This question is incomplete, the complete question is;
A university is trying to determine what price to charge for tickets to football games. At a price of $24 per ticket, attendance averages 40,000 people per game. Every decrease of $4 adds 10,000 people to the average number. Every person at the game spends an average of $4 on concessions. What price per ticket should be charged in order to maximize revenue? How many people will attend at that price?
Answer:
a) price per ticket = $18
b) 55,000 will attend at that price
Step-by-step explanation:
Given that;
price of ticket = $24
so cost of ticket = 24 - x
every decrease of $4 adds 10,000 people
for $1 adds 2,500 people
Total people = 40000 + 2500x
Revenue function = people × cost + people × 4
so
R(x) = (40000 + 2500x)(24 - x) + (40000 + 2500x)4
R(x) = 960,000 - 40000x + 60000x - 2500x² + 160,000 + 10000x
R(x) = 1120000 + 30000x - 2500x²
R(x) = -2500x² + 30000x + 1120000
now for maximum revenue; R'(x) is to zero
so
R'(x) = d/dx( -2500x² + 30000x + 1120000 ) = 0
⇒ -5000x + 30000 + 0 = 0
⇒ -5000x + 30000 = 0
⇒ 5000x = 30000
x = 30000 / 5000
x = 6
R'(X) = -5000 < 0 ⇒ MAXIMUM
∴ Revenue is maximum at x = 6
so cost of ticket ;
price per ticket = (24 - x) = 24 - 6 = $18
so price per ticket = $18
Number of people = 40000 + 2500x
= 40000 + (2500 × 6)
= 40000 + 15,000
= 55,000
Therefore, 55,000 will attend at that price
Which table shows a proportional relationship.
Answer:
#1
Step-by-step explanation:
bcz #1
Answer:
R and S I think
Step-by-step explanation:
Find the value of X.
Answer:
148 degrees
Step-by-step explanation:
2 Remote interior angle added to one another equals the measure of the exterior angle
44+104=148
Help I’ll mark brainliest
Answer:
ACD
Step-by-step explanation:
Kylie use the number 400 represent a location 400 miles north of the equator.She uses the number -2,000 to represent a location 2,000 miles south of the equator.Which number would represent a location on the equator?
Answer:
0 would represent on equator
Mr. Smith's first test's data: 55, 42, 78, 99, 69, 83, 74, 83, 97.
The median is labeled Q2 for the 2nd quartile. What is the Q2 for Mr. Smith's first test?
thanks to whoever can help!!! <3
Answer:
arrange it first in increasing order
42,55,69,74,78,83,83,97,99
n=9
we have
Q2=(n+1)/2th term=(9+1)/2th term=5thterm=78
Answer:
78
Step-by-step explanation:
what does the y equal in the system of equations y= 2x-7 and 5x+2=4
Answer:
y = -31/5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x - 7
5x + 2 = 4
Step 2: Solve for x
Define equation: 5x + 2 = 4Subtract 2 on both sides; 5x = 2Divide 5 on both sides: x = 2/5Step 3: Solve for y
Define equation: y = 2x - 7Substitute in x: y = 2(2/5) - 7Multiply: y = 4/5 - 7Subtract: y = -31/5Which graph correctly solves the system of equations below?
x² + y² = 16
y = x - 4 (1 point)
Answer:option a
Step-by-step explanation:
You are given a line with a slope of 4 and a point on the line of (-1, 3). Write
the equation in point slope form, then slope-intercept form.
Answer:
Point-slope form: [tex]y-3 = 4(x+1)[/tex]
Slope-intercept form: [tex]y=4x+7[/tex]
Given f(x)=5/2x+7,if f(x)=-13 find x
pls show work
Answer:
x=-25.5
Step-by-step explanation:
5/2(-13) +7=-25.5
Answer:
The value of x = -1/8
Step-by-step explanation:
Given
[tex]f\left(x\right)=\frac{5}{2x}+7[/tex]
[tex]f(x)=-13[/tex]
To determine
The value of x = ?
Using the function
[tex]f\left(x\right)=\frac{5}{2x}+7[/tex]
substituting f(x) = -13 in the function
[tex]-13=\frac{5}{2x}+7[/tex]
Subtract 7 from both sides
[tex]-13-7=\frac{5}{2x}+7-7[/tex]
Simplify
[tex]-20=\frac{5}{2x}[/tex]
Multiply both sides by 2x
[tex]-20\cdot \:2x=\frac{5}{2x}\cdot \:2x[/tex]
Simplify
[tex]-40x=5[/tex]
Divide both sides by -40
[tex]\frac{-40x}{-40}=\frac{5}{-40}[/tex]
[tex]x=-\frac{1}{8}[/tex]
Therefore, the value of x = -1/8
If ab and cd are congruent what is the measure of
Answer:
25°
Step-by-step explanation:
the arcs are congruent, and the radii are the same length, as it would be from any other point in a circle. this means that the angle must be the same.
Amy can ride her bike 4 miles in 30 minutes. At her current rate, what is the difference, in miles, Amy can ride her bike in 12 minutes?
The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 4 minutes and 18 minutes. What is the probability that it takes Isabella more than 7 minutes to wait for the bus
Answer:
0.25 or 25% probability
Step-by-step explanation:
The lower limit in this question = a
The upper limit = b
P(X<=x) = x-a/b-a
a = 4
b = 8
The question says it is uniformly distributed between 4 minutes and 8 minutes
Probability that it takes her more than 7 minutes to wait for the bus
P(X<=7) + P(X>7)= 1
We are to get P(X>7)
= 1 - (7-4/8-4)
= 1-3/4
= 1-0.75
= 0.25
= 25% probability it takes her more than 7 minutes to wait
A pudding recipe for 50 people calls for 4 cups of suger. Each bag contains 6 cups of suger how many bags of suger will be needed to make this recipe for 300 people?
Answer:
4 bags
Step-by-step explanation:
50 people = 4 cups
300 people = 24 cups
24 cups ÷ 6 cups a bag = 4 bags
The bags of sugar that will be needed to make this recipe for 300 people will be 4 bags.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
A pudding recipe for 50 people calls for 4 cups of sugar. The ratio of the number of cups of sugar to the number of people. Then we have
Rate = 4 / 50
Rate = 2 / 25 cups per person
If the number of people is 300. Then the number of cups of sugar will be given as,
⇒ (2/25) x 300
⇒ 24 cups
The number of bags of sugar is given as,
⇒ 24 / 6
⇒ 4 bag
The sacks of sugar that will be expected to make this recipe for 300 individuals will be 4 packs.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
(1) Colin wants to cut the pizza into 1/6 slices. Marco wants to cut the pizza into 1/4 slices. What is a common denominator of both fractions so that Marco and Colin can see both fourths and sixths in the pizza? What would the equivalent fractions be?
1/12
1/6 = 2/12
1/4 = 3/12
Step-by-step explanation:
Joe earns $1,475 per month as a clerk at Elm City Sporting Goods. How much does he earn in a year? Explain how you got your answer.
Answer:
$17,700
Step-by-step explanation:
multiply the monthly by 12 for the 12 months of the year
slope = -5, y - intercept = 1
I need to write this in slope intercept form
Answer:
y=-5x+1
Step-by-step explanation:
Slope intercept form is y=mx+b
m is the slope
b is the y-intercept
Plug the slope and intercept you were given in and you get the equation of the line in slope intercept form
y=-5x+1
if 3/4g = -12 what is g
Answer:
g = -16
Step-by-step explanation:
-12/3 = -4
-4 x 4 = -16
5. Which of the following represent the greatest rate? *
10 points
O (A) 0.5 mile in 10 minutes
O (B) 6 miles in 60 minutes
O (C) 27 miles in 300 minutes
O (D) 3 miles in 24 minutes
Answer:
the answer is c
Step-by-step explanation:
because 27 × 300 equals 8100 miles plus it's the most out of all the other answers
What expression is equal to -8(4y)
Answer:
32y
Step-by-step explanation:
take off the y then do the equation -8×4=32 then put the y back on an theres your answer
Point G has coordinates (-4,7) and point H has coordinates (3,0)
Answer:
there is no answer to that
Step-by-step explanation:
what do you mean by that.
A. 5°
B. 35°
C. 31°
D. 7°
Answer:
(2x +30) and (3x -5) (they're opposite to eachother, so they're equal)
2x + 30 = 3x - 5 (set them equal to eachother, then subtract 3x from both side)
-1x = -35 (divide both sides by -1 to isolate x)
x = 35 or B (this is your answer)
Step-by-step explanation:
I hope this helps :))
if a system of linear equations has infinitely many solutions, what does this mean about the two lines?
Answer: If a system has infinitely many solutions, then the lines overlap at every point. In other words, they're the same exact line so this means that any point on the line is a solution to the system.
Step-by-step explanation: Hope this helps
this is the question
Hey there!
The answers to your question are C, D, and E
If there are repeats in the X column, then it's not a function. If there are no repeats, then it is! If there are repeats in the Y column, that's ok, but there cannot be repeats in the X column.
Hope this helps! If you need any other help, just tell me!
Given A(0.2), B(5,5), and C(7, 2). Reflect AABC over the x-axis.
Give the coordinates of the vertices of the image.
A) A'(0.2) B(-5,5) C'(-7, 2)
B) A'(-2, ) B'(-5.5) C'(-2,7)
C) A'(0, -2) B'(5,-5) C'(7,-2)
D) A (2.0) B*(5,5) C'(2.7)
E) NOTA
1. Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. (a) How fast is the volume increasing when the radius of the base is 3 ft and is increasing at a rate of 3 in/min
Answer:
The volume is increasing at a rate of 16286 in³/min.
Step-by-step explanation:
a) The volume of a cone is given by:
[tex] V = \frac{1}{3}h\pi r^{2} [/tex]
Where:
r: is the radius
h: is the height
The rate of change of the volume can be calculated by using the chain rule:
[tex] \frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}] [/tex]
Since h = 4/3 r we have:
[tex] \frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}] [/tex]
[tex] \frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}] [/tex]
[tex] \frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}] [/tex] (1)
With:
[tex]\frac{dr}{dt}[/tex] = 3 in/min
[tex]r = 3 ft*\frac{12 in}{1 ft} = 36 in[/tex]
And by entering the above values into equation (1) we have:
[tex] \frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min] [/tex]
[tex]\frac{dV}{dt} = 16286 in^{3}/min[/tex]
Therefore, the volume is increasing at a rate of 16286 in³/min.
I hope it helps you!
Cheyenne's car is in the shop, so she needs to rent a car for 4 days. The cost of a rental car is $24.99 per day, and she will be charged $0.18 per mile for every mile she drives over 200 miles. If she drives 300 miles and the sales tax she pays on the rental is 5.5%, how much will she pay for this rental?
1) Find the cost to rent the car for 4 days.
2) How many miles did Cheyenne drive over 200 miles? Remember to look at the difference between the total miles driven and the miles over 200.
3) Find the cost for miles over 200.
4) Find the total cost including the cost to rent and the cost for miles.
5) Find the total with tax. The multiplier is 1.055
A.
$124.45
B.
$117.96
C.
$130.94
D.
$99.96
Father
Step-by-step explanation:
Hhhh
to the nearest unit, what is the perimeter of this pentagon ? pls help
Answer:
29
Step-by-step explanation:
Please help my last point and I’m confused show your work please
Answer:
A, C, F
Step-by-step explanation:
A = C
75 = 75 because X = 16
180 - 75 so D and B is 105
HELP ASAP (6 + 9m) + (- 4y - 5) + (7m + 6y)
Answer:
Simplify the expression
16m+2y+1
ayooo can somebody help me with my sister's homework?
Answer:
D. y = 1/2x + 3
Step-by-step explanation:
y = mx + b
m = slope
b = the y-intercept
To find the slope we can do rise over run or y/x
r/r = 1/2
The slope is 1/2
To find the y-intercept, is where the line hits the y axis which is at.....
3
So...
y = 1/2x + 3
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
D
Step-by-step explanation:
the answer is D because the line starts and three and rises 1 and over 2. its not negative because the line goes up