Question

A town has a population of 14000 and grows at 3.5% every year. What will be the population after 14 years, to the nearest whole number?

Answer 1

19880

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Answer 2

Given:

A town has a population of 14000 and grows at 3.5% every year.

To find:

What will be the population after 14 years, to the nearest whole number?

Solution:

We know,

$\boxed{\bold{P_n = P [1 + \frac{r}{100} ]^n}}$

where Pₙ = population after n years, P = current population, r = rate of increase and n = no. of years

Here we have,

P = 14000

r = 3.5%

n = 14 years

Now, by substituting the given values of P, r & n in the formula above, we get

$P_n = 14000 [1 + \frac{3.5}{100} ]^1^4}}$

$\implies P_n = 14000 [1 +0.035 ]^1^4}}$

$\implies P_n = 14000 [1.035 ]^1^4}}$

$\implies P_n = 22661.723$

on rounding off to the nearest whole number

$\implies \bold{P_n = 22662}$

Thus, the population after 14 years after rounding off to the nearest whole number will be → 22662.

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