A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing, and variable costs
(such as printing). The one-time fixed costs will total $49,500. The variable costs will be $12 per book. The publisher will sell the finished product to
bookstores at a price of $23.25 per book. How many books must the publisher produce and sell so that the production costs will equal the money from
sales?
OD
Answer:
Break-even point in units= 4,400
Step-by-step explanation:
Giving the following information:
Fixed costs= $49,500
Unitary variable cost= $12
Selling price= $23.25
We need to calculate the level of sales that will result in a net profit of zero. We need to use the break-even formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 49,500 / (23.25 - 12)
Break-even point in units= 4,400
Samuel's air conditioning unit stopped working. He has to find a repair company to fix the unit. He decides to compare the costs of two companies based on their service fees and labor costs.
Cool Ar Plus charges a $25 service fee for coming out to the house. They also charge $25 per hour of work that they perform
- Cool Breeze Ar charges a $40 service fee for coming out to the house. They also charge $15 per hour of work that they perform
The system of linear equations shown can be used to represent this situation. In the system of linear equations, h represents the amount time (in hours) It takes the company to perform the work and C
the total cost in dollars) of the air conditioning work performed by the company
25h + 25 = c
15h + 40 = C
- Determine the point in time, in hours, when the two companies cost the same amount of money.
- Identify the cost of the repairs, in dollars, when the two companies cost the same amount of money,
Show your work or explain how you determined your answers.
Enter your answers and your work or explanation in the box provided
Answer:
(a) 1.5 hours
(b) They both charge $62.50
Step-by-step explanation:
The given linear equations are:
[tex]25h + 25 = c[/tex] ---- Cool Ar Plus
[tex]15h + 40 = c[/tex] --- Cool Breeze Ar
Solving (a): The time they charge the same amount.
To do this, we equate both equations
[tex]25h + 25 = 15h + 40[/tex]
Collect like terms
[tex]25h - 15h = 40 - 25[/tex]
[tex]10h = 15[/tex]
Divide both sides by 10
[tex]h = 1.5[/tex]
This implies that they charge the same at 1.5 hour
Solving (b): The same amount they charge
To do this, we substitute 1.5 for h in any of the given equations
[tex]25h + 25 = c[/tex]
[tex]25 * 1.5 + 25 = c[/tex]
[tex]62.5 = c[/tex]
[tex]c=62.5[/tex]
This implies that they charge $62.50
Jack's bank account had a balance of -$25.48 last week. His paycheck of $393.69 was deposited this week. If there have been no
other transactions, which of the following is true?
OA. Jack's current account balance is -$368.21.
OB. Jack's current account balance is $368.21.
Ос. .
Jack's current account balance is $419.17.
OD
Jack's current account balance is -$419.17.
Answer:
B
Step-by-step explanation:
because -25.48 - 393.69 is?
B) jacks current account balance is 368.21
PLEASE HELP I WILL GIVE YOU BRAINLIST
Answer:
1/6 ÷ 2
Step-by-step explanation:
i beleive this is the correct answer because you would be dividing the 1/6 of cereal by 2.
The poetry section of the library has 6 bookcases. Each bookcase has 3 shelves. There are 10 books on each shelf. How many total books are in the poetry section of the library? Show your work.
Answer: total books = 180
Step-by-step explanation:
Given: Poetry section of the library has 6 bookcases.
Number of shelves in each bookcase = 3
Total shelves = (Number of shelves in each bookcase) x (Number of bookcases in each poetry section)
= 3 x 6
= 18
Number of books in each shelf = 10
Total books = (number of shelves) x 10
= 18 x 10
= 180
hence, total books in the poetry section= 180
HELP ME ASAP PLEASEEEE
Answer:
A - False
B - False
C - True
D - True
E - False
F - True
G - True
H - True
Find the area of the triangle.
18.2 m
13 m
[? ] m2
Enter the exact answer. Do not round.
Answer:118.3
Step-by-step explanation:
=0.5*13*18.2
Which equation has a slope of -4 and a y-intercept of 7.
y=-4x+7
the -4 is the slope and the 7 is the y-intercept
Solve for x if 5x + 6 = 16
A) x=5
B) x=6
C) x=1
D) x=2
Answer:
the answer is D
Step-by-step explanation:
5x+6=16
-6 -6
5x=10
divide both sides by five
x=2
HELP ME ON THIS SCAVENGER HUNT PLZZZ ASAP
Answer:
#4 is anwser choice 3
#5 is anwser choice 2
Step-by-step explanation:
Scott works on cars. He charges a $75 repair fee plus $10 per hour. If Dave was charged $100 by Scott to work on his car, then 1) write an equation that represents the hours, h, Scott worked on his car. How many hours did Scott work on Dave's car?
Answer:
equation: y= 10x + 75
Hours (x)= 2.5 hours
Step-by-step explanation:
y= 10x + 75
100 = 10x + 75
-75 -75
25 = 10x
/10 /10
x = 2.5
Answer:
1). Inequality: 10h + 75 = 100.
2). Scott worked on his car for 2.5 hours.
Show Work:
Finding out The Inequality -
Sign: = (Equal Sign)
Variable: h (h for hours)
Coefficient: $10 per hour
Constant: $75 repair fee
Total: $100 was charged
Inequality: 10h +75 = 100
Figuring out the Inequality
10h +75 = 100
-75 - 75
0 25
10/10 = 1 25/10 = 2.5
h = 2.5
Explain:
With the Inequality I made with the Key concepts of the Word problem, I Started to answer the Question. First, I Subtracted 75 from 100 and 75, so I can see the Amount of Money Dave owes Scott without the Repair fee. 75 - 75 = 0, so I crossed it out, and 100 - 75 = 25. Then I bought the 10h down, so I could Divide it so I can get the Variable and the Answer together. So Because 10 was being Multiplied to the Variable h, I Had to do the opposite, so I divided 10÷10, and 25÷10. 10÷10 = 1, so I crossed it out, and 25÷10 = 2.5. So Scott worked on Dave's car for 2 and a half hours.
The side lengths 9, 13, and 17 form a triangle.
TrueFalse
Answer:
Yes. As long as the sum of two sides is greater than the third side a triangle can be formed.
Step-by-step explanation:
The median of 50 50 54 56 60 62 63 64 79 72 72
Answer:
62
Step-by-step explanation:
50,50,54,56,60,62,63,64,79,72,72,
median ids the number at the center
50,50,54,56,60(62)63,64,79,72,72
Joseph bought a 2 pound bag of coffee for $14.95. What is the price per ounce?
Answer:
0.46 or 0.47
Step-by-step explanation:
A pound is 16 ounces
16 x 2 = 32
14.95 ÷ 32 = 0.4671875
Since cents only goes to the top ten, depending on the question, it will either be 0.46 or rounded to 0.47
The required price per ounce of coffee would be $0.47 per ounce.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings.
For example 4/2 = 2
To calculate the price per ounce.
We have to divide the cost of the bag of coffee by the number of ounces it contains.
As per the given question, the required solution would be as:
There are 16 ounces in a pound, so the 2-pound bag of coffee contains :
⇒ 2 × 16 = 32 ounces.
To find the price per ounce, divide the price of the bag of coffee by the number of ounces it contains:
⇒ $14.95 / 32 ounces
Apply the division operation, and we get
⇒ $0.47 per ounce.
Therefore, the price per ounce of coffee would be $0.47.
To learn more about the division operation click here :
brainly.com/question/25870256
#SPJ2
can someone please help me with this, thank you sm.
Answer:
y = 7/4x + 5
Step-by-step explanation:
14x - 8y = 80
-8y = -14x + 80
8y = 14x - 80
y = 7/4x - 10
Slope: 7/4
As long as the slope is 7/4, they will be parallel
Answer:
[tex]\frac{7}{4}[/tex]
Step-by-step explanation:
14x - 8y = 80
- 8y = - 14x + 80
- 4y = - 7x + 40
y = [tex]\frac{7}{4}[/tex] x - 10
To multiply (6x + 5) (6x – 5),
you can use the pattern:
(a + b) (a - b) = a2– b2
What are the values of a and b?
Enter your answers in the boxes below.
Answer:
a = 6x
b = 5
Step-by-step explanation:
(a + b) (a - b) = a^2 - b^2
(6x + 5) (6x - 5)
The required values are [tex]a=6x[/tex] and [tex]b=5[/tex].
Important information:
The given expression is [tex](6x+5)(6x-5)[/tex].Difference of squares:We know that:
[tex](a+b)(a-b)=a^2-b^2[/tex] ...(i)
We have,
[tex](6x+5)(6x-5)[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=6x[/tex]
[tex]b=5[/tex]
Therefore, the required values are [tex]a=6x[/tex] and [tex]b=5[/tex].
Find out more about 'Difference of squares' here:
https://brainly.com/question/385295
Write an expression equivalent to -9y + 2x + 3 - 7x + 4y.
Answer:
-5y - 5x + 3 EASY MATH
Step-by-step explanation: Because its just easy
GIVE BRAINLEIST WHEN U CAN PLEASE
x=6
y=2x-3
i’m doing Solve Systems of Equations by Substitution.
y=9
Step-by-step explanation:
y=2(6)-3
y=12-3
y=9
what is a linear inequality that has (5,0) as a solution, passes through the origin, and has a positive slope?
I will mark whoever answers as a brainliest tysm :)
Answer:
y ≥ x - 5 fits the criteria. It is not the only applicable line, there are infinite possibilities.
Step-by-step explanation:
The slope of 1 is positive. The y-intercept of -5 means the line will pass through (5,0) via this slope. In this case, both >= and <= (thus a simple equal sine would work too, though not an inequality) qualify within the provided example.
You are trying to find the area of a deck that is surrounding a rectangular pool. The length of the deck is 2x + 1 and the width is 5x + 2. The pool is a square with sides of 2x. Write a Polynomial that represents the area of ONLY the deck
Answer:
6x² + 9x + 2
Step-by-step explanation:
The pool is a square with a side length of 2x.
The area of the pool = length * length = 2x * 2x = 4x²
The area of the deck surrounding the pool has length of 2x + 1 and width of 5x + 2. Therefore:
The area of the deck surrounding the pool = length * width = (2x + 1)(5x + 2) = 10x² + 4x + 5x + 2 = 10x² + 9x + 2
Area of the deck only = area of the deck surrounding the pool - area of pool = (10x² + 9x + 2) - 4x²
Area of the deck only = 6x² + 9x + 2
Helppp puhleez! REEEE
Answer:
Vete a la mierda
Step-by-step explanation:
Answer:
give me points
Step-by-step explanation:
i want points
also 82 84 86
Lin says that a snack machine is like a function because it outputs an item for each code input.
Which function is most likely graphed on the coordinate plane below?
Answer:
2nd one
Step-by-step explanation:
can u please help me with this??
Answer:
tor buda igffv ety our acc oohv
Please will anyone help me out with this math problem? I will give them a crown.
Answer:
a. 450 b. 10078.9097
Step-by-step explanation:
a. go with the formula W=FD
F= force
W= work done
D= distance
b. go with the formula F=mgcos(x)
M= mass
G= gravity constant (9.8)
then get to the normal formula of W=FD after getting the Force
The number of hours that the employees at the grocery store worked last week is normally distributed with a mean of 24 and a standard deviation of 6. If there are 60 total employees, approximately how many worked at least 30 hours last week?
Answer:
10 employees worked at least 30 hours last week
Please i need the answer ASAP!!!! will mark brainliest if i can!
A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function r(t) = 3t, where t represents time in minutes and r represents how far the paint is spreading.
The flowing paint is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2.
Part A: Find the area of the circle of spilled paint as a function of time, or A[r(t)]. Show your work.
Part B: How large is the area of spilled paint after 10 minutes? You may use 3.14 to approximate π in this problem.
find the equivalent expression of 6^-7
Answer:
11Step-by-step explanation:
6+5=11and i need more points
7.5 kilometers = ___ miloleters
Answer:
7.5e+6 millimeters (7,500,000 millimeters)
what does quadratic mean?