The function C(x)=300x+6,000 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $500?

Answers

Answer 1

Answer:

More than 30 items

Step-by-step explanation:

C(x)=300x+6,000

First, find c(x), the average cost function.

c(x)c(x)=C(x)x=300x+6,000x

The average cost function is shown below.

c(x)=300x+6,000x

We want the function c(x) to be less than 500.

c(x)<500

Substitute the rational expression for c(x).

300x+6,000x<500x≠0

Subtract 500 to get 0 on the right.

300x+,6000x−500<0

Find the LCD, and rewrite the left side as one quotient.

300x+6,000x−500xx−200x+6,000x<0<0

Factor the numerator to show all factors.

−200(x−30)x<0

Find the critical points when the numerator or denominator are equal to 0.

−200(x−30)−200≠0x−30x=0x=0=0=30

More than 30 items must be produced to keep the average cost below $500 per item.


Related Questions

If you answer all of these I will give brainliest if it will let me!!!!!
6x - x + 3 = _
-x - 2y - 8x - 2y = _
7p + 3 + 4p + 5 = _
2a + 4 + 2a + 9 = _
x + 5(6 + x) = _
4a - 3b - 7a - 3b = _
-3(6 - 2r) - 3r = _
-2(2x - 5) - 4x = _
2a + 3(2 + a) = _
2(x - y) + 3x = _
-4 (3m + 2n) - 5m + y = _
¼ (m + 2n) - ⅓ (3m - 3n) = _
⅖ (2a - b) + ⅔ (a + 2b) = _

Answers

Answer:

1-8

Step-by-step explanation:

I was only able to finish one through eight The rest follow the same concept though

select the digit in the ten thousand place for 542,970​

Answers

Answer:

the 4

Step-by-step explanation:

Answer:

The answer is 4

Step-by-step explanation:

500,000, 40,000, 2,000, 900, 70

Which of the following is a solution to the inequality below?
V + 12 < 0
V = -4
V = -5
V = -12
V = -8
Submit
TATO

Answers

Answer:

The anwser is:

C. V = -12

If 3^x=8 what does 3^-2x equal

Answers

Answer:

0.01538

Step-by-step explanation:

H2+2h-120

The first 2 (one after H) is square

Answers

Answer:

(h + 12)(h - 10)

Step-by-step explanation:

Assuming you require to factor the expression

Given

h² + 2h - 120

Consider the factors of the constant term (- 120) which sum to give the coefficient of the h- term (+ 2)

The factors are + 12 and - 10 , since

12 × - 10 = - 120 and 12 - 10 = + 2 , thus

h² + 2h - 120 = (h + 12)(h - 10) ← in factored form

h+12)⋅(h−10) because
See steps
Step by Step Solution:
More Icon
Reformatting the input :

Changes made to your input should not affect the solution:

(1): "h2" was replaced by "h^2".

STEP
1
:
Trying to factor by splitting the middle term

1.1 Factoring h2+2h-120
The first term is, h2 its coefficient is 1 .
The middle term is, +2h its coefficient is 2 .
The last term, "the constant", is -120

Step-1 : Multiply the coefficient of the first term by the constant 1 • -120 = -120

Step-2 : Find two factors of -120 whose sum equals the coefficient of the middle term, which is 2 .

-120 + 1 = -119
-60 + 2 = -58
-40 + 3 = -37
-30 + 4 = -26
-24 + 5 = -19
-20 + 6 = -14
-15 + 8 = -7
-12 + 10 = -2
-10 + 12 = 2 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 12
h2 - 10h + 12h - 120

Step-4 : Add up the first 2 terms, pulling out like factors :
h • (h-10)
Add up the last 2 terms, pulling out common factors :
12 • (h-10)
Step-5 : Add up the four terms of step 4 :
(h+12) • (h-10)
Which is the desired factorization

Final result :
(h + 12) • (h - 10)

Last week, there were 40 problems assigned for math homework. Nisa did 55% of them correctly. How many problems did Nisa get right?

Answers

Answer:

she get 22 percent 22/40 is 40 she is bad XD

5 The taxi goes by your hotel at 8:00, 8:15 and 8:30. The bus goes by your hotel at 8:00, 8:12 and 8:24. If neither the taxi or bus change their rates of speed, at what time will the bus and taxi arrive at the same time other than 8:00?

Answers

they will both meet at 9:00

Write 3/50 as a percentage

Answers

Answer:

6%

Step-by-step explanation:

i did some research and i hope i got this right if it isn't pls let me know

Answer:

6%

Step-by-step explanation:

3/50 as a percent is 6%

1. Which situation represents a chemical change!
A. burning a pile of twigs
B. boiling water in a teakettle
C. washing the mud off a dirty car

Answers

Answer:

tbh i think all of them are but go with C

Step-by-step explanation:

Answer:

burning and cooking are 2 examples of chemical change

Step-by-step explanation:

so I think it's is A. B can't be the answer because it's just boiling water since there's nothing in it, it's not really cooking

Evaluate x+(−21) when x=−27.

Answers

Answer:

-48

Step-by-step explanation:

Subsitute -27 for x

-27+(-21) when you add negatives you keep the negative sign

-48

Population was 249583 and is now 318270. What percentage has it grown in 10 years

Answers

Answer:

By about 28% has the city grown over the past ten years.

Step-by-step explanation:

Ten years ago, the city's population was 249,583. Its current population is 318,270. By about 28% has the city grown over the past ten years. [ Solution: Population of the city before 10 years = 249583; Current population = 318270; Population grown =318270-249583 = 68687; 68687/249583 = 0.2752; 0.2752 x 100 = 27.52%. ]

Answer:

[tex] \frac{318270}{249583} = 1.277[/tex]

It has grown by 0.277;

by percentage this is;

[tex]0.277 \times 100 = 27.7[/tex]

27.7% increase

what two numbers does square root 128 lie between

Answers

Answer:

11 and 12

Step-by-step explanation:

[tex]\sqrt{128} =11.3[/tex]

meaning it lies between 11 and 12

Would you classify 165 as a perfect​ square, perfect​ cube, both, or​ neither

Answers

Answer:

neither

Step-by-step explanation:

because the square root is not whole number and neither is the cube root of 165. so it is neither

Answer:

I would say neither

Step-by-step explanation:

It's not a perfect square. It's a bit close to say perfect cube. ∛165= ∛(5.485 x 5.485 x 5.485)

In triangle ABC, M is the midpoint of AB. Let D be the point on BC such that AD bisects angle BAC, and let the perpendicular bisector of AB intersect AD at E. If AB = 44, AC = 30, and ME = 10, then find the area of triangle ACE.

Help Please!

Answers

The area of Triangle ACE from the given diagram is; 150 sq.units

What is the area of the triangle?

We are given;

AB = 44

AC = 30

ME = 10

Now, to find the area of triangle ACE, we need to know the length KE where K is the midpoint of AC.

Now, since AD bisects angle BAC. This means that ∠KEA = ∠MEA.

By ASA Congruence Postulate, we can say that; ΔAEK ≅ AEM

Thus, we can say that KE = ME = 10

Formula for area of triangle is;

A = ¹/₂ * base * height

where;

base = AC = 30

Height = KE = 10

Thus;

A =  ¹/₂ * 30 * 10

A = 150

Read more about area of the triangle at; https://brainly.com/question/17335144

PLEASE HELPPP!!! 20 PTS!
solve for x and y

Answers

Answer:

x= 19

y= 14

vxgdhshsjsjsjajshdhshwhshshdhdhsjahzhxhdhszhshhdhshshsshhs

A box is 13.5 inches long, 9.25 inches wide, and 4.5 inches high. What is the volume of the box? Enter your answer, rounded to the nearest whole number, in the box.

Answers

Step-by-step explanation:

1st Step:

Volume of a cuboid : Length * Breath * Height

2nd Step :

Volume : 13.5 * 9.25 * 4.5

Which is equal to 561.9375

3rd Step:

Rounded up : 562

Answer:

562

Step-by-step explanation:

Which shows the solution to the inequality −4x > 36 A x > −9 C x < 9 B x > 9 D x < −9

Answers

Answer:

solution set of inequality 4x + 3 ≤5x + 7 is (-4, oo)

Renu save Rs. 3000 from her salary. If this is 10% of her salary what is her salary b) Find the area of parallelogram if the base is 20cm and the corresponding height is 5cm.​

Answers

Her salary = 3000/0.1 = 30,000

Area of parallelogram = base * height = 20 cm * 5 cm = 100 square cm

Hope that helps :3

The formula for distance traveled d is d=rt, where r is the average speed of the object and t is time traveled. if an object travels 30 meters in 20 seconds, what is its speed?

Answers

Answer:

1.5 meters per second.

Step-by-step explanation:

Distance formula:

d = rt

where d = distance, r = average speed and t = time traveled.

They told us that an object travels 30 meters in 20 seconds.

So we can say d = 30 and t = 20

if you put these values back into the distance formula you get:

d = rt

30 = r times 20

30 = 20 r

So now we want to find what "r" (average speed) is.

Divide both sides by 20.

20 r = 30

r =   = 1.5 meters per second.

In rectangle EFGH, EH I FG and EH crosses the y-axis at (0.-2). If the equation of the line containing FG is x + 3y = 12, write the equation of the line containing EH in slope- intercept form. Show your work to justify your answer.​

Answers

Answer:

y = (-1/3)x - 2

Step-by-step explanation:

First we should put the equation for FG into slope intercept form, which is y = mx + b. For this step, just solve for the y in the equation, which should be y = (-1/3)x + 4.

Next, since we know that FG and EH are parallel, their slopes must also be the same. We also know the (0, -2) is a point on EH, and also happens to be the y-intercept. Therefore, we can plug it back into the slope intercept equation and get y = (-1/3)x - 2, since the m is the same and the -2 is just the y-intercept given in the problem.

A man earns rs 24000 per month and spends 70% of it find his monthly saving​

Answers

Answer:

Savings=rs7200

Step-by-step explanation:

money spend=70% of 24000

=70/100*24000

=70*240

=rs 16800

savings=money earned-money spend

=24000-16800

=rs7200

Answer: rs 7200

Step-by-step explanation: So 70% of 24000 = 16800

                                             24000-16800=7200

so he spends rs 16800 per month and has a saving of Rs 7200 per month from his monthly salary.

How do I put a picture of my problem on here. Thanks

Answers

Answer:

There is something that looks like a paper clip and you put your photos there.

it looks like a paper clip when you go to type ur question please mark me brainliest

An athlete runs a distance of 345 metres (to the nearest metre) in a time of 44.6 seconds (to the nearest 0.1
second).
What is her slowest possible speed?​

Answers

Answer:

7.716 (with margin: 0.001)

Step-by-step explanation:

speed = distance ÷ time

For speed to be at a minimim you need distancemin ÷ timemax

Min distance = 345 - 0.5 = 344.5m

Max Time = 44.6 + 0.05 = 44.65 sec

speedmin=344.5 ÷ 44.65 = 7.7155..... = 7.716 m/s (3 dp)

The slowest speed possible of the athlete is required.

The minimum possible speed of the runner is 7.7 m/s.

Speed

d = Distance run by the athlete = 345 meters

t = Time taken by the athlete to cover the distance = 44.6 seconds

Speed is given by

[tex]s=\dfrac{d}{t}[/tex]

[tex]s=\dfrac{345}{44.6}[/tex]

[tex]s=7.735\approx 7.7 \text{m/s}[/tex]

The speed of the athlete should be at least 7.7 m/s any less than that and the athlete will not be able to cover the required distance in the given time.

Learn more about speed:

https://brainly.com/question/6504879

z^3 - z^2 + z for z = -10

Answers

Answer:

[tex] - 1110[/tex]

Step-by-step explanation:

STEP1:

1.1 10 = 2•5

(10)2 = (2•5)2 = 22 • 52

Equation at the end of step1:

((0 - (103)) - (22•52)) - 10

STEP2:

2.1 10 = 2•5

(10)3 = (2•5)3 = 23 • 53

Equation at the end of step2:

((0 - (23•53)) - (22•52)) - 10

STEP3:

Final result :

-1110

Please i need your help

Answers

i think the answer is b but im not sure!!!

Which of the following is a radius of D?
A. AB
B. BD
C. BC
D. AC

Answers

Answer:

BD

Step-by-step explanation:

the radius of a circle is the line from the centre of the circle to a point on the circle, then

BD is the radius of the circle.

The answer would be B. BD


Analyzing Bivariate Data
In this activity, you will draw a scatter plot and the line of best fit to analyze a situation.
Jeremy is on the planning committee for the rock climbing club. He is putting together a trip where members
can go outdoor rock climbing. He is trying to determine how high the group should climb and how long the
trip should last. He calls multiple parks in the area that offer rock climbing and collects data on the height of
the rock formations and the average time it takes people to reach the top and come back down. The data he
found is shown.
Time to Climb (min)
Height (ft)

It gives me a list of numbers in a chart

Time to climb : 30 ,45 , 115 , 87, ,160,60,135,117,55,145,95,150,67,120,100,88,138,75,167,120

Height: 85,120,289,194,434,241,351,339,180,400,248,370,155,296,271,255,315,215,405,317

Answers

Answer:

The line of best fit in scatter diagram, the variable have positive correlation.

Scatter Diagram is attached :

Step-by-step explanation:

The graph of y= -2x + 10 is:
A. a point that shows the yintercept. B. a line that shows only one solution to the equation.
C. a point that shows one solution to the equation.
D. a line that shows the set of all solutions to the equation,

Answers

Answer:

d is the right answer for your question

factor the given expression 14x4 + 2x3

Answers

Answer:

2x^3·(7x+1)

Step-by-step explanation:

*Common factor

14x^4+2x^3 ⇒ 2(7x^4+x^3)

*Find one factor

2x^3(7x+1)

write 15+45 as a product of two factors using the gcf and the distributive property

Answers

Answer:

15(1 + 3)

Step-by-step explanation:

15 written in its prime factors is 3 × 5 (15 × 1)

45 written in its prime factors 3 × 3 × 5 (15 × 3)

The greatest common factor is 15: 15 × 1 = 15 and 15 × 3 is 45

∴ 15 + 45 = 15(1 + 3)

Hope this helps! Make me brainiest, lol it's fine if you don't. : )

Other Questions
Place the events leading to the Declaration of Independence in chronological order from first to last. Which lines are parallel? Check all that apply. Lines b, c, d, e, f are cut by transversal a. Clockwise from top left, the angles formed by lines b and a are blank, 89. 5 degrees, blank, blank; by lines c and a are blank, blank, blank, 91. 5 degrees; by lines d and a are blank, blank, 89. 5 degrees, blank; by lines e and a are 88. 5 degrees, blank, blank, blank; by lines f and a are blank, blank, 90. 5 degrees, blank. B is parallel to f b is parallel to d c is parallel to e c is parallel to d d is parallel to f e is parallel to f. in a certain algebra two class of 27 students, 11 of them play basketball and 13 of them play baseball. There are five students who play neither sport what is the probability that a student chosen randomly from the class plays basketball or baseball? write the property of graphite? any two The Moon travels around the Earth at a speed of 3.68 x 10^3 kilometers per hour. If the Moon orbits the Earth every 27.3 days, then how far does it travel in one orbit around the Earth? Write the exact answer in SCIENTIFIC NOTATION. Do not round. Do not tell me the answer, I just want to know what to do. Such as: Do 3.68 x 10^3 and then do 27.3 / by 3.68 x 10^3. DO NOT TELL ME THE ANSWER, TELL ME WHAT TO DO Titan Mining Corporation has 8.1 million shares of common stock outstanding, 300,000 shares of 4.1 percent preferred stock outstanding, and 185,000 bonds with a semiannual coupon rate of 5.5 percent outstanding, par value $2,000 each. The common stock currently sells for $57 per share and has a beta of 1.15, the preferred stock has a par value of $100 and currently sells for $99 per share, and the bonds have 18 years to maturity and sell for 107 percent of par. The market risk premium is 6.6 percent, T-bills are yielding 3.3 percent, and the companys tax rate is 24 percent. a. What is the firms market value capital structure? (Do not round intermediate calculations and round your answers to 4 decimal places, e.g., .1616.) b. If the company is evaluating a new investment project that has the same risk as the firms typical project, what rate should the firm use to discount the projects cash flows? Letty's Laundry and Dry Cleaning incorporated and started business on January 1, 2016. 1 Letty's Laundry and Dry Cleaning began business by depositing $30,000 in a checking account in the name of Letty's Laundry and Dry Cleaning, Inc. for which common stock is issued. 2 Borrowed $6,000 from City Bank. 3 Purchased equipment from Washers Wholesale, $16,200. 4 Purchased supplies costing $3,000 from Suds 'n Stuff for cash. 5 Paid one month's rent for business space in Pine Plaza, $1,000. 6 Services provided to customers during January totaled $13,400. All services were paid for in cash. 7 Paid employees for January, $2,240. 8 Received and paid the utility bill, $500. 9 Received and paid the telephone bill, $250. 10 Paid dividends to the stockholders, $2,140. Indicate the effect of each transaction on the accounting equation by listing the numbers identifying the transactions, (1) through (10) in a vertical column, and inserting at the right of each number the appropriate letter from the following list: a. Increase in an asset, decrease in another asset. b. Increase in an asset, increase in a liability. c. Increase in an asset, increase in stockholders' equity. d. Decrease in an asset, decrease in a liability. e. Decrease in an asset, decrease in stockholders' equity Given: A (2, 3) and B(-1,4)Can someone pls awnser this fast Is the following question punctuated correctly?What makes me nervous, is that I entered the numbers of 2 of my Credit Cards that were not accepted, however, my VISA debit card number was accepted.If not please rewrite it with the correct punctuation. PLEASE HELP QUICKLY: (20 POINTS) Read this passage from The Story of an Hour. What can the reader infer that the open window, the open square, and the birds symbolize?There stood, facing the open window, a comfortable, roomy armchair. Into this she sank, pressed down by a physical exhaustion that haunted her body and seemed to reach into her soul.She could see in the open square before her house the tops of trees that were all aquiver with the new spring life. The delicious breath of rain was in the air. In the street below a peddler was crying his wares. The notes of a distant song which some one was singing reached her faintly, and countless sparrows were twittering in the eaves.There were patches of blue sky showing here and there through the clouds that had met and piled one above the other in the west facing her window.A. SecurityB. LoveC. Freedom Emberrassing moment, go! consider the following expression 3a + 7b + 4select all true statements.3a + 7b + 4 is written as a sum of three terms.3a and 4 are like terms.3a is a factor.4 is a constant.3a is a coefficient. please if you have time can you do this i will give brainliest if you do this for me and i will make it worth a good amount of points!! Write the name for the decimal value of point M on the number line. PLEASE HELP!!! I WILL GIVE BRAINLIEST I NEED THESE!!15. There are 24 more students in the seventh grade class than the number g in the eighth grade class. The seventh grade class has 160 students. Write and solve an equation to find the number of students in the eighth grade class.16. You rent a canoe for $5 per hour. Your cost before the tax is added is $12.50. Write and solve an equation to find the number of hours that you rented the canoe.17. The cost (in dollars) of making n birthday cakes is represented by C = 24n + 35How many birthday cakes are made when the cost is $395? this is a physics question please help For the circuit shown in (Figure 1), find the potential difference between points a and b. Each resistor hasR = 160 N and each battery is 1.5 V Can someone please give me the (Answers) to this? ... please ...I need help. Olivia was pocking up some of her old stuff into a box. A box can hold 8pounds, but she only filled it up full How much weight was in the bon?3/5 what does it mean to call a place home?