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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.)

Respuesta :

Answer:

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

Step-by-step explanation:

Given that,

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

The formula for this is

[tex]t=\frac{ln2}{k}[/tex]

t= time in years

k=population growth rate.

Here k=1.5% [tex]=\frac{1.5}{100}[/tex] = 0.015

[tex]t=\frac{ln2}{0.015}[/tex]

  ≈46 years

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

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