His total
vuk out an 80/20 mortgage to buy a house costing $156,000. the first (80%) mortgage has
an interest rate of 6.65%, and the second (20%) mortgage has an interest rate of 8.9%. both are 30-
year fixed-rate mortgages. let's joel understand his mortgage better by examining it in greater
detail. (6 points: part i - 1 point; part ii - 1 point; part iii - 1 point; part iv - 1 point; part v- 1 point; part
vi - 1 point)
part i: what is the amount of joel's first mortgage?

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

2 1/2 feet

step-by-step explanation: