anonymous
  • anonymous
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.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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
  • anonymous
thats what i thought
phi
  • phi
\[ 114 e^{0.024t} = 140 \\ e^{0.024t} = \frac{140}{114} \\ 0.024 t = \ln\left(\frac{140}{114} \right) \\ t= \frac{\ln\left(\frac{140}{114} \right) }{0.024} \]

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madhu.mukherjee.946
  • madhu.mukherjee.946
8.56
phi
  • phi
t= 8.56 years add this to 1998
phi
  • phi
you get 2006.56 which is the middle of 2006
madhu.mukherjee.946
  • madhu.mukherjee.946
yeah

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