Una compañía suministra electricidad. Cobra $100 mensuales fijos más 15 centavos por kilowatt hora. En los primeros 400 kilowatts suministrados en el mes y cobra 12 centavos por cada kilowatt hora que pase de 400 kilowatts en el mes. ¿Cuál es la función que define al costo?

Answers

Answer 1

Answer:

La función resultante es una función a trozos:

[tex]C_{T}(x) = \left\{\begin{array}{cc}100+0.15\cdot x,\,0\le x \le 400\\112+0.12\cdot x,\,x> 400\\\end{array}[/tex]

Step-by-step explanation:

El coste total de la electricidad suministrada ([tex]C_{T}[/tex]), medida en pesos, es la suma del coste fijo ([tex]C_{F}[/tex]) y el coste variable ([tex]C_{V}[/tex]), medidas en pesos.

[tex]C_{T} = C_{F}+C_{V}[/tex] (1)

Ahora, tenemos que el coste fijo es $ 100 mensuales, así:

[tex]C_{F} = \$ \,100[/tex] (2)

Y el coste variable considera que se cobra 15 centavos por kilowatt-hora para los primeros 400 kilowatts-hora y 12 centavos por kilowatt-hora para cada kilowatt-hora que pase de 400 kilowatts-hora en el mes:

(i) Menos o igual que 400 kilowatts-hora:

[tex]C_{V} = 0.15\cdot x[/tex] (3)

Donde [tex]x[/tex] es la electricidad suministrada en kilowatts-hora.

(ii) Mayor que 400 kilowatts-hora:

[tex]C_{V} = 0.15\cdot (400)+0.12\cdot (x-400)[/tex]

[tex]C_{V} = 12+0.12\cdot x[/tex]

La función resultante es una función a trozos:

[tex]C_{T}(x) = \left\{\begin{array}{cc}100+0.15\cdot x,\,0\le x \le 400\\112+0.12\cdot x,\,x> 400\\\end{array}[/tex]


Related Questions

PLS HELP 100 POINT I WILL MARK BRAINLEST
The New York State Department of Health (NYSDOH) collects, compiles, and analyzes information on influenza activity year round in New York State (NYS) and produces this weekly report during the influenza season. The following data starts on the first week of December.
Week 1 - There were 1,839 laboratory-confirmed influenza reports
Week 2 - There were 3,264 laboratory-confirmed influenza reports
Week 3 - There were 5,301 laboratory-confirmed influenza reports
Week 4 - There were 9,211 laboratory-confirmed influenza reports
Week 5 - There were 10,085 laboratory-confirmed influenza reports

Make a prediction. Knowing that this is the peak of the season (peak means the highest numbers of cases during the season), what do you guess the data will be in three months. Why do you think this?

Answers

Answer:

The number of cases will go down.

Step-by-step explanation:

It is stated that this data was recorded during the peak of the season, so it will go down in three months.

I think the number of cases will go down but I’m dumb. Give it a try tho! Hope this helps!

thanks for helping me

Answers

6 + 6^2 = ?

6 + 36 = 42

? = 42

Answer:

41

Step-by-step explanation:

36+6=41 this is the working to it

find x

please help me out will mark you brainliest

Answers

Answer:

x=52

Step-by-step explanation:

Answer:

Step-by-step explanation:

41+x+87=180, x=52

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each expression to make pairs of equivalent expressions.

Answers

Answer:

2314

Step-by-Step

this should answer your question correctly

Answer:

2314

Step-by-step explanation:

A parking lot owner charges $8 per car for parking. Which graph has a slope that best
represents this rate?

Answers

please provide the graphs

HELP ASAP. The graph of the line y= 1/2 x + 1 is drawn on the coordinate grid below. Which table of ordered pairs contains only points on this line?

Answers

Answer:

C or A

Step-by-step explanation:

plz mark brainliest

Ben earns $12,800 a year. About 15% is taken out for taxes.How much is taken out for taxes?

Answers

Answer:

10,200

Step-by-step explanation:

Subtract 15% using a calculator.

12,800-15%

Which of the following statements are true for this function? Select all that apply.
A. The function is discontinuous at x=-1
B.The function is discontinuous at x=1
C. The value of the function is never negative
D. x=1 is not the domain of the function
E. The value of the function at x=-1 is 0
F. The value of the function at x=1 is 0

Answers

Answer:

A, C, and E

Step-by-step explanation:

Given is a graph of   a function first a straight line, followed by a semi circle centred at the origin and another piece of straight line not connected to the other graph.

We can see that the funciton is discontinuous at x=1 since

right limit = 1 and left limit =0

x=1 is in the domain .

f(-1) =0 is right

But f(1) =0 is incorrect

Thus correct options are

The function is discontinuous at x = 1.

The value of the function is never negative.

The value of the function at x = -1 is 0

what would the answer be iam kinda stuck on this​

Answers

Answer:

82

Step-by-step explanation:

Triangles' degrees supposed to add up to 180 degrees. 56 = 42 = 98. 180 - 98 = 82.

can you guys help me with this question I want to know how to solve this problem ASAP

Answers

Answer:

uh take or add x plus the y then z =5

Step-by-step explanation:

8x+4(4x- 3) = 4(6x +4)-4​

Answers

There’s no value of x that make the equation true. (No solution)

An airplane flies 3,080 km from Houston to New York at a speed of 770 km/h. How long did it take the plane to travel that distance? ​

Answers

Answer:

time = distance/speed

3080/770 = 4

So it took 4 hours.

Step-by-step explanation:

write an equation with a slope of -1/2 that passes through the point (4,-9)

Answers

Answer:

It should be y=-1/2+(-1)

Step-by-step explanation:


Lucy bought 6 packs of duct tape for $19.50. What is the cost of a pack of duct tape, in dollars, if all the packs cost the same

Answers

Answer:

$3.25

Step-by-step explanation:

19.50/6=3.25.

Each pack costs $3.25.

What is the equation of the line that passes through the points (4, –1) and (3, 5)?

Answers

Answer:

(4, -1) (3, 5) In this problem, we use the formula y2 - y1 over x2 - x1.

Step-by-step explanation:

Step 1: Plug In--> 5 - (-1)

                            3 - 4

Step 2: Simplify. --> 6

                                -1

Answer: -6

Plz answer asap!!!!!

Answers

Answer:

Let ΔABC and ΔDEF be two triangles such that ∠A = ∠D and ∠B = ∠E.

∠A + ∠B + ∠C = 180 0 (Sum of all angles in a Δ is 180)

∠D + ∠E + ∠F = 180 0 (Sum of all angles in a Δ is 180)

⇒ ∠A + ∠B + ∠C = ∠D + ∠E + ∠F

⇒ ∠D + ∠E + ∠C = ∠D + ∠E + ∠F (since ∠A = ∠D and ∠B = ∠E)

⇒ ∠C = ∠F

Thus the two triangles are equiangular and hence they are similar by AA.

Step-by-step explanation:

Put 2y= -3x = 5 in standered form

Answers

Answer:

3x + 2y = 5

Step-by-step explanation:

Given: 2y= -3x + 5 (assuming the sign before 5 is + instead of =)

for standard form, it has to be in ax + by = c

2y = -3x + 5; add 3x to both sides

3x + 2y = 5

Find the slope of each line

Answers

ok so its

0,-2 and 1,-3

Please look at the picture and give me the right answer, if your answers are right, you will get brainliest.

Answers

Answer:

80

Step-by-step explanation:

60 seconds=1 minute

6x10=60

multiply the number of cups with the same number used to multiply 6 with

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80 cups per minute

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please help meh i really need it thanks UwU

Answers

Answer:

a. 9.5

b. 32

c. 68

d. 15

Step-by-step explanation:

Drag the correct description to tell whether the graph represents a function.​

Answers

Answer:

1) Not a function 2) function 3) function

Step-by-step explanation:

Use the vertical line test. If you draw a line on every vertical line on the graph and you see two points, it is not a function.

The graph is shown in options B) and C) represents a function and this can be determined by carefully observing the given graph.

Check all the options in order to determine whether the graph represents a function or not.

A) The graph shows in this option that the two lines are intersecting at (x = 2). Therefore, this graph does not represent a function.

B) The graph shows in this option is in the shape of a parabola whose vertex is at  (-2,0). Therefore, this graph does represent a function.

C) The graph shows in this option is in the shape of a wave. This graph may represent a trigonometric function. Therefore, this graph does represent a function.

For more information, refer to the link given below:

https://brainly.com/question/13710437

Similar or not similar?

Answers

Answer:

They are similar.

Step-by-step explanation:

All of the sides are of equivalent length (technically), the bigger triangle is just the smaller triangle doubled in size.

Captain America's circular shield has a diameter of 76.2 centimetres. What is the area of his shield?​

Answers

Answer:

4560.37

Step-by-step explanation:

A= 1 /4 x π x 76.2²

Brainliest?????

The area of the Captain America's circular shield is 4560.36 cm²

From the question,

We are to determine the area of Captain America's circular shield, which has a diameter of 76.2 cm.

To do this,

We will use the formula for finding the area of a circle.

The formula for the finding the area of a circle is

[tex]A = \pi r^{2}[/tex]

Where, A is the area

and r is the radius of the circle

From the question

Diameter of the circular shield = 76.2 cm

First, we will determine the radius of the circular shield

From

[tex]Radius = \frac{Diameter}{2}[/tex]

∴ Radius of the circular shield = [tex]\frac{76.2}{2}[/tex] cm

Radius of the circular shield = 38.1 cm

Now, for the area of the shield

r = 38.1cm

∴ Area of the shield = [tex]\pi \times 38.1^{2}[/tex]

Area of the shield = 1451.61π

(Take π = 3.14159)

∴ Area of the shield = 1451.61 × 3.14159

Area of the shield = 4560.36 cm²

Hence, the area of the circular shield is 4560.36 cm²

Learn more here: https://brainly.com/question/12180399

Which of the following is not an advantage of renting?
a. ease of mobility
b. fewer responsibilities
C. lower initial costs
d. restricted lifestyle

Answers

Answer: d.

restricted lifestyle

Step-by-step explanation:

on ed

The option that is not an advantage of renting is;

D: Restricted lifestyle

When we rent a home, it means that we are paying the owner of the home some money periodically which could be yearly, monthly weekly e.t.c to make use the house.

Now, renting a home could be advantageous for different reasons and so let us look at each option given;

A) Ease of mobility; Sometimes we need to rent a home close to our place of work or business for ease of movement and as such this is an advantage.

B) Fewer responsibilities; Sometimes when we don't have too many responsibilities, renting a small home for a specific purpose could be very beneficial.

C) Lower Initial Costs; Renting a home is always cheaper initially than buying a home.

D) Restricted lifestyle; This is not an advantage of renting a home because renting a home is not meant to restrict your lifestyle but improve it.

Read more about renting at;  https://brainly.com/question/14626962

simplify -d - 10.25(16d-4)

Answers

i wrote down how i did this problem! hope it helps!!

BRAINLIST ANSWER URGENT! What is wrong with the problem?

A. They should have canceled our factors to simplify at the end

B. They shouldn’t have combined like terms

C. They didn’t get common denominators

D. They needed to cancel out X’s

Answers

Answer:

The correct answer would be C they did not get common denominators

Step-by-step explanation:

You can only add fractions with common denominators for example you can not add 1/7 and 1/8 because the denominators are not equivalent.

I hope this helps you!!

Type the expression that results from the following series of steps:
Start with x and double it.

Answers

Answer:

y= 2x

Step-by-step explanation:

when you wanna double something, you multiply it by 2

Ellie deposited $650 into her savings account. She then saved $150 per month. Which of the following equations shows a, the amount in Ellie’s saving account after t months?

Answers

Answer:

650 + 150t = A

Step-by-step explanation:

Evaluate and simplify (reduce) 1 2/3 * 4/5

Answers

Answer:

4/3 or 1 and 1/3

Step-by-step explanation:

Convert to the same denominator and turn the first on into an improper fraction and multiply.

Step-by-step explanation:

1 1/3 or 1.333(repeating)

My teacher made this for me and told me to do it i dont know what it is. Please tell me.
Teacher Comment: Unscramble this: ide a infaupl etadh

Answers

Answer:

Unscrambled- Die a painful death.    

Well what did you do to this teacher?

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