The population of a town increases at a rate of 5% every year. The population of this town was 10,400 in 2017. What will the population of the town be in 2020?

Respuesta :

Answer:

The population of the town in 2020  will approx. be 12,039.

Step-by-step explanation:

The initial population in the year 2017 = 10,400

Increase in population every yea r  =  5%

Now, 5% of 10, 400 = [tex]\frac{5}{100} \times 10, 400 = 520[/tex]

Hence, the population in the year 2018 = 10,400 + 520 = 10,920

Now, in the year 2019

5% of 10, 920 = [tex]\frac{5}{100} \times 10, 920 = 546[/tex]

Hence, the population in the year 2019 = 10,920 + 546 = 11,466

Now, in the year 2020

5% of 11,466 = [tex]\frac{5}{100} \times 11,466 = 573.3[/tex]

or, the population in the year 2020 = 11,466  + 573.3 = 12,039.3

The population of the town in 2020  will approx. be 12,039.