Question

The exponential model Upper A equals 925.2 e Superscript 0.027 t describes the​ population, A, of a country in​ millions, t years after 2003. Use the model to determine when the population of the country will be 1504 million.

Answer 1

In 2021 , the population of the country will be 1504 million

Explanation:

We are given that

`A=925.2e^(0.027t)`

Where A(in millions)

Time,t=After 2003

We have to find the population of the country will be 1504 million.

Substitute the values

`1504=925.2e^(0.027t)`

`e^(0.027t)=(1504)/(925.2)`

`e^(0.027t)=1.626`

`0.027t=ln(1.626)`

`0.027t=0.486`

`t=(0.486)/(0.027)`

`t=18`

After 18 years means=2003+18=2021

In 2021 , the population of country will be 1504 million.