# Word problem

The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1600 after 1 day, what is the size of the colony after 4 days? How long is there until there are 20,000 mosquitoes?

What is the size of the colony after 4 days?

Approximately ___mosquitoes.

(Do not round until the final answer. Then round to the nearest whole number as needed)

How long is it until 20,000 mosquitoes are in the colony?

About___days.

(Do not round until the final answer. Then round to the nearest whole number as needed)

https://brainmass.com/math/algebra/word-problem-315866

#### Solution Preview

N(t) = N(0) * e^(kt)

(a) By data N(0) = 1000 and N(1) = 1600

1600 = ...

#### Solution Summary

A Complete, Neat and Step-by-step Solution is provided.

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