A company makes pencils. they sell each pencil for $10.
Their revenue is represented by R= 10x
The cost to make the pencils is $3 each with a one time start up cost of $5000.
Their cost is represented by C= 3X+5000

1.Find the profit, P, (P=R-C) when the company sells 1000 pens.
2. Find the number of pens they need to sell to break even ( when R=C)

Answers

Answer 1

We have the profit fomula:

P = R - C

= $10.x - ($3.x + 1000)

= $7.x - 1000

1. If the company sells 1000 pens:

P = $7 . 1000 - $1000

= $6000

2. If they want to break even:

P at least = 0

Assume P = 0

=> $7.x - $1000 = 0

=> x = 1000/7 ≈ 142,86

So if they want to break even, they have to sell at least 143 pens


Related Questions

The table below shows a student's quiz scores on six quizzes.

Scores
15
9
8
13
10
11


Find this student's median quiz score

Answers

Answer: 10.5

Explanation: The median is the middle number and since there’s an even amount of numbers you’ll have to go between the numbers. For example, 8,9,10,11,13,15. Between 10 and 11 is 10.5 which is the answer.
The answer is 25 because I know

A zoo orders food in bulk for its animals. They order enough fresh fruit to last 10 days, enough fresh vegetables for 7 days, and enough dried insects for 5 days. If they last ordered fresh fruit, fresh vegetables, and dried insects on January 1, in how many days will they need to order all three items on the same day?​

Answers

Answer:

350

Step-by-step explanation:

Answer:

70 days

Step-by-step explanation:

Given that,

→ fresh fruit to last 10 days

→ fresh vegetables for 7 days

→ dried insects for 5 days

Then in how many days will they order all three items on the same day?

Then the LCM of 10, 7 & 5 is,

→ 2 × 5 × 7

→ 10 × 7 = 70

Hence, the answer is 70 days.

K
What is 0.514 written as a power of 10??

Answers

Answer:

To write this is true scientific notation the decimal point needs to be moved 1 place to the right so the exponent for the 10s term will be negative:

0.514=5.14×10

−1

Answer:5.14

Step-by-step explanation:

147 divided by 7
(Explanation needed please)

Answers

Answer: 21

Step-by-step explanation:

Use a calculator

21 is going to be your answer

Guys can you help me with this FAST!!

Answers

Answer:

1/6

Step-by-step explanation:

30+20= 50

200+100= 300

you divide 50÷300 and you get 1/6

(3x-5) + (x+1) = 180

Answers

The value of 'x' for the given expression is calculated as (x = 48).

What is defined as the linear equation in one variable?

A linear equation in one variable is an equation that has only one solution.

It is expressed in the form ax+b = 0, where a and b are two integers and x is a variable. The numbers a' and b' are real numbers.'a' and 'b' are both greater than zero.2x+3=8, for example, is a linear equation with a single variable.

Now, for the given expression;

(3x-5) + (x+1) = 180

Open the brackets.

3x-5 + x+1 = 180

Add the similar parts;

4x - 4 = 180

Further simplifying;

4x = 180 + 4

4x = 184

x = 184/4

x = 48

Therefore, the value of 'x' is estimated as 48.

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How do I graph this line with slope of 1/3 passing through the point (-1, -1)

Answers

Answer: See attached

Step-by-step explanation:

Masha bought red, green, and yellow balloons for a party. She bought 40 red balloons. The number of green balloons Masha 3 bought is of the number of red balloons. The number of green 5
balloons is also 2 3 of the number of yellow balloons.
How many balloons did Masha buy for the party?

Answers

Answer:

its 100 ez bro

Step-by-step explanation:

Answer: 100 balloons

Step-by-step explanation:

because it is 100 balloons

( 1/2 x 1/3) x 1/4 = 1/2 x (1/3 x 1/4)
A. Reflexive
B. Commutative
C. Associative
D. Distributive

Answers

Answer:

The answer is commutitve

Check all relationships

Complementary
Linear pair
Adjacent
Vertical
Supplementary

Answers

Answer:

[tex]\implies[/tex]The answer is Adjacent and Complementary.

Step-by-step explanation:The two corners are complementary and adjacent to each other.So select Adjacent and Complementary.

A blueprint of a house shows a dining room wi an area of 7 square inches. If the blueprint' scale is 1 inch : 6 feet, what would be the act area of the dining room? 1​

Answers

The Actual area of the dining room is: 252 square feet.

How to Find the Actual Area Using Scale?

Given that the area of the house on a blue print = 7 square inches.

Scale of the blue print = 1 inch : 6 feet.

Therefore, we would have the following proportion:

Area on blue print/actual area = square of the scale

7/actual area = 1²/6²

7/actual area = 1/36

Actual area = (7)(36)

Actual area = 252 square feet.

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Answer: Actual area (252 square feet).

Explanation:

How to Find the Actual Area Using Scale?

Given that the area of the house on a blueprint = is 7 square inches.

The scale of the blueprint = is 1 inch: 6 feet.

Therefore, we would have the following proportion:

The area on the blueprint/actual area = square of the scale

7/actual area = 1²/6²

7/actual area = 1/36

Actual area = (7)(36)

Actual area = 252 square feet.

Hope it helps!

PLEASE HELP!!!!!
A. What is 4.186 rounded to the nearest tenth?
B. What is 2.758 rounded to the nearest tenth?
C. What is 72.05 rounded to the nearest tenth?
D. What is 45.64 rounded to the nearest tenth?
E. What is 82.156 rounded to the nearest tenth?
F. What is 41.31 rounded to the nearest tenth?
G. What is 29.16 rounded to the nearest tenth?
H. What is 17.054 rounded to the nearest tenth?
I. What is 11.65 rounded to the nearest tenth?
J. What is 0.83 rounded to the nearest tenth?
K. What is 29.16 rounded to the nearest tenth?
L. What is 12.48 rounded to the nearest tenth?
M. What is 0.91 rounded to the nearest tenth?
_______________________________________________________
N. What is 20.5 rounded to the nearest whole number?
O. What is 13.71 rounded to the nearest whole number?
P. What is 71.23 rounded to the nearest whole number?
Q. What is 36.57 rounded to the nearest whole number?
R. What is 17.89 rounded to the nearest whole number?
S. What is 50.147 rounded to the nearest whole number?
T. What is 19.05 rounded to the nearest whole number?
U. What is 7.61 rounded to the nearest whole number?
V. What is 92.38 rounded to the nearest whole number?
W. What is 57.25 rounded to the nearest whole number?
X. What is 16.3 rounded to the nearest whole number?
Y. What is 44.08 rounded to the nearest whole number?
Z. What is 17.9 rounded to the nearest whole number?
1. What is 9.06 rounded to the nearest whole number?

Answers

A. 4.2
B. 2.8
C. 72.1
D. 45.6
E. 82.2
F. 41.3
G. 29.2
H. 17.1
I. 11.7
J. 0.8
K. 29.2
L. 12.5
M. 0.9
N. 21
O. 14
P. 71
Q. 37
R. 18
S. 50
T. 19
U. 8
V. 92
W. 57
X. 16
Y. 44
Z. 18

Bill's school is selling tickets to a fall musical.
On the first day of ticket sales the school sold 1 adult ticket
and 6 child tickets for a total of $52.
The school took in $66 on the second day by selling 1 adult
ticket and 8 child tickets.
Find the price of an adult ticket.
•$3
•$10
•$7
•$9

Answers

By solving a system of equations, we can see that the adult ticket costs $10.

How to find the price of the adult ticket?

Let's define the two variables:

x = price of the adult ticket.y = price of the child ticket.

With the given information, we can write a system of equations:

1*x + 6*y = $52

1*x + 8*y = $66

By taking the difference between the two equations we get:

(1*x + 8*y) - (1*x + 6*y) = $66 - $52

2y = $14

y = $14/2 = $7

Now that we know the value of y, we can find the value of x.

Replacing the value of y in the first equation we get:

1*x + 6*$7 = $52

x = $52 - 6*$7 = $10

With this, we know that the adult ticket costs $10.

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Which is an illustration of the associative
property?
a. (b.c) = (b.c).a
α · b = α
a (b.c) = (a.b).c
a.b=b.a

Answers

The associative property of multiplication states:

If a, b, and c are ≠ to 0, then a•(b•c)=(a•b)•c

Essentially, it states that the order in which numbers are grouped and multiplied does not matter.

Landon was making snacks for his family for the week. He used 25/35 of a pound of peanuts. Additionally he use 1/7 of a pound of almonds. At the end of the week, he determined that 3/5 of the snacks were leftover. At the end of the week, how much snacks, in pounds, was used?

Answers

Landon used an amount of 4 / 7 of a pound of snacks for his family of the week.

How to estimate the amount of snacks spent per week

In this problem we must determine the total amount of snacks used by Landon in a period of a week, which is found by the summing fractions. Then, we must solve the following linear equation:

(3 / 5) · x = x - 25 / 35 - 1 / 7

(3 / 5) · x = x - 25 / 35 - 5 / 35

(3 / 5) · x = x - 20 / 35

x - (3 / 5) · x = 20 / 35

(2 / 5) · x = 20 / 35

7 · x = 10

x = 10 / 7

And the amount of snack used is determined by the following subtraction:

z = (2 / 5) · (10 / 7)

z = 20 /35

z = 4 / 7

Landon used an amount of 4 / 7 of a pound of snacks for his family of the week.

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6) What is 1.333... in fraction form?

Answers

Answer:

It would be 1333/1000.

Please help with this question I will give you brainliest

Answers

Answer:

89.50 = 7.75 + 27.25p

subtract 7.75 from both sides

89.50 - 7.75 = 27.25p

81.75 = 27.25p

divide both sides by 27.25

p = 81.75 / 27.25

p = 3

Step-by-step explanation:

The number of people who can go to the amusement park is 3 people

Answer: p=3

Hence, the Linear Equation in two variables is used to determine the total number of people who go to the park is - y=7.75+27.25p

Step-by-step explanation:

89.50=7.75+27.25p

89.50-7.75+27.25p

81.75=27.25

81.75/27.25

p=3

Find all integer solutions of each system of inequalities.
a) 6-4b>0
3b-1>0
b) 3-18x<0
0.2-0.1x>0

Answers

Answer:

A: [tex]b < \frac{3}{2}[/tex] and the second equation is: [tex]b > \frac{1}{3}[/tex]

B: [tex]x > \frac{1}{6}[/tex] and the second equation is: [tex]x < 2[/tex]

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Hope this helps!

Have a great day and God bless! :)

1. Jon waits on tables and is paid $6.75an hour. In a 40-hour period, he earned $310.50 in tips. What were his total earnings?

Answers

Answer:

$617.25

Step-by-step explanation:

$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25

Answer:$580.50

Step-by-step explanation:

:)

an angle measures 85.2 less then the measure of its supplemetary angle . what is the measure of the angle

Answers

Answer:

94.8

Step-by-step explanation:

supplementary angle = 180°

180 - 85.2 = 94.8

Answer: 47.4 degrees

Step-by-step explanation:

A=measure of angle

S=Angle A's supplementary angle

Supplementary Angle=180 degrees

A+85.2=S

A+S=180

A+A+85.2=180

2A+85.2=180.0

2A=94.8

A=47.4 degrees

II. What are the coordinates
of A' using the rule
(x, y) (x-3, y+7)?
A(2, 5)

Need help

Answers

Answer:

so xtime sy ,fe fwvnvf nfdv bregbrrsikrwnknrhvnk vnf vknvns;;abjwrjkgwnkgwjknnnxnfnfsvmsr


Given mn, find the value of x
118%

Answers

x=62 bec 180-118=62.

Step-by-step explanation:

180=118-x

180-118=x

x=62

Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original price of $13.50 ​each, but later decreased the price of each by ​$4.00. If they sold all 91 pieces and took in $972.50​, find how many they sold at the original price and how many they sold at the reduced price.

Answers

The number sold at the original price is 27 and they sold 64 at the reduced price.

How to calculate the value?

Let x = number of pieces sold at 13.50

Let y = number of pieces sold at 9.50

The equation will be:

x + y = 91. ..... i

13.50x + 9.50y = 972.50 ..... ii

From equation i x = 91 - y

13.50x + 9.50y = 972.50

13.50(91 - y) + 9.50y = 972.50

1228.50 - 13.50y + 9.50y = 972.50

1228.50 - 4y = 972.50

4y = 1228.50 - 972.50

4y = 256

y = 256/4

y = 64

Since x + y = 91

x = 91 - 64 = 27

Therefore, the number sold at the original price is 27 and they sold 64 at the reduced price.

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7th-grade question
5. Sara used 4 1/2 packs of pencils in the first 1/4 of the year. At what rate
is Sara using pencils?
A. 1 1/8 packs per year
B. 6 packs per year
C. 16 1/8 packs per year
D. 18 packs per year

Answers

4 1/2 times 4= 18 packs per year


We get 4 above by adding 1/4 four times to complete a period of 1 year.
1/4 + 1/4 +1/4 + 1/4= 1 year

the inequality always, sometimes, or never true
4x8> 1 + 4(x + 3)

Answers

The given inequality  is never true which means it has no solutions. If an inequality has no actual solution, then there aren't any numbers that might be used to solve it and make the statement true. An inequality can be made true by substituting any real number into it if the solution to the inequality is all real numbers.

Given the expression is 4x ₋ 8 > 1 ₊ 4(x₊3)

first apply the distributive property.

4x ₋ 8 > 1 ₊ 4x ₊ 12

now combine the like terms.

4x ₋ 8 > 4x ₊ 13

Variables should be moved to the equation's left side.

4x ₋ 4x > 13 ₊ 8

combine like terms.

0 > 13 ₊ 8

calculate the sum.

0>21

This is the solution of inequality which has no solutions.

Hence the inequality of the expression is never true.

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I started golfing again recently and I've played 5 rounds of golf with the following scores: 92, 88, 85, 90, and 89. What score would I need the next time I play to have an average below 88.

Answers

The next score should by less than 84 to have an average below 88.

What is an average?

The term average is the sum of all the numbers divided by the total number of values in the set.

Mathematically,

Average = Sum of the observations/number of observations

Now given that,

Scores = 92, 88, 85, 90, and 89

Rounds = 5

Let x be the score the score for next round or sixth round.

So, According to question,

Average < 88

So, Average = Sum of the scores/number of rounds

⇒  Average = (92 + 88 + 85 + 90 + 89 + x)/6

⇒  Average = (444 + x)/6

⇒ (444 + x)/6 < 88

⇒ (444 + x) < 528

⇒ x < 528 - 444

⇒ x < 84

Thus, the next score should by less than 84 to have an average below 88.

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Use properties of exponents and logarithms to evaluate the expression as a rational number.

Answers

y= 1/16 is the solution of the equation  where y is [tex]e^{-2ln4}[/tex]

The expression is given to be [tex]e^{-2ln4}[/tex]

The formula is given to be [tex]e^{lnx} =x\\[/tex]

also it is given that ln[tex]e^{x}[/tex]=x

Now to find and evaluate [tex]e^{-2ln4}[/tex]

let y=[tex]e^{-2ln4}[/tex]

taking ln both sides,

ln y = ln[tex]e^{-2ln4}[/tex]

ln y= -2 ln4

ln y= ln 4^-2

Removing ln from both sides,

y = 4^-2

y=1/16

Thus , y= 1/16 is the solution of the equation

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PLEASE GEKO ME EHFND

Answers

Answer: 164 degrees

Step-by-step explanation:

IHG=JHG+IHJ

19x-7=84+7x+17

19x-7=101+7x

12x-7=101

12x=108

x=9

IHG=19x-7

IHG=19(9)-7

IHG=171-7

IHG=164 degrees

If =164 my answer to the question

Patricia wishes to have a rectangular garden in her backyard. She has 88 ft of fencing with which to enclose her garden. Letting x denote the width of the garden, find a function f in the variable x giving the area of the garden.

Answers

The area of the rectangular garden in terms of a function in x is given by 44x - x²sq. ft.

What is the area of a rectangle?

A rectangle is a closed geometric figure with opposite sides equal to each other. The area of this rectangle is given by the product of its length and width.

Calculating the area of a rectangular garden in terms of a function in x

Let us consider a variable x that denotes the length of a rectangular garden

Given perimeter of a rectangular garden is 88 ft with y as the width of a rectangular garden

Perimeter = 2×(length + breadth)

88 = 2(x + y)

44 = x + y

y = 44 - x

Area of a rectangular garden = xy

= x(44 - x)

= 44x - x² sq. ft

Hence, the area of a rectangular garden in terms of a function in x is given by 44x - x² sq. ft.

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Which expression shows that 11 + 7 = 5 + 13? A. (5 + 6) + 7 = 5 + (6 + 7) B. 6 + 6 + 6 = 18 C. 5 + 9 + 4 = 6 + 7 + 5 D. (11 + 4) + 3 = (5 + 7) + 6 Please select the best answer from the choices provided A B C D

Answers

Answer:

A? maybe because its (5 +6)+7=5

hope it will help

Answer:

The answer is A.

Step-by-step explanation:

a+b=c+d

Given the expression,

11 + 7 = 5 + 13, where a= 11

b= 7

c= 5

d= 13

From the options, taking option A:

(5 + 6) + 7 = 5 + (6 + 7)

5 + 6= 11= a

7 = 7= b

5 = 5= c

6 + 7 = 13= d

Therefore from the comparison above, we can see that option A is the best form of expression that correctly interpretes the given expression

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(A) Identify the constitutional clause that is common to both Gill v Whitford (2018) and Shaw v. Reno (1993). (B) Based on the constitutional clause identified in part A, explain why the facts of Shaw v. Reno are different than Gill v Whitford. (C) Describe an action that members of the public can do to impact future redistricting in their state. Each year a certain amount of money is deposited in an account which pays an annual interest rate of r so that at the end of eachyear the balance in the account is multiplied by a growth factor of z=1+r.$500 is deposited at the start of the first year, anadditional $200 is deposited at the start of the next year, and $600 at the start of the following year.a. Write an expression for the value of the account at the end of three years in terms of the growth factor z Needing help pretty bad on this one If anyone can help thatll be greatly appreciated chapter 10 to 16 summary banana heart summer (need 10 sentences please) Calculate the energy of an electron at n=2 in butadiene. bermeo, sarah blodgett. "aid allocation and targeted development in an increasingly connected world." international organization, vol. 71, no. 4, 2017, pp. 73566 Hans has been a guard at Buchenwald for five years now. He hears about the construction of new camps, such as Treblinka 2 and Sobibor. He hears that a position in one of these camps could be especially good for career advancement. How would things have changed for Hans if he had transferred to Treblinka 2?A. Treblinka 2 was a work camp and the officials reported to a different branch of the SS.B. The guards at Treblinka 2 were not a part of the SS but were considered military soldiers.C. Camps like Treblinka 2 were for extermination, and officials there reported directly to Hitler.D. Treblinka 2 reported to the German government in Poland, so guards were paid with land. A tablet data provider offers different plans for data usage. The plan Raul chose has a monthly fee of $29.99 per month for 5 GB if data with an additional cost of $10 for each gigabyte over 5. a. Write an expression for Rauls monthly data costs.b. Raul learns that his data provider is iffy unlimited data plan for $59.99 per month. Find the minimum number if gigabytes Raul could use per month to make the unlimited plan cheaper than his current plan. Explain your solution process. Is a rocket in the process of launching, Balanced or Unbalanced force? Based on Gulliver's descriptions, what does the king of Brobdingnag conclude about theEnglish? "We had no alternative except to prepare for direct action." Why does King believe there is no other alternative? if martha can rake the yard in 4 hours and her brother can rake the yard in 8 hours, how long does it take them to do it together? 15) 1 The formula of methane is CH4 and the formula of ethane is CH6.Which row describes diffusion and the relative rates of diffusion of methane and ethane? 7th- Grade question8. A bottle contained 3 7/12 cups of juice. Then Mark drank 1 1/6 cups of thejuice. How much juice was left in the bottle?A. 2 1/12 cupsB. 2 1/6 cupsC. 2 5/12 cupsD. 2 5/6 cups what field of work has been most impacted as dna technology has improved? banking forensic analysis international trade electronics manufacturing Represent the sample space using set notation.4) A bag contains one red marble and twogreen marbles. You randomly pick amarble and keep it to play with. Thenyour friend picks a marble from the bag. How many oz in a pound EXERCISE 3: Synonyms and AntonymsUse the synonyms and antonyms in the word list to fill in the blanks except where you see an X. a person owns one unit in a multi-unit structure together with a specified undivided interest in the common elements. the ownership interest best describes a What is the typical magnification of an ocular lens? What other magnifications are possible?(Subject science)