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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- Oct 13th 2008, 10:17 PMKate182percent 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 - Oct 14th 2008, 12:25 AMProve It
Use logarithms.

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

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

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

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

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