Question

The population of a country increased by 3%, 2.6%, and 1.8% in three successive years. what was the total percentage increase in the country's population over the three year period?

please tell me how u did it

Answer 1

The total percentage increase in the country's population over the three year period is 7.6%.

Explanation:

Let x be the original population of a country.

It is provided that the population increased by 3%, 2.6%, and 1.8% in three successive years.

Compute the population of the country after three years as follows:

`\text{New Population}=\text{Origibal Population}* I_(1)\%* I_(2)\%* I_(3)\%`

`=x* [1+(3)/(100)]* [1+(2.6)/(100)]* [1+(1.8)/(100)]\\\\=x* 1.03* 1.026* 1.018\\\\=1.07580204\cdot x\\\\\approx 1.076\cdot x`

The new population after three years is 1.076 x.

Compute the total percentage increase in the country's population over the three year period as follows:

`\text{Total Increase}\%=\frac{\text{New Population}\ -\ \text{Original Population}}{\text{Original Population}}* 100`

`=(1.076x-x)/(x)* 100\\\\=0.076* 100\\\\=7.6\%`

Thus, the total percentage increase in the country's population over the three year period is 7.6%.