Question #299680

A town has a population of 2000 and grows at 4% every year. What will be the population after 15 years, to the nearest whole number?



1
Expert's answer
2022-02-22T13:45:33-0500

Here we apply the Exponential growth and decay formula given as,

Pt=P0(r100+1)tP_t=P_0({r\over100}+1)^{t} where,

tt is time

PtP_t is the population at time tt

rr is the growth rate.

P0P_0 is the population at time t=0t=0

Here,

P0=2000r=4t=15P_0=2000\\r=4\\t=15

Therefore,

P15=2000(4100+1)15=2000(1.80094351)=3601.887023602P_{15}=2000({4\over100}+1)^{15}=2000(1.80094351)=3601.88702\approx 3602

Population after 15 years will be approximately 3602


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS