What is the selling price of merchandise listed at $5,900 if discounts of 15%, 10%, and 4% are given?

after 15%, discount = $5,015

after 10%, discount = $5,310

after 4%, discount=  $5,664

Step-by-step explanation:

1.discount of  15 % of the price listed

so 15 % of $5,900 will be=    15/100      x 5900  =    885 $

 so after discounting the price =$5,900 - $885    = $5,015

2. discount of  10 % of the price listed

so 10 % of $5,900 will be=    10/100      x 5900  =    590 $

 so after discounting the price =$5,900 - $590    = $5,310

3. discount of  4 % of the price listed

so 4 % of $5,900 will be=    4/100      x 5900  =    236 $

 so after discounting the price =$5,900 - $236  = $5,664

(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