Answer:
112,547.095 million
Step-by-step explanation:
Data provided in the question
Population of a city in 2005 = 18,000
In the year 2010, the city population = 45,000
Now to find out the projected population for 2015 we use the exponential model
[tex]P = P(0)\times e^{rt}[/tex]
where
P(0) = Initial population
r = growth rate
t = time
e = natural log
So,
[tex]45,000 = 18,000 \times e^{5r}[/tex]
So
[tex]e^{5r} = \frac{45}{18}[/tex]
[tex]5r = ln \frac{(45)}{(18)}[/tex]
r ≈ 0.1833
Now
[tex]P = 18,000e^{10\times0.1833}[/tex]
= 112,547.095 million
