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
$\displaystyle 14.74=3.05+\frac{1}{1.115^{10}}\left(\frac{.76(1+a )}{.1150-a}\right)$
First subtract 3.05 from both sides and expand the power. Then distribute the numerator in the last fraction.
$\displaystyle 11.69=\frac{1}{2.969946827}\left(\frac{.76+.76a)}{ .1150-a}\right)$
Next, multiply the two fractions together.
$\displaystyle \frac{11.69}{1}=\frac{.76+.76a}{.341543885-2.969946827a}$
Cross multiply
$\displaystyle .76+.76a=3.992648016-34.71867841a$
Combine terms
$\displaystyle 35.47867841a=3.232648016$
Finally, divide by the coefficient of a
$\displaystyle a=.091115232$
Is this what you expected?