33t%2B2%29
e%5E%280.33t%2B2%29=1985
0.33t%2B2=ln%281985%29
0.33t=ln%281985%29-2
t=%28ln%281985%29-2%29%2F0.33
t=16.94 years
Rounding up,
1998%2B17=2015