3 Mallie purchases a $12,000 car by taking out a loan. She will pay an 8% sales tax on the price of the car. She has also agreed to pay the loan plus tax back within 36 months at a simple Interest rate of 5x. Find each value listed in the table below, as well as the minimum monthly payment Mallie should make in order to repay the loan within the allotted time. Use the space provided to show your process.

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3