SOLUTION: For a certain strain of bacteria, the number of bacteria present after t hours is given by the equation: Q = Q(0)e^0.42t where Q(0) represents the initial number of bacteria. How
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-> SOLUTION: For a certain strain of bacteria, the number of bacteria present after t hours is given by the equation: Q = Q(0)e^0.42t where Q(0) represents the initial number of bacteria. How
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Question 83738: For a certain strain of bacteria, the number of bacteria present after t hours is given by the equation: Q = Q(0)e^0.42t where Q(0) represents the initial number of bacteria. How long will it take 700 bacteria to increase to 7,000 bacteria? Express to the nearest tenth. Answer by lekelly(20) (Show Source):
You can put this solution on YOUR website! A=Pe^(rt)
7000=700e^.42t
Solve for t:
7000/700=700/700e^.42t=
10=e^.42t
take the log of each side:
ln(10)=ln(e^.42t) knowing the rules ln(e^rt)=rt therefore:
ln(10)=.42t
ln(10)/.42=t
ln(10)=2.3025/.42=
5.48=t YOUR ANSWER
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