If the population of a town is $10{,}000$ and grows at $5\%$ per annum compounded annually, the population…

If the population of a town is $10{,}000$ and grows at $5\%$ per annum compounded annually, the population after $2$ years is
  1. $10{,}500$
  2. $11{,}000$
  3. $11{,}025$
  4. $11{,}500$

Solution

$A = 10000 \times (1.05)^{2} = 10000 \times 1.1025 = 11025$.

Asked in: IMO

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