The formula A = 118e0.024t models the population of a particular city, in thousands, t years after 1998. When will the population of the city reach 140 thousand? Show your work.

Question

anonymous · Answer

my answer 2005
what my teacher said  Substitute the values given to find the final answer. t is years after 1998 so once you have t add this to the year 1998.

anonymous · Answer

thats what i thought

phi · Answer

$$ 114 e^{0.024t} = 140 \ e^{0.024t} = \frac{140}{114} \
0.024 t = \ln\left(\frac{140}{114} \right) \
t= \frac{\ln\left(\frac{140}{114} \right) }{0.024} $$

madhu.mukherjee.946 · Answer

8.56

phi · Answer

t= 8.56 years 
add this to 1998

phi · Answer

you get 2006.56  which is the middle of 2006

madhu.mukherjee.946 · Answer

yeah