population of 10,000 +5% every year for three years
To calculate the population after three years, we need to add 5% of the current population each year.
Year 1: Population = 10,000 + (10,000 * 0.05) = 10,000 + 500 = 10,500
Year 2: Population = 10,500 + (10,500 * 0.05) = 10,500 + 525 = 11,025
Year 3: Population = 11,025 + (11,025 * 0.05) = 11,025 + 551.25 = 11,576.25
Therefore, the population after three years would be approximately 11,576.
To calculate the population after three years with an initial population of 10,000 and an annual growth rate of 5%, follow these steps:
Step 1: Calculate the growth rate for each year.
Year 1: 5% of 10,000 = (5/100) * 10,000 = 500
Year 2: 5% of (10,000 + 500) = (5/100) * 10,500 = 525
Year 3: 5% of (10,500 + 525) = (5/100) * 11,025 = 551.25
Step 2: Calculate the population after each year.
Year 1: 10,000 + 500 = 10,500
Year 2: 10,500 + 525 = 11,025
Year 3: 11,025 + 551.25 = 11,576.25
Therefore, the population after three years will be approximately 11,576.25.
To find the population after three years with a growth rate of 5% per year starting from an initial population of 10,000, we can use the following steps:
1. Calculate the growth rate: To find the growth rate of 5%, we can multiply the initial population (10,000) by the growth rate (5% converted to a decimal, which is 0.05).
Growth rate = 10,000 * 0.05 = 500
2. Calculate the population after the first year: Add the growth rate to the initial population.
Population after the first year = 10,000 + 500 = 10,500
3. Calculate the population after the second year: Again, add the growth rate to the population after the first year.
Population after the second year = 10,500 + 500 = 11,000
4. Calculate the population after the third year: Once again, add the growth rate to the population after the second year.
Population after the third year = 11,000 + 500 = 11,500
Therefore, the population after three years, starting with an initial population of 10,000 and increasing by 5% each year, would be 11,500.