# How do you solve net population growth word problems?

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It is projected that t years from now the population of a certain country will be changing at the rate of e^(0.02 t) million per year. If the current population is 50 million, what will be the population 10 years from now?

It is projected that t years from now the population of a certain country will be changing at the rate of e^(0.02 t) million per year. If the current population is 50 million, what will be the population 10 years from now?

##### 1 Answer

Aug 16, 2016

I will solve this question using year by year basis

#### Explanation:

At the end of 1st year: P1=e^0.02*50 million = 51,010.067
At the end of 2nd year P2=e^0.02*51,010,067 = 52,040,539

....

P9=59,860,870

At the end of 10th year P10=e^0.02*P9= 61,070,140.

Or simply P10 = (e^(0.02*10))*P0=61,070,138.

The general formula for exponential growth: P = P0*e^(r*t)