Mathematics High School

Runaround Corporation sells running shoes and during January they ran production machines for??? 20,000 hours total and incurred??? $9,000 in maintenance costs. During July they ran production machines for??? 14,000 hours total and incurred??? $7,200 in maintenance costs.

Based on this??? data, what is the cost formula for maintenance??? costs?

Answers

Answer 1

The cost formula for maintenance cost is : y = 3.33x + 10000

The cost formula for maintenance cost can be written in the form :

y = bx + c b = slope ; c = intercept

Using the pair of points ;

(9000, 20000) ; (7200, 14000)

Slope = (14000 - 20000) / (7200 - 9000)

Slope = -6000 / 1800

Slope, b = 3.33

We have ;

y = 3.33x + c

Using the point (9000, 20000)

20000 = 3.33(9000) + c

20000 = 30000 + c

c = 10000

Now we have;

y = 3.33x + 10000

The cost formula for maintenance cost is : y = 3.33x + 10000

Related Questions

A quadrilateral has angle measures of 52°, 94°, and 97°.

What is the measure of the fourth angle?

Enter your answer in the box.

Answers

The answer should be 117. Quadrilaterals add up to 360, but you only have 3 measurements, so add them up then subtract from 360 to get the remainder. 52+94+97=243. 360-243=117

A quadrilateral has angle measures of 52°, 94°, and 97°.

What is the measure of the fourth angle?

Enter your answer in the box.

Answer: 117

Step-by-step explanation:

SOMEONE HELP ASAPPPPPPP!!! PLEASE
1. A person at ground level measures the angle of elevation to the top of a building to be 74°. If at this point the person is 34 feet away from the base of the building, then how tall is the building?

Please round to the tenths place.
Please show work/steps and provide units with your answer.

2. In right triangle PQR, P and Q are complementary angles. The value of sin Q is
9/
. What is the value of cos P?

A.9/41
B.41/9
C.40/41
D/41/40

Answers

Part 1
The distance between the person and the building can be written as:
[tex]x=c\cdot \cos(\theta)[/tex]
C would be the line connecting the top of the building and the person(hypotenuse).
The height of the building is:
[tex]h=c\cdot \sin(\theta)[/tex]
If we get the c from the first equation and plug in the second one we get:
[tex]h=\frac{x}{\cos(\theta)}\cdot\sin(\theta)=x\cdot \tan(\theta)=32ft\cdot3.45=110.4$ft[/tex]
Part 2
If we P and Q are complementary that means that they sum is 90 degrees.
Because of this sin(Q) must be the same as cos(P).
Sum of the angles in any triangle is 180 if we have a right triangle and two complementary angles that means that those two angles have to be 45 degrees. Sin and cos are the same for the 45-degree angle.
I attached the diagram that would make this clear.

If 10*10 is 100 and 100*100 is 10000 what is 10000*10000???? ; )

Answers

Hi!

You just have to count the zeros..

10*10 (2 zero) = 100
100*100 (4 zero) =10 000
10 000*10 000 (10 zero) = 10 000 000 000

10000 * 10000 is equivalent to 10,000,000

10² is 10 × 10, which equals 100.

10⁴ is 100 × 100, which equals 10,000.

Following this pattern,

we see that large numbers can be simplified using exponents:

The number 10,000 can be written as 10⁴ because:

10 × 10 × 10 × 10 = 10,000

Now, to calculate 10,000 × 10,000:

10,000 is 10⁴, so this is:

(10⁴) × (10⁴) = 10⁸.

So, 10000 * 10000 = 10⁸ = 100,000,000.

So, 10000*10000 is 100,000,000.

Please help if you know how to do this type of math! :)

Answers

It's just a tiny bit sloppy. The 10.2 cm should be designated with a right angle too. I'll answer it that way.

Area = (L1 + L2)*h/2
L1 = 10.2
L2 = 12.2
h = 12.6
all givens are in cm.

Area = (10.2 + 12.2)*12.6/2
Area = 22.4 * 6.3
Area = 78.12 cm^2

What is the coefficient of the term of degree 2 in the polynomial below? x^6+3-2x^2+4x^7-4x a. -2 b. 3 c. -4 d. 4

Answers

we have that
x^6+3-2x^2+4x^7-4x

we know that
the term of degree 2 in the polynomial is -2x²
and the coefficient of the term of degree 2 is (-2)

the answer is option a) -2

Answer:

a. [tex]-2[/tex]

Step-by-step explanation:

The given polynomial is

[tex]x^6+3-2x^2+4x^7-4x[/tex]

We rewrite the polynomial in standard form to obtain;

[tex]4x^7+x^6-2x^2-4x+3[/tex]

The term of degree 2 in the polynomial is [tex]-2x^2[/tex].

The coefficient of this term is the constant that is multiplying [tex]x^2[/tex] which is [tex]-2[/tex]

Figure ABCD is rotated 90°counterclockwise about the origin. Which of the following gives the correct measure of an image of one of its sides?

B'C' = √17
C'D' = √10
D'D' = 5
A'B' = √17

Answers

the length of a side is: A'B' = sqrt (17)

What is 6 divided by 1/3

Answers

6/(1/3)

to find the answer, you must flip the second fraction, and change the division into a multiplication

6 x 3

6 x 3 = 18

18 is your answer

hope this helps

look at the picture below // PLEASE HELP // 30 points

Answers

C. the circumference is the answer

thx 4 tha points!!!!!!!!!!!!!

Will give BRAINLIEST!! I REALLY NEED HELP..What is -1/2(-3y+10) as a equivalent expression? pls help me

Answers

Any expression has many equivalents. For something like this, it is often convenient just to make use of the distributive property.

= (-1/2)*(-3y) +(-1/2)*(10)
= (3/2)y -5

Another equivalent has a common denominator
= (3y -10)/2

HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Answers

[tex]\sqrt{a}=b\iff b^2=a\\\\a\geq0\ \wedge\ b\geq0\\\\\text{therefore your answer is}\\\\\text{(A) The equation has no solutions.}[/tex]

PLEASE ANY HELPFUL PERSON HELP!!!!!!

Answers

94 + 4.5x < 175
4.5x < 175 - 94
4.5x < 81
x < 81/4.5
x < 18

Math help.... Please....

This doesn't make any sense to me. Pls help me. I'm not begging, but this problem has been stumping me and I don't understand how to do it.... I'm using 99 points to give to a person who maybe can help me. I will give Brainliest if you are correct.

Thank you so very kindly.

When Julia dumped out the big jar of dimes and nickles she found 287 coins. If there was $20.50 in the jar, how many of each kind of coin was there??

Don't answer this unless you actually are answering the question!!! If you have any questions, or it doesn't make sense, please say something in the "Ask for Details" section.

Thanxs again!!!

Answers

First, you want to solve for the equation for this problem, would be:
0.05N + 0.10D = 20.50
While N = The amount of nickels, and D = The amount of dimes.

Since N = 164, and D = 123. It would add up to 287 coins. 164 + 123 = 287.
Now that you have the number for those two variables, solve the equation for when N = 164, and D = 123.
0.05N + 0.10D = 20.50
0.05(164) + 0.10(123) = 20.50
8.2 + 12.3 = 20.50
20.50 = 20.50
So, there is 164 nickels, and 123 dimes for your answer.

I hope this helps!

~ Notorious Sovereign

Answer:First, you want to solve for the equation for this problem, would be:

0.05N + 0.10D = 20.50

While N = The amount of nickels, and D = The amount of dimes.

Since N = 164, and D = 123. It would add up to 287 coins. 164 + 123 = 287.

Now that you have the number for those two variables, solve the equation for when N = 164, and D = 123.

0.05N + 0.10D = 20.50

0.05(164) + 0.10(123) = 20.50

8.2 + 12.3 = 20.50

20.50 = 20.50

So, there is 164 nickels, and 123 dimes for your answer.

I hope this helps you

Perform the indicated operation. then estimate to see whether the proposed results is reasonable. 11.58 + 11.9 + 9.2
32.68
22.68
33.68
31.68 Preform the indicated operation. Then estimate to see whether the proposed result is reasonable.
93.8 - 6.48
87.32
97.44
87.42
94.34
Preform the indicated operation. Then choose the best answer. 27.7 x 1.9 5.363
52.63
53.62
5.263 Choose the best estimate. 64.1 ÷ 97
641
6.41
0.641
6410 Use estimation to determine whether the result is reasonable or not. 108.93 x 32.6 Result: 355.112 Is it reasonable or not?

Answers

1) 32.68
2) 87.32
3) 52.63
4) 0.641
5) Unreasonable, the decimal point should be moved 1 space to the right.

Just a short answer please help :( the top

Answers

26/100 = x/82 I think that's what you want.

26 is to 100 as x is to 82

26/100 = x/82

Someone please explain how the GCF of x^4 and x^3 equals x^3. This has me stumped.

Answers

GCF is the greatest common factor. its the value of the factors that are common to both the numbers being compared. In other words the product of the factors that are common to both numbers or the greatest factor common to both numbers.
factors of x⁴ = x * x * x * x = (x * x * x) * x
factors of x³ = x * x * x = (x * x * x)
factors common to both are (x * x * x) Therefore GCF is x³

Norma has an A-frame cabin.The back is shown below. How many square feet of paint will she need to cover the back of the cabin?

Answers

I FOUND YOUR FULL QUESTION IN OTHER FUENETES.
PLEASE SEE ATTACHED IMAGE.
For this case what you should do is find the area of the triangle which will be given by:
A = (1/2) * (b) * (h)
Where
b: base
h: height
Substituting the values we have:
A = (1/2) * (25 1/2) * (15)
A = 191.25 feet ^ 2
Answer:
she will need 191.25 feet ^ 2 to cover the back of the cabin

I have another Brainliest

Answers

Answer: “A” Opportunity cost is “the value of an investment opportunity you pass up in order to take another investment opportunity .” It’s pretty much the sacrifice you make to do something else.
Ex. To earn volunteer hours, Billy decided not to go to Bob’s birthday party.

How do you write 230% as a fraction or mixed number in simplest form?

Answers

tha t is 230/100 or 2 3/10

Bill takes a loan of 9,000.00 at a 8% simple interrst rate for 6 years a.how much interest will he pay after 2 years? b. how much interest will he pay in total for the loan

help plz

Answers

Final answer:

Bill will pay an interest of $1440 after 2 years and a total interest of $4320 over 6 years.

Explanation:

The subject of your question is related to simple interest calculation. The formula to calculate the simple interest is I = P * R * T, where I is the interest, P is the principal amount (initial loan), R is the annual interest rate in decimal form and T is time in years.

So when you ask 'how much interest will Bill pay after 2 years?', you plug in your values as follows: I = $9000 * 0.08 * 2 which calculates to $1440.

For the total interest Bill will pay over the 6 years, we substitute the values into the formula again but this time T = 6. So, I = $9000 * 0.08 * 6 which calculates to $4320.

Learn more about simple interest calculation here:

https://brainly.com/question/19903178

#SPJ12

Bill will pay $1,440.00 in interest after 2 years and a total of $4,320.00 in interest for the entire loan period of 6 years.

Simple interest can be calculated using the formula Interest = Principal × Rate × Time (I = PRT).

Part A: Interest After 2 Years

The principal amount is $9,000.00, the interest rate is 8%, and the time is 2 years.

Interest = 9,000 × 0.08 × 2 = 1,440

Bill will pay interest of $1,440.00 after two years.

Part B: Total Interest for the Loan

Again, using the same formula but for 6 years:

Interest = 9,000 × 0.08 × 6 = 4,320

Bill will pay a total of $4,320.00 in interest over the entire loan period.

What is the exact value of sin 30° ?

Enter your answer, as a simplified fraction, in the box.

Answers

To solve this problem you must apply the proccedure shown below:

1. By defnition, sine is one of the trigonometric functions. The sine of an angle can be written as below: "sin(α)".

2. The sine of 30 degrees, is:

sin(30°)=1/2

3. Therefore, the answer for the exercise shown above: sin(30°)=1/2

A water tank has the shape of an inverted right circular cone of altitude 12 ft and base radius 6 ft. if water is being pumped into the tank at a rate of 10 gal/min, approximate the rate at which the water level is rising when it is 3 ft deep

Answers

The radius of the water surface at that point is (3 ft)/(12 ft)*(6 ft) = 1.5 ft, so the surface area is
.. π(1.5 ft)^2 = 2.25π ft^2

The rate of rise is then
.. (10 gal/min)*(77/576 ft^3/gal)/(2.25π ft^2) ≈ 0.18911 ft/min

_____
The rate of change of depth is equal to the rate of change of volume divided by the surface area. Here's how you can get there from derivatives.

V = (1/3)Bh
V' = (1/3)(B'h +Bh')
Here we have B = π(h/2)^2 = (π/4)h^2, so B' = (π/2)h*h'
V' = (1/3)((π/2)*h^2*h' +(π/4)h^2*h')
V' = (π/4)h^2*h'
V' = B*h'

Ken is adding a ribbon border to the edge of his kite.Two aides of the kite measure 9.5 inches,while the other two sides measure 17.8.How much ribbon does Ken need?

Answers

54.6 inches
9.5 times 2 is 19
17.8 times 2 is 35.6
19 plus 35.6 is 54.6 inches

There are 54.6 inches ribbon does Ken need.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Ken is adding a ribbon border to the edge of his kite.

Here, Two aides of the kite measure 9.5 inches, while the other two sides measure 17.8.

Hence, Total length of ribbon is,

⇒ 2 × 9.5 + 2 × 17.8

⇒ 19 + 35.6

⇒ 54.6 inches

Thus, There are 54.6 inches ribbon does Ken need.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ3

The area of a rectangular swimming pool is
10x2 – 19x – 15. The length of the pool is 5x + 3.
What is the width of the pool?

Answers

width 2x-5 hope this helped

Can anyone please help

Answers

Hello,

9)
∠DBC=90-54=36°
∠CAD=∠DBC=36°

10)
∠BOC=1/2(360-2*100)=1/2*160=80°
∠l=1/2∠AOD=1/2∠BOC=40°

11)
JL=10
JA=7==>AL=10-7=3

LC=AL=3
LK=11
CK=11-3=8

KB=KC=8
BJ=JA=7

perimeter=10+11+15=36

In the decimal number 26.513, what number is in the tens place?

Answers

Hi !

In the decimal number 26.513:

2 is in the tens place.

Find the surface area of a sphere with a radius of 30 m. leave your answer in terms of pi @Directrix

Answers

The formula for surface area of a sphere: A = 4 pi r^2.
Since the radius is 30 m then A = 4pi30^2.
30^2 x 4 =3600
A=3600pi m

What would happen to the buying power of your investment after one year if your rate of return was 3% and the rate of inflation was 3%?

Answers

Purchasing power is the value of a currency expressed in terms of the amount of goods or services that one unit of money can buy. A rate of return is the annual percentage return realized on an investment, which is adjusted for changes in prices due to inflation or other external effects.
Given:
Rate of return = 3%Rate of inflation =3%
Buying Power = 3% - 3% = 0%
Thus, the buying power will remain same for the year.

Help plz!!
Graph of y equals negative 2 times x squared plus 40 x plus 600
Which of the following coordinates is not an intercept for the function?

A. (−10, 0)
B. (0, 600)
C. (0, 800)
D. (30, 0)

Answers

There would not be two Y-Intercepts, so it is either B or C
Since you can determine the intercept through the equation y=mx+b and b in this equation is 600 so the answer is C

Answer:

0,800

Step-by-step, explanation: took test and got correct

Suppose you are given the graph of y = f (x) . Explain how to obtain the graphs of
a. y = f (x / 2)
b. y = f (x - 2)
c. y = f (2 x - 1)

Answers

Suggest you make yourself a list of transformations and their associated rules. The ones you're concerned with here are
.. f(x) ⇒ f(kx) . . . . . . horizontal compression by a factor of k
.. f(x) ⇒ f(x -k) . . . . . right shift by k units

a) Each point (x, y) gets moved to (2x, y). The graph is expanded horizontally by a factor of 2.

b) Each point (x, y) gets moved to (x+2, y). The graph is translated horizontally 2 units to the right.

c) Each point (x, y) gets moved to ((x +1)/2, y). The graph is translated horizontally 1 unit to the right, then compressed horizontally by a factor of 2.

solve
USA Highschool Geometery

Answers

The angle bisector divides the opposite side into segments proportional to the sides of the triangle.

side of length 4 is divided into segments 11 : 13. One is 4*11/24 = 11/6, the other 13/6.

side of length 11 is divided into segments 4 : 13. One is 11*4/17 = 44/17, the other is 11*13/17 = 143/17

side of length 13 is divided into segments 4 : 11. One is 13*4/15 = 52/15, the other is 13*11/15 = 143/15

Other Questions

A sample of an ideal gas has a volume of 2.31 l at 287 k and 1.10 atm. calculate the pressure when the volume is 1.45 l and the temperature is 298 k. Baby jane has begun to develop a sense of trust. she expects that her mother willrespond when signaled. but jane does not protest when separated from hermother. in which of bowlby's phases does jane best fit What forms during the zygote period to cushion and protect the zygote? PLEASE HELP!!!!A. Y=|x+4|+2B. y=|x-4|+2C. y=|x+4|-2D. y=|x-4|-2 What is the length of z ? Jack is working with layer masks on an image, but he is worried that he may damage the image. Which of these would be an accurate fact about layer masks? :) anyone know this please what other information do you meed to prove ABEEDA by SSS .5pts how do you find the least common multiple of 16 and 42? Today, the great Pyramid of Giza bear Cario, Eygpt, stands 137 meters tall, coming to a point . A base is a square with each side measuring 230 meters wide. What is the slope of the pyramid What is the transfer of heat through a solid as a result of molecular action called? radiation convection conduction magnetism? Today Ian wants to run less than 7/12 mile. Write a fraction with a denominator of 4 to respresent a distance that is less than 7/12. 1.) Which of the following statements best describes the motivation behind European imperialism?A.) European leaders believed the colonies were more advanced societies.B.) European leaders felt imperialism would provide opportunities to learn from other cultures.C.) European leaders felt imperialism would improve their economy.D.) European leaders felt imperialism would prevent wars with other nations. Help!! does x = 2??An equation is shown below:4(2x - 5) + 15 = 11Write the steps you will use to solve the equation and explain each step. Solve please This is Composite Figures :) During each heartbeat, about 80 g of blood is pumped into the aorta in approximately 0.2 s. during this time, the blood is accelerated from rest to about 1 m/s. what is the average force on the blood during this time? A smoothie recipe calls for 2 1/4 cups of frozen mango. If the recipe serves two, how many cups of frozen mango is needed to serve one Indicate whether the sentence or statement is true or false. At the Munich Conference, Hitler promised that Germany would not invade any further territory once it acquired the Sudetenland. Britain and France agreed to these terms in order to preserve peace. The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.a. find the probability of a pregnancy lasting 309 days or longer.b. if the length of pregnancy is in the lowest 44%, then the baby is premature. find the length that separates premature babies from those who are not premature. What is the equation of the axis of symmetry for the parabola y equals start fraction one over three end fraction left parenthesis x plus one right parenthesis squared minus three?