Answer:
The population be after 15 years is 171376.
Step-by-step explanation:
Given : A population of 110,000 grows 3% per years 15 years.
To find : How much will the population be after 15 years?
Solution :
Exponential growth population model is given by,
[tex]P(t)=P_o(1+r)^t[/tex]
Where,
P(t) is the population at time (t)
[tex]P_o=110,000[/tex] is the initial value of the population
r=3%=0.03 is the annual rate of growth
t=15 is the time in years.
Substitute the value,
[tex]P(t)=110000(1+0.03)^{15}[/tex]
[tex]P(t)=110000(1.03)^{15}[/tex]
[tex]P(t)=110000\times 1.5579[/tex]
[tex]P(t)=171376.41[/tex]
Therefore, the population be after 15 years is 171376.
