SOLUTION: The formula A = 182e^0.025t models the population of a particular city, in thousands, t years after 1998. When will the population of the city reach 211 thousand? 2004 2007

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The formula A = 182e^0.025t models the population of a particular city, in thousands, t years after 1998. When will the population of the city reach 211 thousand? 2004 2007       Log On


   



Question 155835: The formula A = 182e^0.025t models the population of a particular city, in thousands, t years after 1998. When will the population of the city reach 211 thousand?
2004
2007
2005
2006

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The formula A = 182e^0.025t models the population of a particular city, in thousands, t years after 1998. When will the population of the city reach 211 thousand?
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211 = 182e^(0.025t)
1.15934.. = e^(0.0256t)
Take the natural log of both sides to get:
0.0256t = 0.0147851..
t = 5.7754..
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1998 + 5.7754 = 2003.77..
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Ans: 211 thousand in 2004
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Cheers,
Stan H.
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