A community theater uses the function p(d)= -5d²+300d -200 to model the profit (in dollars) expected in a weekend when the tickets to a comedy show are priced at d dollars each: Part A: Write and solve an equation to find out the prices at which the theater would earn $2,300 in profit from the comedy show each weekend. Show your reasoning Part B: At what price would the theater make the maximum profit. and what is that maximum profit? Show your reasoning.​

Answers

Answer 1

Answer:

A. $66.33B. $4300

Step-by-step explanation:

Given function:

p(d)= -5d² + 300d - 200 Part A

p(d) = 2300, find d:

2300 = -5d² + 300d - 200 5d² - 300d + 200 - 2300 = 05d² - 300d - 2100 = 0d² - 60d - 420 = 0d²- 2*30d + 900 = 1320(d - 30)² = 1320d- 30 = √1320d = 30 + 36.33d = 66.33 Part B

Maximum point of the function is obtained at vertex, which is (x = -b/2a):

d = - 300/-10 = 30

The maximum profit is:

p(30) = -5(30)² + 300(30) - 200 = 4300

Related Questions

PLEASE HELP ME ASAP
PLEASE HELP ME ASAP
PLEASE HELP ME ASAP​

Answers

Hello, I Am BrotherEye

Answer: The Logical Answer Is X√6y

Step-by-step explanation:

Answer Completed Using an Graphing Calculator

Best Of Luck

~

BrotherEye

Answer:

is 6

Step-by-step explanation:

Respuesta de estas ecuaciones (Los "{ }" y "[ ]" son "( )" simplemente estan asi para poder diferenciarlos A) [-3+(6-8)]-[40+(5.3-7)+20.2]= B)-4+[-2.6-1-(-3.4)]+(-5).(-3)+(-10)= C)-22.{-5+[8.3-(3.6-9)]}-(-2).(3)= D)-9-(-2+5).[-3+(-5)-(+2)+1]= E)40.{-12.[4+(-6).(-5)-15.3+12]}-2= F)-21.{-[-6.(7-3)]-(7.6-8.3)}-89=

Answers

Answer:

[tex]A)\ [-3+ (6-8)] - [40+ (5.3-7) +20.2] = -63.5[/tex]

[tex]B)\ -4 + [- 2.6-1 - (- 3.4)] + (- 5) * (- 3) + (- 10) =0.8[/tex]

[tex]C)\ -22 * \{- 5+ [8.3- (3.6-9)]\} - (- 2) * (3) =-185.4[/tex]

[tex]D)\ -9 - (- 2 + 5) * [- 3 + (- 5) - (+ 2) +1] =18[/tex]

[tex]E)\ 40 * \{- 12 * [4 + (- 6) * (- 5) -15.3 + 12]\} - 2 =-14738[/tex]

[tex]F) -21 * \{- [- 6 * (7-3)] - (7.6-8.3)\} - 89 =-607.7[/tex]

Step-by-step explanation:

[tex]A)\ [-3+ (6-8)] - [40+ (5.3-7) +20.2] =[/tex]

Resuelve todas las expresiones en el paréntesis interior

[tex][-3-2] - [40 -1.7 + 20.2][/tex]

Resuelve cada paréntesis

[tex]-5 - 58.5[/tex]

[tex]-63.5[/tex]

[tex]B)\ -4 + [- 2.6-1 - (- 3.4)] + (- 5) * (- 3) + (- 10) =[/tex]

Resuelve todas las expresiones en el paréntesis interior

[tex]-4 + [-0.2] + (- 5) * (- 3) + (- 10)[/tex]

Resuelve todas las multiplicaciones y paréntesis.

[tex]-4 -0.2 + 15-10[/tex]

[tex]=0.8[/tex]

[tex]C)\ -22 * \{- 5+ [8.3- (3.6-9)]\} - (- 2) * (3) =[/tex]

Resuelve todas las expresiones en el paréntesis interior

[tex]-22 * \{- 5+ [8.3 + 5.4]\} - (- 2). (3)[/tex]

Resuelve todas las multiplicaciones y paréntesis.

[tex]-22 * 8.7 +6[/tex]

[tex]-191.4 + 6[/tex]

[tex]=-185.4[/tex]

[tex]D)\ -9 - (- 2 + 5) * [- 3 + (- 5) - (+ 2) +1] =[/tex]

Resuelve todas las expresiones entre paréntesis interiores

[tex]-9 - 3 * [- 3 - 5 - 2 +1][/tex]

[tex]-9-3 * -9[/tex]

[tex]-9 + 27[/tex]

[tex]= 18[/tex]

[tex]E)\ 40 * \{- 12 * [4 + (- 6) * (- 5) -15.3 + 12]\} - 2 =[/tex]

Resuelve todas las expresiones entre paréntesis interiores

[tex]40 * \{- 12 * [4 - 6 * - 5-15,3 + 12]\} - 2[/tex]

Multiplicar -6 por -5

[tex]40 * \{- 12 * [4 + 30-15.3 + 12]\} - 2[/tex]

Resuelve todas las expresiones en el paréntesis interior

[tex]40 *\{- 12 * 30.7\} - 2[/tex]

Quitar todos los paréntesis

[tex]40 * -368.4 - 2[/tex]

[tex]-14736 - 2 \\[/tex]

[tex]=-14738[/tex]

[tex]F) -21 * \{- [- 6 * (7-3)] - (7.6-8.3)\} - 89 =[/tex]

Resuelve todas las expresiones entre paréntesis interiores

[tex]-21 * \{- [- 6 * 4] +0.7\} - 89[/tex]

Multiplicar -6 por 4

[tex]-21 * \{24 +0.7\} - 89[/tex]

Quitar todos los corchetes

[tex]-21 * 24.7 - 89[/tex]

[tex]-518.7 - 89[/tex]

[tex]=-607.7[/tex]

Pls help me find triangle MNP

Answers

6x-56=3x-17 *simplify*

3x=39
x=13

To find TP plug in x
3(13)-17=22

TP=TN so TN is also 22

Justify each step and explain your reasoning.
3(4x+6)=x-4

Answers

Answer:

x = −2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(4x+6)=x−4

(3)(4x)+(3)(6)=x+−4(Distribute)

12x+18=x+−4

12x+18=x−4

Step 2: Subtract x from both sides.

12x+18−x=x−4−x

11x+18=−4

Step 3: Subtract 18 from both sides.

11x+18−18=−4−18

11x=−22

Step 4: Divide both sides by 11.

[tex]\frac{11x}{11}[/tex] = [tex]\frac{-22}{11}[/tex]

x = −2

4=2/9x A) 6 B) 9 C) 15 D) 18

Answers

Answer:

D. 18

Step-by-step explanation:

multiply both sides by 9/2, the reciprocal of 2/9.

4×(9/2)=x

express 4×(9/2) as a single fraction.

4×9/2=x

multiply 4 and 9 to get 36.

36/2=x

divide 36 by 2 to get 18.

18=x

swap sides so that all variable terms are on the left hand side.

x=18

Answer:

D 18

Step-by-step explanation:

you devide 4 by 2/9 and get your answer

A school has 1200 students 1/3 are in the upper school. 2/5 in the middle school and the remainder in lower school. How many students are in lower school?

Answers

Answer:

257 students in the lower school

Step-by-step explanation:

you want to make the fractions have an equal denominator so make 1/3 5/15s and 2/5 to 6/15's, 5+6= 11/15s that leaves 4/15's for the lower part of the school

4 divided by 15 is 4.6 repeating so divide 1200 by 4.66 and boom

Sam picked 48 oranges in 5 minutes. How many oranges could she pick in 2 minutes?

Answers

Step-by-step explanation:

48 oranges in 5 minutes means she picked 48 oranges in 300 seconds.

Divide 48 by 300 to get what she would pick in one second.

This equals 0.16

Multiply 0.16 by 120 seconds [how many seconds are in two minutes].

This equals 19.2 oranges in two minutes. As she cannot pick 0.2 of an orange, she could pick 19.

find the value of given expression

[tex] \sqrt{56 - 7} [/tex]

Answers

Answer:

± 7

Step-by-step explanation:

Given

[tex]\sqrt{56-7}[/tex]

= [tex]\sqrt{49}[/tex]

= + 7 or - 7 , that is ± 7

Answer:

±7

Step-by-step explanation:

56 - 57

______

gives you 49

which then turns into ±7

⇒⇒⇒Hope this helps!

find the value of given expression

[tex] \sqrt{1221 \times 1221} [/tex]

Answers

Answer:

[tex]1221\sqrt{x}[/tex]

Step-by-step explanation:

1221 x 1221 = 1490841

square root of 1490841 is 1221

Answer:

[tex]1221[/tex]

Step-by-step explanation:

[tex] \sqrt{1221 \times 1221} \\ = 1221[/tex]

True or false: Every sequence is either arithmetic or geometric. If this is true, explain. If false, give a counterexample to illustrate.​

Answers

Answer:

No false

Step-by-step explanation:

Theres the fibonacci sequance 1,1,2,3,5,8...

Janice and her cousin Linda are a little competitive about the relative merits of their home towns. One contest they had was to determine who had more rainy days. They found weather records on the internet and each of them randomly selected 60 days from the past 5 years. Janice found that there had been measurable rainfall on 17 of the 60 days she selected for Asheville, and Linda found that there had been measurable rainfall on 12 of the 60 days she selected for Lincoln. They intend to perform a test of significance on their data, using the hypotheses When calculating the test statistic, what expression would they use to estimate the standard deviation of the sampling distribution of the difference in proportions,

Answers

Answer:

Following are the equation to this question:

Step-by-step explanation:

[tex]\to \frac{\sqrt{(.24)(.76)}}{60} + \frac{(.24)(.76)}{60}\\\\\to \frac{\sqrt{0.1824}}{60} + \frac{0.1824}{60}\\\\\to \frac{0.42708313}{60} + \frac{0.1824}{60}\\\\\to \frac{0.42708313+0.1824}{60} \\\\\to \frac{0.60948313}{60} \\\\\to 0.0101580522[/tex]

what is the area of the following shape​

Answers

Answer:

23

Step-by-step explanation:

if you break this shape into 2 shapes it will be easier to solve

The circumference of a circular pond in the park is 120 meters. Find the area.

The formula for circumference is C = d.

What is the value of the diameter rounded to the nearest whole number?

Answers

Answer:

38.21 in

Step-by-step explanation:

Given data

C= 120meters

We also know that circumference

C=2πr

Substitute

120=2*3.142*r

120= 6.28r

r= 120/6.28

r= 19.10 m

Hence the diamter D

D= r*2

D= 38.21 in

Answer:

1 2 1

Step-by-step explanation:

A B A

Find the selling price of each item.
Original price of a comic book: $1.50
Discount: 20%

Answers

1.20$ is your answer
change 20% to 0.2
1.50 x 0.2 = 0.3
the price with the discount is $1.2

Find the Volume (nearest integer):*

Answers

Answer:

the correct answer is 4) 1692

Plz help me Find the indicated information

Answers

That is a virus do not go to it

Please help! 19/20. Will give brainliest! Spam answers will not be tolerated! Giving quadruple points!
Factor. x²(x + 2) ‐ x(x + 2) ‐ 12(x + 2)

Answers

Answer:

(x + 2)(x - 4)(x + 3)

Step-by-step explanation:

x²(x + 2) ‐ x(x + 2) ‐ 12(x + 2) =(x + 2)(x² - x - 12) = (x + 2)(x² - 4x + 3x - 12) = (x + 2)(x - 4)(x + 3)

[tex]{ \sf{ factorise \: \: { \underline{ \green { \tt{ {x}^{2} (x + 2) - x(x + 2) - 12(x + 2)}}}}}}[/tex]

[tex]{ \sf{ \blue{ \:taking \: (x + 2) \: common}}} \\ \\{ \dashrightarrow { \sf{ \green{(x + 2)( {x}^{2} - x - 12)}}}}[/tex]

[tex]{ \dashrightarrow{ \sf{ \green{(x + 2)( {x}^{2} - (4x - 3x) - 12)}}}} \\ \\ { \dashrightarrow{ \sf{ \green{(x + 2)( {x}^{2} - 4x + 3x - 12)}}}}[/tex]

[tex]{ \dashrightarrow{ \green{ \sf{(x + 2)(x(x - 4) + 3(x - 4))}}}} \\ \\ { \dashrightarrow{ \underline{ \boxed{ \green{ \sf{(x + 2)(x + 3)(x - 4)}}}}}}[/tex]

A 15 ft tall tree with shadow of 25 ft, What is the length from end of shadow to top of tree?

Answers

Answer: A 29.2

Step-by-step explanation:

Answer:

The answer is 29.155, rounded to 29.2! Good luck!

Solve one of the above questions to be marked as Brainliest
Plz nb 1, 2,3,4 especially

Answers

Answer:

Here's what I think I know:

1) the Voltage and the Resistance

2) Watts = Amps x Volts

so: 6 watts = A x 12, A = 0.5

Volts = Amps x Resistance

12 = 0.5 x R

R = 24 ohms

3) From step 2, A = 0.5 amps

4) since this is a series circuit, Re = Rh + 24

Step-by-step explanation:

3

=
10
q

start fraction, 3, divided by, 5, end fraction, equals, start fraction, q, divided by, 10, end fraction
q =q=q, equals

Answers

What are you asking I’m lost

I'm honestly sorry that I'm asking so many questions.
Solve for X in the Diagram.

Answers

Answer:

[tex]\Huge\boxed{x=8}[/tex]

Step-by-step explanation:

Hello There!

Remember the sum of all of the angles in a triangle is 180

so we can use this equation to solve for x

180 = 50 + 60 + 8x + 6

now we solve for x

step 1 combine like terms

50 + 60 + 6 = 116

now we have

180=8x+116

step 2 subtract 116 from each side

116 - 116 cancels out

180 - 116  = 64

now we have

8x = 64

step 3 divide each side by 8

8x/8=x

64/8=8

we're left with x = 8

Which pair of equations below is a result of constructing the altitude, h, in Triangle ABC?


sinA= h/c

sinC= h/a


sinA= h/c

sinB= b/c


sinA= b/c

sinC= b/a


sinA= h/a

sinB= b/a


40 points!!!

Answers

Answer:

a

Step-by-step explanation:

Bc i just did on edge

The pair of equations below is a result of constructing the altitude, h, in Triangle ABC is A; sin C = h/a and sin A = h/c.

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We know:

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}[/tex]

So from the attached figure;

sin C = h/a

sin A = h/c

These expressions have an h term in common. We can combine them if we can find forms of the expressions in terms;

h = a (sin C)

h = c (sin A)

Thus, option A is correct pair.

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ2

please help me simplify this​

Answers

Step-by-step explanation:

Given

sin(α+β) cos(α-β) +cos(α+β) sin(α -β)

We can see it is in the formula of

sin(A + B) = sinA cosB + cosA sinB

So now

Sin ( α + β + α - β)

= sin 2α

Or we can write sin2α as

= 2 sin α * cos α

Hope it will help :)❤

The new location for a park needs to be exactly 5 miles from the school. When plotted on the coordinate plane, the school is located at (3, 3). Use the Pythagorean theorem to determine two possible locations on the coordinate plane for the park. (–3, –3) (–1, 0) (0, 0) (6, –1) (6, 6)

Answers

Answer:

the answer is --1, 0 and 6, -1

Step-by-step explanation:

your welcome :) have a good day!

Answer:

B and D

Step-by-step explanation:

I took the test edg 2022 ur welcome

Please help....im timed.....

Answers

Answer:

56 large envelopes

Step-by-step explanation:

what strategy can be used to transform a quadratic function in vertex form to standard form

Answers

Hello, I Am BrotherEye

Answer:

This Transparent inquisition can be solved Below

Use transformations to graph a quadratic function in vertex form. A quadratic function in standard form, f(x) = ax² + bx + c, can be changed into vertex form by completing the square. The vertex form of a quadratic function is f(x) = a(x – 5)2 + k, where the vertex of the function is (h, k).

Step-by-step explanation:

Vertex form to standard form converter

Write the parabola equation in the vertex form: y = a*(x-h)² + k ;

Expand the expression in the bracket: y = a*(x² - 2*h*x + h²) + k ;

Multiply the terms in the parenthesis by a : y = a*x² - 2*a*h*x + a*h² + k ;

Best Of Luck

~

BrotherEye

273-8255 call for 300 points

Answers

Answer:

Step-by-step explanation:

Uhhh

Answer:

thats like saying 1st one to call 911 gets buddy bucks

Step-by-step explanation:

4x – 5 = 2(2x + 1) Please help plss

Answers

Answer:

0=7

Step-by-step explanation:

Distribute

4−5=2(2+1)

4−5=4+2

Add 5 to both sides of the equation

4 − 5 = 4 + 2

4 − 5 + 5 = 4 + 2 + 5

Simplify Add the numbers

Add the numbers

4 = 4 + 7

Result

0=7

need help here pleaseeee

Answers

Y= 1/2x is the correct answer

hello, last question about this assignment. please answer asap if you can and show work. thanks

Answers

Answer:

52 in^2

Step-by-step explanation:

If the diameter = 3 in, then the radius = 1.5 in.

To find the surface area, you need to find the area of the two circle areas (the base and the top of the cylinder) and the "sides" of the cylinder. If you look at the net shape of a cylinder, look at the picture below. That middle region aka the "side" of the cylinder is actually a rectangle. The length of the rectangle is also the circumference of the circle and the width is also the height of the can.

So:

2 * Area of the circle + rectangle = total surface area of the can

= 2(πr^2) + 2πrh

= 2π(1.5^2) + 2π(1.5)(4)

= 2π(2.25) + 12π

= 4.5π + 12π

= 16.5π

≈ 51.8

52 in^2

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