A book publisher found that the cost to produce 1000 calculus textbooks is $26,300, while the cost to produce 2000 calculus textbooks is $52,900. Assume that the cost C(x) is a linear function of x, the number of textbooks produced. What is the marginal cost of a calculus textbook?

Answers

Answer 1

Answer:

$26.60

Step-by-step explanation:

Calculation for the marginal cost of a calculus textbook

Marginal cost =($52,900-$26,300)/(2,000-1,000)

Marginal cost=$26,600/1,000

Marginal cost=$26.60

Or

First step

$52,900=2,000x +c equation (1)

$26,300= 1,000x+c equations (2)

Second step is to subtract equation (1) from equation (2)

$52,900=2,000x +c equation (1)

-$26,300= 1000x+c equations (2)

$26,600=1,000x

Third step is to find the marginal cost

$26,600=1,000x

x=26,600/1,000

x=$26.60

Therefore the marginal cost of a calculus textbook will be $26.60


Related Questions

Which expressions are equivalent to 6 to the fourth power?

4•6
6•216
36•36
6•6•6•6
6•64

Answers

Answer:

6x6x6x6

Step-by-step explanation:

Answer:

the 4th one

Step-by-step explanation:

6.6.6.6

Solve for x: 32 +4= 9r + 3

Answers

Answer:

x = 11/3 or in decimal form x =3.6

Step-by-step explanation:

17. Jenny is saving for a new 4-wheeler. The one she wants will cost her $784 total. She has saved $495 so far. If she is able to save $60 per week, how many weeks will it take for her to save at least $784?​

Answers

Answer:

5 weeks

Step-by-step explanation:

The difference of ten times a number and three is -13

Answers

Answer:

10n - 3 = -13

Step-by-step explanation:

help
plz (A) 4.00
(B) 0.25
(C) 1.00
(D)0.10

Answers

Answer:

0.25

Step-by-step explanation:

2.00÷8=0.25 and the rate keeps going constant at a rate of 0.25

Which is the best estimate for 33 x 0.38?
A. 30 x 0.4

B. 3 x 0.4

C. 40 x 0.3

Answers

Answer:

30 x 0.4

Step-by-step explanation:


Determine the coordinates for the intersection of the diagonals in RSTK with vertices at
R(-8-2).S(-6, 7).
T(67), and U(4-2).
(-1.2.5)

Answers

Answer:

thanks for the points

Step-by-step explanation:

Which statement is true about the slope of the graphed line?



A.
The slope is negative.
B.
The slope is positive.
C.
The slope is zero.
D.
The slope is undefined.

Answers

Answer:

c

Step-by-step explanation:

because I had a test on these

,
If x=y and y = 18, what is the value of 2x-3?
3
A) 21
B) 15
C) 12
D) 10

Answers

Answer:

33. 2x18-3. 36-3=33 the answer is 33

Choose the mathematical sentence that most accurately expresses the
information in the problem, and would be most helpful in solving it.
After spending 5 dollars, you have 310 dollars left. How many dollars did you
start with?
OA. d + 5=310
OB. d-5= 310
OC. d= 310 - 5
OD. d+ 5 = 310
OE 5 d=310
OF 5d= 310

Answers

Answer:

B) d-5=310

Step-by-step explanation:

Hope this helps!

Soup A has 5 grams of sodium in every 12 cups. Soup B has 8 grams of sodium in every 13 cups. Which soup has more sodium per cup?

Answers

Answer:

Step-by-step explanation:

5

Soup B has more sodium per cup.

What is the unitary method?

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given : Soup A has 5 grams of sodium in every 12 cups. Thus sodium per cup in soup A is = 0.42 g/cup

Soup B has 8 grams of sodium in every 13 cups.  Thus sodium per cup in soup B is 8/12=0.6667 g/ cup

Hence, Soup B has more sodium per cup.

Learn more about the unitary method here:

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A statistics teacher was interested in the relationship between the number of days students waited to start a project and the score that project received (out of 100 points). Information was collected on several students and was used to obtain the regression equation ŷ = –3.64x + 96.5, where x represents the number of procrastination days and ŷ is the predicted grade. Which statement best describes the meaning of the slope of the regression line?

A:For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.
B;For each increase in number of procrastination days by 1, the predicted grade decreases by 96.5 points.
C;For each increase in grade by 1 point, the predicted number of procrastination days decreases by 96.5 days.
D:For each increase in grade by 1 point, the predicted number of procrastination days decreases by 3.64 days.

Answers

Answer:

A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.

Step-by-step explanation:

The slope of a Regression Line

A straight line can be represented in the slope-intercept form:

y = mx + b

Where m is the slope and b is the y-intercept.

The slope describes how fast and in what direction the graph goes when x changes values.

If m is positive, increments in x imply increments in y.

If m is negative, increments in x imply decrements in y.

The regression line is:

ŷ = –3.64x + 96.5

Where:

x = the number of procrastination days

ŷ = the predicted grade

We can say the slope is m=-3.64. This means that:

A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.

Pretty sure the guy above me is right, although I have not checked on edge.

(A) For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.

kinda sucks how theres nothing for stats on here but i hope to help a little =================================

if you're looking for "What is the predicted grade of a student who procrastinated for 2 days?" as-well, the answer for that seperate question is (C) 89.22 .

=================================

ED2021

How are the angles of an equilateral triangle related?
Please explain so a smol brained person can understand

Answers

There are 180 degrees in total inside a triangle.

If something is equilateral that means that all the angles are equal.

180/3 equals 60 degrees.

That means that all angles of an equilateral triangle are always equal to each other and if you must know, are 60 degrees

What is 1 plus 1?
I really need to know it's on my upcoming test.​

Answers

Answer:

2

Step-by-step explanation:

you take the 2 1's and they have a kid named 2

Answer:

The daddy 1 and mommy 1 have a kid and its 2

Step-by-step explanation:

Is the equation 2x + 5 = 1 true, false, or open? Explain.

Answers

Answer:

open

Step-by-step explanation:

beacause

2x+5=1

2x=1-5

2x=-4

x=-4/2

x-2 so its open

An open statement is a statement that has an unknown variable

[tex]2x + 5 = 1[/tex] is an open statement

The equation is given as:

[tex]2x + 5 = 1[/tex]

From the equation, we have the following observations.

2, 5 and 1 are constants

x is a variable

Because the equation has a variable (i.e. x), then it is an open statement

Hence, [tex]2x + 5 = 1[/tex] is an open statement

Read more about open statements at:

https://brainly.com/question/11151728

Karina needs a total of $45 to buy her mother a birthday present. She has saved 20% of the amount so far. How much has she saved

Answers

Answer:

$9.00

Step-by-step explanation:

$45.00x20%=9

Answer:

$9

Step-by-step explanation:

$45 X .2 = $9

Simplify the expression:
(-4 + v)(3) - =

Answers

Answer:

-12 + 3v Is the answer

Hope this helps :)

How would I solve this step by step? ​

Answers

Answer:

Step-by-step explanation:

you would add 60 + 90 then subtract it from 180

Answer:

Easy so it's a 90 degree angle so 90 goes at the end.

Example: 3x+60=90

60-60=0

and then 90-60=30

now u have 3x=30

after this u divide by 3

30/3=10

x=10

answer is 10

and also can u plz answer my recent question


Evaluate: f(x) = 2x^2 + 6x - 4; f(-5) *
1
-1 46

Answers

[tex]f(x)=2x^2+6x-4[/tex]

Find the f(-5) by substituting x = -5 in the equation.

[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]

Therefore, the answer is f(-5) = 16.

How many solutions does the equation 24x-22=-4(1-6x) have?

Answers

Answer:

43

Step-by-step explanation:

just trust me

there are no solutions.

multiply .035 times a power of ten so that the product is greater than 1 but less than 100​

Answers

Answer:

0.035 x 10^3

Step-by-step explanation:

yes

Let tk be the number of ways to choose k beads from a drawer that contains 10 red beads, 8 blue beads, and 11 green beads. Find the generating function for the sequence {tk} 29 k = 0. Do not find a formula for tk.

Answers

Answer:

[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]

Step-by-step explanation:

From the given information;

The total number of beads  = 10 + 8 + 11 = 29

To choose k beads out 29 beads, let assume that [tex]t_k[/tex] be the no. such that:

[tex]t_k = ( ^{29}_{k}) \ \ \ where; k =0,1,2,3,....,29[/tex]

The sequence [tex]\{ t_k\}^{29}_{k=0} = (^{29}_{k})[/tex]

The generating function for [tex]\{ a_k \}^n_{k=0}[/tex] is:

[tex]G(x) = a_o +a_1x +a_2x^2 +...+a_nx^n[/tex]

[tex]G(x) = \sum \limits ^{n}_{k=0} \ a_k x^k[/tex]

For the sequence above;

[tex]G(x) = \sum \limits ^{29}_{k =0 } (^{29}_{k}) x^k[/tex]

By applying binomial series [tex](1+x)^n = \sum \limits ^n_{k=0} ( ^n_k) x^k[/tex]

Thus:

[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]

PLZ HELP ASAP!!!!!


Which statement is true regarding the graphed function

A. f(0)=g(0)
B. f(-2)=g(-2)
C. f(0)=g(-2)
D. f(-2)=g(0)

Answers

I think it’s B but I’m prolly wrong

A chain letter starts when a person sends a letter to five others. Each person who receives the letter either sends it to five other people who have never received it or does not send it to anyone. Suppose that 10,000 people send out the letter before the chain ends and that no one receives more than one letter. How many people receive the letter, and how many do not send it out?

Answers

Answer:

50,001 people sent out the letter.

40,001 did not send it out

also can i get brainliest???

Step-by-step explanation:

780 people receive the letter before the chain ends.

9,220 people do not send out the letter.

We have,

In the given scenario, the chain letter starts with one person sending it to five others.

Each recipient of the letter has the option to either send it to five new recipients or not send it to anyone.

Let's analyze the chain letter progression:

The first person sends the letter to 5 recipients.

Each of those 5 recipients has the choice to send the letter to 5 new recipients or not send it.

If each of the 5 recipients sends the letter to 5 new recipients, we have a total of 5 x 5 = 25 new recipients.\

If any of the 5 recipients choose not to send the letter, they are out of the chain.

Now, we have 25 recipients who received the letter and have the same choice: send it to 5 new recipients or not send it.

If each of the 25 recipients sends the letter to 5 new recipients, we have a total of 25 * 5 = 125 new recipients.

If any of the 25 recipients choose not to send the letter, they are out of the chain.

This process continues until the chain ends.

To determine how many people receive the letter and how many do not send it out, we can observe the pattern:

After the first step, there are 5 recipients.

After the second step, there are 5 + (5 * 5) = 30 recipients.

After the third step, there are 5 + (5 * 5) + (5 * 5 * 5) = 155 recipients.

After the fourth step, there are 5 + (5 * 5) + (5 * 5 * 5) + (5 * 5 * 5 * 5) = 780 recipients.

We can see that the number of recipients follows a geometric progression with a common ratio of 5.

The formula for the sum of a geometric progression is:

[tex]Sum = a (r^n - 1) / (r - 1)[/tex]

Where:

a = initial term = 5

r = common ratio = 5

n = number of steps

We are given that the chain ends after 10,000 people send out the letter. Let's calculate the number of recipients:

[tex]Sum = 5 (5^4 - 1) / (5 - 1)[/tex]

= 5 (625 - 1) / 4

= 5 624 / 4

= 780

Therefore, 780 people receive the letter before the chain ends.

To find the number of people who do not send it out, we subtract the number of recipients from the total number of people who sent out the letter:

Number of people who do not send it out = Total number of people - Number of recipients

= 10,000 - 780

= 9,220

Therefore, 9,220 people do not send out the letter.

Thus,

780 people receive the letter before the chain ends.

9,220 people do not send out the letter.

Learn more about geometric sequence here:

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Find the measures of the indicated angles.

Answers

t=62 v=118 w=42 I think

Step-by-step explanation:

first, find the value of angle t

angles of a triangle add up to 180.

with this, we can set up the equation

180 = t + 62 + 56

t = 62

to find angle w, find the sum of the top angles

25 + 56 = 81

again, sum of angles in a triangle adds to 180.

since we have the bottom right angle and the top angle, we can find the bottom left angle

180 = 56 + 62 + w

w = 37

finally we can find angle v

180 = 25 + w + v

180 = 25 + 37 + v

v = 118

another approach would be to find angle v after finding angle t.

because the two angles are supplementary, they add up to 180

angle v + angle w = 180

What is 20x - y = -40 in
slope-intercept form?

Answers

Answer:

y=20x+40

Step-by-step explanation:

slope-intercept form is y=mx+b. In order to place the equation into such format, you first need to move the 20x to the right, meaning you subtract it from both sides. you are left with -y=-20x-40. Since y cannot be negative or have any coefficient other than positive 1, you divide both sides by -1. -20/-1=20,, -40/-1=40,,-1/-1=1. Therefore, you are left with y=20x+40

need the answer please

Answers

Answer:

3y

Step-by-step explanation:

My big brain math skills

I need help pleaseeeeeee​

Answers

24 division
24 + 12 = 36 total
24:36 simplify = 2:3
The solution is 2:3

Answer:

1:2

Step-by-step explanation:

Divide. 5,346 ÷ 29 Enter your answer in the boxes as a mixed number in simplest form.

Answers

Answer:

[tex]190\frac{26}{29}[/tex]

Step-by-step explanation:

____190__

29 | 5346

     -29 (29*100=2900)

________

      2446

     -232 (29*90=232)

________

           26

Therefore, the answer is [tex]190\frac{26}{29}[/tex]

In the mixed form we can write → 5346 ÷ 29  as  [tex]$184\frac{10}{29} .\\[/tex]

We have the following operation -

5346 ÷ 29

We have to write the result of above division in mixed form.

What is Division Algorithm ?

The division algorithm says when a number 'a' is divided by a number 'b' gives the quotient 'q' and the remainder 'r' then the following relation exists-

a = bq + r

where 0 ≤ r < b.

This is also known as Euclid's division lemma.

According to the question, we have -

5346 ÷ 29

Let A = 5346 ÷ 29. Therefore -

A = [tex]$\frac{5346}{29} = 184\frac{10}{29} .\\[/tex]

Hence, in the mixed form we can write → 5346 ÷ 29  as  [tex]$184\frac{10}{29} .\\[/tex]

To solve more questions on Mixed numbers, visit the link below-

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answers
|x-3|
-|x+3|
-|x-3|
|x|+3

Answers

-|x+3|

its a positive 3 because you move it the opposite way im pretty sure
and it’s negative because it’s pointed down

Answer:

B) -|x+3|

Step-by-step explanation:

Use the equation y=a|x-h|+k

a=-1 since the graph opens downwards with no stretch or shrink

h=-3 since the horizontal shift is 3 units right

k=0 since there's no vertical shift

Therefore, our equation is y=-|x+3| making B the correct answer

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