Answer:
population will be 79806.
Step-by-step explanation:
Population of a town 4 years ago was 50,000
Population of town had grown exponentially and present population is 63,124.
So the formula of the population growth will be
[tex]A_{n}=A_{o}(r)^{n-1}[/tex]
Where [tex]A_{n}[/tex] = Final population n = number of years.
[tex]A_{o}[/tex] = Initial population
r = rate of increase in population per year.
so 63124 = 50,000 [tex](r)^{4-1}[/tex]
[tex]r^{3}=\frac{63124}{50000}= 1.26428 [/tex]
[tex]r=(1.26428)^{\frac{1}{3} }[/tex]
= 1.0813
Now we have to find the population after 4 years from now.
[tex]A_{n}[/tex] = [tex]63124(1.08)^{4-1}[/tex]
= [tex]63124(1.08)^{3}[/tex]
= 63124 × 1.264
= 79806
Therefore, after 4 years from now population will be 79806.