true or false: the range of the graph is the same as the domain.

True Or False: The Range Of The Graph Is The Same As The Domain.

Answers

Answer 1

The domain is the set of all possible values of x-variable

The range is the set of all possible values of y-variable

From the picture, the x-values and y-values vary from -4 to 4. Then, the range of the graph is the same as the domain.​ (True)


Related Questions

the school buys pencils for .20 each. it sells the pencils for .25 each. how much profit does the store make if it sells five dozen pencils

Answers

The stor buys the pencils for 0.20 and sells them for 0.25.

The difference between these two values represents the profit per pencil:

0.25-0.20= 0.05

The store profits 0.05cents per pecil sold.

One dozen equals 12 pencils, multiply it by 5 to know how many pencils are in 5 dozens:

12*5=60

The store sold 5 dozen pencils, this means they sold 60 pencils.

Multiply the profit per pencil by the total number of pencils sold to get how much they made:

60*0.05=3

For the 5 dozen pencils sold, the store made $3 profit.

ΔQRS is an isosceles triangle. What is the length of RT¯¯¯¯¯
R
T
? Round to the nearest hundredth. Enter your answer in the box.

QRS is an isosceles triangle. What is the length of RTRT ? Round to the nearest hundredth. Enter your

Answers

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{11}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{RT} \end{cases} \\\\\\ RT=\sqrt{ 11^2 - 6^2}\implies RT=\sqrt{ 121 - 36 } \implies RT=\sqrt{ 85 }\implies RT\approx 9.22\)

22. Choose ALL the expressions that are equal to 18m+36*
3(15m+33)
6(3m+6)
2(9m+18)
6(3m+30)
3(6m+12)
18(m+2)

Answers

Answer:

6(3m + 6)

mark me brainliest

answer: 2,3,5 and 6
explanation:

Which sign makes the following statement true?
1/4 _____ 5/16

Which sign makes the following statement true?1/4 _____ 5/16

Answers

Answer:

2. <

Step-by-step explanation:

To compare these two fractions we can first find them a common denominator. A common denominator between 4 and 16 is 16.

To get from 16 from 4 we multiply by 4 so we do the same to the numerator, changing 1/4 to 4/16.

5/16 already has a denominator of 16 so we can leave that one as is.

4/16___5/16

In this form it is obvious that 5/16 is the larger fraction because 5 is larger than 4, meaning that 5/16 is larger than 1/4.

Write the phrase, 6 divided by p, as an algebraic expression

divisiond i v i s i o n

6p6 over p

p6

Answers

Answer:

p/6 division

Step-by-step explanation:

if an angle is obtuse, what type of angle is the supplement

Answers

the answer is acute

A tank is full of water. Find the work (in ft-lb) required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft3. (Round your answer to the nearest whole number.) 3 ft6 ft12 ft A frustum of a cone with a spout is given. The smaller radius is 3 ft, the larger radius is 6 ft, and the height is 12 ft.

Answers

The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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What is the coefficient of X when solved3x - 6(5x+3) = 9x+6

Answers

The coefficient of x in 3x - 6(5x+3) = 9x +6 is -36

What is coefficient?

Coefficient is a number that is being multiplied by the variable. for example in 5x² + 6x there are two terms which are x² and x, they are variables and the coefficient of x² is 5 and coefficient of x is 6.

Similarly, for us to get the coefficient of x , we need to simplify the expression.

3x -6(5x+3) = 9x +6

3x -30x -18 = 9x + 6

collecting like terms

-27x -9x = 6 +18

-36x = 24

therefore the coefficient of x is -36

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Find the midpoint of a line segment with
endpoints A(-5, 5) and B(2, -5). Leave your answer
in fraction form.
Show your own work

Answers

Answer:

  (-3/2, 0)

Step-by-step explanation:

You want the midpoint of line segment AB with end points A(-5, 5) and B(2, -5).

Midpoint

The midpoint of a line segment has coordinates that are the average of the end point coordinates.

  M = (A +B)/2

  M = ((-5, 5) +(2, -5))/2 = (-5+2, 5-5)/2 = (-3, 0)/2

  M = (-3/2, 0)

The midpoint of the line segment is (-3/2, 0).

Ralph chase plans to sell a piece of property for $145000. He wants the money to be paid off in two ways a short term note at 11% interest and a long term note at 8% interest. Find the amount of each note if the total annual interest paid is $13850.

Answers

Given :

Price of property , P = $145000 .

Money paid off in two ways a short term note at 11% interest and a long term note at 8% interest.

Total interest , I = $13850 .

To Find :

The amount of each note .

Solution :

Let , x money is paid off in 11 % interest rate and ( 145000-x) in 8% interest rate.

Therefore , their sum of interest in mathematics is given by :

\(\dfrac{11x}{100}+\dfrac{8(145000-x)}{100}=13850\\\\11x+1160000-8x=1385000\\\\3x=225000\\\\x=\$75000\)

Therefore , the amount of note is $75000 and $70000 for 11% and 8% interest rate respectively .

Hence , this is the required solution .

The following are the annual incomes (in thousands of dollars) for 8 randomly chosen, U.S. adults employed full-time.
44, 44, 54, 54, 65, 39, 54, 44
Send data to calculator
(a) What is the mean of this data set? If your answer is not an
integer, round your answer to one decimal place.
(b) What is the median of this data set? If your answer is not
an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are
their values? Indicate the number of modes by clicking in the
appropriate dircle, and then indicate the value(s) of the
mode(s), if applicable.
0
Zero modes
one mode:
Two modes:

Answers

Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

In this exercise, do not attempt formal mathematical derivations, which would actually involve some subtle issues when we go beyond discrete random variables. Rather, use your understanding of the concepts involved. For each one of the statements below, indicate whether it is true or false.
(a) The law of iterated expectations tells us that E [E[X|Y]] = E[X]. Suppose that we want apply this law in a conditional universe, given another random variable Z, in order to evaluate E [X2]. Then: EE[X|Y, 2]|2] = E[X2] y E[E[X|Y]|2] =E[X2] V EE[X|Y,Z]] =E[X2]
(b) Determine whether each of the following statements about the quantity E[g(X,Y)|Y,Z) is true or false. The quantity E[9(X,Y)|Y, 2) is: • a random variable y a number y a function of (X,Y) y a function of (Y,Z) | a function of Z only

Answers

Solution :

From the given equation :

E[ E (X|Y) ] = E (X)

a). Then,

   E[ E [ X|Y,Z] | Z] = E [ X|Z ]

     ----  True

   E [ E [ X|Y ] | Z ] = E [ X|Z ]

    ---- False

  E [E [X | Y,Z ]] = E [X|Y ]

    ----  False

b). Th quantity E [ g (X,Y) | Y,Z ] is ,

A random variable  -----  TrueA number  ----- FalseA function of (X,Y)  -----   FalseA function of (Y,Z) -----   TrueA function of Z only  -------   False

The low of iteration tell the following statement are true E[ E [ X|Y,Z] | Z] = E [ X|Z ] . A random variable y . A function of (Y,Z)

From the given equation the law of iterated expectations

\(E[ E (X|Y) ] = E (X)\)

Therefore We have to find a)

What is the definition of iteration?

Iteration is the repetition of a process in order to generate a sequence of outcomes.

So by using the low of iteration we can say that,

E[ E [ X|Y,Z] | Z] = E [ X|Z ]     ----  True

E [ E [ X|Y ] | Z ] = E [ X|Z ]  ---- False

E [E [X | Y,Z ]] = E [X|Y ]   ----  False

b). Th quantity E [ g (X,Y) | Y,Z ] is ,

For a random variable y this is  -----  True

For a number ----- False

For a function of (X,Y)  -----   False

For a function of (Y,Z) -----   True

For function of Z only  -------   False

Therefore,The low of iteration tell the following  statement are true E[ E [ X|Y,Z] | Z] = E [ X|Z ] . A random variable y . A function of (Y,Z)

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3,998-(-7)= can you please help me with this problem

Answers

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

How many edges does the figure have?
3
4
5
8

How many edges does the figure have?3458

Answers

Answer:

4 points

Step-by-step explanation:

if you look its only 4, 1 on top, and 3 around.

How many solutions does this equation have? –4c = 3c + 7

Answers

Answer: c=-1

Step-by-step explanation:

-4c=3c+7

0=7c+7

-7=7c

-1=1c

c=-1

Answer:-

Step-by-step explanation:

1=c

6. A company car purchased for $39,600 depreciates at 12% per annum. What is the car
worth after 3 years?

Answers

Answer:

$26,986.29

Step-by-step explanation:

We can use the formula for calculating the depreciation of an asset over time:

wor

\(\bold{D = P(1 - \frac{r}{100} )^t}\)

where:

D= the current value of the asset

P = the initial purchase price of the asset

r = the annual depreciation rate as a decimal

t = the number of years the asset has been in use

In this case, we have:

P = $39,600

r = 12% = 0.12

t = 3 years

Substituting these values into the formula, we get:

\(D= 39,600(1 - \frac{12}{100})^3\\D= 39,600(1 - 0.12)^3\\D= 39,600*0.88^3\\D= 39,600*0.681472\\D=26986.2912\)

Therefore, the car is worth approximately $26,986.29 after 3 years of depreciation at a rate of 12% per annum.

Answer:

$26,986.29

Step-by-step explanation:

As the car's value depreciates at a constant rate of 12% per annum, we can use the exponential decay formula to create a function for the value of the car f(t) after t years.

Exponential Decay formula

\(\boxed{f(t)=a(1-r)^t}\)

where:

f(t) is the value of the car (in dollars) after t years.a is the initial value of the car.r is the depreciation rate (as a decimal).t is the time period (number of years after purchase).

In this case, the initial value is $39,600, and the rate of depreciation is 12% per year. Therefore, the function that models the value of the car after t years is:

\(f(t)=39600(1-0.12)^t\)

\(f(t)=39600(0.88)^t\)

To calculate the value of the car after 3 years, substitute t = 3 into the function:

\(\begin{aligned} f(3)&=39600(0.88)^3\\&=39600(0.681472)\\&=26986.2912\\&=26986.29\;(\sf 2\;d.p.)\end{aligned}\)

Therefore, the car is worth $26,986.29 after 3 years.

Lamont and Carmela both wrote an expression to show the area of the shaded region.



Lamont wrote: 6(m-2)
Carmela wrote: 6m-12





Whose expression is correct?

Answers

Answer:

Both expressions are correct

6(m-2) = 6m-12

Lamont's expression is factoring or factorising

Carmela's expression is expanding

what is a factor of 84 but not a multiple of 3

Answers

Answer:

2

Step-by-step explanation:

A rectangular prism has the dimensions shown below.
3 cm
3 cm
12 cm
What is the volume of the rectangular prism?

A rectangular prism has the dimensions shown below.3 cm3 cm12 cmWhat is the volume of the rectangular

Answers

Answer:

108 cubic cm

Step-by-step explanation:

Multiply 3, 3, and 12. Just multiply the dimensions of the cubes.

Write the equation in slope-intercept form.
y+3 - 2(x-1)

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

\(y+3=2(x-1)\\y+3=2x-2\\y+3-3=2x-2-3\\y=2x-5\)

Determine the values of the parameter s for which the system has a unique solution, and describe the solution. x 1 - 5 sx 2

Answers

Answer:

\(s \ne \±2\)

\(x_1 = \frac{3s - 2}{3(s^2 -4)}\)

\(x_2 = \frac{2(s- 6)}{5(s^2 - 4)}\)

Step-by-step explanation:

Given

\(3sx_1 +5x_2 = 3\)

\(12x_1 + 5sx_2 =2\)

Required

Determine the value of s

Express the equations as a matrix

\(A =\left[\begin{array}{cc}3s&5\\12&5s\end{array}\right]\)

Calculate the determinant

\(|A|= (3s*5s -5 *12)\)

\(|A|= (15s^2 -60)\)

Factorize

\(|A|= 15(s^2 -4)\)

Apply difference of two squares

\(|A|= 15(s -2)(s + 2)\)

For the system to have a unique solution;

\(|A| =0\)

So, we have:

\(15(s -2)(s+2) = 0\)

Divide both sides by 15

\((s -2)(s+2) = 0\)

Solve for s

\(s -2 = 0\ or\ s +2 = 0\)

\(s = 2\ or\ s = -2\)

The result can be combined as:

\(s =\±2\)

Hence, the system has a unique solution when \(s \ne \±2\)

Next, we solve for s using Cramer's rule.

We have:

\(mat\ x_1 = \left[\begin{array}{cc}3&5\\2&5s\end{array}\right]\)

Calculate the determinant

\(|x_1| = (3 * 5s - 5 *2)\)

\(|x_1| = 15s - 10\)

So:

\(x_1 =\frac{|x_1|}{|A|}\)

\(x_1 = \frac{15s - 10}{15(s -2)(s+2)}\)

Factorize

\(x_1 = \frac{5(3s - 2)}{15(s -2)(s+2)}\)

Divide by 5

\(x_1 = \frac{3s - 2}{3(s -2)(s+2)}\)

\(x_1 = \frac{3s - 2}{3(s^2 -4)}\)

Similarly:

\(mat\ x_2 =\left[\begin{array}{cc}3s&3\\12&2\end{array}\right]\)

Calculate the determinant

\(|x_2| = 3s * 2 - 3 * 12\)

\(|x_2| = 6s- 36\)

So:

\(x_2 =\frac{|x_2|}{|A|}\)

\(x_2 = \frac{6s- 36}{15(s -2)(s+2)}\)

Factorize

\(x_2 = \frac{6(s- 6)}{15(s -2)(s+2)}\)

Divide by 3

\(x_2 = \frac{2(s- 6)}{5(s -2)(s+2)}\)

\(x_2 = \frac{2(s- 6)}{5(s^2 - 4)}\)

169 divided by 13 and also please explain it

Answers

Answer:

13

Step-by-step explanation:

169/13 = How many times does 13 go into 169?

13*13 = 169

Answer: 13

Step 1:

Start by setting it up with the divisor 13 on the left side and the dividend 169 on the right side like this:

             

 1 3 ⟌ 1 6 9

Step 2:

The divisor (13) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 1 3 ⟌ 1 6 9

Step 3:

Multiply the divisor by the result in the previous step (13 x 0 = 0) and write that answer below the dividend.

       0    

 1 3 ⟌ 1 6 9

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 1 3 ⟌ 1 6 9

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (6) like this:

       0    

 1 3 ⟌ 1 6 9

     - 0    

       1 6  

Step 6:

The divisor (13) goes into the bottom number (16), 1 time(s). Therefore, put 1 on top:

       0 1  

 1 3 ⟌ 1 6 9

     - 0    

       1 6  

Step 7:

Multiply the divisor by the result in the previous step (13 x 1 = 13) and write that answer at the bottom:

       0 1  

 1 3 ⟌ 1 6 9

     - 0    

       1 6  

       1 3  

Step 8:

Subtract the result in the previous step from the number written above it. (16 - 13 = 3) and write the answer at the bottom.

       0 1  

 1 3 ⟌ 1 6 9

     - 0    

       1 6  

     - 1 3  

         3  

Step 9:

Move down the last digit of the dividend (9) like this:

       0 1  

 1 3 ⟌ 1 6 9

     - 0    

       1 6  

     - 1 3  

         3 9

Step 10:

The divisor (13) goes into the bottom number (39), 3 time(s). Therefore put 3 on top:

       0 1 3

 1 3 ⟌ 1 6 9

     - 0    

       1 6  

     - 1 3  

         3 9

Step 11:

Multiply the divisor by the result in the previous step (13 x 3 = 39) and write the answer at the bottom:

       0 1 3

 1 3 ⟌ 1 6 9

     - 0    

       1 6  

     - 1 3  

         3 9

         3 9

Step 12:

Subtract the result in the previous step from the number written above it. (39 - 39 = 0) and write the answer at the bottom.

       0 1 3

 1 3 ⟌ 1 6 9

     - 0    

       1 6  

     - 1 3  

         3 9

     -   3 9

           0

Step-by-step explanation:

Hope this helps!! :))

4. In a mixture of 45 litters, the ratio of sugar solution to salt solution is 1:2. What is the
amount of sugar solution to be added if the ratio has to be 2:1?​

Answers

Answer:

15

Step-by-step explanation:

The amountt of sugar and salt would be x and 2x

x+2x=45x

so sugar solution =15 and salt solution =30

ratio =2:1 then sugar =30 salt =15

The amount of sugar solution to be added =30-15=15

Solve the following equations by graphing. Give your answer to the nearest tenth.

Solve the following equations by graphing. Give your answer to the nearest tenth.

Answers

Remember that

when solving a system of equations by graphing, the solution is the intersection of both graphs

so

Part A

we have

3(2^x)=6x-7

that is the same that

y=3(2^x)

y=6x-7

The solution is the x-coordinate of the intersection point in both graphs

using a graphing tool

There are no intersection points

that means

The system has no solution

Part B

we have

10x+5=-x+8

y=10x+5

y=-x+8

The solution is the x-coordinate of the intersection point in both graphs

using a graphing tool

The solution is x=0.27
Solve the following equations by graphing. Give your answer to the nearest tenth.
Solve the following equations by graphing. Give your answer to the nearest tenth.

hope anyone help me please​

hope anyone help me please

Answers

9514 1404 393

Answer:

  a) Lahulspiti: -8; Srinigar: -2; Shimla: 5; Ooty: 14; Bengahuru: 22

  b) 30

  c) 6

  d) yes; no

Step-by-step explanation:

a) The values are read from the graph.

__

b) 22 -(-8) = 22 +8 = 30 . . . . difference between highest and lowest

__

c) -2 -(-8) = -2 +8 = 6 . . . positive difference

(Technically, the difference between L and S is L - S = (-8) -(-2) = -6.)

__

d) -2 + 5 < 5 . . . . true

  -2 + 5 < -2 . . . . false

if the area of the origional rectangle is 7ft by 15ft and the scale is going by 1 inch to 2000 feet, what's the area of the scale rectangle?​

if the area of the origional rectangle is 7ft by 15ft and the scale is going by 1 inch to 2000 feet,

Answers

Answer:

you should try searching it up

Step-by-step explanation:

What conclusions can you draw from the graph?

What conclusions can you draw from the graph?

Answers

Answer:

My best conclusion (simply put) is that you had a higher score than the average class.

Step-by-step explanation:

It obvious that the green dots is above the averages of both bars. It would be safe to think that you scored higher than the average of the entire class in both predictions and parabolas.

how do you find the surface area and volume of a cylinder ​

Answers

Answer:

The surface area of a shape is the sum of the area of all of its faces. To find the area of a cylinder, you need to find the area of its bases and add that to the area of its outer wall. The formula for finding the area of a cylinder is A = 2πr2 + 2πrh.

Step-by-step explanation:Surface area of a cylinder = 2πr 2 + 2πrh Volume of a cylinder = πr 2 h You need to know the radius and height to figure both the volume and surface area of a cylinder. Answers for volume problems should always be in cubic units. Answers for surface area problems should always be in square units.

Exercises 1-6 sketch the convex set formed by the intersections of the half-space determined by the given inequalities. Also indicate whether the convex set is bounded x+y <5 2x +Y < 8 X2 0, y 2 0 I-><-2 2*-> < 0 3x +> < 6 X20, > 2 0

Answers

The given equations sketch out to form a convex set. Both sets are bounded.

1)

Here we see that the darkened area is the intersection region. Since the system is bounded by x ≥ 0 and y ≥ 0, we can say that this is a bounded region.

Then we see that in the bouned region, whatever two points we take, the line segment joining them, it will always lie in the convex space. Hence this is a convex set.

2)

Here we see that the darkened region in the first Quadrant will be the intersection space. Since x and y are greater than or equal to 0, we get a bounded region. Hence the solution is bounded.

Hence here we see any 2 points in the space will result in a line segment lying in the space. Hence this is a convex set.

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Exercises 1-6 sketch the convex set formed by the intersections of the half-space determined by the given
Exercises 1-6 sketch the convex set formed by the intersections of the half-space determined by the given

A certain type of kickboard scooter comes in silver, red, 2
or purple with wheel sizes of 125 millimeters or 180
millimeters. Determine the total number of color-wheel size combinations.

(This is probability and I’m having such a hell of a time figuring it out pls help)

Answers

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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Put Recibir in the Present Tense:Cecilia (recibir) un regalo de sus padres. 1) Imagine that you were going to record a podcast that consisted of yourself as the host along with five guests who would form a panel to talk about college admissions. Where would you want to record, and how would you set up your space, including the microphone? which melt process would most likely account for most of the melting in the case of a rifting continental crust? What is the name of the subsidiary channels that join up with the main river channel?. Use your calculator to work out17.5? 106(7.2 + 1.092Write down all the figures on your calculator display. 5) Tengo que reclamar el equipaje. DOP ( direct object pronouns) What is the difference between an internal control's design effectiveness and its operating effectiveness Show transcribed dataQuestion 3 (40 marks) Stephanie Limited is considering a $20 million ($20,000,000) investment project to support the launch of a new product. Total project economic life is estimated to be five years. The company spent $1 million on marketing research to investigate customers' attitude towards the new product and $2 million removing current production facilities so that Stephanie Ltd can move in the new production facilities for the launch of the new product. The marketing department estimates that 62,000 units will be sold at the end of the first year. Sales units start to grow after the end of the first year of the launch at 15% per year for the next two years until end of the third year and then will remain constant until the end of project economic life as the market matures. The unit selling price is $250 and remains constant. A total of $500,000 cash from total sales at the end of the fifth year will be collected at the end of the sixth year. Total annual variable cost will be 60% of the total sales (revenues). Total annual fixed cost will be $600,000 including $200,000 of allocated cost from headquarter to support this project. The fixed cost does not include the depreciation of the initial investment. $20 million of initial investment can be depreciated using straight-line method for both accounting and tax purposes with $100,000 of salvage value (residual value). The useful life is 5 years. The initial investment will be sold at the end of the investment period for $1,000,000 cash, before tax. Tax rate is 17%. Tax savings from depreciation and allocated cost from headquarter can only be claimed one year later. Tax expense must be paid in the year when it occurs. Cost of capital (required rate of return) of the project is 10%. Cash flow is assumed to take place at the end of each year. Present value tables are provided in the next page if you want to use it. Required: (a) 35 marks Calculate net present value of the project. Should Stephanie Limited take the project on the basis of net present value? (b) Calculate the payback period. 5 marks A population that is becoming less diverse because of its individuals tending to be larger is most likely experiencing selection. Arizona formed when it split from Y'all know how to draw because I'm a bit good at it it's just that I don't know how to draw that well. can somebody help me. if you can thanks..& I'll follow you for your help I have to describe the angles and the sides of the triangle I don't have a clue Find AC.B7x-66x +4 The bid-ask quotation of British pound is $1.19211.1929. Calculate the percent spread of British Pound in % (show two decimals). The bid-ask quotation of Swiss Franc is $1.01101.0119. Calculate the percent spread of Swiss Franc in \% (show two decimals). Based on the above result, which one of the two currencies is more riskv or volatile? The bid-ask quotation of British pound is $1.19211.1929. The forward points of British Pound is 2420. Is British Pound is in forward premium or discount? Based the forward points, compute the outright forward quotation (bid - ask) of British Pound in $ (show four decimals). Fill the answers in Bid - Ask order. Based on the forward rate (bid-ask) of British Pound you just calculated, compute the percent spread (in \%) of the forward rate of British Pound (show two decimals). ask quotation of Swiss Franc is $1.01101.0119. The forward points of Swiss Franc is 10-15. Is Swiss Franc is in forward nremium or discount? Based the forward points, compute the outright forward quotation (bid - ask) of Swiss Franc in \$ (show four decimals). Fill the answers in Bid - Ask order. Based on the forward rate (bid-ask) of Swiss rranc you just calculated, compute the percent spread (in \%) of the forward rate of Swiss Franc (show two decimals). What is the cause of the inner core and outer core being in different states of matter?. What is 0.24as a fraction in simplest form? the standard hydrogen peroxide volume used with permanent haircolor is the actions of humans are having negative impacts on the environment at a global scale. of the options listed, which impact is an exception to this trend? What was the first president name BRAINLIEST TO CORRECT ANSWER!!!! PLEASE HELP!!! Which option best completes the diagram?A. African American control of local governments B. Violent opposition to unfair draft policies C. High public morale throughout the war. D. Drastic decrease in the overall population