Future Population=FP
Present Population=PP
FP = PP x [1 + (-0.045)]^t - Town's population t years after 2010
7,000 = 8,500 x [1 - 0.045]^t
7,000 = 8,500 x 0.955^t Divide both sides by 8,500
0.8235294 = 0.955^t Take the log of both sides
t =Log(0.8235294) / Log(0.955)
t =4.22 =~4 years after 2010.
+129852 a) P = 8500 ( 1 - .045)^t
Where P is the population "t" years after 2010
b) 7000 = 8500 ( 1 - .045)^t
Divide both sides by 8500
7000/8500 = ( 1 - .045)^t
Take the log of both sides
log (700/8500) = log ( 1 -.045)^t
And by a log property we can write
log ( 7000/8500) = t * log (1 - .045)
Divide both sides by log ( 1 - .045)
t = log ( 7000/8500) / log (1 - .045) ≈ 4.2 years
So....the population will be 7000 in about 2014
