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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 he population to incfrease to 2000

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Answer:

The time taken is 4.79 minutes.

Step-by-step explanation:

[tex]P = Po(1.4)^{t}[/tex]

initial Population, Po = 400

Final population, P = 2000

Let the time is t.

[tex]2000 = 400(1.4)^{t} \\5 = (1.4)^t\\log 5 = t log 1.4\\0.6989 = 0.146 t \\t = 4.79 minutes[/tex]

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