population of 10,000 + 5% evry year for three years is what
To calculate the population after three years, we need to calculate the increase in population each year and add it to the previous year's population.
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 11,576.25.
To calculate the population after three years with a growth rate of 5% per year, we can use the following steps:
Step 1: Calculate the growth rate as a decimal: 5% = 5/100 = 0.05
Step 2: Calculate the population after the first year:
Population after 1 year = Initial population + (Growth rate * Initial population)
= 10,000 + (0.05 * 10,000)
= 10,000 + 500
= 10,500
Step 3: Calculate the population after the second year:
Population after 2 years = Population after 1 year + (Growth rate * Population after 1 year)
= 10,500 + (0.05 * 10,500)
= 10,500 + 525
= 11,025
Step 4: Calculate the population after the third year:
Population after 3 years = Population after 2 years + (Growth rate * Population after 2 years)
= 11,025 + (0.05 * 11,025)
= 11,025 + 551.25
= 11,576.25
Therefore, the population after three years with a growth rate of 5% per year would be approximately 11,576.25.
To calculate the final population after increasing by 5% every year for three years, you would need to use the formula for compound interest:
Final Population = Initial Population × (1 + Growth Rate)^Number of Years
In this case, the initial population is 10,000, the growth rate is 5%, and the number of years is 3. Let's plug these values into the formula:
Final Population = 10,000 × (1 + 0.05)^3
First, let's calculate (1 + 0.05)^3:
(1 + 0.05)^3 = 1.05 × 1.05 × 1.05 = 1.157625
Now, substitute this value back into the formula:
Final Population = 10,000 × 1.157625
Calculating the result:
Final Population ≈ 11,576.25
Therefore, the final population after increasing by 5% every year for three years would be approximately 11,576.25.