Answer
After 13.15 years the population of both towns will become equal.
Step-by-step explanation:
Population of the city Anville is given by using the compound interest formula
The formula of compound interest
A = p( 1+r/n)^n*t
using this we get
P1 = 16000 (1 +[tex]\frac{0.04}{1}[/tex]) ^1*t
Population of the city of Brinker will be
P2 = 11000( 1 + [tex]\frac{0.07}{1}[/tex]) ^1*t
now to make equal population in both towns
P1=P2
16000 (1 +[tex]\frac{0.04}{1}[/tex]) ^1*t = 11000( 1 + [tex]\frac{0.07}{1}[/tex]) ^1*t
[tex](\frac{1.04}{1.07} )^t = \frac{11}{16}[/tex]
t = 13.15 years
