Sabella & her family went to Red Lobster. Their bill was $135.65. They had a 15% off coupon on meals more than $75. In addition, they wanted to leave a 20% tip on the original bill amount. How much tip should they leave? How much will they be discounted? What would be their total for the bill with the discount and tip included

The tip amount to be given is $ 27.13

The discounted amount is $ 20.3475

Total for the bill with the discount and tip included is $ 142.4325

Solution:

Given that,

Sabella & her family went to Red Lobster

Their bill was $135.65

They wanted to leave a 20% tip on the original bill amount

Thus the tip paid is given as:

Tip amount = 20 % of 135.65

Thus the tip amount to be given is $ 27.13

They had a 15% off coupon on meals more than $75

Thus the discounted amount is given as:

Thus the discounted amount is $ 20.3475

What would be their total for the bill with the discount and tip included

Total bill = (original bill - discounted amount) + tip amount

Total bill = (135.65 - 20.3475) + 27.13

Total bill = 142.4325

Thus total for the bill with the discount and tip included is $ 142.4325

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.