# The annual rate o

Population of a town, P = 4000

Time, n = 2 years

Increasing rate, R = 5% per annum

Now,

Amount (A) = P (1 + R/100)n [Where, A = Amount with compound interest

P = Present value

R = Annual interest rate

n = Time in years]

Population = P (1 + R/100)n

= 4000 (1 + 5/100)2

= 4000 (1 + 1/20)2

= 4000 (21/20)2

= 4000 × 21/20 × 21/20

= 200 × 21 × 21/20

= 10 × 21 × 21

= 4410

Population of a town after 2 years is 4410.

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