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Math Help - Growth & Decay

  1. #1
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    Exclamation Growth & Decay

    Hi

    Could someone please show me why I cant get the right answer for (c) which is 76.07???
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  2. #2
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    Quote Originally Posted by UltraGirl View Post
    Hi

    Could someone please show me why I cant get the right answer for (c) which is 76.07???
    1. All your considerations and calculations are correct - except the very last line: You used an incomplete value of k in the exponent.

    2. With
    k=-\frac2{35} \ln\left(\frac{13}{28}\right)
    and
    t = 20

    you'll get:

    T_1=64+56 \cdot e^{-\frac74 \cdot -\frac2{35} \ln\left(\frac{13}{28}\right) \cdot 20}

    which simplifies to

    T_1=64+56 \cdot e^{2 \ln\left(\frac{13}{28}\right)} = \frac{1065}{14}\approx 76.0714...
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