Question

11. The population of a town increases by 7% every year. What was its population in 2013,
if in 2015 it was 160286?​

Answer 1

Step-by-step explanation:

$\tt \: n = 2015 - 2013 = 2 \: years \\ \tt \: A = P(1 + \frac{R}{100} ) ^{n} \\ \tt \longrightarrow \: 160286 = P(1 + \frac{7}{100} ) ^{2} \\ \tt \longrightarrow \: 160286 = P( \frac{107}{100} )^{2} \\ \tt \longrightarrow \: P = \frac{ \cancel{160286} \times 100 \times 100}{ \cancel{107 } \times \cancel {107}} = \green{140000}$

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