Multiple choice

The population of a city increases 5 % annually but decreases by ¼ % due toemigration. Find the net increase in percent in 3 years.

  1. 8.63 %

  2. 11.89 %

  3. 13.25 %

  4. 14.93 %

  5. 14%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Annual increase = 5% - 0.25% = 4.75%. Over 3 years, the net increase is (1 + 0.0475)^3 - 1 = (1.0475)^3 - 1 = 1.1493 - 1 = 14.93%.

AI explanation

The annual net growth rate is 5% - 0.25% = 4.75%, making the multiplier 1.0475. For 3 years, the population factor is (1.0475)^3 = 1.1493. Subtracting 1 gives a net increase of 0.1493, which is a 14.93% increase. The result is 14.93%.

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