The revenue of the company is given by the equation R = x (1000 – 4x), where R is the revenue of the company in dollars when thy sell x units of a product. How many units of the product should they sell to make a revenue of $60,000

Answers

Answer 1

Answer:

100 or 150 units of the product.

Step-by-step explanation:

R = x(1000-4x)

What is the value of x if R = 60,000?

x(1000-4x) = 60000

-4x^2 + 1000x = 60000

x^2 - 250x = -15000

x^2 - 250x + 15000 = 0

Factorize:

(x-100)(x-150) = 0

x-100 = 0 V x-150 = 0

x = 100 V x = 150


Related Questions

which one is right please help

Answers

A trust me i promise

In a class test, Jumbo scored 20% more than Mambo and Mambo scored 10% less than Rambo. If Rambo scored 100 marks then what is the score of Jumbo?​

Answers

Answer:

i didnt mean to answer this question

Step-by-step explanation:

Mrs. Wigen conducted a survey in her math class. She asked each of her students to tell her how many pets they have at home. The dot plot below represents the results of Mrs. Wigen's math class survey. 12-----3 4:25 Number of pets at home Find the Measures of Center for the data: Mean Round to the nearest tenths place Median Mode ​

Answers

Answer:

4 : 25 to round off we have to see that

4 : 25 to round off we have to see that If in ones place it is more than 5 or not

4 : 25 to round off we have to see that If in ones place it is more than 5 or not if yes we will add to 1 no to tenths place

4 : 25 to round off we have to see that If in ones place it is more than 5 or not if yes we will add to 1 no to tenths place Finally 4 : 25 it has 5 in its ones place

So the answer will be 4 : 30

Solve equation by using the quadratic formula.
6x² – 2x=8

Answers

Answer:

D

Step-by-step explanation:

Work out the value of angle x

Answers

Answer:

Its an Isosceles triangle. The two bases are equal

So

x= 180-(62+62)

x=56°.

Answer:

x = 56

Step-by-step explanation:

As you can see two angles are congruent, as the two tally marks suggest so. Therefore not only does the left angle measure 62 but also the right angle does as well. Therefore, further indicating that we are dealing with an isosceles triangle in this scenario. So you would come up with the equation 62(2) + x = 180 because all the angles together add up to get you 180 degrees. So once you say 62 times 2 to get 124 you would subtract that by 180; giving you 56 degrees for x.

perimeter of triangles. i really need help!

Answers

Answer:

1) P=49

A=187

2)P=59

A=221

3)P=32

A=96

4)P=132

A=660

5)P=42

A=130

6)P=34

A=24

Step-by-step explanation:

area of a triangle is bh/2

perimeter is s1+s2+hypotenuse (add all sides)

side note: number 6, i don't know if that is right. It makes no sense.

side note: I don't know if you wanted perimeter and area for all triangles included triangles inside triangles or just the big triangles so... If I got it wrong sorry. I just did perimeter and angle for the big triangles.

You are at the top of a lighthouse that is 500 ft tall. You look down towards the ocean and see a boat located 800 ft. from the shore.

a) What is the angle of depression from your position to the boat? Round to the nearest whole number.

b) If the boat travels away from the lighthouse an additional 1000 feet, what is the angle of depression from your position to the boat? Round to the nearest whole number.

C) By how many degrees did your line of sight change.

Answers

Answer:

a) 32° (nearest whole number)

b) 16° (nearest whole number)

c) 16.5° (1 d.p.)

Step-by-step explanation:

Please see the attached picture for the full solution.

Suppose that your drawer contains 8 AAA batteries but only 6 of them are good. If you randomly select 4 batteries what is the probability all 4 will work ?

Answers

Answer:

Step-by-step explanation:

[tex]P=\frac{6}{8} \times\frac{5}{7} \times\frac{4}{6} \times\frac{3}{5} =\frac{3}{14}[/tex]

Step-by-step explanation:

the probability of the 4 batterys work was %30 because if you take randomly 4 battery you take good and bad batterys and the most probability is the 4 batterys don't work or the 4 batterys work or like 1 or 2 batterys work thats why like %30 the batterys work

The nth term of a sequence is given by 2n²+1.Write down the first four terms of the sequence.​

Answers

Answer:

2(1)²−1= 1

2(2)²−1= 7

2(3)²−1= 17

2(4)²−1= 31

2(5)²−1= 49

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

During one month, there were 2,000 people who used the advertiser links on a website. The percent of people who clicked on each
advertisement link is shown in the circle graph. Calculate the number of people who clicked on the link for each type of advertisement. How
many people used the Music link?
Advertiser Links
Computers
2396
Music
25%
TVS
3%
Movies
1796
Cell phones
32%
340
450
500
540

Answers

Answer:

500

Step-by-step explanation:

During one month, there were 2,000 people who used the advertiser links on a website. The percent of people who clicked on each

advertisement link is shown in the circle graph. Calculate the number of people who clicked on the link for each type of advertisement. How

many people used the Music link?

Advertiser Links

Computers

2396

Music

25%

TVS

3%

Movies

1796

Cell phones

32%

340

450

500

540

Then You Turn The Music Percent Into A Decimal Which Is .25% Then Times That By 2000 And You Get .25 X 2000 = 500

Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept.

Answers

Answer:

Step-by-step explanation:it’s c

Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5 radians per minute and has a radius of 40 feet. The center of the Ferris wheel is 47 feet above the ground. Let t represent the number of minutes since the Ferris wheel started rotating.

Required:
Write an expression (in terms of t) to represent the varying number of radians θ Ryan has swept out since the ride started.

Answers

Answer:

a) The expression for the change in angular position is [tex]\theta = 5\cdot t[/tex].

b) The expression for the height of Ryan regarding the center of the Ferris wheel is [tex]H(t) = 40\cdot \sin (5\cdot t)[/tex].

c) The expression for the height of Ryan above the ground is [tex]H(t) = 40\cdot \sin (5\cdot t) + 47[/tex].

Step-by-step explanation:

The statement is incomplete. Complete form is introduced below:

Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5 radians per minute and has a radius of 40 feet. The center of the Ferris wheel is 47 feet above the ground. Let t represent the number of minutes since the Ferris wheel stated rotating.

a) Write an expression (in terms of t) to represent the varying number of radians [tex]\theta[/tex] Ryan has swept out since the ride started.

b) Write an expression (in terms of t) to represent Ryan's height (in feet) above the center of the Ferris wheel.

c) Write an expression (in terms of t) to represent Ryan's height (in feet) above the ground.

a) Let suppose that Ferris wheel rotates counterclockwise. As the Ferris wheel rotates at constant rate, this kinematic expression can be used to determine the change in angular position ([tex]\theta[/tex]), in radians:

[tex]\theta = \omega \cdot t[/tex] (1)

Where:

[tex]\omega[/tex] - Angular velocity, in radians per minute.

[tex]t[/tex] - Time, in second.

If we know that [tex]\omega = 5\,\frac{rad}{min}[/tex], then the expression for the change in angular position is [tex]\theta = 5\cdot t[/tex].

b) Geometrically speaking, Ryan's height with respect to the center of the Ferris wheel is described by the following formula:

[tex]H(t) = r \cdot \sin (\omega\cdot t)[/tex] (2)

Where:

[tex]r[/tex] - Radius of the Ferris wheel, in feet.

[tex]H(t)[/tex] - Height of Ryan with respect to the center of the Ferris wheel, in feet.

If we know that [tex]\omega = 5\,\frac{rad}{min}[/tex] and [tex]r = 40\,ft[/tex], then the expression for the height of Ryan regarding the center of the Ferris wheel is [tex]H(t) = 40\cdot \sin (5\cdot t)[/tex].

c) We use the following geometric expression to model Ryan's height above the ground:

[tex]H(t) = r\cdot \sin (\omega\cdot t) +h_{o}[/tex] (3)

Where [tex]h_{o}[/tex] is the height of the center of the Ferris wheel above the ground, in feet.

If we know that [tex]h_{o} = 47\,ft[/tex], [tex]\omega = 5\,\frac{rad}{min}[/tex] and [tex]r = 40\,ft[/tex], then the expression for the height of Ryan above the ground is [tex]H(t) = 40\cdot \sin (5\cdot t) + 47[/tex].

Wavelength and Frequency

Which component in a musical note is referred to as the pitch of a sound?

a. wavelength
b. frequency
c. time
d. distance

Please select the best answer from the choices provided

Answers

Answer:

B. Frequency

Step-by-step explanation:

I calculated it logically

What is the slope of the line that passes through the points
(
9
,
4
)
(9,4) and
(
9
,

5
)
?
(9,−5)? Write your answer in simplest form.

Answers

We are given:

The line passes through the points (9,4) and (9,-5)

We know that:

Slope of a line = (change in y) / (change in x)

Finding the slope:

Change in x = final x - initial x

Change in x = 9 - 9 = 0

Slope of line = (change in y) / 0

because division by 0 is undefined:

Slope of the line is Undefined

We could've solved for the change in y but there's no reason to because no matter what's in the numerator, as long as the denominator is 0, the value is undefined

a sqaure pieace of platic has sides that are 3 centimeter long. what is the platic pieace of teh area? answers

Answers

To find the area of a square multiply length x width. Since all sides are equal,
3 x 3 = 9
9 is the answer.

I just need some help with this problem I can show the other graph and pictures in the comments

Answers

Answer:

Please show the full picture so I can answer

Step-by-step explanation:


X + 2Y - 3Z = 11
3X + 2Y + Z = 1
2X + Y - 5z = 11

Answers

Answer:

X=-1

Y=3

Z=-2

Step-by-step explanation:

X=-1

Y=3

Z=-2

Choose A B C or D
State if the triangles in each pair are similar. If so, state how you
know they are similar

A) similar; SAS similarity
C) not similar
B) similar; SSS similarity
D) similar, AA similarity

Answers

Answer:

Option D

Step-by-step explanation:

From the picture attached,

m∠K ≅ m∠C [Given]

m∠L = m∠D [Given]

By AA property of similarity,

Both the triangles ΔDEC and ΔLMK are the similar triangles.

Option D will be the correct option.

13) If AOBC is a rectangle whose three vertices are A(0,3), (0,0) and B(5,0).
Then sum of the squares of its both diagonals is units,
(a) 2root34
(b) 68
(c) 34
(d) 2root68​

Answers

Answer:

(b) 68

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Diagonal:

Diagonals are a line between opposite points in a square.

In this question, it is between A(0,3) and B(5,0), and between (0,0) and (5,3). Both these diagonals have the same measure, and are the distance between these points. So

[tex]D = \sqrt{(5-0)^2+(3-0)^2} = \sqrt{5^2 + 3^2} = \sqrt{34}[/tex]

Then sum of the squares of its both diagonals is units

Both diagonals measure [tex]\sqrt{34}[/tex]. Sum of squares is:

[tex](\sqrt{34})^2 + (\sqrt{34})^2 = 34 + 34 = 68[/tex]

The correct answer is given by option b.

Simplify the expression. 4√ 6+ 5√6

Answers

Answer:

9√6

Step-by-step explanation:

4√6+5√6

=(4+5)√6

=9√6

find any domain restrictions on f(g(x))
f(x)= square root x-3 and g(x)=x+5

Answers

Answer:

[tex]x \ge -2[/tex]

Step-by-step explanation:

The "argument" of a square root (the quantity you're finding the square root of) must be greater than or equal to 0.

[tex]f(x)=\sqrt{x-3}[/tex] requires [tex]x-3 \ge 0 \Rightarrow x \ge 3[/tex].

But in the function f(g(x)), the input to  f  is g(x) = x + 5, so x + 5 must be greater than or equal to 3.

[tex]x+5 \ge 3 \Rightarrow x\ge -2[/tex]

Composite functions can be confusing; one reason is the use of the same symbol, x to represent numbers from the domain of EACH function.  See if it helps to call the domain of g by the name x, and the domain of f by some other name.

[tex]f(z)=\sqrt{z-3}\\g(x)=x+5\\f(g(x))=f(x+5)=\sqrt{(x+5)-3}=\sqrt{x+2}[/tex]

The square root will require [tex]x+2 \ge 0 \Rightarrow x \ge -2[/tex]

Help please!!! Best answer will get brainliest!!!

Answers

Answer is b for this question

Evaluate 9.3p + 8.7r when p=6 and r=7 .

Answers

Answer:

116.7

Step-by-step explanation:

Given: p = 6, r = 7

Plug in 6 for p, and 7 for r in the given expression:

9.3p + 8.7

9.3(6) + 8.7(7)

Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.

First, multiply:

9.3 * 6 = 55.8

8.7 * 7 = 60.9

Next, add:

55.8 + 60.9 = 116.7

116.7 is your answer.

~

Answer:

9.3p + 8.7r when p=6 and r=7 .

substituting value

9.3*6+8.7*7

55.8+60.9

116.70is a required answer.

g A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam. We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%. The test statistic is

Answers

Answer:

The test statistic is [tex]z = 1.25[/tex]

Step-by-step explanation:

We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.

At the null hypothesis, we test if the proportion is 80%, that is:

[tex]H_0: p = 0.8[/tex]

At the alternate hypothesis, we test if the proportion is more than 80%, that is:

[tex]H_a: p > 0.8[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

80% is tested at the null hypothesis:

This means that [tex]\mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4[/tex]

A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.

This means that [tex]n = 100, X = \frac{85}{100} = 0.85[/tex]

The test statistic is

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.85 - 0.8}{\frac{0.4}{\sqrt{10}}}[/tex]

[tex]z = 1.25[/tex]

The test statistic is [tex]z = 1.25[/tex]

Shirts are 50% off. The original price of one shirt is $60. dollars, of two shirts, at the sale price, including a 10% sales tax​

Answers

Answer:

I guess, you are asking how much two shirts are costing now.

the answer is $66

Step-by-step explanation:

sales tax is always calculated from the actual sales price (and never from a list price or so).

so, the discount is 50%.

=> a shirt now costs only $30 (instead of $60).

50/100*60 = $30

now, sales tax is calculated from these $30.

=> 10% of $30 is $3

10/100*30 = $3

therefore, a single shirt costs now $30+$3 = $33 incl. sales tax.

two shirts cost therefore 2 * $33 = $66

Find the area of the shape shown below. Can someone please help?

Answers

Answer:

240 units²

Step-by-step explanation:

Rectangle = 20x10=200

2 triangles = 2x1/2x4x10=40

200+40=240

can some one teache me the steps to do sqaure root i cant understand it​

Answers

Answer:

It's easy.

Step-by-step explanation:

The square root of something is just the reverse of some squared.

For example, if you do 3 to the power of 2 (3^2) you get 9. now if you reverse that you would do square root. [tex]\sqrt{9}[/tex] would be 3. Think of it like multiplication and division. If you do 10*5 you get 50. All you have to do is reverse it after that  50/5 = 10. See.

The only difference it square(2) root and squared(2) are only with the number 2. Meaning you can't do 3 to the power of 3 (3^3) and expect to square root it to get the reverse. For example, 3 to the power of 3 (3^3) is 27. But the square root of 27 is NOT 3, it is 5.2

You get it?

The function graphed to the left is function. The curve has and continues infinitely in one direction. Each y-value is each corresponding x-value.

Answers

Answer:

1. A square root

2. one distinct endpoint

3. The square root of

on edg

have a nice day! :)

Step-by-step explanation:

1. The function graphed to the left is function. A square root

2.  The curve has and continues infinitely in one direction.

one distinct endpoint

3.  Each y-value is each corresponding x-value. the square root of

what is square root function?

The principal square root function. (usually just referred to as the "square root function") is a function that maps the set of nonnegative real numbers onto itself.

1. A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions.

The graph shown is known as the graph for square root functions.

2. The curve has one distinct end point and continues infinitely in one direction.

3. The square root of each corresponding x-value.

   Each value of y is the corresponding square root of x- values.

Learn more about this concept here:

https://brainly.com/question/14231651

#SPJ2

Help please i dont know how to do it

Answers

Answer:

14 is D but I don't 15 question answer

need help please finding x

Answers

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

Corresponding segments are proportional.

  x/8 = 21/24

  x/8 = 7/8 . . . . reduce the fraction

  x = 7 . . . . . . . multiply by 8

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