Answer:2006
Step-by-step explanation:
[tex]A = 118e^{0.024t}[/tex]
When A = 140:
[tex]140 = 118e^{0.024t}[/tex]
[tex]\frac{140}{118} = e^{0.024t}[/tex]
[tex]ln(\frac{140}{118}) = 0.024t[/tex]
[tex]\frac{1}{0.024} ln(\frac{140}{118}) = t[/tex]
Plugging into a calculator, t is approximately 7.12. Since t represents years since 1998, we round up to the nearest whole number: t=8. So the population of the city will reach 140 thousand in the year 2006.
