The next model of a sports car will cost 5.3% less than the current model. The current model costs $49,000. How much will the price decrease in dollars? What will be the price of the next model?

Price decrease: $2,597

Price of next model: $46,403

Step-by-step explanation:

100% - 5.3% = 94.7%

94.7% = 0.947 as a decimal

49,000 * 0.947 = 46,403 for next model

The difference is 49,000 (current) - 46,403 (the new model) = $2,597

Hope this helped! Have a great day :D

(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

idk

step-by-step explanation: