Final answer:
The population of a village currently standing at 4375 and growing at an 8% annual rate will reach approximately 5103 after two years. To find the population two years prior, you divide the current population by the growth factor squared, yielding approximately 3750.
Step-by-step explanation:
The present population of a village is 4375, and it increases at a rate of 8% per annum. To calculate the population after two years, we use the formula for exponential growth:
Future Population = Present Population × (1 + Growth Rate)^Number of Years
Therefore, after 2 years, the population would be:
4375 × (1 + 0.08)^2
4375 × 1.08^2
4375 × 1.1664
≈ 5103
The population would be approximately 5103.
To find out what the population was two years ago, we reverse the calculation:
Past Population = Present Population ÷ (1 + Growth Rate)^Number of Years
4375 ÷ 1.08^2
4375 ÷ 1.1664
≈ 3750
The population two years ago was approximately 3750.