Suppose that you decide to buy a car for $57,000, including taxes and license fees. You saved $10,000 for a down payment. The dealer is offering you a choice between two incentives. Incentive A is $5000 off the price of the car, followed by a four-year loan at 6.06%. Incentive B does not have a cash rebate, but provides free financing (no interest) over four years. What is the difference in monthly payments between the two offers? Which incentive is the better deal? Use PMT= P r n 1−1+ r n−nt. The difference in monthly payments between the two offers is $nothing. (Round to the nearest cent as needed.)

Following are the solution to this question:

Step-by-step explanation:

For incentive A

The car value = 57000

Calculating debt

Calculating the debt value after incentive

For incentive  B

The car value = 57000

Calculating the debt value

Calculating the monthly payment =

difference:

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.