Multiple choice general knowledge

The population of a country increased by an average of 2% per year from 2000 to 2003. If the population of this country was 2 000 000 on December 31, 2003, then the population of this country on January 1, 2000, to the nearest thousand would have been

  1. 1 848 000

  2. 1 852 000

  3. 1 000 000

  4. 1 500 000

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To solve this problem, the user needs to know the formula for compound interest, which is:

A = P(1 + r/n)^(nt)

where: A = the final amount P = the principal amount r = the annual interest rate (as a decimal) n = the number of times the interest is compounded per year t = the number of years

In this problem, the population is increasing by an average of 2% per year, which means the annual interest rate (r) is 2%. The population is not being compounded, so n = 1. The time period (t) is 3 years. We can use this information to solve for the principal amount (P), which is the population in 2000.

Let P be the population in 2000.

Then we have:

2,000,000 = P(1 + 0.02)^3

Simplifying this equation:

2,000,000 = P(1.02)^3

2,000,000 = P(1.061208)

P = 2,000,000/1.061208

P = 1,883,449.599

Rounding this value to the nearest thousand, we get:

The Answer is: A. 1 848 000.