If I understood correctly, it is 11.5.
C. can be represented in a line
Division yields

Now for partial fractions: you're looking for constants <em>a</em>, <em>b</em>, and <em>c</em> such that


which gives <em>a</em> + <em>b</em> = 2, <em>c</em> = 0, and 2<em>a</em> = -7, so that <em>a</em> = -7/2 and <em>b</em> = 11/2. Then

Now, in the integral we get

The first two terms are trivial to integrate. For the third, substitute <em>y</em> = <em>x</em> ² + 2 and d<em>y</em> = 2<em>x</em> d<em>x</em> to get

Answer: I believe it would be 2.90
Step-by-step explanation:
The equation that returns the cost, C, that in employee has to pay is:
C = 0.765x + 0.06(0.765x)
Where x is the price before discount, 0765 is the price after discount and before taxes, and 0.06(0.765x) is the value of the tax.
Furthermore, note where 0765 comes from:
x less 15% disscount = x - 0.15x = 0.85x;
0.85 less 10% disscount = 0.85x - 0.1*0.85x = 0.85x - 0.085x = 0.765x.
So, you just must replace the price in the formula:
C = 0.765($100) + 0.06(0.765*$100) = $76.5 + $4.59 = $81.09
Answer: 81.09