Tacoma’s population in 2000 was about 200 thousand, and has been growing about 9% each year. If this continues, what will Tacoma’s population be in 2012
To find Tacoma's population in 2012, we need to calculate the growth in population from 2000 to 2012.
First, let's find the population growth rate each year:
9% growth per year.
Next, let's calculate the population in each year from 2001 to 2012:
Year 2000: 200,000
Year 2001: 200,000 + 9% = 200,000 + (0.09 x 200,000) = 200,000 + 18,000 = 218,000
Year 2002: 218,000 + 9% = 218,000 + (0.09 x 218,000) = 218,000 + 19,620 = 237,620
Year 2003: 237,620 + 9% = 237,620 + (0.09 x 237,620) = 237,620 + 21,386.8 = 259,006.8
Year 2004: 259,006.8 + 9% = 259,006.8 + (0.09 x 259,006.8) = 259,006.8 + 23,310.6 = 282,317.4
Year 2005: 282,317.4 + 9% = 282,317.4 + (0.09 x 282,317.4) = 282,317.4 + 25,506.56 = 307,823.96
Year 2006: 307,823.96 + 9% = 307,823.96 + (0.09 x 307,823.96) = 307,823.96 + 27,805.16 = 335,629.12
Year 2007: 335,629.12 + 9% = 335,629.12 + (0.09 x 335,629.12) = 335,629.12 + 30,291.61 = 365,920.73
Year 2008: 365,920.73 + 9% = 365,920.73 + (0.09 x 365,920.73) = 365,920.73 + 32,939.87 = 398,860.60
Year 2009: 398,860.60 + 9% = 398,860.60 + (0.09 x 398,860.60) = 398,860.60 + 35,898.45 = 434,759.05
Year 2010: 434,759.05 + 9% = 434,759.05 + (0.09 x 434,759.05) = 434,759.05 + 39,126.31 = 473,885.36
Year 2011: 473,885.36 + 9% = 473,885.36 + (0.09 x 473,885.36) = 473,885.36 + 42,851.68 = 516,737.04
Year 2012: 516,737.04 + 9% = 516,737.04 + (0.09 x 516,737.04) = 516,737.04 + 46,506.33 = 563,243.37
Therefore, Tacoma's population in 2012 is estimated to be approximately 563,243.
To find Tacoma's population in 2012, we need to calculate its growth each year from 2000 to 2012.
Given that the population in 2000 was about 200 thousand and has been growing about 9% each year, we can calculate the population for each year using the formula:
Population = Initial Population * (1 + Growth Rate)
Let's calculate Tacoma's population for each year from 2001 to 2012:
Year 2001:
Population = 200,000 * (1 + 0.09) = 200,000 * 1.09 = 218,000
Year 2002:
Population = 218,000 * (1 + 0.09) = 218,000 * 1.09 = 237,620
Year 2003:
Population = 237,620 * (1 + 0.09) = 237,620 * 1.09 = 259,179.8 (rounded to 259,180)
Year 2004:
Population = 259,180 * (1 + 0.09) = 259,180 * 1.09 = 282,447.2 (rounded to 282,447)
Year 2005:
Population = 282,447 * (1 + 0.09) = 282,447 * 1.09 = 307,872.83 (rounded to 307,873)
Year 2006:
Population = 307,873 * (1 + 0.09) = 307,873 * 1.09 = 335,424.57 (rounded to 335,425)
Year 2007:
Population = 335,425 * (1 + 0.09) = 335,425 * 1.09 = 365,351.25 (rounded to 365,351)
Year 2008:
Population = 365,351 * (1 + 0.09) = 365,351 * 1.09 = 397,967.59 (rounded to 397,968)
Year 2009:
Population = 397,968 * (1 + 0.09) = 397,968 * 1.09 = 433,360.12 (rounded to 433,360)
Year 2010:
Population = 433,360 * (1 + 0.09) = 433,360 * 1.09 = 471,601.4 (rounded to 471,601)
Year 2011:
Population = 471,601 * (1 + 0.09) = 471,601 * 1.09 = 512,079.09 (rounded to 512,079)
Year 2012:
Population = 512,079 * (1 + 0.09) = 512,079 * 1.09 = 557,196.11 (rounded to 557,196)
Therefore, Tacoma's population in 2012 would be approximately 557,196.