Solve for r?

Please solve for "r" and show detailed steps. I am a little rusty on my Algebra.

95.5 = (1/(1+r)) * (29.4/r)

1 Answer

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  • Anonymous
    1 decade ago
    Favorite Answer

    95.5 = (1/(1+r)) * (29.4/r) = (29.4)/{(1+r)(r)};

    (95.5) {(1+r)(r)} = 29.4;

    {(1+r)(r)} = 29.4/95.5 = 0.30785

    r^2 +r = 0.30785

    r^2 +r - 0.30785 =

    note that

    (r +1/2)^2 = r^2 + r +1/4 ; hence

    r^2 +r - 0.30785 = = (r +1)^2 -1/4 - 0.30785 =0

    (r +1)^2 = 0.55785

    r +1 = ± 0.55785

    r = -1 + 0.55785 = - 0.44215 or

    r = -1 - 0.55785 = -1.55785

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