Problema Solution

A population of bacteria is growing according to the equation P(t)=550e0.06t

P(t)=550e0.06t

. Estimate when the population will exceed 837.

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P(t)=550e^(0.06t)

We need to find t such that P(t) > 837

550e^(0.06t) > 837

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t > 6.998

The population will exceed 837 after 7 years.