Multiple choice

The annual birth and death rates in a country per 1000 are 39.4 and 19.4, respectively. What will be the population of the country after 4 years, if initially the number of its residents was 10,00,000? Assume that the number of immigrants is equal to the number of emigrants every year.

  1. 12,24,888

  2. 11,80,486

  3. 10,82,432

  4. 10,20,734
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The net growth rate per 1000 is 39.4 - 19.4 = 20. This is a 2% annual growth rate. Using the compound interest formula P(1 + r/100)^n, the population after 4 years is 1,000,000 * (1.02)^4. Calculating 1.02^4 gives approximately 1.08243216, and multiplying by 1,000,000 yields 1,082,432.

AI explanation

The net annual growth rate is the difference between the birth and death rates, which is 39.4 minus 19.4, or 20 people per 1000. This equals an annual population growth rate of 2 percent. Applying the compound interest formula for 4 years, the final population is 1000000 multiplied by 1.02 to the power of 4, which calculates to 1082432.

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