Suppose P(t)represents the population of a certain mosquito colony, where. t is measured in days. The current population of the colony is known to be 574 mosquitos; that is, P(0)=574. If P'(0)=50 mosquitos per day, estimate the size of the population in 10 days.

The estimated size of the population in 10 days is of 1372 mosquitos.

Step-by-step explanation:

Population after t days:

The population after t days is given by:

In which P(0) is the initial population and r is the growth rate, as a decimal.

P(0)=574.

So

P'(0)=50

Since P'(0)=50

So

Estimate the size of the population in 10 days

This is P(10).

The estimated size of the population in 10 days is of 1372 mosquitos.

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4.5%

step-by-step explanation: