5. A Major League Baseball stadium sells three types of tickets. Reserved tickets are sold for $20 each, field-level tickets are sold for $50 each, and box seat tickets are sold for $100 each. A graph depicts these three types of tickets sold for their Friday night game. What does the point of intersection represent? A) When all three ticket prices generate the same revenue.
B) When all three types of tickets have sold the same amount.
C) When all three types of tickets cost the same amount
D) When all three types of tickets reach their maximum revenue

A) When all three ticket prices generate the same revenue.

Step-by-step explanation:

Reserved tickets cost $20 each.

Field-level tickets cost $50 each.

Seat tickets cost $100 each.

Then if x represents the number of reserved tickets sold, the total revenue for the reserved tickets will be:

R(x) = x*$20

If w represents the number of field-level tickets sold, the total revenue for field-level tickets will be:

F(w) = w*$50

If y represents the number of seat tickets sold, then the total revenue for the seat tickets will be:

S(y) = y*$100

Those equations will intersect when:

R(x) = F(w) = S(y)

This will mean that they will intersect when all three tickets have the same revenue, then the correct option is:

A) When all three ticket prices generate the same revenue.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

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.