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4 years ago

A population of bacteria is growing according to the equation P ( t ) = 1050e^0.16t .

Mathematics

1 answer:

horsena [70]4 years ago

4 0

Answer:

t must be greater than 5.0

Step-by-step explanation:

P ( t ) = 1050e^0.16t

We want P(t) > 2337

2337 < 1050e^0.16t

Divide each side by 1050

2337/1050< 1050/1050 e^0.16t

Take the natural log of each side

ln (2337/1050)) < ln(e^0.16t )

ln (2337/1050) < 0.16t

Divide by .16

ln (2337/1050)/.16 < 0.16/.16t

ln (2337/1050)/.16 < t

5.00049<t

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