Multiple choice

The population of a town increases 4% annually but is decreased by emigration annually to the extent of ½%. What will be the percentage increase in three years?

  1. 7.6

  2. 9.8

  3. 10.8

  4. 11.5
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Net annual increase = 4% - 0.5% = 3.5%. Using compound growth formula: (1 + 3.5/100)^3 - 1 = (1.035)^3 - 1 = 1.1087 - 1 = 0.1087, or approximately 10.8%.

AI explanation

The net annual increase in the population is 4 percent minus 0.5 percent, resulting in a net growth rate of 3.5 percent per year. Over three years, the total growth percentage is calculated as 3 plus 3 plus 3.5 multiplied by 3 multiplied by 3.5 divided by 100, which equals 10.89 percent. Since 10.89 is closest to 10.8 among the given choices, the result is 10.8.

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