Thread: Need help with an alegebra question

1. 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

2. 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.

3. Originally Posted by CassMan
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?

4. That is correct. Sorry for any confusion.

Thanks

5. Originally Posted by masters
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?

6. Yes, thank you so much. I really appreciate your assistance.