Question

The population of a certain country is growing at a rate of 1.51.5​% per year. How long will it take for this​ country's population to​ double? Use the formula t equals StartFraction ln 2 Over k EndFraction commat= ln2 k, which gives the​ time, t, for a population with growth rate​ k, to double.​ (Round to the nearest whole​ year.)

Answer 1

After 46 years, the population of this country will be doubled.

Explanation:

Given that,

The population of a certain country is growing rate 1.5%.

The formula for this is

`t=(ln2)/(k)`

t= time in years

k=population growth rate.

Here k=1.5%
`=(1.5)/(100)` = 0.015

`t=(ln2)/(0.015)`

≈46 years

After 46 years, the population of this country will be doubled.