Answer: the population will be 22234 after 11 years.
Explanation:
The growth rate is exponential. We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 13000
r = 5% = 5/100 = 0.05
t = 11 years
Therefore,
A = 13000(1 + 0.05)^11
A = 13000(1.05)^11
A = 22234 to the nearest whole number.