anonymous
  • anonymous
Two bacteria colonies are cultivated in a lab. The 1st colony has a doubling time of 2 hours & the second has a doubling time of 3 hours. Initially, the 1st colony contains 1,000 bacteria & the second has 3,000 bacteria. At what time t will the sizes of the colonies be equal?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
A(t) and B(t) ok?
anonymous
  • anonymous
A(t) = 1000e^(t*ln2/2) B(t) = 3000e^(t*ln2/3)
anonymous
  • anonymous
set them equal and solve for t

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anonymous
  • anonymous
\[t=\frac{\ln 3}{\frac{\ln 2}{2}-\frac{\ln 2}{3}}\]
anonymous
  • anonymous
t=9.51
anonymous
  • anonymous
helppp
anonymous
  • anonymous
what do you need help with prettychicka?

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