We have been given that population of Kings County, New York, has increased 0.53% each year, over several years. The population in 2000 was 2,465,326.
Formula to find population growth: [tex]N=N_0(1+r)^{t}[/tex]
Now we will find expected population of year 2015 by substituting t=15 in our given formula.
[tex]2,465,326(1+0.0053)^{15}[/tex]
[tex]2,465,326(1.0053)^{15}[/tex]
[tex]2,465,326\cdot 1.0825182787557597[/tex]
[tex]2668760.45809\approx 2668760[/tex]
Therefore, expected population in year 2015 will be 2668760.