the manager of a symphony computes that the symphony will earn -40p^2+1100p dollars per concert if they charge P dollars for tickets. what ticket price should the symphony charge in order to maximize its profits?

Answers

Answer 1

Answer:

$7,562.5

Step-by-step explanation:

Given the function of the profit earned expressed as;

f(p) =-40p^2+1100p

To maximize the profit, df(p)/dp must be sero

df(p)/dp = -80p + 1100 = 0

-80p + 1100 = 0

-80p = - 1100

p = 1100/80

p = 13.75

Substitute p = 13.75 into the function

f(13.75) =-40(13.75)^2+1100(13.75)

f(13.75) = -7,562.5+15,125

f(13.75) = 7,562.5

Hence the symphony should charge $7,562.5 to maximize the profit.


Related Questions

Please help will give 20 points

Answers

Answer:

not sure but i think its B

Can anybody help me with these two !
Don’t answer if you do not know please
I’ll mark you as a brainliest:) .

Answers

Answer:

Step-by-step explanation:

a) Since we know that y=x^3, we can plug the values in

They would be: (-2)^3, (-1)^3, (0)^3, (1)^3, and 2^(3)

Which would be -8, -1, 0, 1, and 8

b) since we know that y=x, we can plug the values in

They would be -2, -1, 0, 1, and 2 because x = y

Hope this helps! :)

Answer:

y=x^3     -2,-8, -1,-1   0,0   1,1   2,8

y=x  -2,-2    -1,-1   0,0   1,1  2,2

Step-by-step explanation:

solve. -0.63 ÷ -0.7 = ill give brainiest

Answers

Answer:

0.9

Step-by-step explanation:

plz brainliest

Answer:

0.9

Step-by-step explanation:

Which term best describes the graph of y = x - 1

A. Increasing
B. Decreasing
C. Constant
D. Positive

Answers

A (it’s a slight increase)
if you have a TI-84 calculator you could solve this problem in seconds.

pls i need help with the attachment its my hw

Answers

Answer:

C

Step-by-step explanation:

It has to be c by process of elimination the circle has to be filled in and on the #5 and as you can see the only one was C

Answer:

D

Step-by-step explanation:

Solving the inequality

2x + 3 ≤ 5 ( subtract 3 from both sides )

2x ≤ 2 ( divide both sides by 2 )

x ≤ 1

The required number line will have a solid circle at x = 1 and the arrow will be going left.

The only graph with these conditions is D

WILL GIVE BRAINLIEST! In the figure, a∥b and m∠1 = 34°.

What is the m∠5?

Enter your answer in the box.

°

Severely slanted line c diagonally crossing parallel lines a and b (reading from top to bottom). Angles formed by c crossing a are labeled one through four, starting at top right and going counterclockwise, where angle one is acute. Angles formed by c crossing b are labeled five through eight, starting at top right and going counterclockwise.







PLEASE HELP ASAP...
WILL GIVE BRAINLIEST

Answers

Answer:

34 degrees

Step-by-step explanation:

Carrie got a $65 gift certificate. She plans to buy a $12 rose bush and as many seed packets as she can for $1.79 each. Which of these inequalities shows x, the number of seed packets she can buy?

Answers

Answer:

she can buy the rose bush and 29 packets of seeds. So i think X= 29

Step-by-step explanation:

What is the value of 8(3 + x) when x = 7?

Answers

Answer:

80

Step-by-step explanation:

8(3+7)=80

HELLPP PWEASEEEE :( im confused

Answers

Answer:

18 seconds

Step-by-step explanation:

according to the question

-16t²+5184=0 (0 because when the height is 0 the ball will hit the ground)

-16t²=-5184

t²=-5184/-16

t²=324

t=√324

t=18

Find the original price of a pair of gloves that is $16 after a 20% discount.

Answers

Step-by-step explanation:

16 = 20% to get to 80% we need to times by 4 so it adds up to 100%

64=80%

the orginal price was 64 dollars


The quotient x divide 5 is a negative integer. Name two
integers that x could represent and find the quotients

Answers

Answer:

Herk in a boo

Step-by-step explanation:

Hiii I need help guysss tyyy and also need to plot points TYSM

Answers

Answer:

6x+10

Step-by-step explanation:

6 left and go up 10 and thats the point

Use the Distributive Property and write the sum of the number as the product of the GCF.
30 + 12

Answers

Answer:

1,2,3 and 6 is the answer

Find the inverse f(x) = 4 – 9x​

Answers

Answer:

[tex]-\frac{x-4}{9}[/tex]

Step-by-step explanation:

Replace x with f(x)

solve for f(x)

Please help me thankss

Answers

Answer:

1/2

Step-by-step explanation:

you can find the ratio by doing 12 / 6 and you will get 2 then you dump a 1 over the 2 to get 1/2 that's not how it works in all tho

Answer:

1:1

Step-by-step explanation:

if the rule was 1:2 then they would have won 4 games so its 1:1

A 9-kilogram bag of cement costs $36.36. What is the unit price?
per kilogram

Answers

Answer:

$4.04 per kilogram of cement.

Step-by-step explanation:

36.36/9 = 4.04

This is 20 pts. Please help. I need help on my homework due tomorrow...here are the questions and please show how to work out the problems:
1. Convert 101 with an exponent of 2 to base 10
2. Convert 2A3 with an exponent of 16 to base 10
3. Covert 173 to base 3
4. Convert 177 to base 16

Answers

Answer:

1) 10^2 + 1

2) ?

3) 2(3^3) + 11

4) 16^2 - 79

Step-by-step explanation:

1) 101 = 100 +1 = 10^2 +1

2) ?

3) 173 = 81+81+11 = 3^3+3^3+11 = 2(3^3) +11

4) 177=256-79 = 16^2 -79

Pls mark Brainiest :)

Which of the following is an even function?
f(x) = x1
Of(x) = x2 - 1
Of(x) = -3x
O Rx) = 3/8

Answers

Answer:

[tex]f(x) = x^{2} - 1[/tex]

Step-by-step explanation:

The definition of even function is: [tex]f(x) = f(-x)[/tex]

I am going to assume the  second option is [tex]f(x) = x^{2} - 1[/tex] and the answer.

[tex]f(x) = x^{2} - 1\\f(-x) = (-x)^{2} - 1 = x^{2}-1[/tex]

Write a ratio and a percent for the shaded area.


3/10, 27%
1/2, 50%
1/3, 33.33%
3/10, 30%

PLEASE HELP ME IVE BEEN STUCK BECAUSE I THOUGHT THAT 12/60 WAS 1/5 SIMPLIFIED??

Answers

Answer:

1/3, 33.33%

Step-by-step explanation:

The full square is 6x6 which means there are 36 tiles in total. The shaded area is 3x4 which is 12. 12/36 is 1/3 simplified or 33.33%.

Answer:

1/3 and 33.33℅

Step-by-step explanation:

total number of rectangles is 36 and the shaded are 12

so 12/36 =1/3

1/3= 0.3333

to change to percent we multiply by 100

0.3333×100℅ = 33.33℅

work out the value of angle x.
and give a reason for your answer.

pls help!

Answers

Answer:

60°

Step-by-step explanation:

Since, all sides of the given triangle are marked with identical signs.

So, measures of all sides are equal.

Therefore, it is an equilateral triangle.

Measure of each angle of an equilateral triangle is 60°.

So, x = 60° ( Alternate angles)

5. Which expression is equivalent to (2p + 4)(2p – 4)?
A 4p2 + 16p – 16
B (2p)2 – 2(2)(4) + 42
C 2p2 – 42
D (2p)2 – 42

Answers

Answer:

[tex] {4p}^{2} - 16 [/tex]

I think I'm wrong or you're wrong.

I don't know but hope it's helpful ❤❤❤

THANK YOU.

If the principle is $4,000 and the rate of interest is 8% (simple interest), what is the amount of interest after one year?

Answers

Answer: $320

Step-by-step explanation:

A principal of $4,000 was invested.

The principal increases at a rate of 8% every year by simple interest.

After 1 year the total in the account can be calculated by the formula:

= Principal * ( 1 + rate * time)

= 4,000 * ( 1 + 8% * 1)

= $4,320

Interest:

= Amount after a year - original price

= 4,320 - 4,000

= $320

Write an exponential function in the form y=ab^x that goes through points (0,9) and (3, 576)

Answers

Answer:

An exponential function in the form y=9(4ˣ)

Step-by-step explanation:

Step(i):-

Given that exponential function

                  y = a bˣ ...(i)

The equation (i) passes through the point (0,9)

               9 = a (b )⁰ = a

             a =9

Step(ii):-

The equation (i) passes through the point (3,576)

            576 = 9(b)³

         ⇒    [tex]\frac{576}{9} = b^{3}[/tex]

      ⇒     64 = b³

     ⇒     4³ = b³

             [tex](4^{3} )^{\frac{1}{3} } = (b^{3} )^{\frac{1}{3} }[/tex]

             b = 4

Final answer:-

An exponential function in the form y=abˣ

An exponential function in the form y=9(4ˣ)

 

question is in picture ​

Answers

Answer:

6

Step-by-step explanation:

the first thing I did to smome but you know 5AM was a l

BRAINLIEST IF RIGHT!​

Answers

good good why I cant pemskananswjjaansjajaja

Rachel has 2/3 pound of snack mix. She eats 5/12 of the snack mix. How much of the snack mix did Rachel eat?

Answers

Answer: Racheal ate [tex]\dfrac{5}{18}[/tex] of the snack mix.

Step-by-step explanation:

Given : Rachel has [tex]\dfrac23[/tex] pound of snack mix..

If she ate [tex]\dfrac5{12}[/tex] of the snack mix.

Then, Quantity of snack mix eaten by Rachel = [tex]\dfrac5{12}\times\dfrac23[/tex]

[tex]=\dfrac56\times\dfrac13\\\\=\dfrac{5}{18}[/tex]

Hence, Racheal ate [tex]\dfrac{5}{18}[/tex] of the snack mix.

An airplane descends 1.5 miles to an elevation of 6.05.Find the elevation of the plane befor its descent the intial elevation of the plane was blank miles

Answers

Answer:

7.55 miles

Step-by-step explanation:

Given that :

Distance of descent = 1.5 miles

New elevation point after descent = 6.05 miles

The initial elevation of the plane before descent will be :

New elevation point after descent + Distance of descent

(6.05 miles + 1.5 miles)

= 7.55 miles

PLZ HELP ASAP!!!!!!!!

Answers

Answer: 3:2

Step-by-step explanation:

the base ratio of unused tape to used tape is 24:16.

then we have to simplify,

both 16 and 24 can be divided by eight,

24 divided by eight is 3

16 divided by eight is 2

therefore, our simlpified ratio is 3:2

hope this helped! <3

brainliest. follow anything . box of chocolates contains seven milk chocolates and six dark chocolates. Five of the milk chocolates and four of the dark chocolates have peanuts inside. You randomly select a chocolate and eat it. What is the probability it is a dark chocolate with peanuts?
options=2/3, 4/13, 11/13 and 8/13

Answers

Answer: 4/13

Step-by-step explanation: There are a total of 13 chocolates, and 4 of those are dark chocolate with peanuts.

Probability that the chocolate you eat is a dark chocolate with peanuts is 4/13.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Total number of milk chocolates = 7

Total number of dark chocolates = 6

Number of milk chocolates that have peanuts inside = 5

Number of dark chocolates that have peanuts inside = 4

Total number of chocolates = 7 + 6 = 13

Probability that the randomly selected chocolate is a dark chocolate with peanuts = 4/13

Hence the required probability is 4/13.

To learn more about Probability, click :

https://brainly.com/question/18915036

#SPJ3

What is the unit rate for 21 3/4 and 2 1/2

Answers

Answer:

I think it is 19 1/4

Step-by-step explanation:

How I got this was I took 21 3/4 and subtracted 2 1/2 which gave me 19 1/4.

Hope this is right and helps.

I’m pretty sure it’s 19 1/4 but I’m not sure
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