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

Question

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

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3 weeks 2022-01-03T01:36:09+00:00 1 Answer 0 views 0

## Answers ( )

1. 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.