Choose the correct answers for amount financed and the finance charge in dollars for the following problem. curtis hindle purchased a mountain bike for $550.00 with 75% down. he will make 12 payments of $25.40 each. what is the total amount paid (including down payment) and finance charge in dollars? the total paid (including down payment) is $ . the finance charge in dollars is $

Total paid = $717.3

Finance charge = $167.3

Step-by-step explanation:

The cost price of mountain bike = $550

The down payment on bike = 75% of $550 = 0.75 * 550 = $412.5

We know that he will make 12 payments of $25.40 each so total monthly payments = 12 * 25.40 = $304.8

The total amount paid = Down payment + Total monthly payments = $412.5 + $304.8 = $717.3

The finance charge = Total amount paid - Cost price = $717.3 - $550 = $167.3

(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