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

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.

b) well because you get well