Tacoma population in 2000 was about 200 thousand and has been growing by about 9 each years. What will Tacoma population be in 2013

Answer 1

in the year 2000 the population was 200 thousand

each year it grows by 9 thousand

in 2013 what is the population?

A = Pe^rt where t = years since 2000, t=13 in 2013

P = beginning population = 200 (measured in thousands)

A = ending population after t years = 13 years

A=200e^9r

209 = 200e^9r

209/200 = e^9r

ln(209/200) = 9r

r = ln1.045/9 = about .00489077= about .49.% annual growth rate

A=200e^13(.00489077)

= 213.1289352

= almost 213,129 people in 2013