1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
N76 [4]
3 years ago
5

Kevin operates a movie theater that sells about 800 tickets per day for $8 each. Kevin predicts that for each $0.50 increase in

the ticket price, 40 fewer tickets will be sold. Let x represent the number of $0.50 price increases and f(x) represent the total earnings from ticket sales.
f(x)=-20x^2+80x+6400


Kevin wants to determine the best potential earnings from ticket sales each day.


Complete the following statement for this situation.


The function reveals that the (minimum or maximum) earnings from ticket sales will be (320,6400,6480 or 720$) after(6,8,4 or 2) $0.50 price increases.
Mathematics
1 answer:
dmitriy555 [2]3 years ago
3 0

Answer:

The function reveals that the maximum earning from ticket sales will be $6480 after 2 ($0.50) price increases

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = -20x² + 80x + 6400 represents the total

 earnings from ticket sales and x represents the number of $0.50

 price increases

∵ f(x) is a quadratic function

∵ The coefficient of x² is -20

∴ The function has a maximum value

- The vertex of the quadratic function f(x) = ax² + bx + c is (h , k),

 where h = -b/2a and k = f(h)

* Lets find the maximum point of f(x)

∵ a = -20 , b = 80

∵ h = -b/2a

∴ h = -(80)/2(-20) = -80/-40 = 2

∵ k = f(h) and h = 2

∴ f(2) = -20(2)² + 80 (2) + 6400

∴ f(2) = -80 + 160 + 6400

∴ f(2) = 6480

∴ k = 6480

* The function reveals that the maximum earning from ticket sales

  will be $6480 after 2 ($0.50) price increases

You might be interested in
Carlos dropped the phone he had received for his birthday and broke the screen. He knows he has to pay for the replacement himse
kiruha [24]

Answer:

????????????????

Step-by-step explanation:

what's the question

7 0
3 years ago
Circumference of the cylinder a cylinder of the base with the diameter of 6cm and height of 12cm
yuradex [85]

Answer:

To find the volume, we must find the area of the circle and multiply it by its height, think of a cylinder as an object made up of MANY circles. So, V=pir^2h... so diameter is 6cm so radius = 3cm...

therefore, Volume = (pi)(3^2)(12) = 108(pi)

where 12 = height 3 = radius

For the surface area, we need to find the area of the 2 circles(top and bottom ) so once again,

2(pi)(r^2) = 2(pi)(9)

for the area of the rectangle(if we unfold the cylindrical can) we get D(pi)(12) where D= Diameter

so the surface area is

SA = (2)(9)(pi) + 6(pi)(12)

SA = 18pi + 72pi = 90pi

7 0
2 years ago
Read 2 more answers
Choose the problem modeled by the picture.
tekilochka [14]

Answer:

  B) 1/4 × 3/6 = 3/24

Step-by-step explanation:

1/4 of the rectangles are colored blue(ish).

3/6 of the rectangles are colored yellow(ish).

The colors overlap in 3/24 of the rectangles.

The problem statement with these numbers in it is that of choice B.

3 0
3 years ago
The chart shows the number of band members in each age group for the school band. Which histogram correctly shows the data in th
tino4ka555 [31]

Answer:the first one on the left, where 8 and under is at the 45 players, non of the others match up

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A survey by the Pew Research Center asked a random sample of 2142 U.S. adults and a random sample of 1055 college presidents how
gayaneshka [121]

Answer: 0.0125

Step-by-step explanation:

Given :  A survey by the Pew Research Center asked a random sample of 2142 U.S. adults and a random sample of 1055 college presidents how they would "rate the job the higher education system is doing in providing value for the money.

5% the U.S. adults and 17% of the college presidents provided a rating of "Excellent."

i.e. n_1=2142,\ n_2=1055

p_1=0.05 , p_2=0.17

The standard error of the difference in sample proportions  :-

\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}

=\sqrt{\dfrac{0.05(1-0.05)}{2142}+\dfrac{0.17(1-0.17)}{1055}}\\\\=0.0124867775151\approx0.0125

Hence, the standard error of the difference in sample proportion = 0.0125

5 0
3 years ago
Other questions:
  • Find the area of a rectangle 4/5 by 2
    15·1 answer
  • Line segment AB is dilated to create line segment A’B’ using point Q as the center of dilation what is the scale factor
    10·1 answer
  • Which of the numbers below could be terms in the sequence an=4n-7 A)29 B)21 C)20 D)28
    11·1 answer
  • Any help would be great
    15·1 answer
  • 5 days = ? hours <br> Can you please show work so i can understand better?
    14·2 answers
  • All of the following equations are equivalent except? -5 (x - 1 ), -5x + 5, 5 - 5x, (5-5) x
    8·1 answer
  • The perimeter of a square is 109.8 square inches. what is the length of one square? A 2.74 in B 10.98 in C 25 in D 27.45 in
    6·2 answers
  • Can you help me please ​
    8·1 answer
  • (-2 , -8) 3 units left and 5 units up
    10·1 answer
  • 1: Triple the quantity of a number “n” plus 4 equals 27. what would the expression look like?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!