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2 years ago

A university is trying to determine what price to charge for tickets to football games. At a price of $30 per ticket,

Mathematics

1 answer:

kykrilka [37]2 years ago

7 0

Answer:

The price should be 25 dollars, with this price 50000 people will attend the game.

Step-by-step explanation:

To solve this question we can build a table in which we compare the information taking into account the price of the ticket, the average number of people, the earnings for the sale of the tickets and the earnings of the sales in the concessions and with this determine the maximize revenue that corresponds to the best options for the university so as you can see in the attachment.

To calculate the average people we subtract 10000 per each decrease in $5.

To calculate the earnings per sales we have to multiply the cost of the ticket by the number of average people

To calculate the earnings per concessions we have to multiply the spends in the concessions by the average people

To calculate the total earnings we have to add the earnings per sales with the earnings per concessions.

As you can see, the total earnings for ticket price of $25 and $20 are the same ($150,000) if we increase or decrease the price of the tickets, the total earnings will decrease, then we have to choose the best option.

For maintaining the security and the infrastructure, it will be better to have less people, then the most convenient option will be that in which 50,000 people attend to the game, and for this, the price will be of $25.

Then, the price should be 25 dollars, with this price 50000 people will attend the game.

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Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the

xenn [34]

Answer:

As per the given statement:

The region bounded by the given curves about the y-axis, $y = 13e^{-x^2}$ , y=0, x = 0 and x = 1

Using cylindrical shell method:

The volume of solid(V) is obtained by rotating about y-axis and the region under the curve y = f(x) from a to b is;

$V = \int_{a}^{b} 2\pi x f(x) dx$ where $0\leq a$

where x is the radius of the cylinder

f(x) is the height of the cylinder.

From the given figure:

radius = x

height(h) =f(x) =y= $13e^{-x^2}$

a = 0 and b = 1

So, the volume V generated by rotating the given region:

$V =2 \pi \int_{0}^{1} x ( 13e^{-x^2}) dx\\\\V=2\pi\left [ -\frac{13}{2}e^{-x^2} \right ]_{0}^{1}\\\\V=2\pi\left (-\frac{13}{2e}-\left(-\frac{13}{2}\right) \right )\\\\V=-\frac{13\pi }{e}+13\pi$

therefore, the volume of V generated by rotating the given region is $V=-\frac{13\pi }{e}+13\pi$

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2 years ago

martin will roll a number of cube 150 times.The number cube is labeled 1 to 6.How many times could Martin expect to roll a numbe

olga_2 [115]

So the probability of rolling a number greater than 2 is 4/6. So 4/6 times 150 should give you the answer 100.

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2 years ago

Points b,d, and f are midpoints of the sides of triangle ACE. EC=30 and DF= 17 find AC

Margaret [11]

Answer:

Your answer should be AC=2DF=34

Step-by-step explanation:

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2 years ago

Which graph most likely shows a system of equations with no solutions

Vladimir79 [104]

Answer:

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A system of equations has no solutions when their graphs do NOT meet at any point.

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2 years ago

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In this problem you will estimate the heat lost by a typical house, assuming that the temperature inside is tin=20∘c and the tem

san4es73 [151]

Step 1:

Calculate the effective thermal conductivity of the wall or ceiling:

K_eff = [ (13 ÷ 8)(0.12) + (16 - (13 ÷ 8)) × (0.04)] ÷ 16

K_eff = [ 0.195 + 0.565] ÷ 16


K_eff = 0.76 ÷ 16

K_eff = 0.0475 W/ (m K)

Step 2:

Calculate the interior ceiling area:

Area of each of the interior side walls = 8.82 m x 8.64 m
= 76.2 m²

Area of the interior ceiling = 8.64 m × 8.64 m
 = 74.6 m²

H = - k·A·(Δ - T) ÷ (thickness)

H = - 0.0475 ÷ (379.45 × 20) ÷ 45/8

H = - ( - 0.95 × 379.45 ) ÷ 0.1429

H = 2.52 kW

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2 years ago