<span>
<span>
<span>
32,998
</span>
-4,200 = 28,798 Total Loan Amount
Monthly Loan Payments = 225 for months = 13,500.00 for five years
This amount doesn't equal the principal so the problem could be worded incorrectly.
</span> </span>
area=base x height so i’m thinking it’s 4x17=68
Hello here is a solution :
<span>h(g(f(x))) ?
</span>g(f(x))= g(2x+5)=(2x+5)²=(2x)²+2(2x)(5)+5² = 4x²+20x+25
h(g(f(x)))(x) = h(4x²+20x+25) = -2(4x²+20x+25)
h(g(f(x)))(x) = -8x²-40x-50

You have a rational expression whose numerator's degree is smaller than the denominator's. This tells you you should consider a partial fraction decomposition. We want to rewrite the integrand in the form


You can use the "cover-up" method here to easily solve for
. It involves fixing a value of
to make 2 of the 3 terms on the right side disappear and leaving a simple algebraic equation to solve for the remaining one.
- If
, then 
- If
, then 
- If
, then 
So the integral we want to compute is the same as

and each integral here is trivial. We end up with

which can be condensed as
