SOLUTION: The growth model A = 109.3 e^{0.023 t} models South Carolina's population, A, in millions, t years after 2001. What is South Carolina's growth rate? How long will it take S

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The growth model A = 109.3 e^{0.023 t} models South Carolina's population, A, in millions, t years after 2001. What is South Carolina's growth rate? How long will it take S      Log On


   



Question 442557: The growth model A = 109.3 e^{0.023 t} models South Carolina's population, A, in millions, t years after 2001.
What is South Carolina's growth rate?

How long will it take South Carolina to double its population?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The growth model A = 109.3 e^{0.023 t} models South Carolina's population, A, in millions, t years after 2001.
What is South Carolina's growth rate?
e^(0.023) = 1.02327
growth rate = 0.023267 or 2.3267%
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How long will it take South Carolina to double its population?
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Solve: e^(0.023t) = 2
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Take 0.023t = 0.6931
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t = 30.14 years
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Cheers,
Stan H.