Judy is working at a retail store over the summer break. A customer buys an L. E. 470 a shirt that is on sale for 20% off. Judy computes the discount, then adds sales tax of
14%, and tells the customer how much he owes. The customer insists that Judy first
add the sales tax and then apply the discount. He is convinced that this way he will
save more money because the discount amount will be larger.
Answer the following questions:
1) Calculate the discount before adding the tax.
2) Calculate the selling price; give your answer to a reasonable degree of accuracy and justify.
3) Calculate the discount after adding the tax.
4) Calculate the selling price after the tax, give your answer to a reasonable degree of accuracy
and justify.
5) Does it make sense? Justify.
6) Is the customer right?
7) Would it work for any percentage discount and any sales tax percentage? Justify.

answer: idk

step-by-step explanation:

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.