anonymous
  • anonymous
A population grows exponentially according to the differential equation dP, dt equals k times P, where P is the population, t is time, and k is a positive constant. If P(0) = A, what is the time for the population to triple its initial value?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
https://i.gyazo.com/fd663d2f559c2705695dbfe4c3859b90.png
anonymous
  • anonymous
set \[e^{kt}=3\] solve for \(t\)
anonymous
  • anonymous
hope it is clear that the A is not important when it triples, it will be 3A and the first step in solving \[3A=Ae^{kt}\] is to divide both sides by \(A\)

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anonymous
  • anonymous
\[\ln3/k\]
anonymous
  • anonymous
yes
anonymous
  • anonymous
So it's B?
anonymous
  • anonymous
Yessir, I just tried my hand at it and that is indeed what I got

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