lillian is a business woman of manufacturing phones. she must pay a daily fixed cost to rent the building and equipment and also pays a cost per phone produced for materials and labor. let c represent the total cost in dollars of producing p phones in a given day. the table below has select values showing the linear relationship between p and c. determine fixed cost for rent and equipment?

P: 2,4,6
C: 1200, 1400, 1600

Answers

Answer 1

Answer:

1000 dollars

Step-by-step explanation:

Given

P:  ---2 -----,4 ----,6

C: 1200, 1400, 1600

Required

Calculate the fixed cost

First, we need to determine the equation that determines the relationship between P and C

We start by selecting any two corresponding values of P and C

We have that:

[tex](P_1,C_1) = (2,1200)[/tex]

[tex](P_2,C_2) = (6,1600)[/tex]

Calculate the slope, using:

[tex]m = \frac{C_2 - C_1}{P_2 - P_1}[/tex]

[tex]m = \frac{1600 - 1200}{6 - 2}[/tex]

[tex]m = \frac{400}{4}[/tex]

[tex]m = 100[/tex]

The equation is then calculated using:

[tex]C - C_2 = m(P - P_2)[/tex]

Where

[tex]m = 100[/tex] and

[tex](P_2,C_2) = (6,1600)[/tex]

[tex]C - 1600 = 100(P - 6)[/tex]

[tex]C - 1600 = 100P - 600[/tex]

Collect Like Terms

[tex]C = 100P - 600 +1600[/tex]

[tex]C = 100P + 1000[/tex]

From the equation above,

100P represents the amount paid for P phones produced

1000 represents the fixed cost paid

C represents the total amount paid


Related Questions

What is the measure of AC?

Answers

DE is 30, so AD is also 30

A full circle is 360

ACE = 360- Ad-de

Ace = 360-30-30 = 300

Ac is half of ace

Ac = 300/2 = 150

The answer is b 150

Which is the correct?

Answers

Answer:

the 2nd one

Step-by-step explanation:

Write the integer to represent the statement. 5ft below sea level

Answers

The answer would be -5
The answer would be -5ft below
Sea level

Jeff bought a radio for 14.99 eaephones for 9.99 and a cassette tap for 7.99 including a sales tax of 6% what was the total bill

Answers

Answer:

$54.95

Step-by-step explanation:

You add everything together and multiply by 0.6.

32.97/0.6= 54.95

I hope this helps!!!

If a snail travels at a rate of of a mile every of an hour,
what is the unit rate in miles per hour?

Answers

Answer:

1mph or 1 mile per hour

Step-by-step explanation:

simple

help me please reeeee​

Answers

Answer:4/5 and 2 3/5

Step-by-step explanation:

Write a proportion to represent the scenario. Then Solve.

Katniss shot 12 arrows in 20 seconds. How long will it take Katniss to shoot 60 arrows? Let t represent time to shoot 60 arrows.

Answers

Answer:

100 seconds

Step-by-step explanation:

12 arrows in 20 seconds

60 is 5 times of 12

multiply 20 by 5

Heather is solving an equation by graphing the expressions on either side of the equal sign. If the graph intersects at an infinite number of points which statement could describe the equation heather is attempting to solve?

Answers

Answer:

one side of the equation is a quadratic equation, and the other side of the equation is a quadratic expression

Step-by-step explanation:

the description needs to be the same for each equation. For example linear and linear would work as well.

Hurry please i need it ASAP

Answers

Hmm, thats wrong actually, I believe its C?

A principal of $835 is invested in an account at 2% per quarter simple
interest. Which of the following sequences describes the dollar amount of
principal in the account at quarterly intervals?
A. 66.80, 133.60, 200.40, 267.20, 334.00, ...
B. 835.00, 851.70, 868.40,885.10, 901.80, ...
C. 835.00, 901.80, 968.60, 1,035.40, 1,102.20, ...
D. 16.70, 33.40, 50.10, 66.80, 83.50,...
E. 835.00, 851.70, 868.73, 886.11, 903.83, ...

Answers

Answer E

Step-by-step explanation: The first number is 835 as this is how much you have in the bank to begin with. Work out 2% of 835.

I need help with this math work

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

If you plot the points on the graph, you notice that the run (change in x) is 3 for each "rise" (change in y) of -1, so the slope is ...

  m = rise/run = -1/3

The middle point is on the y-axis, so is the y-intercept.

In slope-intercept form, the equation is ...

  y = mx + b . . . . . . where m is the slope (-1/3) and b is the y-intercept (4)

  y = -1/3x +4 . . . . equation

A person picking apples stand on a ladder 3.0 m above the ground. He throws them into
a basket 2.0 m away. How fast must the person throw the apple in order for it to land in
the basket?

Answers

3.0m = 1/2 (9.8) /\ t^2
/\t = 0.7825
/\ is a triangle

2.0m = V_x (0.7825)
V_x = 2.56 m/s
(V_x subscript x)

factor 2w+6

Please explain? I'd like to understand how you did it so that I can do it myself the next time, thanks a mil :)

Answers

Answer:

2( w + 3 )

Step-by-step explanation:

Well first off, since theres no common term to factor out, I had to split 6 in half

so 2 w + 6 becomes 2w + 2 x 3.

I then factored out 2 because it's a common term,

which then leaves: 2( w + 3 )

basically, you have to find a common term to factor out, if you don't see one, you have to do something to a number so there's common terms.

what is the slope intercept form of y-125=6(x-10)

Answers

Y=mx+b
y=6x+65
Hopefully this helps

Max placed 6 cans in a box and the box was 40% full.How many cans will the box be able to hold when it’s completely full?

Answers

This is algebra 1 or 2?

Answer:

4 cans

Step-by-step explanation:

this can be 4 cans because if 6 cans equal 40% it's opposite so 4 cans equal 60% so full is 100% so 60%+40%=100%  

Which list shows how many equal sized groups of 28 students Ms. Lee can make

Answers

There’s no picture of a list for us to see

Answer:

1,2,4,7,14, or 28

Step-by-step explanation:

I got it right

Please only answer this if you know the answer otherwise I will REPORT you thanks. This one is hard so I offers a lot of point. ONLY answer when you know the answer.

Answers

The answer is (C) 12+10[tex]\sqrt{3\\[/tex] !

C is the Answer ccccc

-62 - 4x = 42
So how do I get the answer to this problem?

Answers

Here you go this is it

Answer:

-26

Step-by-step explanation:

-62 - 4x = 42

-4x=42+62

-4x=104

X=-104/4

X=-26

So the value of the X is -26

Which choice includes two pairs of adjacent angles from the coordinate plane? 2 6 3 4 an 21 and 24, 22 and 25 26 and 25. 23 and 2 Z6 and 24. 21 and 23 © Z4 and Z5, Z2 and 26​

Answers

Answer:

you need to subtract those number in one whole and like this  2 6 3 4 an 21 and 24, 22 and 25 26 and 25. 23 and 2 Z6 and 24. 21 and 23 © Z4 and Z5, Z2 and 26​ the answer is -221

Step-by-step explanation:

The two pairs of adjacent angles from the coordinate plane are as follows;

∠ 6 and ∠ 5

∠ 3 and ∠ 2

Adjacent angles

Adjacent angles are angles that have a common side and a common vertex.

Therefore, the two pairs of adjacent angles are as follows;

∠ 6 and ∠ 5∠ 3 and ∠ 2

learn more on adjacent angles here: https://brainly.com/question/20537672

A 10-ounce package of cashews costs $8.11, and a 16-ounce package of cashews costs $12.Calculate the cost per ounce of each package.Which package, the 10-ounce or the 16-ounce package, is the better buy? In the box below write the cost per ounce of each package and state which package is the better buy.

Answers

Answer:

The better buy is  12-ounce package

Step-by-step explanation:

Step one:

given data

we are told that 10 ounces cost $8.11

and also 16 ounces cost $12

Required

The unit cost per ounce

for the 10 ounce package

the unit cost = 8.11/10=$0.81 per ounce

for the 12 ounce package

the unit cost = 12/16=$0.75 per ounce

the better buy is  12-ounce package because the unit cost is cheaper than that of  the 10-ounce package by $0.06

WILL MARK BRAINLIEST Given the table of value below, which of the following ordered pairs are found on the graph of the inverse function ?

Answers

Answer:

D

Step-by-step explanation:

Solve for x: −7 x > 9

Answers

There's not much to do here.

-7x > 9

Divide both sides by -7. When dividing by a negative number, you must reverse the inequality sign.

x < -9/7

Done.

(Ill be giving brainliest to who ever helppppss me!! :D)

Solve one and three fourths times two fourths.

A) fourteen sixteenths
B) fifteen sixteenths
C) seventeen sixteenths
D) eighteen sixteenths

Answers

Answer:

Option A

Step-by-step explanation:

In order to find the answer to this question you must change the mixed numbers into improper fractions and then solve.

[tex]1\frac{3}{4} \times\frac{2}{4}[/tex]

Convert into improper fraction:

[tex]4\times1=4+3=7[/tex]

(Remember to keep the denominator the same)

[tex]\frac{7}{4} \times\frac{2}{4}[/tex]

Now multiply:

[tex]7\times2=14[/tex]

[tex]4\times4=16[/tex]

[tex]=\frac{14}{16}[/tex]

Hope this helps.

Answer:

14/16

Step-by-step explanation:

How many grade seven students of koronadal national comprehensive high school are there in all

Answers

The complete question is;

The following diagram(attached) shows how all the Grade Seven students of

Koronadal National Comprehensive High School go to school.

How many grade seven students of koronadal national comprehensive high school are there in all

Answer:

269 students

Step-by-step explanation:

From the venn diagram attached, we can see various given numbers of the students of the different modes of transport to school.

To get how many grade 7 students there are in total, we will add all the students inside the venn diagram simply because the set of grade 7 students are represented by those inside the venn the venn diagram while the number 100 outside the venn diagram is not a member of the set of grade 7 students which we are dealing with.

Thus,

Total number of grade 7 students = 76 + 19 + 15 + 17 + 55 + 20 + 67 = 269

helppp me please will give brainliest ​

Answers

Answer:

y=-2x+11

Step-by-step explanation:

the answer would be F(y)= -2x+11

In order to assess the opinion of students at the University of Minnesota on campus snow removal, a reporter for the student newspaper interviews the first 12 students he meets who are willing to express their opinion. The method of sampling used is:________.a. a censusb. a cluster samplec. a voluntary response sampled. a convenience samplee. a simple random sample

Answers

Answer:

Convenience sampling

Step-by-step explanation:

When a researcher gives more credence to ease when performing its sampling procedure, such sampling process may be referred to as convenience sampling. As described in the scenario above, rather than having to take a Systematic approach at examining the population so as to decide on the best sampling strategy to employ, the reporter of the student newspaper decides to take the easy path towards gathering the opinion of students by interviewing the first 12 students who are willing to give their opinion without any further consideration. Here, the reporter failed to eliminate any sort of possible bias which may be present, as all was sacrificed for the sake of convenience or ease.

What is the unit rate if you write 11 pages in 2 hours? F What is the unit rate If you write 11 pages in 2 hours

Answers

Answer:

5.5 pages/hour

Step-by-step explanation:

We need to find the unit rate if you write 11 pages in 2 hours. It can be calculated by dividing no of pages to no of hours as follows :

[tex]R=\dfrac{11}{2}\ \text{pages/hour}\\\\=5.5\ \text{pages/hour}[/tex]

So, there are 5.5 pages per hour.

If Triangle ABC is congruent to Triangle SRT, find the possible value(s) for x

Answers

Answer:

x = 2 or x = -3

Step-by-step explanation:

Given that ∆ABC ≅ ∆SRT, it follows that their corresponding side lengths are congruent to each other.

Thus:

[tex] RT = BC [/tex]

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

Solve for x

[tex] x^2 + x = 6 [/tex]

Subtract 6 from each side

[tex] x^2 + x - 6 = 6 - 6 [/tex]

[tex] x^2 + x - 6 = 0 [/tex]

Factorise

[tex] x^2 + 3x - 2x - 6 = 0 [/tex]

[tex] x(x + 3) -2(x + 3) [/tex]

[tex] (x - 2)(x + 3) [/tex]

x = 2 or x = -3

2. Si Maria decide recortar rectangulos, de área igual a 0.03 m?, ¿Cuántos rectángulos obtendrá de la cartulina?
a) 6 rectangulos
b) 60 rectangulos
c) 15 rectangulos
150
d)
rectángulos​

Answers

Responder:

60 triángulos

Explicación paso a paso:

La pregunta está incompleta. No se dio el área del cartón. Digamos que la dimensión del cartón es de 2 m por 0,9 m.

Área del cartón = Largo * Ancho

Dado;

Longitud = 2 m

Ancho = 0,9 m

Área del cartón = 2 * 0.9

Área del cartón = 1.8m²

Si María decide recortar rectángulos con un área igual a 0.03 m², la cantidad de rectángulos que puede obtener del tablero se expresa como;

Número de rectángulos = área del cartón / área de cada parte recortada

Número de rectángulos = 1.8 / 0.03

Número de rectángulos = 60 rectángulos.

Por tanto, el número de rectángulos que puede recortar es de 60 rectángulos.

Tenga en cuenta que se asumió el área del rectángulo y que se puede emplear el mismo cálculo para cualquier otra dimensión dada.


Write the equation of a line that passes through the points (-2, 3) and (-4, 4) in slope intercept form (y=mx+b).

Answers

Step-by-step explanation:

first step is to find the gradient of the line which "m" on the equation

gradient formula is y2 - y1 ÷ x2 - x1 = -½ as shown on the picture we substituted those points given

2nd step is to substitute on the equation y=mx+c

m= -½

y= 3 (you can choose any from those given points but in my case I chose point A)

x= -2

c= ? only unknown variable so we can can calculate it

substitute as shown on the picture to get c= 2

therefore our equation of the line will be y= -½x+2

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