The current student population of Seattle is 2000. Of the population increased at a rate of 9.3% each year. What will the student population be in 3 years
To find the student population in 3 years, we need to calculate 9.3% of the current population and add it to the current population each year.
First, we calculate the increase in population for each year:
Year 1: 9.3% of 2000 = 0.093 * 2000 = 186
Year 2: 9.3% of (2000 + 186) = 0.093 * 2186 = 203.238
Year 3: 9.3% of (2186 + 203.238) = 0.093 * 2389.238 = 222.285
Finally, we add the increases to the current population to find the population in 3 years:
2000 + 186 + 203.238 + 222.285 = 2611.523
Therefore, the student population in Seattle will be approximately 2612 in 3 years.
To calculate the student population in 3 years with an annual growth rate of 9.3%, follow these steps:
Step 1: Determine the growth rate in decimal form.
First, convert 9.3% to a decimal by dividing by 100: 9.3 / 100 = 0.093.
Step 2: Calculate the population growth after 1 year.
To find the population growth after 1 year, multiply the current population (2000) by the growth rate (0.093): 2000 * 0.093 = 186.
Step 3: Calculate the population after 1 year.
To find the population after 1 year, add the growth to the current population: 2000 + 186 = 2186.
Step 4: Calculate the population growth after 2 years.
To find the population growth after 2 years, multiply the population after 1 year (2186) by the growth rate (0.093): 2186 * 0.093 = 203.
Step 5: Calculate the population after 2 years.
To find the population after 2 years, add the growth to the population after 1 year: 2186 + 203 = 2389.
Step 6: Calculate the population growth after 3 years.
To find the population growth after 3 years, multiply the population after 2 years (2389) by the growth rate (0.093): 2389 * 0.093 = 222.
Step 7: Calculate the population after 3 years.
To find the population after 3 years, add the growth to the population after 2 years: 2389 + 222 = 2611.
Therefore, the student population in Seattle will be 2611 in 3 years if the current population is 2000 and the population increases at a rate of 9.3% each year.