All categories

3 years ago

Please help me out.

Mathematics

1 answer:

sweet [91]3 years ago

4 0

Answer:

a) y = 10x +500

b) $500

c) $15 for 100; $10.50 for 1000

Step-by-step explanation:

We assume the given "cost per unit" is the variable cost per unit. The total cost (y) for x units, given some fixed cost (b), is ...

y = 10x +b

For 100 units, this is ...

1500 = 10(100) +b

500 = b . . . . . . . . subtract 1000

The cost function rule is ...

y = 10x +500

The fixed cost is the cost of producing 0 units:

y = 10(0) +500

y = 500 . . . . . . . the fixed cost in dollars

The average cost (ac) of producing n units is the total cost divided by n:

ac(n) = (10n +500)/n = 10 +500/n

The average cost for 100 units is

ac(100) = 10 +500/100 = 15 . . . average dollar cost for 100 units

The average cost for 1000 units is ...

ac(1000) = 10 +500/1000 = 10.50 . . . average dollar cost for 1000 units

You might be interested in

The sum of two numbers is 39, One number is 7 more than the other. Find the two numbers.

vfiekz [6]

The answer is.. 23 and 16

Hope this helps!!

5 0

3 years ago

Can some pals help me

patriot [66]

Answer:

1/8th of a foot

Step-by-step explanation:

All you have to do is divide the 5 feet by how ever many sections there are in this case it's 8.

5 / 8 = 0.625 = 1/8

6 0

3 years ago

If 5x-7=13, what is the value of 10x-14

barxatty [35]

Answer:

10x-14=26

Step-by-step explanation:

x = 4

10 x 4 = 40

40 - 14 = 26

4 0

3 years ago

Read 2 more answers

PLSS help me with this question?

Xelga [282]

Answer:

Part a) By alternate interior angles

Part b) By vertical angles

Part c) By AAA (Angle-Angle-Angle) Similarity Theorem

Part d) Triangles ABC and CDE are similar

Part e) $b=\frac{2DE}{3}$ or $b=\frac{15}{AC}$

Step-by-step explanation:

Part a)

we know that

If AB is parallel to DE

then

m<1=m<4 ------> by alternate interior angles

Part b)

we know that

m<5=m<6 -------> by vertical angles

Part c) we know that

The two triangles are similar by AAA (Angle-Angle-Angle) Similarity Theorem ------> The three corresponding angles are equal

m<1=m<4

m<5=m<6

m<3=m<2

Part d) we know that

If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

therefore

Triangles ABC and CDE are similar

Part e) Find the length side of b

Remember that

If two figures are similar, then the ratio of its corresponding sides is equal

$\frac{AB}{DE}=\frac{BC}{DC}=\frac{AC}{CE}$

substitute the values

$\frac{3}{DE}=\frac{2}{b}=\frac{AC}{7.5}$

$b=\frac{2DE}{3}$

$b=\frac{2*7.5}{AC}=\frac{15}{AC}$

8 0

3 years ago

Enter your answer in the box. Be sure to enter your answer as an ordered pair (x,y). Meaning, put your answer in parenthesis.

vitfil [10]

Answer:

The solution of the system of equation are (10,15).

Step-by-step explanation:

The given two linear two variable equations are

- x - 2y = - 40 ........ (1) and

x + 4y = 70 .......... (2)

Now,adding thoes two equations (1) and (2) we get,

- 2y + 4y = - 40 + 70

⇒ 2y = 30

⇒ y = 15.

Now, putting y = 15 in the equation (2), we get,

x = 70 - 4y = 70 - 4(15) = 10

Therefore, the solution of the system of equation are (10,15). (Answer)

3 0

4 years ago