SOLUTION: the number of bacteria in a culture after t minutes is given as B=1000e^(kt). There are 4134 bacteria present after 4 minutes. Find k.

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Question 396702: the number of bacteria in a culture after t minutes is given as B=1000e^(kt). There are 4134 bacteria present after 4 minutes. Find k.
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
the number of bacteria in a culture after t minutes is given as B=1000e^(kt). There are 4134 bacteria present after 4 minutes. Find k.
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Solve for "k":
4134 = 1000e^(4k)
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4.134 = e^(4k)
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4k = ln(4.134)
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k = 1.41935/4
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k = 0.3548
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Cheers,
Stan H.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi

B=1000e^(kt)

Question states

4134/1000 = e^4k

 4.134 = e^4k

ln(4.134) = 1.4192

 1.4192 = 4k

   .3548 = k 

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