A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
the maximum amount of profit the company can make, to the nearest dollar.
y=-3x2 + 197x –
1279

Answers

Answer 1

Answer:

$1954

Step-by-step explanation:

Given the profit function expressed as;

y=-3x^2 + 197x – 1279

The profit is at maximum when dy/dx = 0

dy/dx = -6x + 197

0 = -6x+197

6x = 197

x = 197/6

x = 32.83

substitute 32.83 into the modeled function

y=-3x^2 + 197x – 1279

y -3(32.83)²+197(32.83) - 1279

y = -3(1,078.03)+6,467.51 - 1279

y = -3,234.09+6,467.51-1279

y = 1,954.42

hence the maximum amount of profit the company can make, to the nearest dollar is $1954


Related Questions

21 The graph of an exponential function is shown on the grid.
Based on the graph, which statement about the function is true?
A The range is the set of all real numbers less than 0.
B The domain is the set of all real numbers greater than-4.
C The range is the set of all real numbers greater than 0.
D The domain is the set of all real numbers less than-4.

Answers

Answer:

C The range is the set of all real numbers greater than 0.

Step-by-step explanation:

We see that the function has positive range and no restriction of domain.

A The range is the set of all real numbers less than 0.

Incorrect, positive values only

B The domain is the set of all real numbers greater than-4.

Incorrect, the domain can get any value

C The range is the set of all real numbers greater than 0.

Correct, the range is restricted to positive values

D The domain is the set of all real numbers less than-4.

Incorrect, no restrictions

Answer:

C is the correct answer!!

Step-by-step explanation:

hope this helped!!

If x = 5y - 1 and 2x + 5y = -32, what is the value of y?​

Answers

Answer:

y = 2 and five together

Step-by-step explanation:

Brandon has 6 eggs. He needs 2/3 of the eggs to make an omelet. How many eggs does he need?

Answers

Answer:

4

Step-by-step explanation:

He need 4 eggs to make an omelet.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Brandon has 6 eggs.

And, He needs 2/3 of the eggs to make an omelet.

Here, Number of eggs = 6

And, He needs 2/3 of the eggs to make an omelet.

Hence, We get;

Number of egg to make an omelet = 2/3 of 6

                                                      = 2/3 × 6

                                                      = 4

Thus, Number of eggs to make an omelet = 4

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

eremy constructed this solid by combining two rectangular prisms and a square pyramid.

A rectangular prism with a length of 6 meters, width of 14 meters, and height of 2 meters. A rectangular prism with a length of 5 meters, width of 8 meters, and height of 3 meters. A square pyramid with a base of 6 meters by 6 meters and triangular sides with a height of 7 meters.


What is the surface area of this figure?

_____________ square meters
320
322
368
386

Answers

368 square meters is the answer

what is 10 x 1080? Can someone help?

Answers

the answer is 10080 you can use a calculator for this

Answer:

10,800

Step-by-step explanation:

1. Multiply the ones

2. Multiply the tens

3. Multiply the hundreds

4. Multiply the thousands

5. Multiply the ten - thousands

Follow the steps and you will get the answer!

i will mark u as the brainlest if you can help me with 4 question

Answers

Answer:

B, C, D

Step-by-step explanation:

They have the < or > they are inequalities

To make a profit, a clothing store sells board shorts at 115% of the amount they paid for them. How much did the store pay for the board shorts shown?

Answers

Answer:I’m trying to find that too

Step-by-step explanation:

The perimeter of a square is 68 inches. Write and solve an equation to find the length of its sides.

Answers

Answer:

17

Step-by-step explanation:

68/4=17

all 4 sides are equal lengths since it is a square.

Answer:

Step-by-step explanation:

68+68+68+68= (or 68x4) 272 inches

Work out the percentage change to 2 decimal places when a price of £125.99 is increased to £150.

Answers

Answer:

Percent change is 19.06%

Step-by-step explanation:

It is given that:

Price before change = £125.99

Price after increase = £150

Change = 150 - 125.99 = £24.01

Percent of change = [tex]\frac{Change}{Price\ before\ change}*100[/tex]

Percent of change = [tex]\frac{24.01}{125.99} * 100[/tex]

Percent of change = 0.1906 * 100

Percent of change = 19.06%

Therefore,

Percent change is 19.06%

Answer:

19.06

Step-by-step explanation:

4. 8 16,
Find the next 3 term of geometric sequence

Answers

Answer:

32, 64, 128

Step-by-step explanation:

Let us start by looking at the geometric progression. A geometric progression multiplies each number by a constant, which we can name r, to get the next term. Let us find this constant:

16÷8=2

8÷4=2

Both expressions confirm that our r, the constant, is indeed 2.

To find the next few terms, we simply multiply by r:

1. 16r=16×2=32

2. 32r=32×2= 64

3. 64r= 64×2 = 128

I hope this helps! Please let me know if you have any further questions :)

HELP ME PLEASE WILL GIVE BRAINLY

Answers

Answer:

A.

Step-by-step explanation:

Given: A= (0, 0), (2, 1). (3, 1.5). (4, 2). .}ls A a function and why?

Answers

Answer:

Yes, it is a function

Step-by-step explanation:

the definition of a function is "a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output." Our input is represented by x, or the first number in the parentheses, and our output is y, or the second number in the parentheses. Because each x value had exactly one output, or y, it is a function

what is 125% of 12.8

Answers

What is 125 percent (calculated percentage %) of number 12.8? Answer: 16.

The required value of the given percentage is 16. "125%" represents 125 parts out of 100, which is equivalent to 1.25 times the original value.

To find 125% of 12.8, we can multiply 12.8 by 1.25.

First, we convert the percentage to decimal form by dividing it by 100. So, 125% becomes 1.25.

Next, we multiply 12.8 by 1.25:

12.8 × 1.25 = 16.

Therefore, 125% of 12.8 is 16.

Multiplying 12.8 by 1.25 increases it by 25% or adds one-quarter of the original value. Thus, the result of 16 represents an increase of 25% from 12.8.

Thus, the required value of the given percentage is 16.

Learn more about percentages here:

brainly.com/question/24159063

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Select the correct answer.
What is the end behavior of this radical function?

Answers

Answer:

A.

Step-by-step explanation:

As x approaches positive infinity, f(x) approaches positive inifinty.

Matthew is making bags of trail mix for hiking club. He will use 21 ounces of walnuts, 10.1 ounces of almonds, and 28.4 ounces of cashews. This amount makes 25 bags of trail mix. How many ounces are in each bag?

Answers

Answer:

its 2.38 ounces in each bag

Step-by-step explanation:

u add all of he numbers then divide by 25. your welcome

I need help with this problem

Answers

Answer:

-0.125 or -1/8

Step-by-step explanation:

switch the numerator and denominator and then divide. So, -8/1 should switch to 1/-8, and then you divide the two to get, your answer, -0.125

Matt is given 9/10 hours to shovel a driveway. He only uses 2/3 of the given time to shovel the driveway. How much time is left?

Answers

Answer:

0.23333333333

Step-by-step explanation:

Answer:

7/30

Step-by-step explanation:

first make them both have common denominator

9/10= 27/30

2/3=20/30

they both go into 30 then subtract 27/30 and 20/30

If a town with a population of 5,000 doubles in size every 11 years, what will the population be 44 years from now?

Answers

44 divided by 11 =4 , 5000 times 2= 10,000 , 10,000 times 2 = 20,000 , 20,000 times 2 = 40,000 , 40,000 times 2 = 80,000. The answer is 80,000
answer: 20,000Because 11 divided by 44 is 4. Multiply 4 by 5,000 and you get 20,000.

Write an expression for the total amount Carla has paid after a certain number of months

Answers

Answer:

$25.00+$36.00m

Step-by-step explanation:

Calculate the slope of the line on the graph using the
formula:
72-V1
m
X2 - X
The slope of the line is
_____m/s.

Answers

Given:

The graph of a line which represents position (m) at time (s).

To find:

The slope of the line.

Solution:

Formula for slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that the line passes through two points (0,0) and (1,4).

Using the above formula, we get

[tex]m=\dfrac{4-0}{1-0}[/tex]

[tex]m=\dfrac{4}{1}[/tex]

[tex]m=4[/tex]

Therefore, the slope of the line is  4 m/s.

Answer:

4

Step-by-step explanation:


What are the
coordinates of
the outlier in the
scatterplot
shown?

Answers

Answer:

6,4

Step-by-step explanation:

F is the whole way out there, away from all the other dots and has a 6,4 coordinate.

6,4 I think I’m not sure

I NEED HELP PLZ , i’m stuck and i don’t get it

Answers

Answer:

Step-by-step explanation:

2x+6+2x+6+2x+6=180

why, bc they all have equal sides

6x+18=180

6x=162

x=27

Factor using GCF then AC:
9x2 - 39x - 30

Answers

Answer:

3(x^2-13x-10)

Step-by-step explanation:

You can only factor out 3, as that is the only thing these have in common.

Find the percent of change. Round to the nearest tenth, if necessary.

In the 2006 season, Tom Brady threw for 3,529 yards. In the 2007 season, he threw for 2,806 yards.

Answers

Answer:

20.487%

Step-by-step explanation:

divide the second number by the first. then do one minus that number

PLZ I NEED HELP ILL GIVA YALL BRAINLIEST

Answers

Answer:

39 possible outcomes.

Step-by-step explanation:

Since there are 52 cards in a deck and Jane has 3 decks, that would give Jane 156 cards, leaving us to divide that number by 4 because 4 cards are dealt at the start of the game.

A 6 ft tall petrified stump standing next to a car casts a 12 ft shadow. If the car casts a shadow that is 6 ft long, then how tall is it?

Answers

Answer:

3 feet tall

Step-by-step explanation:

JKLM is a rhombus. KM is 20 and JL is 48. Find the perimeter of the

rhombus.

Answers

Answer:

104 units

Step-by-step explanation:

Given

Shape: Rhombus

[tex]JL = 48[/tex]

[tex]KM = 20[/tex]

Required

Determine the perimeter

The given parameter are the diagonals of the rhombus.

The perimeter (from diagonals) is calculated as thus:

[tex]P = 2\sqrt{(JL)^2 + (KM)^2}[/tex]

Substitute values for JL and KM

[tex]P = 2\sqrt{48^2 + 20^2}[/tex]

[tex]P = 2\sqrt{2304 +400}[/tex]

[tex]P = 2\sqrt{2704}[/tex]

[tex]P = 2 * 52[/tex]

[tex]P = 104[/tex]

Hence, the perimeter is 104 units

What is 1.8(x-4.2)+x simplified, I do not need to know what is x is, I just wanted to know what the equation is simplified

Answers

Answer:

2.8x - 7.56

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Marlowe loves to draw. She wants to refine her skills and start taking drawing lessons at a local art studio. The table shows the cost of drawing lessons.

Answers

Sorry im a little late but here's how i did it.

Hope this helps! :)

NEED HELP ASAP PLZZZCircles can start with just a little bit of information and grow into equations and graphs. what are the coordinates of the center point and the radius of a circle?

Answers

Answer:

i need a photo this makes no sense

Step-by-step explanation:

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