Simplify: x^2-4x-12/x^3-10x^2+24x

(x + 2) / x(x - 4).

Step-by-step explanation:

x^2-4x-12/x^3-10x^2+24x

= (x + 2)(x - 6) / x(x^2 - 10x + 24)

=  (x + 2)(x - 6) / x(x - 4)(x - 6)          x -6 is common to top and bottom so:

= (x + 2) / x(x - 4).

d. Since the finance charge for the 24 month loan is lower, this loan will save more.  

Step-by-step explanation:

Since, The monthly payment formula of a loan,

Where, PV is the principal value of the loan.

r is the interest rate per period

n is the number of period,

For, 36 months loan, monthly payment,

=

=

=

Thus, the total finance charge =

Again,

For, 24 months loan, monthly payment

=

=

=

Thus, the total finance charge for this loan =

Since, 8190.616 > 7752.35

Thus, the finance charge for 24 month loan is less than that of 36 month loan.

⇒ Since, the finance charge for the 24 month loan is lower, this loan will save more.