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Math Help - Need help with an alegebra question

  1. #1
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    Need help with an alegebra question

    Hello, haven't done algebra for a while. Can someone give me step by step help with the following equation:

    14.74=3.05+1/(1.1150)^10*[(.76*1+a))/(.1150-a)]

    Thank you very much
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  2. #2
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    Is this the wrong place to post questions. Also, this is not for school, but for my job, so I am not cheating by asking for this equation to be looked at.
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  3. #3
    A riddle wrapped in an enigma
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    Quote Originally Posted by CassMan View Post
    Hello, haven't done algebra for a while. Can someone give me step by step help with the following equation:

    14.74=3.05+1/(1.1150)^10*[(.76*(1+a))/(.1150-a)]

    Thank you very much
    Before tackling this, let me be sure I have it right. You have an unmatched parenthesis in your equation. Let's see if I can guess where it goes.

    14.74=3.05+\frac{1}{1.115^{10}}\left(\frac{.76(1+a  )}{.1150-a}\right)

    Is this it?
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  4. #4
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    That is correct. Sorry for any confusion.

    Thanks
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  5. #5
    A riddle wrapped in an enigma
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    Quote Originally Posted by masters View Post
    Before tackling this, let me be sure I have it right. You have an unmatched parenthesis in your equation. Let's see if I can guess where it goes.
    14.74=3.05+\frac{1}{1.115^{10}}\left(\frac{.76(1+a  )}{.1150-a}\right)

    First subtract 3.05 from both sides and expand the power. Then distribute the numerator in the last fraction.

    11.69=\frac{1}{2.969946827}\left(\frac{.76+.76a)}{  .1150-a}\right)

    Next, multiply the two fractions together.

    \frac{11.69}{1}=\frac{.76+.76a}{.341543885-2.969946827a}

    Cross multiply

    .76+.76a=3.992648016-34.71867841a

    Combine terms

     35.47867841a=3.232648016

    Finally, divide by the coefficient of a

    a=.091115232

    Is this what you expected?
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  6. #6
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    Yes, thank you so much. I really appreciate your assistance.
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