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Advocard [28]
3 years ago
15

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). There are two production methods it could use. With one method, the one-time fixed costs will total$65,054, and the variable costs will be$8.25per book. With the other method, the one-time fixed costs will total$12,539, and the variable costs will be$19.50per book. For how many books produced will the costs from the two methods be the same?
Mathematics
1 answer:
Korvikt [17]3 years ago
4 0

Answer:

The number of books produced at which the costs from the two methods be the same is 4668 books

Step-by-step explanation:

Here, we have

For the first production method

Fixed cost = $65,054 and variable cost per book = $8.25

For the second production method

Fixed cost = $12,539 and variable cost per book = $19.50

Therefore, let the number of books at which the to methods cost the same be M, we then have

$65,054 + $8.25 × M =  $12,539 + $19.50× M

Which gives

$65,054 - $12,539 =  $19.50× M - $8.25 × M

$52515 = $11.25 × M

M = $52515/$11.25 = 4668 books.

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F(x) = -3(x+4)(x-6) x intercepts
DiKsa [7]

Answer:

x = - 4, x = 6

Step-by-step explanation:

To find the x- intercepts let y = 0 , that is

- 3(x + 4)(x - 6) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 6 = 0 ⇒ x = 6

7 0
2 years ago
Mrs. Davis went to a produce market to buy bananas and strawberries. She spent $8.00. If the bananas were $0.50 per pound, and t
9966 [12]

9514 1404 393

Answer:

  4 pounds

Step-by-step explanation:

Let b represent the pounds of bananas Mrs. Davis bought. The weight of strawberries would be (7-b) and their cost would be 4×0.50 = 2.00 per pound. Her total purchase was ...

  0.50b + 2.00(7 -b) = 8.00

  -1.50b +14 = 8 . . . . simplify

  6 = 1.50b . . . . . . add 1.50b -8

  4 = b . . . . . . . . divide by 1.50

Mrs. Davis bought 4 pounds of bananas.

7 0
2 years ago
The tens digit of a two-digit number is five more than the units digit. Seven times the sum of the digits of this number is 3 le
I am Lyosha [343]

Answer:

43

Step-by-step explanation:

Let

The unit digit = x

The tens digit = y

The number = 10x + y

The tens digit of a two-digit number is five more than the units digit.

y = x + 5

Seven times the sum of the digits of this number is 3 less than the number itself.

7(x + y) = 10x + y - 3

7x + 7y = 10x + y - 3

Find the number.

We substitute x + 5 for y

7x + 7(x + 5) = 10x + (x + 5) - 3

7x + 7x + 35 = 10x + x + 5x - 3

14x + 35 = 11x + 5x - 3

Collect like terms

35 + 3 = 11x + 5x -14x

38 = 16x - 14x

38 = 2x

x = 38/2

x = 19

Solving for y

y = x + 5

y = 19 + 5

y = 24

The number = 19 + 24

= 43

3 0
2 years ago
Read 2 more answers
Please I really need help
san4es73 [151]

Answer:

its probably 2.0 or 0.2

Step-by-step explanation: x√=x−2

I really hope this helps i'm not that smart with this....


4 0
3 years ago
2(x + 4) + 2x + 3 = 3x + 16<br>what does x eqaul​
Ad libitum [116K]

Answer:

x=5

Step-by-step explanation:

2(x+4)+2x+3=3x+16

One solution was found :

                  x = 5

7 0
3 years ago
Read 2 more answers
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