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Math Help - Need help rearranging a formula

  1. #1
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    Need help rearranging a formula

    Can someone help me algebraically rearrange the compound interest formula in order to find r? A=P(1+r/n)^(nt) rearranged to r=?

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  2. #2
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    Re: Need help rearranging a formula

    A = P\left(1 + \frac{r}{n}\right)^{nt}

    \frac{A}{P} = \left(1 + \frac{r}{n}\right)^{nt}

    \left(\frac{A}{P}\right)^{\frac{1}{nt}} = 1 + \frac{r}{n}

    \left(\frac{A}{P} \right)^{\frac{1}{nt}} - 1 = \frac{r}{n}

    n \left[\left(\frac{A}{P} \right)^{\frac{1}{nt}} - 1\right] = r
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