The population P of bacteria in a culture after t minutes is given by the equation p=p0 (1.14)^t where P0 is the initail population. If the number of the bacteria starts at 400, how long will it take for

asked Oct 15, 2022 69.2k views

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Answer:

The time taken is 4.79 minutes.

Explanation:

P = Po(1.4)^(t)

initial Population, Po = 400

Final population, P = 2000

Let the time is t.

$2000 = 400(1.4)^(t) \\5 = (1.4)^t\\log 5 = t log 1.4\\0.6989 = 0.146 t \\t = 4.79 minutes$

Narendra Maru answered Oct 19, 2022

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