SOLUTION: The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 9.3% per hour. How many hours does

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Question 1061954: The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of
9.3%
per hour. How many hours does it take for the size of the sample to double?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let p be the population size, then
:
2p = p * e^(0.093 * t)
:
2 = e^(0.093 * t)
:
0.093 * t = ln(2)
:
Note use definition of logarithm
:
t = ln(2) / 0.093 = 7.4532
:
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Population doubles in approximately 7.45 hours
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