what is the gradient of the blue line Attachment below!!!!!!!!!!!

What Is The Gradient Of The Blue Line Attachment Below!!!!!!!!!!!

Answers

Answer 1

Answer:

-3 Or 3 it could be any one of them

Step-by-step explanation:

-3 or 3

Rise/run so an


Related Questions

Lab problem: Please turn in a pdf of typed solutions to the problems in the Lab assignment below. Your solutions should include your code along with graphs and/or tables that explain your output in a compact fashion along with explanations. There should be no need to upload m-files separately. 6. Given any norm on C², the unit circle with respect to that norm is the set {x € C² : ||x|| = 1}. Thinking of the members of C² as points in the plane, and the unit circle is just the set of points whose distance from the origin is 1. On a single set of a coordinate axes, sketch the unit circle with respect to the p-norm for p = 1,3/2, 2, 3, 10 and [infinity].

Answers

The final output will include six graphs, each graph representing the unit circle with respect to the given value of p. The explanation and code will be included in the solution PDF. There should be no need to upload m-files separately.

Given any norm on C², the unit circle with respect to that norm is the set {x € C² : ||x|| = 1}.

Thinking of the members of C² as points in the plane, and the unit circle is just the set of points whose distance from the origin is

1. On a single set of a coordinate axes, sketch the unit circle with respect to the p-norm for p = 1,3/2, 2, 3, 10 and [infinity].

To sketch the unit circle with respect to the p-norm for p = 1,3/2, 2, 3, 10 and [infinity], we can follow the given steps:

First, we need to load the content in the Lab assignment in MATLAB.

The second step is to set the value of p (norm) equal to the given values i.e 1, 3/2, 2, 3, 10, and infinity. We can store these values in an array of double data type named 'p'.

Then we create an array 't' of values ranging from 0 to 2π in steps of 0.01.

We can use MATLAB's linspace function for this purpose, as shown below:

t = linspace(0,2*pi);

Next, we define the function 'r' which represents the radius of the unit circle with respect to p-norm.

The radius for each value of p can be calculated using the formula:

r = (abs(cos(t)).^p + abs(sin(t)).^p).^(1/p);

Then, we can plot the unit circle with respect to p-norm for each value of p on a single set of a coordinate axes. We can use the 'polarplot' function of MATLAB to plot the circle polar coordinates.

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HELP PLEASE?e?e?e?E?E?E?E?EE?E?E?e

HELP PLEASE?e?e?e?E?E?E?E?EE?E?E?e

Answers

Answer:

1/2

Step-by-step explanation:

You put 5 as a numerator and then 10 as a denominator which is 5/10. But you can simplify it, so you change it to 1/2. Hope this helps!

Answer:

1/2

Step-by-step explanation:

?
Which number is equivalent to 5 x 10+4 x 1+8 x 16 + 6 x 100 +1x
1,000

Answers

Answer:

1,854

Step-by-step explanation:

MULTIPLY FIRST:

5 x 10 = 50

4 x 1 = 4

8 x 16 = 128

6 x 100 = 600

1 x 1000 = 1000

ADD:

50 + 4 + 128 + 600 + 1000 = 1,854

Answer:

you should multiply and add whatever the questions says than you should add

PLEASE HURRY, LIMITED TIME EARLY!!!
Question-The center of circle A with equation (x – 7)2 + (y – 1)2 = 16 is mapped to the center of circle B with equation (x + 8)2 + (y – 2)2 = 16. Determine the translation needed for this mapping.
Answers-
A. (x, y) ⟶ (x - 15, y + 1)
B. (x, y) ⟶ (x - 12, y + 9)
C. (x, y) ⟶ (x - 8, y + 2)
D. (x, y) ⟶ (x + 15, y - 1)

Answers

The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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The magnitude of a city can be defined as the common logarithm of the population, P. In 2007, Tallahassee had a population of about Test Image people. The town of Bascom, FL, had a population of about Test Image people. What is the difference in magnitude between Tallahassee and Bascom?

Answers

The difference in magnitude between Tallahassee and Bascom is approximately 2.2475.

Let's use the formula for the magnitude of population, which is given by:

magnitude = log(P)

where P is the population.

For Tallahassee, the population is about 188,000, so we have:

magnitude of Tallahassee = log(188000)

Using a calculator, we can find that the magnitude of Tallahassee is approximately 5.2745.

For Bascom, the population is about 1065, so we have:

magnitude of Bascom = log(1065)

Using a calculator, we can find that the magnitude of Bascom is approximately 3.0270.

To find the difference in magnitude between the two cities, we simply subtract the magnitude of Bascom from the magnitude of Tallahassee:

difference in magnitude = magnitude of Tallahassee - magnitude of Bascom

Substituting the values we found, we get:

difference in magnitude = 5.2745 - 3.0270

Simplifying, we get:

difference in magnitude ≈ 2.2475

Therefore, the difference in magnitude between Tallahassee and Bascom is approximately 2.2475.

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The development of AstroWorld ("The Amusement Park of the Future") on the outskirts of a city will increase the city's population at the rate given below in people/year tyr after the start of construction.
3,300√t+15,000x Population Growth in the Twenty-First Century The population before construction is 24,000. Determine the projected population 4 yr after construction of the park has begun. people

Answers

The projected population 4 years after construction of AstroWorld has begun is 290,400 people.

To determine the projected population 4 years after construction of AstroWorld has begun, we can use the given population growth rate equation:

Population growth rate (tyr) = 3,300√t + 15,000x

Given that the population before construction is 24,000, we can consider t as the number of years after the start of construction. So, when t = 0 (at the start of construction), the population is 24,000.

To find the projected population 4 years after construction, we substitute t = 4 into the population growth rate equation:

Population growth rate (tyr) = 3,300√(4) + 15,000(4)

                           = 3,300(2) + 60,000

                           = 6,600 + 60,000

                           = 66,600

The population growth rate at t = 4 is 66,600 people/year. Adding this growth rate to the initial population of 24,000, we can calculate the projected population after 4 years:

Projected population after 4 years = Initial population + Population growth rate * Number of years

                                 = 24,000 + 66,600 * 4

                                 = 24,000 + 266,400

                                 = 290,400

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Gabriela has an average daily balance of $232. 94 on her credit card. Her card charges 9. 25% annual interest. What will her monthly finance charge be?

Answers

Her monthly finance charge will be: $1.80

Now, According to the question:

Gabriela has an average daily balance of $232. 94 on her credit card.

and, Her card charges 9. 25% annual interest.

Based on the given condition:

$232.94 × 9.25%

232.94 × 9.25/100

Calculate the product or quotient:

232.94 × 9.25/100 = 21.54694

21.54694 rounds up to 21.55

Her monthly finance charge will be:

21.55/12 = 1.7958333333

1.7958333333 round up 1.80

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HELP SOLVE FOR 20 POINTS

HELP SOLVE FOR 20 POINTS

Answers

Answer: Circle 2

Step-by-step explanation:

If you show that angle 2 is equal to angle 3, then since angle 1 is equal to angle 2, angle 1 is equal to angle 3, which proves that the 2 lines are parallel.

(The wording is a bit weird sorry)

heyyy i really need help with this

heyyy i really need help with this

Answers

Answer:

Step-by-step explanation:

heyyy i really need help with this

If the area of a triangle whose base measures 3 cm is 6 sq.cm, then its height is
O 4 cm
O 2 cm
O 6 cm
O 5 cm​

Answers

Answer:

then the height would be 2 because 3*2=6

Step-by-step explanation:

Answer:

4 cm

Step-by-step explanation:

area of triangle is: area = (base*height)/2.

since the area is 6 m^2, and base is 3 cm,

6 m^2  = (3 m*height)/2

12m^2 = 3 m*height

height = 4 m

For a 10 point quiz, the professor recorded the following scores for 8 students: 7, 8, 3, 9, 10, 6, 8, 5 What is the Mean for this set of scores?

Answers

The mean score for this set of scores is 7.

In statistics, the mean refers to the measure of central tendency or average of a set of numbers. The mean is used to describe the typical value in a set of data. It is calculated by adding up all the values in the set and dividing the sum by the total number of values.

So, for the given set of scores, we have:

7 + 8 + 3 + 9 + 10 + 6 + 8 + 5 = 56

There are 8 scores in the set, so we divide by 8 to get the mean:

Mean = 56 / 8 = 7

Therefore, the mean score is 7.

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At a football game, a vender sold a combined total of 160 sodas and hot dogs. The number of sodas sold was 54 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.

Answers

At the football game, the vendor sold a total of 160 sodas and hot dogs. The number of sodas sold was 54 more than the number of hot dogs sold. The number of sodas sold was 107, and the number of hot dogs sold was 53.

Let's assume the number of hot dogs sold as x. Since the number of sodas sold was 54 more than the number of hot dogs sold, the number of sodas sold can be expressed as (x + 54).

According to the given information, the total number of sodas and hot dogs sold is 160. So, we can write the equation as:

x + (x + 54) = 160

Simplifying the equation, we get:

2x + 54 = 160

2x = 160 - 54

2x = 106

x = 53

Therefore, the number of hot dogs sold is 53. Substituting this value back into the equation for the number of sodas sold, we get:

Number of sodas sold = x + 54 = 53 + 54 = 107

Hence, the vendor sold 107 sodas and 53 hot dogs during the football game.

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Suppose 5 out of every 18 of the people who like to work out have a gym membership. At the same rate, in a group of 216 people, how many people would have a gym membership?

Answers

Answer:

60 people

Step-by-step explanation:

Set up a proportion:

\(\frac{5}{18}\) = \(\frac{x}{216}\)

Cross multiply and solve for x:

18x = 1080

x = 60

So, 60 people would have a gym membership

what expressions are equivalent to 12x-42 (choose all that apply)

6(2x-7)
3(4x-39)
2(6x-21)
-2(-6x-40)

Answers

6(2x-7) and 2(6x-21)
Both equals to 12x-42
6*2x=12x & 6*(-7)=-42 –> 12x-42
2*6x=12x & 2*(-21)=-42 —> 12x-42

Solve for X and round to the nearest tenth.

Answers

Answer:

Step-by-step explanation

what are  the digits

pls thank you pls explain it

pls thank you pls explain it

Answers

The surface area of the shed is given as follows:

S = 367.2 m².

What is the surface area of a rectangular prism?

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.

The shed in this problem is composed as follows:

Rectangular prism of dimensions 6m, 10 m and 3 m.Two rectangles of dimensions 6m and 10 m.Two triangles of base 6 m.

The height of each triangle is obtained as follows:

h² + 3² = 6²

\(h = \sqrt{6^2 - 3^2}\)

h = 5.2 m.

Hence the surface area is given as follows:

S = 2 x (6 x 10 + 6 x 3 + 10 x 3) + 2 x 6 x 10 + 2 x 0.5 x 6 x 5.2

S = 367.2 m².

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Which expression is equivalent to 8.7u + 1.4 + 3.2u - 9.5?

Answers

Answer:

Which expression is equivalent to 8.7u+1.4+3.2u−9.5 ?

Households in a city produced a total of 125 000 tonnes of waste in 2017. The total amount of waste is expected to fall by 2% each year. Calculate the total amount of waste these households are expected to produce in 2020.

Answers

The total amount of waste these households are expected to produce in 2020 is 117,649 tones.

Define Modelling Exponential Decay

A model for decay of a quantity for which the rate of decay is directly proportional to the amount present.A(1 - r)^tA = Present value , r = rate, t = time

Given,

Total tonnes of waste in 2017 = 125 000 tonnes

The rate of fall each year is = 2%

Now, find the total amount of waste produce in 2020.

There are 3 years from 2017 to 2020.

So, the amount of waste produce is

= 125000 (1 - 2/100) ^ 3

= 125000 (0.98) ^ 3

= 125000 * 0.941192

= 117,649

Hence, the total amount of waste these households are expected to produce in 2020 is 117,649 tones.

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U is the midpoint of TV. If TU =6x-8 and UV =4x+10, what is the length of TV ?

Answers

Answer: TV = 92

Step-by-step explanation:

since U is the mid point you would set segemnts TU and UV to equal each other and solve for x . when you solve you will get x = 9 . then you would have to add TU and UV together and pull in 9 for x and you will get the answer 92

Select correct and say three museum charge 8 inches free based on the number of visitors in the group the table list the fee charge by the museum at the which museum is the entry fee proportional to the number of visitors

Select correct and say three museum charge 8 inches free based on the number of visitors in the group

Answers

Answer:

museum c

Step-by-step explanation:

to find this answer you must find the store in which it goes up by a constant  number each time

OR

their x to y ratio is always the same

in this case

this answer would be museums c as the x to y ratio is always 3 to 4

12 to 16 and 18 to 24 all equal 3 to 4

1. The volume of a right circular cylinder is 1100 cm³ and the radius of its base is 5 cm. Calculate its curved surface area.

2. What is the smallest number by which 256 may be divided so that the quotient is perfect cube?

No answers from g0ogle ​

Answers

Answer :-

440 cm2 4

Solution :-

#1

Volume of a right circular cylinder = 1100 cm³ πr² h = 1100 cm³Here r = 5(22/7) ⋅ (5)² ⋅ h = 1100h = 2/7Curved surface area of cylinder = 2 πr h 2 ⋅ (22/7) ⋅ 5 ⋅ (2/7)440 cm²

♧ So, the curved surface area of cylinder is 440²

#2

To find the number required to divide 256 such that the quotient is a perfect cube, we have to decompose 256 into prime factors.

\(\sf\longmapsto \sqrt[3]{256} \)

When we group the prime factors inside the cube root as triples, we left over with 2⋅ 2. That is 4. Hence 4 is the smallest number required to divide 256 so that the quotient is a perfect cube.

Hope it helps

Complete the table of values. Please help!

Complete the table of values. Please help!

Answers

Answer:

Step-by-step explanation:

Where we have "x" must replace for the number shown on table

We have for "x" tha numbers: 0; 1; 2; 3; 4 and 5

Equation:

1.y = x+4

y = x + 4

For x = 0

y = x + 4

y = 0 + 4

y = 4

For x = 1

y = x + 4

y = 1 + 4

y = 5

For x = 2

y = x + 4

y = 2 + 4

y = 6

For x = 3

y = x + 4

y = 3 + 4

y = 7

For x = 4

y = x + 4

y = 4 + 4

y = 8

For x = 5

y = x + 4

y = 5 + 4

y = 9

So:

x     y

0    4

1     5

2    6

3    7

4    8

5    9

I hope help you.

HELP NOW FOR MEGA POINTS
Which statement below about the graph of f(x)=-log(x+4)+2 is true?
1) f(x) has a y-intercept at (0,2)
2) −f(x) has a y-intercept at (0,2)
3) As x → ∞, f(x) → ∞.2)
4) x → −4, f(x) → ∞
SHOW WORK

Answers

Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

Does the function f(x) = 25e-2x represent exponential growth, decay, or neither?

Answers

The given function f(x) = 25e^(-2x) represent the exponential decay.

According to th egiven question.

We have an exponential function.

f(x) = 25e^(-2x)

As we know that

If \(P = P_{o} e^{-kt}\) be an exponential function, then it will represent

an exponential growth if  0 < e^(-k) < 1an exponential decay if e^(-k) >1

Where,

P is the final amount

\(P_{o}\) is the intial amount

t is the time interval

k is the constant of proportionality

For the given question if we compare the given exponential function with the standard exponentential function we get

\(P_{o}\) = 25

k = 2

and t = x

Now,

e^(-2) = 0.13

Since, e^(-2) < 1.

Hence, the given function f(x) = 25e^(-2x) represent the exponential decay.

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What is the least common multiple (lcm)of 2,3, and 6

Answers

Answer:  6

Explanation:

List list the multiples of each value

multiples of 2 = {2, 4, 6, 8, 10, ...}multiples of 3 = {3, 6, 9, 12, 15, ...}multiples of 6 = {6, 12, 18, 24, ...}

In each list, we see 6 show up. This is the smallest multiple that is in common; therefore, the LCM is 6

Side note: The LCM is useful to help add and subtract fractions.

How many quarters are there in $2?

Answers

Answer:

8 quarters

Step-by-step explanation:

4 quarters for a dollar

did u really need help on this question

Answer:

8 quarters are in two dollars

Step-by-step explanation:

There is four quarters in one dollar so when you have two there is eight quarters total.

The first play in a football game starts at the
50-yard line and results in a gain of 25 yards for
Team A. On the next play, Team B has a gain of
25 yards in the opposite direction. Where is the
ball after the second play?

Answers

It’s back in the 50 yard line

Jon and Nik share some money in the ratio 5 2
Jon gets £150 more than Nik.
How much money do they share altogether?

Answers

Answer:

If we forget about the £150 more for a second then we can think of some very basic scenarios where the 5 : 2 ratio is satisfied. For example, Jon has £5 Nik has £2 or Jon has £10 Nik has £4 and so on. From this information we can set up an equation to find what Nik has if Jon has say £100. What is that equation? we let J represent how much Jon has and N represent how much Nik has then we can say2J = 5N and this comes directly from the ratio given.Now we consider the £150 more that Jon gets and we can set up another equationJ = N + 150 if Nik got £150 more then they'd have the same.So now we have 2 equations and two variables and we can solve it like they're simultaneous equations. There are a couple of methods for solving simultaneous equations but in this case the method to use is obvious, substitution. We use substitution because our second equation J = N + 150 is already in terms of J so we can just substitute it in to the first equation. By doing this we get2(N + 150) = 5N now we expand the brackets2N + 300 = 5N take N on to one side300 = 3N make N the subjectN = 100 we have an equation to find what J is if N is 100, 2J = 5N2J = 5(100) make J the subjectJ = 250

Step-by-step explanation:

Find the area of the shape shown below.

Find the area of the shape shown below.

Answers

Answer:

The answer should be 4800

I Think There is ALLWAYZ a 50-50 CHANCE

Mhanifa please help! This is due soon and I dont want to fail

Mhanifa please help! This is due soon and I dont want to fail

Answers

Answer:

#1

Sum of interior angles is 180:

y = 180 - (42 + 31) = 107

The law of sines:

x / sin 107 = 11 / sin 42x = 11 sin 107deg / sin 42deg x = 15.72

#2

The law of cosines:

cos 76  = (6² + 17² - x² )/2(6)(17)204*0.24 = 325 - x²x² = 325 - 48.96x² = 276.04x = √276.04x = 16.61

#3

Same as above:

2*9.4*10*cos 20 = (10² + 9.4² - x²)176.66 = 188.36 - x²x² = 188.36 - 176.66 x² = 11.7x = √11.7x = 3.42

#4

Sum of interior angles is 180:

y = 180 - (52 + 94) = 34

The law of sines:

x / sin 34 = 15 / sin 94x = 15 sin 34  / sin 94 x = 8.41
Other Questions
Why can some substances be reused while others can't? extinction is defined as eliminating a previously learned behavior by withholding reinforcement. True or false? You've observed the following returns on Pine Computer's stock over the past five years: 16 percent. -5 percent, 19 percent, 13 percent, and 10 percent. Suppose the average Inflation rate over this period was 2.2 percent and the average T-bill rate over the period was 5.3 percent. a. What was the average real return on the company's stock? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g. 32.16.) b. What was the average nominal risk premium on the company's stock? (Do not round Intermediate calculations and enter your answer as a percent rounded to 1 decimal place, e.g., 32.1.) Answer is complete but not entirely correc Which expression is equivalent to A delivery company defines a "defective unit" as a package delivered later than the promised delivery time. Management wants to monitor the proportion of such defective packages per week and plans to sample 120 packages every week. The appropriate control chart is a(n):Select one:a. -chart.b. p-chart.c. R-chart.d. np-chart. In TUV, the measure of V=90, the measure of T=72, and TU = 36 feet. Find the length of VT to the nearest tenth of a foot. Solve for xx= 4x+2 3x+24 consider some data s r 2 , generated via 2 independent, non gaussian, sources. this generates a datapoint x via x Which of the following statements is true? Publicly traded U.S. companies must provide an annual report to their shareholders when operating conditions change significantly. B. An unqualified independent auditor's report must be included in the annual report. . Notes to the financial statements do not need to be included in the annual report because that information is only for internal users. D.None of these answer choices are correct. Why was it so important to limit the King's power with the Magna Carta? What technique would you choose to forecast the IncomeStatement in future fiscal years? Why? Your instructor has just completed building a logistic regression model on a data set with 399 observations. The data set has no missing observations. Let the positive outcomes be denoted by 1 and the negative outcomes be denoted by 0. The following information is known about the model performance: 1. The model predicted 161 positive outcomes. 2. The model correctly predicted 144 positive outcomes. 3. The model correctly predicted 221 negative outcomes. How many subjects who in reality had a negative outcome were predicted by the Where did martin luther king jr give his i have a dream speech. The Lansing Community College registrar's office is considering replacing some Canon copiers with faster copiers purchased from Kodak.The office's 4 Canon machines are expected to last 5 more years. They can each be sold immediately for $1,300; their resale value in 5 years will be zero. The Canon machines require 4 operators; they are each paid $8.30 an hour and work 39 hours a week and 52 weeks a year. The machines break down periodically, resulting in annual repair costs of $1,260 for each machine. The cost of supplies for each machine will be $960 a year.The total cost of the new Kodak equipment will be $111,000. The equipment will have a life of 5 years and a total disposal value at that time of $2,300. The Kodak system will require only 3 regular operators, working the same number of hours and earning the same wages. Kodak has offered the college a maintenance contract that covers all machine breakdowns; the cost of the contract is $960 per year. The cost of supplies for all the machines combined will be $3,120 a year.RequiredAssuming a discount rate of 14%, compute the difference between the net present value if the registrar's office keeps the Canon copiers and the net present value if it buys the Kodak copiers. [Note: If your results favor keeping the Canon copiers, enter your net present value difference as a positive number; if your results favor buying the Kodak copiers, enter your net present value difference as a negative number.] What is a chromatin in biology? Do you think people used energy before modern times? Why or why not?PLEASEEEEEEE HURRRRY What does Elizabeth's observation that John's real court is in his own heart reveal to us about John's character? What is the value of y when x is 40? What does that number mean in your story? what was the first working vehicle powered by At a certain altitude a barometer using water (density 0.99g0cm) as the barometric liquid gave a pressure that was recorded as 85cm H2O. if be a we density 0.879g/cm was used in the barometer calculate the height of the barometer under the same condition?