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.