The function, f(n) = 70n – 400, models the profit of the instructor of a guitar class per month, where n is
e number of students enrolled in the class.
How many students must be enrolled in the class for the instructor to make a profit?
ow many students must be enrolled in the class if the instructor needs to make $1,000.00 profit per
onth?

Answers

Answer 1

Using the given function, it is found that:

6 students need to be enrolled for the instructor to make a profit.20 students must be enrolled for the instructor to make a profit of $1,000 a month.

What is the profit function?

The profit when n students are enrolled in the class is given by:

f(n) = 70n - 400.

A profit is made when f(n) > 0, hence:

70n - 400 > 0

70n > 400

n > 5.71.

6 students need to be enrolled for the instructor to make a profit.

A profit of $1,000 is made when f(n) = 1000, hence:

70n - 400 = 1000

70n = 1400.

n = 20.

20 students must be enrolled for the instructor to make a profit of $1,000 a month.

More can be learned about functions at https://brainly.com/question/25537936

Answer 2

Atleast 6 students must be enrolled to make a profit and 20 student are needed to make $1,000.00 profit per month.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the function:

f(n) = 70n - 400

To make a profit, f(n) > 0, hence:

70n - 400 > 0

n > 6

For a profit of $1000:

70n - 400 = 1000

n= 20

Atleast 6 students must be enrolled to make a profit and 20 student are needed to make $1,000.00 profit per month.

Find out more on equation at: https://brainly.com/question/2972832


Related Questions

hello brainly team I need help

Answers

Answer:

See below ↓↓

Step-by-step explanation:

5.

sin60° = x/16 = 1/2x = 16/2 = 8cos60° = y/16 = √3/2y = 16√3/2 = 8√3

6.

sin30° = 2/u = 1/2u = 2 x 2 = 4tan30° = 2/v = √3v = 2/√3

For every 2 girls in Mr Hegarty's class there is 1 boy. What is the ratio of boys to girls in the class?
Give your answer in its simplest form.

Answers

Answer:

1 : 2

Step-by-step explanation:

1 boy for every 2 girls
1 : 2

Answer:

2:1

Step-by-step explanation:

bc of 2 girls there 1 boy so every 2g there 1b so the ratio is 2:1

I need the answers asap pls

Answers

Answer:

can you make the pirure a little better

Step-by-step explanation:

At the end of a baseball game, the players were given the choice of having a bottle of water or a box of juice. Of all of the players, 12 chose a bottle of water, which was 3 4 of the total number of players. Write and solve an equation to determine p. the total number of players at the baseball game. Show your work

Answers

Answer:

p=48

Explenation:

Total number of players = p

According to given scenario:

p - 12 = 3/4p

By simplifying

Taking terms with p on left and constants on right

p - 3/4p = 12

By taking LCM for left side to make denominators same

4/4*p -3/4p = 12

(4p -3p)/4 = 12

1p/4 = 12

Multiplying both sides by 4 we get

p = 12 * 4

p = 48

So total number of players is 48

The perimeter of the shaded face of this cube is 12 centimeters. What is the volume of the cube in cubic centimeters?

Answers

Answer:

1728

Step-by-step explanation: L(length) H(height) W(width)

volume = l x w x h

perimeter= L + W + L + W

perimeter = 12 + 12  + 12 + 12

volume = 12 x 12 x 12 because it' s a cube, and all sides are equal

= 1728

(i don't know if it's right though...)

Help please and thank you I will mark you brainiest if you get this correct

Answers

Answer:

It is B which in this case is 1 because "The fisherman plopped the giant sea bass onto the "scale" and smiled when he realized it was his biggest catch ever. So the only defintion that makes sense is B or 1.  

Step-by-step explanation:

Please can I have brainliest

APPLICATION Analyzing and Interpreting Data

A. If Karen sold 25 salads at $6 each, how many would she need to sell at $5. 50 to make

at least the same amount of total revenue?

Demand, Supply, and

Answers

Answer:

30

Step-by-step explanation:

6 * 25 = 150

150/ 5 = 30

Explain two different ways you could determine a fraction between 5/12 and 11/24.

Answers

Answer:

.By taking LCM .

. Taking LCM and multiplying numerator and denominator by 10,100,1000 etc.

please give me brainliest

Solve for x.

7.5x11=4.85

Answers

Answer:

x = .005

Step-by-step explanation:

7.5x (11) = 4.85

7.5x = 4.85/11

7.5x = 0.441

x = 0.441/7.5

x = .005 ans

Jada bought an iPhone for $1000 in 2019. An iPhone declines about 9% yearly, How much is the iPhone worth in 2022? ROUND YOUR ANSWER TO
THE NEAREST WHOLE NUMBER.

Answers

Answer:

686

Step-by-step explanation:

1-0.09=0.91

1000

((((1000*0.91)*0.91)*0.91)*0.91)

685.74961

rounded to whole number

686

For triangle xyz , the measures of angles x,y, and Z are known. Which method should be used to start solving triangle xyz?
law of sines
law of cosines
neither law can be used
both laws can be used

Answers

The triangle xyz has three sides and three angles

Neither law can be used to solve the triangle

How to determine the appropriate method?

As a general rule, the law of sines states that:

x/sin(X) = y/sin(Y) = z/sin(Z)

As a general rule, the law of cosines states that:

x^2 = y^2 + z^2 - 2yz cos(X)

From the question, we understand that only the angle measures are given.

The sine and the cosine laws above require at least one side length of the triangle in order to solve the triangle

Since the side lengths are not known, then neither of the laws can be used

Read more about laws of cosines and sines at:

https://brainly.com/question/4372174

What cartoon world do you wish you could live in for a week?

Answers

Answer:

Sponge-Bob, because that is the one I am the most familiar with.

Answer:

Voltron mainly because Keith is there and he’s so pretty. I’d like to give him some therapy too if possible and maybe make Klance possible .

Fred and Wilma are in the 33% tax bracket. Their joint taxable income is $205,375. If the first $16,050 is taxed at 10%, with the remainder at 33%, how much tax will they owe?

Answers

Answer:

$64,082.25

Step-by-step explanation:

$205,375-16,050=189,325

189,325×33% (or .30)=62,477.25

16,050×10% (or .10)=1,605

1,605+62,477.25=$64,082.25

Hi! This obviously not a question but if you need help on homework contact me! I can help with the following subjects: Math, English and History

Answers

Answer:

i will

Step-by-step explanation:

thanks

Answer:

dam you cant help me with my subjects

Step-by-step explanation:

WILL GIVE BRANILIST 2 BEST ANSWER

Kira’s office has two printers. The printing rate of printer 1 is shown in the table. The printing rate of printer 2 is shown in the graph

Indicate which proportional relationship, and explain how the other printer needs to change to become proportional.

Answers

a) The number of pages prints at t=0 is p0=0.
The number of pages prints at t=4 minutes is P1=64 pages.
The first coordinate of the graph is (a, b)=(0, 0).
The second coordinate of the graph is (c, d)=(10 min, 250 pages). The expression for the rate of the pages printed by the first printer is,

r1 = p1 - p0 / 4-0

Substitute the given values in the above expression.

r1 = 64 pages - 0 / 4 minutes - 0
= 16 pages / min

b) Printer 1 prints at an exponential rate. Both the x and y values increase by a constant ratio of 2. We can either use a logarithm of the first printer or find a constant number of documents it can print / time to become proportional.


What does 12 represent on the box plot?

Answers

A) The mean of the data
hope this helps

what is the inequality shown​

Answers

Answer:

-4 ≤ x ≤ 3

Step-by-step explanation:

Well, we can see that the endpoints land on -4 and 3 and the numbers between -4 and 3 are included. And since the endpoints -4 and 3 have colored dots, they are included as well. Therefore the inequality is -4 ≤ x ≤ 3.

Answer:

-4 ≤ x ≤ 3

Step-by-step explanation:

Because the circles are closed, we know that the inequaily sign will be either "≤" or "≥", meaning that the dotted points are included. Looking at the number line, we can see that the dots lie on points -4 and 3. Because -4 is less than 3, the sign will be a lesser than sign. The line inbetween includes all numbers between -4 and 3.

So, in conclusion, -4 ≤ x ≤ 3 is the inequality shown.

What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?
Oy=-3x - 2
Oy = -3x + 2
Oy = 3x + 2
Oy = 3x - 2
help pls my education depends on it

Answers

The answer is y = 3x - 2. To find slope, you subtract y2 - y1 and x2 - x1. In this case, y2 - y1 = 10 - 4 and x2 - x1 = 4 - 2. You would result in 6/2, which can be reduced to 3. Your slope is 3, so the first and second answer automatically are eliminated. Next, you could either draw it out on a coordinate plane or just visualize it. The starting point that goes through each line would be -2, which means D, or y = 3x - 2, is the correct answer.

What should be added to a⁴+a²+1 to make it a perfect square​

Answers

Answer:

[tex]a ^{2} [/tex]

a^4 + a^2 + 1

a^4 + a^2 + x + 1

a^2 ( a^2 + 1) + 1 ( x + 1)

so, here clearly we can see that If wee add a^2 in place of x it would be a perfect square..

Hope it helpz~

Which expression is equivalent to

-1 (6x +15) -3?
-
3

А- -2x + 12
B- -2x + 2
С- -2x - 2
D– -2x - 8

Answers

Answer:

D.  [tex]-2x-8[/tex]

Step-by-step explanation:

[tex]-\dfrac13(6x+15)-3[/tex]

[tex]=-\dfrac13\cdot6x-\dfrac13 \cdot 15-3[/tex]

[tex]=-\dfrac{6x}{3}-\dfrac{15}{3}-3[/tex]

[tex]=-2x-5-3[/tex]

[tex]=-2x-8[/tex]

Suppose m and n vary inversely and n=17 when m=-4. A) write an equation that models the variation . B) find n when m =-136

Answers

The equation that models the variation is -4 = k/17.

The value of n when m is -136 is 2.

What is inverse proportion?

When two variables vary inversely, as one variable increases, the other variable decreases.

The formula used to represent inverse proportion is:

m =  k/n

m = dependent variable n = independent variable k = constant of proportionality

-4 = k/17

k = 17 x -4 = -68

-136 = -68/ n

n = -136 /68

n = 2

To learn more about inverse proportion, please check: : https://brainly.com/question/25748643

#SPJ1

100 PTS PLS HELP

How can this quadrilateral be classified?

Select from the drop-down menus to complete the statements.

This quadrilateral has
Choose...
of parallel sides. Therefore, this quadrilateral is a
Choose...

Answers

This quadrilateral have.

Two pair of opposite sides Sides may not be equalAngle between them is not 90°

Its a parallelogram

Answer:

2 pairs of parallel sides

rhombus

Step-by-step explanation:

In geometry, arrows on lines mean that those lines are parallel.

Therefore, as one pair of opposite sides have 1 arrow, and the other pair of opposite sides have 2 arrows, this indicates that each pair of opposite sides are parallel.

Quadrilaterals that have 2 pairs of parallel sides are the rhombus and the parallelogram.  A rhombus is a parallelogram that has 4 sides of equal length.  As the side lengths of the given shape are equal in length, this quadrilateral is a special type of parallelogram called a rhombus.

7.
Which equation is correct?

Answers

The first answer is the correct one. Try to memorize the mnemonic “SOH-CAH-TOA” to help you for future problems. (See picture for detailed answer)

Simplify: 3(s + 5)

3s + 15
3s + 5
8s
18s

Answers

Answer:

3s + 15

Step-by-step explanation:

Here,

3(s + 5)

= 3(s) +3(5)

= 3s+15,,

Which of these sentences uses an appositive correctly?

A. That ladybug, a very delightful insect, just landed on my bedroom windowsill.

B. That ladybug a very delightful insect, just landed on my bedroom, windowsill.

C. That, ladybug a very delightful insect, just landed on my bedroom windowsill.

D. That ladybug a very delightful insect just landed on my, bedroom, windowsill

Answers

Answer:

The answer is A

Step-by-step explanation:

An appositive is usually used to describe a topic, and usually is near the beginning of a sentence or before or after a noun followed by a comma.

In this case “, a very delightful insect, “ comes after ladybug.

I tried my best to answer this question, thank you have a great day

o Watch help video
A survey stopped men and women at random to ask them where they purchased
groceries, at a local grocery store or online.

What percent of the people surveyed shop online? Round your answer to the nearest
tenth of a percent.

Answers

Answer: 35.7%

Step-by-step explanation: total number of people surveyed is 84

total number of online choice is 30

Percentage for online is 30/84 × 100/1

35.714%

A baker needs a total of 13 and one-third cups of flour to make four batches of cookies. how much flour, in cups, does she need for each batch of cookies? write and solve an equation to find the answer. startfraction 5 over 6 endfraction 3 and one-third 9 and one-third 12

Answers

Answer:

  (b)  3 1/3 cups

Step-by-step explanation:

The amount of flour per batch is found by dividing the given amount of flour by the given number of batches.

__

  (13 1/3 cups)/(4 batches) = (40/3 cups)/(4 batches) = (40/3)(1/4) cups/batch

  = 10/3 cups/batch = 3 1/3 cups per batch

Kendra is making 1/2 of a recipe. The full recipe calls for 4 1/4 cup of flour. How many cups of flour should Kendra use?​

Answers

If 1 recipe = 4 1/4 = 4.25 cups
Then 1/2 = 0.5 recipe = 0.5 x4.25
=2.125
=17/8 cups

Can someone please solve this please.

Answers

Answer:

A≈576.31

Step-by-step explanation:

surface area = bh + L(s1+s2+s3)

surface area = (13*11) + 13 * (10+11+14.87)

Without using a calculator evaluate 5×(88)²-720 using special algebraic identity​

Answers

Answer:

38000

Step-by-step explanation:

=5*(88)^2 -720

=5*7744 -720

=38720-720

=38000

I did it without using calculator

Other Questions
You can eliminate negative parts of your credit score by closing accounts that are overdue. If I have read a book at a rate of 20 chapters per hour. How many chapters does she read in 4 hours Were you able to give words or phrases associated to grammatical signals Select the correct answer.Oliver, a marketing manager, has created this visual to go with a business proposal. The proposal recommends discontinuing production of one of the companys three products because it isnt performing well. Which statement describes a change that would improve Olivers presentation?A. He should use a single color to represent all three products in the line graph.B. He should add text below the graphic to give extra information about the products.C. He should add a legend to indicate which line represents which product.D. He should delete the source cited at the bottom because it is irrelevant. Whats the answer???? Find The Mode Of The Data 2, 4, 5, 6, 7, 2, 3, 4. Within this module on "Thoughts & Acceptance," what is your favorite thing that you've learned and why? Please share in complete sentences ideas from the speaker that stood out and any moments that were meaningful. The mediastinum contains which of the following organs?A.HeartBEsophagusC.TracheaD.All of the above Which of the following is an impact of acid rain? Select all that apply.damage to structurespeeling of paintsleaching of ground nutrientsgrowth of phytoplankton Year19901995200020052010Cell PhoneSubscribers (millions)4.938.3118.1229.8360.4Use the exponential regression to find anequation that fits the data, where x is the yearssince 1990. Calculate the volume (in cm3) that 4. 00 cm3 of gas at 30 oC will occupy at 130oC when the pressure is kept constant 3k^2+12k-7kn-28n square meters and a length of 3k-7n meters. What expression represents the width of the rectangle? please help!!! asap!!!show all the steps that you use to solve this problem in the space providedFind the value of x. Round to the nearest tenth. The diagram is not drawn to scale. Chase is trying to push a 210 kg boulder along the street. he applies a force of 180 newtons over a distance of 2.3 meters. how much work has chase done? 10 of 50Question 10 ReviewWhich New York State location has surface bedrock that has been subjected to very intense regional metamorphism?1.4100' N 7215'W24230' N 7500' W34400' N 7600' W44430' N 7400' WSubmit AnswerHide Toolbar The endpoints of CD are (-2,-4) and D(6,2). What are the coordinates of the midpoints of CD Pls hurry and help me pls. Please no bots.Question in pics!! Fish weighs 135 pds the scale has error of up to 5%. What is the answer Doctor orders 100mg of amiordarone the bottle concentration is 5 mg/ml how many ml do you give?