a town has a population of 13000 and grows at 5% every year. What will be the population after 11 years, to the nearest whole number?
This question is based on the concept of amount of interest. Therefore, 22,234 would be the population after 11 years, to the nearest whole number.
Given:
A town has a population of 13000 and grows at 5% every year.
We need to determined the population after 11 years, to the nearest whole number.
We know that,
Formula = \(A = P ({1+r})^{t}\)
Where, p be the population. r is the rate and t is the time.
P = 13000,
r = 5%
t = 11
Now put all these values in formula.
We get,
\(A = 13000({1+\dfrac{5}{100} })^{11}\\\\A = 13000({1+0.05}^{)11}\\\\A = 1300022,234.41({0.95})^{11}\\\\A =22,234.41\)
Therefore, 22,234 would be the population after 11 years, to the nearest whole number.
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