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

simplify (x + 5) (x-5)

Answers

Answer:

(x+5)(x-5)

X²-5x+5x-25

X²-25

What is the answer for cos(43) = sin(?)

Answers

Answer:

Step-by-step explanation:

cos 43=cos (90-47)=sin 47

find the value of x..

Answers

Answer:

The answer is 116

Step-by-step explanation:

Because this shape is a quadrilateral, so the sum of the angles of a quadrilateral is a total of 360 degrees. So i added 90 + 90 + 64 = 244. And 360 - 244 = 116.

Answer:

116°

Step-by-step explanation:

There are 2 right angles so we add them:

1 right angle = 90°

2 right angle: 90° + 90° = 180°

As we can we have another value which is 64° so we add that as well:

180° + 64° = 244°

Since it is a 4-sided shape all the values will add up to 360°

Subtract 360 and 244

360° - 244° = 116°

x = 116°

Hope this helps

use the distributive property to remove the parentheses for this question?

-5 (4v - 2u - 3)

Answers

9514 1404 393

Answer:

  -20v +10u +15

Step-by-step explanation:

The factor outside parentheses multiplies each term inside parentheses.

  -5(4v -2u -3) = (-5)(4v) +(-5)(-2u) +(-5)(-3)

  = -20v +10u +15

The function C(x)=−15x+2304 represents the cost to produce x items. What is the least number of items that can be produced so that the average cost is no more than $33?

Answers

Answer:

152

Step-by-step explanation:

Given the function :

C(x)=−15x+2304

The least Number of items, x that can be produced so that average cost does not exceed $33

C(x) = less than or equal to 33

33 = - 15x + 2304

33 - 2304 = - 15x

-2271 = - 15x

x = 2271 / 15

x = 151. 4

Hence, the least number of items that can be produced is 152

Melanie invested $8,600 in an account paying an interest rate of 2\tfrac{7}{8}2 8 7 ​ % compounded monthly. Oliver invested $8,600 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 ​ % compounded daily. After 10 years, how much more money would Melanie have in her account than Oliver, to the nearest dollar?

Answers

Answer:

$139

Step-by-step explanation:

The formula for compound interest =

A = P(1 + r/n)^nt

Where

P = Principal

r = Interest rate

n = Compounding frequency

t = time in years

A = Amount after t years

For Melanie

Melanie invested $8,600 in an account paying an interest rate of 2 7/8% compounded monthly.

Rate = 2 7/8% = 23/8% = 2.875%

Time = 10 years

n = monthly = 12

First, convert R percent to r a decimal

r = R/100

r = 2.875%/100

r = 0.02875 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 8,600.00(1 + 0.02875/12)^(12)(10

A = 8,600.00(1 + 0.002395833)^(120)

A = $11,460.64

For Oliver

Oliver invested $8,600 in an account paying an interest rate of 2 3/4 ​ % compounded daily.

Rate = 2 3/4% = 11/4% = 2.75%

Time = 10 years

n = daily = 360 days

First, convert R percent to r a decimal

r = R/100

r = 1.375%/100

r = 0.01375 per year,

Then, solve our equation for A

First, convert R percent to r a decimal

r = R/100

r = 2.75%/100

r = 0.0275 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 8,600.00(1 + 0.0275/360)^(360)(10)

A = 8,600.00(1 + 7.6389E-5)^(3600)

A = $11,322.05

After 10 years, how much more money would Melanie have in her account than Oliver, to the nearest dollar?

This is calculated as

$11,460.64 - $11,322.05

=$ 138.59

Approximately to the nearest dollar = $139

Answer:

139

Step-by-step explanation:

it’s right

I need help ASAP with this please help

Answers

Answer:11/18, or  11 to 18.

Hey! We are studying about weather systems and she wanted to know for Saturday morning where the tornadoes would be in tennessee since there is a strong storm system coming. Marking brainliest!!!!! Sorry supposed to be for science!!!!

Answers

Answer: I think the tornadoes hit Alabama and there are just serevere thunderstorm at places like C h a t t a n o o g a or C l e v e l a n d.

The axis of symmetry for the graph of the function f(x) = 3x^2 + bx + 4 is x = 3/2 . What is the value of b?

Answers

Answer:

b = -9

Step-by-step explanation:

Axis of symmetry of a parabola = -b / 2a.

Where y = ax² + bx + c.

Given f(x) = 3x^2 + bx + 4,

a = 3, and c = 4.

If the axis of symmetry is 3/2, than b can be found by substitution and algebra.

[ x = -b / 2a ] → [ 3 / 2 = -b / 2a ] →

[ 3 / 2 = -b / 2 (3) ] → [ 3 / 2 = -b / 6 ] →

[ 3 / 2 × 6 = -b / 6 × 6 ] → [ 18 / 2 = -b ] →

[ 9 = -b ] → [ -b = 9 ] → [ (-)(-b) = (-)(9) ] →

b = -9

What date would be four months prior to January 31st?

No links, No free point's. Please just Fr answer.

1.Sept 20th

2.Sept 28th

3.Sept 30th

Which is the correct answer?

Answers

Answer:

sept 30

Step-by-step explanation:

Help please I don’t understand this at all whatsoever

Answers

Answer:

1. EFG= 90°

2.GDH=90/2=45°

3.FEG=90/2=45

4.DHG=90°

please help!! thank you

Answers

Answer: It would be E

Step-by-step explanation:

use the distributive property to write an expression that is equivalent, show your work.

4(x+8)=

Answers

4x+32= because you multiply the four by each number....you distribute it

Write the rational number in decimal form, rounded to
the thousandths: -1/3 =_____

Answers

-0.33 !!!!!!!!!!!!!!!!!!

Independent Practice


Simplify the expression. 6 7 −4 7


A.
2 72 square root of 7


B.
2


C.
− 10 7


D.
10 710 square root of 7

Answers

Answer:

A.

2 72 square root of 7

Step-by-step explanation:

Combine the fractions by finding a common denominator.

Exact Form:

2

7

Decimal Form:

0.

¯¯¯¯¯¯¯¯¯¯¯¯

285714

Simplify the expression.

Exact Form:

2

7

Decimal Form:

5.29150262

I need to find the sum of this equation please help :)

Answers

Answer:

i think

-17x^2 +3x

.....

Please help me quickly! During spring, every three days there is usually 1 rainy day. In a 30 day month, how many days would you expect to be rainy? _______ rainy days
____________________________________
On average, for every 15 points scored by his basketball team, Riley scores 4 of them. About how many points would you expect Riley to score in a game where his team had a final score of 90 points _________ points
____________________________________
Use a proportion to convert 32 fluid ounces to cups. [ hint: use the conversion factor fl oz = 1 c.] __________ cups
Thanks so much!​

Answers

Answer:

1. 10 rainy days

2. 24 points

3. 4 cups

Explanation:

Divide thirty by three to get ten rainy days.

Divide 15 by 90, then multiply the product by four to get 24 points.

divide the volume value by 8.

Mr. Powell has a box that weighs 16 pounds. What is the weight of this box in ounces? A. 1 oz. B. 16 oz. C. 64 oz. D. 256 oz.

Answers

Answer:

256oz

Step-by-step explanation:

D.

hope this helps have a nice day

Answer:

Option D) 256 oz.

Step-by-step explanation:

Passed the test on T4L 2023 :) Hope this helped

Find the area of the shaded sector

Answers

Answer:

Step-by-step explanation:

help please if woukd be greatly appreciated !!!

Answers

Answer: ok i don't know but you can copy and paste the question then search it in the search bar because i can guaranty that someone has asked that question before. and then all you got to do that and you can keep your points. hope this helps! ;)

Step-by-step explanation:

Is 8, 11.5, 8.5 a right triangle?

Answers

Answer:

Monkey says NO

Step-by-step explanation:

It was close, but banana was 1.7 banana short. sorry for your loss.

What is -5^-4 (my friend needs help)

Answers

Answer:

-0.0016

- 1/ 625

Step-by-step explanation:

Answer:

Step-by-step explanation:

-5 ^ - 4

= 1 / -5 ^ 4

= 1/625

hope it helps :)

Can someone help me please

Answers

Answer:

first draw a line that goes through (0,-5) and (1,-4) and then another one that goes through (3,-2) and (0,-1)

what is the reason these triangles are congruent
A. SSS
B. SAS
C. not congruent

Answers

Answer:

SAS because their is 2 lines and 1 lines

The answer is b. sad

And the second question asks

Are the systems of equations
equivalent?

Yes
No

Answers

137484-933838-bjssjjd

Darrin has 702 CDs in his collection Dana has 367 CDs and her collection how many more CDs does Darrin have more than dana

Answers

Darrin got 335 more cds. 702-367=335

find the value of given expression

[tex] \sqrt{62500} [/tex]

Answers

Answer:

250 is the answers for the question

Step-by-step explanation:

please give me brainlest

Answer:

I got this it 250..........

The base of a pyramid is a rectangle with a width of 4.6 cm and a length of 9 cm. What is the height, in centimeters, of the pyramid if its volume is 124.2 cubic cm?

Answers

Answer: 9 cm

Step-by-step explanation:

The volume of a pyramid is calculated by the formula:

Volume = (Length * Width * Height ) / 3

Filling in the details from the question will give:

124.2 = (9 * 4.6 * h) / 3

Solve for h:

9 * 4.6 * h = 124.2 * 3

41.4h = 372.6

h = 372.6 / 41.4

h = 9 cm

Colin invests £1100 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.

£

Answers

Where: A = P(1 + rt)

A = $1,265.00

I = A - P = $165.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year.

Solving our equation:

A = 1100(1 + (0.05 × 3)) = 1265

A = $1,265.00

The total amount accrued, principal plus interest, from simple interest on a principal of $1,100.00 at a rate of 5% per year for 3 years is $1,265.00.

Which fraction correctly shows the probability of14 favorable outcomes and 37 possible outcomes?

Answers

Answer: 14/37

Step-by-step explanation:

14/7 if I’m wrong sorry lol but I’m new thanks
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