Answer:
The population would be 781.
The population is growing with the rate of 12.50 persons/yr.
Step-by-step explanation:
Since, the formula for calculating the population, increasing with a rate per period,
[tex]A=P(1+r)^{n}[/tex]
Where, P is the initial population,
r is the rate per period,
n is the number of period,
t is the total years,
Here, P = 500, r = 25 % = 0.25, n = 2 ( the number of '10 year period' of in 20 years is 2 )
Hence, the population in 20 years would be,
[tex]A=500(1+0.25)^2=500(1.25)^2=781.25\approx 781[/tex]
Now, the rate of increasing per 10 year is 25 %,
⇒ The rate of increasing per year is 2.5 %,
Thus, the growing people per year = 2.5 % of 500 = 0.025 × 500 = 12.50
Hence, the population is growing at 12.50 person per year.
