The population of a town increases by 8% annually. If the present population is 45,000, what will be its population after 2 years?
Question
The population of a town increases by 8% annually. If the present population is 45,000, what will be its population after 2 years?
A.
52,488
B.
52,200
C.
52,316
D.
52,532
Correct option is A
Given: Present population P = 45,000 Annual increase rate r = 8% Time t = 2 years Formula Used: The formula for population after t years with a percentage increase is: Future Population = P×(1+100r)t Where: P = present population, r = annual percentage increase, t = time in years Solution: Future Population=45,000×(1+1008)2Future Population=45,000×(1+0.08)2textFuturePopulation=45,000×(1.08)2Future Population=45,000×1.1664=52,488The population after 2 years will be 52,488. Alternate Solution: