## The population of Waterville increased 12% during 4 years. How many years are required for the population to double its initial value?

Question

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## Answers ( )

Answer:24.5 years will be required for the population to double its initial value.

Step-by-step explanation:The population of Waterville can be modeled by the following equation.

In which is the initial population and r is the growth rate.

The population of Waterville increased 12% during 4 years.This means that

With this, we can find r

Applying the fourth root to both sides

So

How many years are required for the population to double its initial value?This is t when

So

How we find t?Logarithims

We have that

So we apply log to both sides

24.5 years will be required for the population to double its initial value.