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KCET2009MathematicsSequences and Series

A population grows at the rate of 10 % of the population per year. How long does it take for the population to double?

Options

  1. A20 2 yr
  2. B10 2 yr
  3. C5 2 yr
  4. DNone of the Above

Correct answer

D. None of the Above

Step-by-step solution

Given, r=10 % Let population is P . According to the question aligned 2 P &= P (1+ 10 100 )^ n 2 &= (1+ 1 10 )^ n aligned aligned 2 &= n ( 11- 10) n &= 2 1.0414-1 = 2 0.0414 &=24.15 2 aligned Hence, none of the given option is correct.

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