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anonymous

  • one year ago

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.

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  1. anonymous
    • one year ago
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    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.

  2. anonymous
    • one year ago
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    thats what i thought

  3. phi
    • one year ago
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    \[ 114 e^{0.024t} = 140 \\ e^{0.024t} = \frac{140}{114} \\ 0.024 t = \ln\left(\frac{140}{114} \right) \\ t= \frac{\ln\left(\frac{140}{114} \right) }{0.024} \]

  4. madhu.mukherjee.946
    • one year ago
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    8.56

  5. phi
    • one year ago
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    t= 8.56 years add this to 1998

  6. phi
    • one year ago
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    you get 2006.56 which is the middle of 2006

  7. madhu.mukherjee.946
    • one year ago
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    yeah

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