1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marina CMI [18]
3 years ago
14

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed

iting) and variable costs (such as printing). The one-time fixed costs will total $44,144. The variable costs will be $9.25 per book. The publisher will sell the finished product to bookstores at a price of $24.75 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Please help.
Mathematics
2 answers:
Sergio039 [100]3 years ago
6 0

Answer:

  2848

Step-by-step explanation:

The cost function is ...

  c(n) = 44144 +9.25n

The revenue function is ...

  r(n) = 24.75n

You want revenue to equal cost (the break-even point).

  c(n) = r(n)

  44144 +9.25n = 24.75n

  44144 = 15.50n . . . . . . . . . subtract 9.25n

  44144/15.50 = n = 2848 . . . . . divide by the coefficient of n

The publisher must produce and sell 2848 books to make production cost equal to sales.

lidiya [134]3 years ago
3 0

Answer:

3

Step-by-step explanation:

  • the books are 9.25 each
  • multiply that by three
  • 27.75 is your answer
You might be interested in
How many 3/4 cup servings are there in 8 cups of berries?
White raven [17]
8/(3/4) = 8*(4/3) = 32/3 = 10 2/3

There are 10 servings of 3/4 cup
.. with 1/2 cup of berries left over.
7 0
3 years ago
Read 2 more answers
Find the approximate perimeter of ABC plotted below.
maksim [4K]

Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)}

AB = \sqrt{4 + 4}

AB = \sqrt{16}

AB = 4 units

✔️Distance between B(-2, 3) and C(3, -4):

BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)}

BC = \sqrt{25 + 49}

BC = \sqrt{74}

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)}

AC = \sqrt{47 + 25}

AC = \sqrt{74}

AC = 8.6 units (nearest tenth)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

8 0
3 years ago
How to work vector algebra
erica [24]

Vectors and vector addition:

A scalar is a quantity like mass or temperature that only has a magnitude. On the other had, a vector is a mathematical object that has magnitude and direction. A line of given length and pointing along a given direction, such as an arrow, is the typical representation of a vector. Typical notation to designate a vector is a boldfaced character, a character with and arrow on it, or a character with a line under it (i.e., ). The magnitude of a vector is its length and is normally denoted by or A.  Addition of two vectors is accomplished by laying the vectors head to tail in sequence to create a triangle such as is shown in the figure.  The following rules apply in vector algebra.where P and Q are vectors and a is a scalar. 

Unit vectors:

A unit vector is a vector of unit length. A unit vector is sometimes denoted by replacing the arrow on a vector with a "^" or just adding a "^" on a boldfaced character (i.e., ). Therefore, Any vector can be made into a unit vector by dividing it by its length. Any vector can be fully represented by providing its magnitude and a unit vector along its direction.

Base vectors and vector components:

Base vectors are a set of vectors selected as a base to represent all other vectors. The idea is to construct each vector from the addition of vectors along the base directions. For example, the vector in the figure can be written as the sum of the three vectors u1, u2, and u3, each along the direction of one of the base vectors e1, e2, and e3, so that Each one of the vectors u1, u2, and u3 is parallel to one of the base vectors and can be written as scalar multiple of that base. Let u1, u2, and u3 denote these scalar multipliers such that one has<span> </span><span>The original vector</span><span> </span><span>u</span><span> </span><span>can now be written as </span><span>The scalar multipliers</span><span> </span><span>u</span><span>1</span><span>,</span><span> </span><span>u</span><span>2</span><span>, and</span><span> </span><span>u</span><span>3</span><span> </span><span>are known as the components of</span><span> </span><span>u</span><span> </span><span>in the base described by the base vectors</span><span> </span><span>e</span><span>1</span><span>,</span><span> </span><span>e</span><span>2</span><span>, and</span><span> </span><span>e</span><span>3</span><span>. If the base vectors are unit vectors, then the components represent the lengths, respectively, of the three vectors</span><span> </span><span>u</span><span>1</span><span>,</span><span> </span><span>u</span><span>2</span><span>, and</span><span> </span><span>u</span><span>3</span><span>. If the base vectors are unit vectors and are mutually orthogonal, then the base is known as an orthonormal, Euclidean, or Cartesian base.</span>

 

A vector can be resolved along any two directions in a plane containing it. The figure shows how the parallelogram rule is used to construct vectors a and b that add up to c. <span>In three dimensions, a vector can be resolved along any three non-coplanar lines. The figure shows how a vector can be resolved along the three directions by first finding a vector in the plane of two of the directions and then resolving this new vector along the two directions in the plane. </span><span>When vectors are represented in terms of base vectors and components, addition of two vectors results in the addition of the components of the vectors.</span>

8 0
3 years ago
Read 2 more answers
Suppose you are traveling on business to a foreign country for the first time. You do not have a bus schedule, but you have been
maksim [4K]

Answer:

C

Step-by-step explanation:

Lucky guess I guess.

8 0
3 years ago
If (×)=×-4 wht does f(3) represent​
mario62 [17]

Answer:

you plug in the 3. so you get y= 3-4 which is -1

5 0
3 years ago
Read 2 more answers
Other questions:
  • When constructing a perpendicular line through a point on a line, how can you verify that the lines constructed are perpendicula
    10·1 answer
  • Generate an equivalent fraction for 3/4.prove answer with visuals
    15·1 answer
  • Find the area of the composite figure.
    12·2 answers
  • In the scale used on a blueprint,1/4 inch represents 2 feet.On the blueprint,what is the length of a room with an actual length
    13·2 answers
  • 0 divided by 0
    13·2 answers
  • Can i get help for this please
    5·2 answers
  • A shirt costs $30 but is on sale for 25% off. How much does the shirt cost after the sale?
    7·1 answer
  • Drag the expressions into the boxes to correctly complete the table.
    6·1 answer
  • What is 20 x 30 is give me the answer
    15·1 answer
  • Editors preparing a report on the economy are trying to estimate the percentage of businesses that plan to hire
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!