The population of a city is 320000. If the annual birth rate is 9.2% and the annual death rate is 1.7%, calculate the population of the town after 3 years.
Solution:
It is given that
Birth rate = 9.2%
Death rate = 1.7%
So the net growth rate = 9.2 – 1.7 = 7.5%
Present population (P) = 320000
Period (n) = 3 years
We know that
Population after 3 years (A) = P (1 + r/100)n
Substituting the values
= 320000 (1 + 7.5/100)3
By further calculation
= 320000 (1 + 3/40)3
= 320000 × (43/40)3
So we get
= 320000 × 43/40 × 43/40 × 43/40
= 397535
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