Mathew is a financial analyst for a surf board company. He has found an equation for the revenue of selling t-shirts with the company logo to be r= -3p^2 + 60p +1060, where p is the price of the company’s product. What should he use to determine the price of maximum sales?

Answers

Answer 1

Answer: The price of maximum sales is $160

Step-by-step explanation:

This question requires you to find the vertex of this equation. The vertex of a parabola is the point where the parabola crosses its axis of symmetry.

since the coefficient of the [tex]x^2[/tex] term is negative, the vertex will be the highest point on the graph.

this quadratic equation is in standard form: [tex]y = ax^2+bx+c[/tex].

From this, we can derive:

[tex]a = -3[/tex]

[tex]b = 60[/tex]

[tex]c = 1060[/tex]

First, determine the axis of symmetry ([tex]p[/tex] is the variable for the horizontal axis ([tex]x[/tex]) in this instance). This will be our x-coordinate of the vertex.

[tex]p = \frac{-b}{2a}[/tex]

[tex]p = \frac{-(60)}{2(-3)}[/tex]

[tex]p = \frac{-60}{-6}[/tex]

[tex]p=10[/tex]

Then, substitute the axis of symmetry into the function to find the y coordinate of the axis of symmetry. r stands for the variable for the vertical axis in this instance. This will be our y-coordinate of the vertex.

[tex]r = -3(10)^2+60(10)+1060[/tex]

[tex]r = 160[/tex]

As we have determined both the x and y coordinate of the vertex for this equation, we can determine that the maximum point is at [tex](10, 160)[/tex].

the maximum price ([tex]r[/tex]) is 160


Related Questions

hurry ill give brainly

Answers

Answer:

D

Step-by-step explanation:

D is correct because the graph shows books' thickness starting at 1 1/2 inches thick and it fits.  C would not fit because it is a simple answer rather than showing an entire graph.  Sorry if this is wrong.  I'm almost positive this is right though.  Have a good day/night!  :D

The correct answer is D I remember doing this In school

Rewrite 6 3/5 as an improper fraction.

Answers

Answer:

33/5

Step-by-step explanation:

the answer is 33/5

multiply 5 and 6 then subtract by 3.

Can someone answer this

Answers

Answer:

C

Step-by-step explanation:

Snow because the temperature is below freezing and the previous days forcast had clouds that indicated at least rain which would turn to snow

Answer:

Snow

Step-by-step explanation:

If the temp is below 30 degrees which is freezing, and it is going to percipitate ( i.e. rain, snow, sleet, hail,) it will be either snow sleet or hail because the rain will freeze due to the cold temperatures.

Helppppp

I summon fieryanswererft :D

:DDDDD

Answers

Answer:

5446 cm²

Explanation:

Area of triangular prism = Base × Height + Length × (perimeter of base)

Here given:

Base: 24Height: 35Length: 47 cmPerimeter of Base: (37 + 24 + 37) = 98 cm

==========================================

Solve for Surface Area = 24 × 35 + 47 × (98) = 5446 cm²

The answer is 5446 square centimeters

please help me get the answers

Answers

Answer:

Step-by-step explanation:

2 by 2

answer: 2 by 2 from what i can see

A rectangular prism is 15 centimeters long, 33 centimeters wide, and 29 centimeters high. What is the surface area of the rectangular prism?
Help!

Answers

Answer:

hey!!!

3774 is the answer

please read the explanation... it always helps!!!

Step-by-step explanation:

okay i want you to imagine a tissue box... there are six sides... 4 that are equal in measure and the other two that are equal in measure... (i hope that was helpful and not confusing!! lol)

2 (15*33 + 15*29 + 33*29) = 3774

3774 cm squared

Answer:

total surface area = 3774 cm2

lateral surface area = 2784 cm2

top surface area = 495 cm2

bottom surface area = 495 cm2

Step-by-step explanation:

I just multiplied the dimensions given in question...

hope this helps! :D

which irrational number is the GREATEST?

Answers

Answer:

None

Step-by-step explanation:

Irrational numbers are numbers that go on and on. Since none of them ever end, there cant be a greatest irrational number.

the answer is D. i put them into the calculator and turned them into decimals

3. IN YOUR OWN WORDS How can you find the area of a circle?

Answers

Answer: you can find the area of a circle by multiplying the radius by pi and then squaring it by 2

Step-by-step explanation:

hurry ill give brainly

Answers

Answer:

A = 54 units²

Step-by-step explanation:

Area of triangle

[tex]A = \frac{1}{2} \times \text{base} \times \text{perpendicular height}[/tex]

You can read the lengths of the base and the height from the graph. Base is 12 units and height is 9 units. (Count the squares. Or 12 = 13 - 1 and 9 = 14 - 5)

[tex]A = \frac{1}{2} \times 12 \times 9\\A = 54 \text{ units}^2[/tex]

your answer is a=54 units^2

A rectangle has a length of 12.7 centimeters and a width of 7.4 centimeters. What is the area of this rectangle? A.) 40.2cm² B.)46.99cm² C.) 93.98cm² D.)131.18cm² pls help (will give brainliest

Answers

Answer:

C.) 93.98cm²

Step-by-step explanation:

The formula for an area of a rectangle/square is:

Length x Width

By this, 12.7 x 7.4 = 93.98cm²

(C) is the answer as the question is asking for an area of a square:
Length x Width
Therefore,12.7 x 7.4 = 93.98 cm2
(Hope this helps)

A recipe for fruit punch calls for 3 liters of orange juice and 2 liters of pineapple juice. Jo creates a drink by mixing 4 liters of orange juice with 3 liters of pineapple juice.

Which recipe will have the stronger pineapple taste?

Answers

jo’s because there’s less orange juice
3/2 and 4/3= 9/6 and 8/6
The orange juice will be the strongest

Mr. Millar's garden is in the shape of a trapezoid shown below. What is the area of the garden?

Answers

Answer:

12.5 unit square

Step-by-step explanation:

The area of a trapezoid is calculated with the following formula:

(b1 + b2)*h/2 (b1: base, b2: base, h: height)

(4+6)*(2.5)*2 = 12.5

The dot plots below show the weights of the players of two teams: Based on visual inspection of the dot plots, which team appears to have the larger mean weight?

A. Not enough information is available to draw a conclusion.

B. Both groups are similar.

C. Team E

D. Team F

Answers

Answer:

D. Team F

Step-by-step explanation:

Team F is expected to have larger mean since the dots are for the higher values of weights  and hence will result in higher mean but for team E the dots are for smaller weights and which result in a less mean.

Please help me everything you need to know is in the picture

Answers

Answer:15,005 or 23.2

Step-by-step explanation:

please help me with this square!

Answers

Answer:

EF

Step-by-step explanation:

its EF because its on the same corresponding side as LM

BRAINIEST PLS MY LADY

Answer:EF

Step-by-step explanation:

corresponds means having a close similarity; match or agree almost exactly. and by looking at the graph EF corresponds with LM meaning that EF is the answer.

Hope this helps, have a good day/night!

hurry illgive brainlt
Which ratios are equivalent to the given ratio?

3 to 2

Select each correct answer.


1510

23

4:12

6 to 4

18:12

Answers

The answers would be A, D, E
Solution:
18:12

6:4

(And if the first one is 15:10 then yes, but if it’s just a whole number which is 1510 then no)

13.33:
For a set of ten numbers, removing the largest number decreases the average by 1. Removing the smallest number increases the average by 2 . What is the positive difference between the largest and the smallest of these ten numbers?
Hint: Sometimes thinking of the average of a list of numbers as "balancing" the list helps solve problems.
Hint: How far must the largest number be from the average of the origiNl list?

Answers

Answer: The mean will have a higher value than the median. A data set distribution that is skewed right is asymmetrical and has a large number.

Step-by-step explanation:

The table below shows the price, y, of ground beef based on weight, x. Given that y is proportional to x, what would be the price of 3 pounds of meat?

Answers

B,cause after 2.25 it’s 3 pounds and if you - 4.95 with 3.85 you will get 1.10 and then you plus it with 4.95 equals 6.05 but obviously it’s not gonna be on there so you gotta do a lil rounding up ! I think,I just got the answer from my teacher
The answer should be (b)

Brainliest! Please help me

Answers

Hey there!

1/2 x 4/4 = 4/8

So , ? = 4

Answer:

the answer should be 4/8 hopefully because first of all you need to use a method that can help you save your life which is cross multiplying.

_1_= __?_

  2       8

you multiplied first 1 times 8 and then divide by 2 in which you will get an answer of 4/8 and to check it you divide 1/2 which gives you 0.5 and then divide 4/8 to see if it is an equivalent fraction and it will give you 0.5 in which yes sir its an equivalent fraction so 4/8 is the correct answer and have a great day.

Step-by-step explanation:

Please help me with this I would give you 50 points. Mrs. Hall's sixth-graders walk laps every day on the school track. the following are the numbers of laps the class competed in that lasted 12 weeks

15,18,20,20,10,22,14,7,18,19,15,23

create a box plot of the data.

Answers

Answer:

Refer to image below

Step-by-step explanation:

On a DVD, information is stored on bumps that spiral around the disk. There are 73,000 ridges (with bumps) and 73,000 valleys (without bumps) across the diameter of the DVD. What is the diameter of the DVD in centimeters? Round your answer to the nearest whole number.

Answers

Answer:

I pretty sure it's 8cm.

Step-by-step explanation:

I multiplied 73,000 by 0.000074, which resulted in 5.402.
Then, I multiplied 73,000 by 0.000032, which resulted in 2.336.
I added the products together, which gave a sum of 7.738.
Then I rounded to the nearest whole number, which is 8, because the tenth in the decimal (.7) rounds up because it is >4.

PLEASE HELP!!

What is the surface area of the triangular prism shown?

Answers

Answer:

volume v: 3494.8 cm²

Step-by-step explanation:

I think I am not sure

Answer: 1008

Step-by-step explanation:

Brainly patrol please don’t delete

What is the interquartile range of this data set?

{18, 17, 10, 25, 20, 20, 30, 18, 18, 30, 25}



Enter the answer in the box.

Answers

Answer:

7

Step-by-step explanation:

Answer:
The interquartile range of the data set is 7.

Step-by-step explanation:

The given set of data is
(18, 17, 10, 25, 20, 20, 30, 18, 18, 30, 25)
Arrange the data in ascending order.
10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30
Divide the data in two equal parts.
(10, 17, 18, 18, 18), 20, (20, 25, 25, 30, 30)
Divide each parenthesis in 2 equal parts.
(10, 17), 18, (18, 18), 20, (20, 25), 25, (30, 30)
Now we can say that,
Q1 = 18, Median = 20, Q3 = 25
Interquartile rage of a data is
I.Q.R. Q3 Q₁
I.Q.R.25-18=7

Therefore the interquartile range of the data set is 7.

2. The lengths of three rods are $6 cm, 10 cm, and 11 cm. How can you use these rods to measure a length of 15 cm ?

Answers

26cm           10cm       11cm    

Step-by-step explanation:

hurry ill give brainly

Answers

its 15 because you have it 3 times. the mode is the number that you see the most.

Answer:

the answer is 15

Step-by-step explanation:

hope i helped :)

given the function f(x) = x2 - 4 + 3, what is the output of f(-3)?

x2(second power)
A). 24
B). 21
C). 0
D) -3

Answers

Answer: 0

Step-by-step explanation:


Brainly patrol pls don’t delete

f(-3) means substitute x = -3 to the function:
f(x) = x^2 - 4x + 3
f(-3) = (-3)^2 - 4(-3) + 3
f(-3) = 9 + 12 + 3
f(-3) = ?
So wouldn’t it be A 24?

Writing a Complex Number in Standard Form In Exercises 11-22, write the complex number in standard form.
11. 8+\sqrt{-25}

Answers

Answer:

Step-by-step explanation:

a boom de la caca

PLEASE ANSWER ASAP ^^

Answers

The answer should be B, sorry if im wrong
C. The prisms have the same volume

Steps:
1. First you have to find the volume of the rectangular prism (l • w • h). 14 • 5 • 2= 140
2. Then you have to find the volume of the triangular prism (1/2a • c • h). 4 • 5 • 14= 280. 280 / 2= 140.

Both the volume of the rectangular prism and the triangular prism is 140

( brainliest ) John earned $60 babysitting. He spent 40% of the money on takeout food. Does he have enough money left to buy a backpack for $37.50? Show all your work.

Answers

Answer:

He does not have enough money left to buy a backpack for $37.50

Step-by-step explanation:

If he spent 40% of $60 on take out food, that means he spent $24.

So the remaining money would be $60-$24=$36.

So, no, he does not have enough money left to buy a backpack for $37.50

In the figure below, the m∠2 is 50°.

∠1 and ∠3 are a pair of ? angles.

Answers

Answer:

adjacent

Step-by-step explanation:

Adjacent I think because that’s what my papa said to me when he went to go get milk
Other Questions
What change is needed to form a complete sentence?Walked along Sixth Street, looked up, and saw a hot-air balloon Please help me do this mathematics question experts Type the correct answer in the box. use numerals instead of words. for this question, any non-integer answers should be entered as decimals, rounded to the hundredths place. consider this data set. 25.5 26 18.2 15.3 28.5 27 20.7 20.2 26.1 18.2 21.4 17.9 24.3 22.6 19.6 the mean of the data set is , and the sample proportion of numbers less than the mean is %. HELP ASAP!!!! With an explanation f(x) = 3x^2 + 5x find f(3) PLEASE NEED HELP RIGHT NOWW(giving 20 points) #53. will give the best answer brainliest Please Help Giving Brainlist!!!!! Given that the area of rectangle IJKL is 490 units^2, what are its length and width? You plan on making a $235.15 monthly deposit into an account that pays 3.2% interest, compounded monthly, for 20 years. at the end of this period, you plan on withdrawing regular monthly payments. determine the amount that you can withdraw each month for 10 years, if you plan on not having anything in the account at the end of the 10 year period and no future deposits are made to the account. a. $769.27 b. $767.23 c. $78,910.41 d. $79,120.84 A biology student wants to determine if using a fertilizer would help promote growth of new babies in spider plants. The student has access to 90 spider plants of three varieties: green, variegated, and curly. They all are potted in the same amount and type of soil, given the same amount of water, and exposed to the same amount of light. After one year, the shoots will be counted for each plant.Which of the following describes a random block design for this experiment?A) The plants are numbered 0190. Using a line from a random number table, the first 45 two-digit numbers, ignoring repeats and the numbers 9199 and 00, represent the plants that will receive fertilizer. The remaining 45 plants will not receive fertilizer.B) The plants are paired together based on similar size and numbered 1 and 2. Within each pair, a 6-sided number cube is rolled. If it lands on 1, 2, or 3, plant 1 receives the fertilizer and plant 2 does not receive fertilizer. If the cube lands on 4, 5, or 6, plant 1 does not receive fertilizer and plant 2 receives fertilizer. This is done for each of the 45 pairs of plants.C) The plants are grouped based on variety. There are 30 plants of each variety. The plants within each variety are numbered 130, and the numbers are put in a random number generator. The first 15 unique numbers represent the plants in each variety that will receive fertilizer and the remaining 15 numbers will represent the plants in each variety that will not receive fertilizer.D) The plants are grouped based on size. The 30 biggest plants are placed in one group and the 30 smallest plants in another other group. The remaining 30 plants are placed in a third group. For each group, a coin is flipped. If the coin lands on heads then the group will receive the fertilizer. If it lands on tails, then the group will not receive fertilizer. Repeat this procedure for the other two groups. When the parties have not expressly agreed otherwise, Article 2 of the Uniform Commercial Code acts to __________ missing or open terms in a contract for the sale of goods between merchants. 89 +500= 589 because if you add 500 + 89 and you get 589 or you can subtract 89 from 500 Does anybody know this? I got told it was 828.8 by someone and it was wrong.Find the surface area of the square pyranid what do you mean by decentralization ? Simplify.- (u+5)+5 (2u-5) Find the equation of the line.Use exact numbers.yy8-76+-9-8-7-6-5-4-322 3 4 5 6 7 8 9-27-3-4-5-6-8 Which sentence uses theunderlined vocabularyword incorrectly?A. I don't know how she could havebeen more explicit on how shewanted us to play the piece.B. The horse that won thecompetition was one of the elite --bred and trained in Spain.C. Keeping the kitchen stocked in ahouse with four growing boysrequires a lot of maintenance.D. The dust in this room isarticulate; it's time to clean it. In an insurance contract, the person buying the insurance is called the insured, and the insurance company is called the insurer a. true b. false Solve log (5x+7)=log(8x-2) Solve:2x-1/x+4 is greater than or equal to 0