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August 27, 2014

August 27, 2014

Posted by **Billy** on Monday, October 22, 2012 at 12:40pm.

- Calculus -
**Steve**, Monday, October 22, 2012 at 2:25pm10000 = ae^0 --> a=10000

300000 = 10000 e^3k

30 = e^3k

3k = ln30

k = 1/3 ln30

P(t) = 10000 * e^(t/3 ln30)

P(4) = 10000 * e^(4/3 ln30) = 932170

Note that since e^ln30 = 30,

P(t) = 10000 * 30^(t/3)

but to evaluate that, you need to fall back to logs anyway.

What it means is that the population grows by a factor of 30 every 3 years. But then, we knew that from the initial conditions given: P(3) = 30*P()

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