Answer: 505,272
Step-by-step explanation:
Use the formula of Exponential growth:
[tex]P=P_0(1+r)^t[/tex]
Where [tex]P_0[/tex] is the initial poblation, r is the growth rate and t is the time in years.
Then, you know that:
[tex]P_0=340,000\\\\r=\frac{4.5}{100}=0.045\\\\t=9[/tex]
Substitute these values into the formula [tex]P=P_0(1+r)^t[/tex]. Therefore, you get that the population after 9 years is:
[tex]P=340,000(1+0.045)^9\\P=505,272.34[/tex]
Rounded to the nearest whole number:
[tex]P=505,272[/tex]
