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anonymous
 4 years ago
A population of a small town in North Dakota fits the model P(t)=1500e^0.35(t) with t=0 corresponding to 1998. When will the last person leave this town?
anonymous
 4 years ago
A population of a small town in North Dakota fits the model P(t)=1500e^0.35(t) with t=0 corresponding to 1998. When will the last person leave this town?

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Rogue
 4 years ago
Best ResponseYou've already chosen the best response.1We can't solve for P (t) = 0, so I'm pretty sure the question is asking us to solve for P (t) < 0.5.\[0.5 < 1500e ^{0.35t}\]\[(1/3000) < e ^{.35t}\]\[t = (\ln 3000)/0.35 \approx 22.875 years\] Add that to 1998, and we get that the last person will leave on 2020.
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