A town has a population of 10000 and grows at 5% every year. What will be the population after 5 years, to the nearest whole number?
Answer
Attempt 1 out of 2
To find the population after 5 years, we need to calculate the population growth for each year.
Year 1: 10000 + (5% of 10000) = 10000 + (0.05 * 10000) = 10000 + 500 = 10500
Year 2: 10500 + (5% of 10500) = 10500 + (0.05 * 10500) = 10500 + 525 = 11025
Year 3: 11025 + (5% of 11025) = 11025 + (0.05 * 11025) = 11025 + 551.25 = 11576.25
Year 4: 11576.25 + (5% of 11576.25) = 11576.25 + (0.05 * 11576.25) = 11576.25 + 578.8125 = 12155.0625
Year 5: 12155.0625 + (5% of 12155.0625) = 12155.0625 + (0.05 * 12155.0625) = 12155.0625 + 607.753125 = 12762.815625
To the nearest whole number, the population after 5 years will be 12763. Answer: \boxed{12763}.