A town has a population of 12000 and grows at 4% every year. The population after 21 years will be 26900.
How to solve exponential growth?
To solve this problem, let's use the exponential growth formula which is:
[tex]A = (P + r)^t[/tex]
A = total amount
P = original amount
r = growth rate (decimal)
t = years
A town has a population of 12000 and grows at 4% every year.
[tex]A = (P + r)^t\\\\26900 = ( 12000 + 0.04)^t\\\\26900 = (12000.04)^t\\\\[/tex]
by taking log both side
we get t = 21
Thus, The population after 21 years will be 26900.
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