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Math Help - percent annual growh rate

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    Question percent annual growh rate

    How do i find the percent annual growth or decay rate and the continuaous percent growht or decay rate per year with this formula:

    y=100(0.9324)^t
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  2. #2
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    Quote Originally Posted by Kate182 View Post
    How do i find the percent annual growth or decay rate and the continuaous percent growht or decay rate per year with this formula:

    y=100(0.9324)^t
    Use logarithms.

    \log_{10}{y} = \log_{10}{100(0.9324)^t}

    \log_{10}{y} = \log_{10}{100} + \log_{10}{(0.9324)^t}

    \log_{10}{y} = 2 + t\log_{10}{0.9324}

    \log_{10}{y} - 2 = t\log_{10}{0.9324}

    t = \frac{\log_{10}{y} - 2}{\log_{10}{0.9324}}.
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