Mathematics, 08.12.2020 20:50 fatumasiraj

What would be the answer for the constant proportionality?

Answers: 1

Show answers

Answers

Answer from: ashcormu11

a community theater currently sells 200 season ticket at $50 each.

in order to increase its season ticket revenue without increasing the number of season tickets that it sells, the theater surveys its season ticket holders to see if they would be willing to pay more.

the survey finds that for every $5 increase in the price of a ticket the theater would lose 10 season ticket holders.

what function if any, should the theater take to increase revenue?

Let x = the number of $5 increases and the number of 10 ticket decreases

Write an equation to find the revenue for this situation

R(x) = (200 - 10x)*(50 + 5x)

FOIL

R(x) = 10000 + 1000x - 500x - 50x^2

R(x) = -50x^2 + 500x + 10000 is the function

Max revenue occurs at the axis of symmetry, use x = -b/(2a) to find that

x = %28-500%29%2F%282%2A-50%29

x = +5 ea $5 increases so $75 will give max revenue (you lose 50 ticket holders)

Actual Revenue then: 75 * 150 = $11,250 vs 50 * 200 = $10000 originally

Step-by-step explanation:

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Answer from: Quest

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead

Another question on Mathematics

Mathematics, 21.06.2019 13:00

Match the term on the left with its image or description on the right. match term definition diameter a) circle a and a line segment connecting points b and c which are on the circle. circumference b) circle a and a line segment connecting points b and c which are on the circle. radius c) a piece of the circumference of a circle secant d) two circles that share the same center. concentric circles e) the distance around a circle arc f) a segment between two points on a circle that passes through its center

Answers: 3

Answer

Mathematics, 21.06.2019 17:00

The ratio of rock songs to dance songs on jonathan’s mp3 player is 5: 6. the total number of rock and dance songs jonathan has is between 101 120. how many rock songs does he have?

Answers: 2

Answer

Mathematics, 21.06.2019 20:00

Which of these numbers of simulations of an event would be most likely to produce results that are closest to those predicted by probability theory? 15, 20, 5, 10

Answers: 2

Answer

Mathematics, 21.06.2019 22:00