A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at $8 the average attendance per game has been 20000. When the price dropped to $6, the average attendance rose to 27000. Assume that attendance is linearly related to ticket price.
Find a function that models the per game revenue in terms of the price
p
R
(
p
)
=
What ticket price would maximize revenue? (round to the nearest cent)
Answers
9514 1404 393
Answer:
R(p) = -3500p^2 +48000p . . . revenue function
$6.86 . . . price for maximum revenue
Step-by-step explanation:
The 2-point form of the equation for a line can be used to find the attendance function.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (27000 -20000)/(6 -8)(x -8) +20000
y = -3500(x -8) +20000
y = 48000 -3500x . . . . y seats sold at price x
The per-game revenue is the product of price and quantity sold. In functional form, this is ...
R(p) = p(48000-3500p)
R(p) = -3500p^2 +48000p . . . per game revenue
__
Revenue is maximized when its derivative is zero.
R'(p) = -7000p +48000
p = 48/7 ≈ 6.86
A ticket price of $6.86 would maximize revenue.
Related Questions
What is the volume of this rectangular prism? All dimensions are in centimeters.5 4 2
Answers
Answer:
5 * 4 * 2 = 40 cubic centimeters
Step-by-step explanation:
Convert 38,338,856 seconds to days. Round to 1 decimal.
Answers
Answer:
443.736759 day
Step-by-step explanation:
To convert a seconds to days, divide the time by the conversion ratio.
So.....
One day is equal to 86,400 seconds, you can use this formula to convert:
days = seconds ÷ 86,400
The time in days is equal to the seconds divided by 86,400.
Example: Convert 50,000 seconds to days (use the formula above)
50,000 sec = (50,000 ÷ 86,400) = 0.578704 day
Thao says she can find the answer to 8 x 90 by halving the 8 and doubling the 90 again and again until she gets down to 1 x 720. Is she correct?
Prove your answer.
Answers
Answer:
Yes
Step-by-step explanation:
4*180
2*360
1*720
8*90 = 720
Yes, halving the denominator and doubling the numerator gives the same results so she is correct.
What is numerator and denominator?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
It shows how many parts have been taken out of the whole. The numerical number that comes before the sum of all the factors is the denominator of a fraction.
Let's consider a multiplication a × b
If we do half of a and double of b
Then,
a/2 × 2b = a × b
Again,
(a/2)/2 × 2(2b) = a × b
So it will remain the same.
So similarly 8 x 90 will also remain the same.
Hence "Yes, halving the denominator and doubling the numerator gives the same results so she is correct".
For more about numerators and denominators
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The coordinates of G are
Answers
The coordinates of vertex G are (2,0). I did this.
SOMEONE HELP PLEASE NEED ANSWER ASAP!!!
Answers
Answer:
3
Step-by-step explanation:
=12/4
the common ratio =3
Need answer with full work
Answers
Answer:
Step-by-step explanation:
x^2 - 17x - 60
(x - 20)(x + 3)
x^2 + 3x - 20x - 60
x^2 - 17x - 60
(x + 20) is not one of the factors
using F.O.I.L., it would have been
x^2 + 17x - 60
5. In the morning, Kevin's cat eats 1/2 of a can of cat food. In the afternoon, the cat eats 1/4 of a can of food. In the evening, the cat eats 4/5 of a can of food. Which is the most reasonable estimate for the amount of food the cat eats throughout the day: 1 can, 2 cans, or 3 cans?
In just lazy so thanks people who are helping me
Answers
Answer:
2 cans
Step-by-step explanation:
1/2 + 1/4 + 4/5 = 1.55
2 is the best answer since we know the cat eats more than 1 and a half cans so the closest thing would be 2 cans
For dinner last night, Vinnie ordered a large supreme pizza with extra anchovies. The regular price of the pizza is $24 but Vinnie had a 20% off coupon. When Vinnie went to pay the bill, an 10% sales tax was added onto the discounted price.
How much did Vinnie pay for the pizza?
Answers
Answer:
$20.94
Step-by-step explanation:
A fashion designer wants to know how many new dresses women buy each year. A sample of 683 women was taken to study their purchasing habits. Construct the 95% confidence interval for the mean number of dresses purchased each year if the sample mean was found to be 4.6. Assume that the population standard deviation is 2. Round your answers to one decimal place.
Answers
The required confidence interval is (5.5<<5.7) for the mean number of dresses purchased each year.
As per the question, the given data as
[tex]\bar{x}[/tex] = 5.6
σ = 1.3
n = 650
The Z-critical value at the 95% confidence level is 1.960.
To determine the 99% confidence interval for the mean number of dresses purchased each year.
95% CI = [tex]\bar{x}[/tex] ± Z(Cr)(s/√n)
⇒ -5.6 ± 1.960(1.3/√650)
⇒ 5.6±0.100
⇒ (5.500,5.700)
Round to near 1 decimal place
⇒ (5.5,5.7)
Therefore, the required confidence interval is (5.5<<5.7)
Learn more about the critical value here:
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What type of angles are <5 and <6?
A. Vertical angles
B. Alternate exterior angles
C. Supplementary angles
D. Alternate interior angles
Answers
Answer:
C
Step-by-step explanation:
Supplementary angles because their sum is 180 degrees
It is bot B or D because they arent alternating, they are in fact next to each other.
It is not A because it is not a 90 degree angle
Find the present worth ofRS.2040 due 4 years hence reckoning interest at 5%p.a.
Answers
Answer: 408
Step-by-step explanation:
The present worth of Rs 2040 is due 4 years hence reckoning interest at 5% per annum will be Rs 2448.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Simple interest has a constant principal amount, as opposed to compound interest, which multiplies the interest from the principal of previous years to calculate the interest of the subsequent year.
Given,
Principle amount = Rs 2040
Time period = 4 years
Rate of interest = 5 %
Simple interest = PRT/100
Simple interest = 2040 × 5 × 4/100 = Rs408
Present worth = Principle amount + Interest
Present worth = 2040 + 408
Present worth = Rs 2448.
Hence present worth of the amount of Rs2040 in 4 years will be Rs 2448.
For more about simple interests
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Solve for x.
Greatly appreciate all efforts :)
Answers
Answer:
x = 11
Step-by-step explanation:
ΔLKM is an equilateral because a triangle with all 3 sides that are congruent is an equilateral triangle.
Angles in an equilateral triangle are all 60°.
Thus, ∠L = 60°.
=> 3x + 27 = 60
=> 3x = 33
=> x = 11
[tex]x=11[/tex]
Step-by-step explanation:
Given :-[tex]∠L=(3x+27)°[/tex]
ToFind:-Value of x.
We know that:-[tex]∠L= ∠K= ∠M=(3x+27)°[/tex]
[All sides of triangle are equal]
According to question:-[tex]∠L+ ∠K+ ∠M= 180°[/tex]
[Sum of all of triangle is 180°]
[tex]=>3x+27°+3x+27°+3x+27°=180°[/tex]
[tex]=>9x+81 =180°[/tex]
[tex]=>9x=180°-81[/tex]
[tex]=>9x=99[/tex]
[tex]=>x=\frac{99}{9}[/tex]
[tex]=>x=11[/tex]
The value of x is 11.Tell whether it is possible to draw a figure with the given description.
a triangle with sides of length 5 inches and 6 inches that meet at a 50° angle
Is it possible or not possible. Will give brinliest
Answers
Answer:
in my opinion it is not possibleStep-by-step explanation:
hope it helps you have a good day
Suppose a car uses one gallon of gasoline for
every 20 miles traveled.
1) If a gallon of gasoline costs $2.75, how much will the gasoline cost to
travel 300 miles in the car?
A) $22.00
B) $27.50
C) $32.75
D) $41.25
Answers
Answer:
the awnser is D) $41.25.
Plzzzz answer fast..
Answers
Answer:
D) LM=12; QP=8
Step-by-step explanation:
12/18=(x-1)/(x+3)
cross multiply
12x+36=18x-18
36+18=18x-12x
54=6x
9=x
LM = x+3 = 9+3 = 12
QP = x-1 = 9-1 = 8
An equation is shown: a×b=c. Let c be an irrational number. What can be said about a and b?
Please help
Answers
if c is a irrational number that means a or b is also an irrational number or both of them are irrational numbers but they are different then each other
i hope that will help
There are two possible answers:
'a' is irrational and b is rational, OR'a' is rational and b is irrationalYou can only pick one of those two cases. In short, exactly one of the 'a' or b is irrational and the other is rational. Both 'a' and b cannot be rational together, and they both cannot be irrational together.
================================================
Explanation:
For a moment, let's say that 'a' and b are both rational numbers. This means they would be ratios of integers. So,
a = p/q
b = r/s
where p,q,r,s are integers. The denominators q & s cannot be zero.
Multiplying those rational numbers 'a' and b leads to
a*b = (p/q)*(r/s) = (p*r)/(q*s)
We get a result in the form of integer/integer. Recall that multiplying any two integers leads to some other integer. Since (p*r)/(q*s) is a ratio of integers, it is rational and that makes a*b = c to be rational. However, your teacher said that c is irrational which is the opposite of rational.
In short, if both 'a' and b are rational, then a*b = c is rational. This means we know for certain that both 'a' and b cannot be both rational for c to be irrational.
------------------------
Next, we'll consider 'a' and b to both be irrational. Is it possible to have a*b = c to be irrational as well? It depends.
If we have the following
a = sqrt(3)
b = sqrt(12)
then,
a*b = sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6
Showing that a*b is rational because 6 = 6/1 is a ratio of integers. This is a bit strange considering how 'a' and b themselves were irrational, but they led to a rational product.
This doesn't always happen since something like
sqrt(3)*sqrt(5) = sqrt(3*5) = sqrt(15)
is irrational. So if both 'a' and b are irrational together, then a*b could be rational or it could be irrational. We would need more information about the values of 'a' and b.
Therefore, we know that we can rule out the case that 'a' and b are irrational together.
------------------------
Lastly, we'll consider the case when one of 'a' or b is rational while the other is irrational. The order doesn't matter. So we'll make 'a' to be irrational and b to be rational.
Since b is rational, this means b = p/q for some integers p,q where q is nonzero. The value of 'a' cannot be written as a ratio like this because it is irrational.
Multiplying any nonzero rational number with an irrational one always leads to an irrational result. If a*b was rational, then we could say
a*b = r/s
a*(p/q) = r/s
a = (r/s)*(q/p)
a = (r*q)/(s*p)
Showing that 'a' is rational, but this contradicts the fact we made 'a' to be irrational at the top of this section. Therefore, a*b is always irrational if exactly one of 'a' or b is irrational and the other is rational.
In other words, if,
'a' is rational and b is irrational, or'a' is irrational and b is rationalthen a*b = c is irrational
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
r = 4 cm
2.5 cm
3 cm
3 cm
[? ]%
Round to the nearest tenth of a percent.
PLEASE
Answers
Answer:
38.8%
Step-by-step explanation:
This is a very famous computer solution called the Monte Carlo Method. It's like throwing darts at an enlarged diagram. You will always be inside the circle.
The red triangle has an area = 1/2 h * b
The red triangle has an area = 1/2 * (2.5 + 4) * (3 + 3)
The red triangle area = 1/2 6.5 * 6
The red triangle area = 19.5
The area of the circle = pi * r^2
pi = 3.14
r = 4
The area of the circle = 3.14 * 4^2
The area of the circle = 50.24
% = (19.5/50.25) * 100
% = 38.8%
A circle with a diameter of 10 has its center in the first quadrant. The lines y = -3 and x = -1 are tangent to the circle. Write an equation of the circle.
Answers
Answer:
34
Step-by-step explanation:
Answer:
(h,k)=(-1,-3)
radius =10/2=5 unit
equation of the circle
(x-h)² +(y-k)²=r²
(x+1)²+(y+3)²=25 is a required equation..
a new school bought pencils for all of the classrooms. there are 7 pencils in each package, and each box of pencils contains 7 packages. Each classroom gets 4 boxes. How many pencils are there in 3 classrooms?
Answers
Answer:
588 pencils
Step-by-step explanation:
3 classroom times 4 boxes
12 boxes in total
12 boxes times 7
84 packages
7 pencils in each package
84 x 7
588 pencils
brainliest?
Question 12 (5 points)
Which statement represents the transitive property of equality?
OA) If m ZA= mB, then m
B) If x = y, then y = x.
OC) If WX = XY, then XY = WX.
OD) If WX = XY and XY = YZ, then WX = YZ.
Answers
Answer:
D) If WX = XY and XY = YZ, then WX = YZ.
Step-by-step explanation:
The transitive property states that if a=b and b=c, then a=c. So, if two different values equal to the same, separate value, then they are also congruent. The answer choice, d, represents this idea because WX and YZ both equal XY and are shown to be equal.
Answer:
OD) If WX = XY and XY = YZ, then WX = YZ.
Step-by-step explanation:I took the test
A researcher collected data on the speed of vehicles traveling through a construction zone on a state highway, where the posted speed limit was 25mph. The recorded speed of 20 randomly selected vehicles is given below: 2038243927402837293530313219331834213623 Calculate the sample mean, standard deviation, and the median of the above data. (Round to one decimal place
Answers
Answer:
[tex]\bar x =29.7[/tex]
[tex]\sigma = 6.81[/tex]
[tex]Median = 30.5[/tex]
Step-by-step explanation:
Given
[tex]Data:20,38,24,39,27,40,28,37,29,35,30,31,32,19,33,18,34,21,36,23[/tex]
[tex]n = 20[/tex]
Solving (a): The sample mean
This is calculated as:
[tex]\bar x =\frac{\sum x}{n}[/tex]
[tex]\bar x =\frac{20+38+24+39+27+40+28+37+29+35+30+31+32+19+33+18+34+21+36+23}{20}[/tex]
[tex]\bar x =\frac{594}{20}[/tex]
[tex]\bar x =29.7[/tex]
Solving (b): The standard deviation
This is calculated as;
[tex]\sigma = \sqrt{\frac{\sum(x-\bar x)^2}{n}}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{928.2}{20}}[/tex]
[tex]\sigma = \sqrt{46.41}[/tex]
[tex]\sigma = 6.81[/tex]
Solving (c): The median
First, sort the data in ascending order
[tex]Sorted:18,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40[/tex]
The position of the median is calculated as:
[tex]Median = \frac{n+1}{2}[/tex]
[tex]Median = \frac{20+1}{2}[/tex]
[tex]Median = \frac{21}{2}[/tex]
[tex]Median = 10.5th[/tex]
The 10.5th item represents the mean of the 10th and 11th item.
So, median is:
[tex]Median = \frac{30+31}{2}[/tex]
[tex]Median = \frac{61}{2}[/tex]
[tex]Median = 30.5[/tex]
plzzzzzzzzzzzzzzzzzzzzzzzzz help me this is a grade
Answers
Answer:
1.83
Step-by-step explanation:
Answer:
I'm not good with models and modeling but the answer will be 1.83.
NO WEBSITES ALLOWED (especially bitly)
Answers
Answer:
top right is an acute angle the top left is an obtuse angle and the bottom right is a right angle and I'm not to sure what the bottom right is
Answer:
Bottom right is a right
Step-by-step explanation:
and since it has no matching sides it would be a Isosceles
What is the area of a circle with a radius of 6 inches?
Help asap
Answers
We know that,
→ Area of circle = πr²
→ Area of circle = π × (6)²
→ Area of circle = π × 36
→ Area of circle = 36π
Option C is correct.What is the area of a circle with a radius of 6 inches?
Answer:-We know,
Formula of Area of circle is πr²Radius = 6 inches (Given)
So, Area of circle = π(6)² = 36π in²
The area of a circle with a radius of 6 inches is 36π in².
Hence, option (c) 36π in² is correct. [Answer]
[tex] \bf Hope \: it \: helps \: you [/tex] .Solve: 16 + x = 12 then you can get the brainiest.
Answers
What’s the correct answer for question?
Answers
Answer:
The answer is 0
Step-by-step explanation:
Since any number squared by zero is 1 then x^0 is 1 and since -1^4 is -1 that gives you -1+1=0
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
<GFD and <EFI
Step-by-step explanation:
<GFI and <GFD are supplementary angles.
<GFD and <EFI are vertical angles.
<JIF and <JIK are supplementary angles.
<JIF and <EFI are alternate interior angles.
its b i took a test .
Answers
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answers
given
[tex]y = - 67.9x + 679[/tex]
Substitute x into equation to find y.
[tex]y = - 67.9(2) + 679 \\ = - 135.8 + 679 \\ = 543.2miles[/tex]
x + 2 1/2 = 10 what does x equal
Answers
Answer:
x = 7 1/2
Step-by-step explanation:
x + 2 1/2 = 10
subtract 2 1/2 from both sides of the equation:
x = 7 1/2
Answer:
x=15/2
Step-by-step explanation:
x+2 1/2=10
x+2×2+1/2=10
x+4+1/2=10
x+5/2=10
x=10-5/2
x=15/2
decimal form: 7.5