JC asked in Science & MathematicsMathematics · 1 decade ago

Can someone show me how to solve for r?

(1/(1+r)) * (29.4/r) - 102.7 = 0

1 Answer

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  • 1 decade ago
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    Add 102.7 to both sides

    (1/(1+r)) * (29.4/r) = 102.7

    multiply (1/(1+r)) * (29.4/r)

    29.4/[(1+r)(r)] = 102.7

    Expand the denominator

    29.4/[(r + r^2)] = 102.7

    Multiply both sides by [(r + r^2)

    29.4 = 102.7(r + r^2)

    Expand 102.7(r + r^2)

    29.4 = 102.7r + 102.7r^2

    subtract 29.4 from both sides.

    0 = 102.7r + 102.7r^2 - 29.4

    Use the quadratic formula to find r.

    http://www.purplemath.com/modules/quadform.htm - this site shows the formula.

    input the numbers into the formula and it will give you your r values.

    -102.7 + sqt(102.7^2 - 4*102.7*-29.4)

    ----------------------------------------------- = r

    2 * 102.7

    r = ~-0.49197...

    -102.7 - sqt(102.7^2 - 4*102.7*-29.4)

    ----------------------------------------------- = r

    2 * 102.7

    r = ~2.53169...

    hope I got all the numbers right and I hope this helps

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