Quiz 2

Date: MATH 1090-4 - Fall 2003

Note: Unless stated otherwise, answers without justification receive no credit. Please, show your work!

1. Compute and simplify the following expressions so that only positive exponents remain.
   1. $\frac{3x^{-2}}{(3x)^2}=$
   2. $\frac{3x^{-2}}{3x^2}=$
   3. $\frac{(3x)^{-2}}{(3x)^2}=$

2. Solve the following equation. Be sure to check the solution in the original equation.

   $$x+\frac{1}{3} =2(x-\frac{2}{3})-6x$$

   
   

3. The dollars of interest, $I$, paid on a debt of $10000$ over $3$ years, when the interest rate is $r\%$ satisfies the equation

   $$\frac{I}{175.393} + 0.663 = r.$$

   
   
   If the interest rate is $19.8\%$, find the amount of interest paid during the $3$ years.