Question

How long will it take for the population of a certain country to double if its annual growth rate is 7.5%? Round to the nearest year

Answer 1

9 years

Explanation:

To find out how long it will take for the population to double, we can use the following formula:

t = (ln 2) / r

where t is the time it will take to double, ln is the natural logarithm, and r is the annual growth rate.

Substituting r = 7.5% = 0.075, we get:

t = (ln 2) / 0.075

Using a calculator, we get:

t ≈ 9.24 years

So it will take about 9 years (rounded to the nearest year) for the population to double if its annual growth rate is 7.5%.