The local theatre production company sells advance tickets (a) for $16 per seat. On the night of the performance, tickets (t) are sold for $22 each. If the company sold 648 tickets for at total of $11,826, write an equation that expresses the total income from ticket sales.

Answers

Answer 1

Answer:

16a + 22t = 11826

Step-by-step explanation:

Cost of 1 (a) ticket = $16

Cost of 1 (t) ticket = $22

Total tickets sold = 648

Cost of 648 tickets = $11826

So eqn will be => 16a + 22t = 11826


Related Questions

Please can someone help me ASAP

Answers

a) [tex]\frac{8}{2}[/tex]

b) [tex]\frac{9}{4}[/tex]

c) [tex]\frac{3}{-1}[/tex]

A tomato is cut into 8 slices. If each slice contains 0.12 grams of fiber, how can rounding be used to estimate the amount of fiber in the entire tomato?

Answers

Answer:

The amount of fiber in the entire tomato is approximately 1 g

Step-by-step explanation:

A tomato is cut into 8 slices.

1 slice contains 012 g of fiber

8 slices will contain;

[tex]\frac{8 * 0.12}{1}[/tex] g = 0.96g which equals to 1 g when rounded up nearest  gram.

So the amount of fiber in the entire tomato is 0.96g ≈ 1g

Plz plz please answer it fast urgent

Answers

Answer - 1) -6/3

2)3/20

3)3/4

Hope this may helps you

Answer:

A.-2

B.its 3/20=0.15

C.3/4=0.75

Please answer this in two minutes

Answers

Answer:

[tex] csc (R) = \frac{13}{12} [/tex]

Step-by-step explanation:

Formula for any given angle (Ѳ) is given as csc Ѳ = length of hypotenuse side//length of opposite side. It is the inverse of sin Ѳ.

In the right triangle given above, the opposite length = 24, while the length of the hypotenuse = 26

Thus,

[tex] csc (R) = \frac{hypotenuse}{opposite} [/tex]

[tex] csc (R) = \frac{26}{24} [/tex]

[tex] csc (R) = \frac{26}{24} [/tex]

[tex] csc (R) = \frac{13}{12} [/tex]

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

  2.86 seconds

Step-by-step explanation:

A graphing calculator shows the ball hits the ground at t = 2.86 seconds.

_____

You can use the quadratic formula with a=-16, b=45, c=2:

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-45\pm\sqrt{45^2-4(-16)(2)}}{2(-16)}=\dfrac{45\pm\sqrt{2153}}{32}\approx\{-0.0438,2.8563\}[/tex]

The ball is in the air for about 2.86 seconds.

Please help Asap, will give brainiest only if answer correctly with a good explanation

Answers

Answer:

D, or the last option.

Step-by-step explanation:

See how the rotation does not say whether it is Clockwise or Counterclockwise?

Now, what that means, is that it will, default, be CCW. I don't know why, but math teachers are like that.

Now, 80* and 10* add up to 90* (because they are both unmarked and going to the same direction).

So, 90* rotation CCW. Simple! Thus, the last option should be correct.

Hope this helps!

P.S. Stay Safe!

Jack deposited 200$ in his savings account in 1$ and 5$ bills. If he deposited 136 bills, how many 5$ bills did he deposit?

Answers

Answer:

He deposited 16 $5 bills.

Step-by-step explanation:

State your variables

let x be the number of $1 bills

let y be the number of $5 bills

Create a system of equations

x + 5y = 200       (eq'n 1 -- for amount of money)

x + y = 136           (eq'n 2 -- for number of bills)

Solve the system for y

I will solve using substitution.  Rearrange eq'n 2 to isolate variable x.

x + y = 136

x = 136 - y           (eq'n 3)

Substitute eq'n 3 into eq'n 1.

x + 5y = 200

136 - y + 5y = 200

136 + 4y = 200

4y = 64

y = 16

Solve for x to check answer

Substitute y = 16 into eq'n 2.

x + y = 136

x + 16 = 136

x = 120

Substitute x = 120 into eq'n 1.

x + 5y = 200

120 + 5(16) = 200

120 + 80 = 200

200 = 200

LS = RS          Both sides are equal, so the solution is correct.

Therefore, Jack deposited 16 five dollar bills.

At a birthday party, each child is given some chocolates. There are five 5-year-olds, five 6-year-olds and five 7-year-olds at the party. If each child receives three times as many chocolates as their age in years, how many chocolates are given out altogether?

Answers

Answer: 270 chocolates

Step-by-step explanation:

Given the following :

Number of 5-year Olds = 5

Number of 6-year Olds = 5

Number of 7-year Olds = 5

Number of chocolates received by each child = 3 times as many chocolate as their age.

Number of chocolates received by 5-year Olds = 3 × 5 = 15 chocolates

Number of chocolates received by 6-year Olds = 3 × 6 = 18 chocolates

Number of chocolates received by 7-year Olds = 3 × 7 = 21 chocolates

Total Number of chocolates received by 5-year Olds = 5 * 15 = 75 chocolates

Total Number of chocolates received by 6-year Olds = 5 * 18 = 90 chocolates

Total Number of chocolates received by 7-year Olds = 5 * 21 = 105 chocolates

Totak number of chocolates altogether :

(75 + 90 + 105) = 270 chocolates

numa prova de múltipla escolha com 30 questões, o aluno ganha 3 pontos por cada questão que acerta, mas perde 2 pontos por cada questão que erra. Marcelo resolveu todas as questões dessa prova e conseguiu 50 pontos. Quantas questões ele acertou?

Answers

Answer:

Marcelo acertou 22 questões.

Step-by-step explanation:

Vamos representar

Questões que acerta = a

Questões que erra = b

a + b = 30 .......... Equação 1

a = 30 - b

o aluno ganha 3 pontos por cada questão que realizar, mas perde 2 pontos por cada questão que ocorrerá.

Matematicamente:

3 × a - 2 × b = 50

3a - 2b = 50 pontos ............. Equação 2

Substitua 30 - b por a na Equação 2

3 (30 - b) - 2b = 50

90 - 3b - 2b = 50

90 - 5b = 50

Colete termos semelhantes

90 - 50 = 5b

5b = 40

b = 40/5

b = 8

Questões que erra = b

Marcelo, portanto, perdeu 8 questões.

Dizem-nos que ele respondeu todas as 30 questões. Portanto, se ele perdeu 8 questões, o número de questões acertadas é representado pela Equação 1

a + b = 30 .......... Equação 1

a + 8 = 30

a = 30 - 8

a = 22 questões.

Portanto, ele acertou 22 questões.

. What is half the next number in the pattern 1, 3, 9, 27, 81
A. 234
B. 67
D c. 468
0 0.76​

Answers

Answer:

A. 243

Step-by-step explanation:

just multiply the next number by 3

81*3= 243

Answer:

[tex]\boxed{243}[/tex]

Step-by-step explanation:

The ratio can be found by dividing a term in the sequence by the previous term.

[tex]\frac{27}{9} =3[/tex]

Each term gets multiplied by 3 to get the next term.

[tex]81 \times 3 = 243[/tex]

Lines e and f are parallel. The mAngle9 = 80° and mAngle5 = 55°.

Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Where lines e and c intersect, the angles are: 1, 2, 4, 3. Where lines f and c intersect, the angles are 5, 6, 8, 7. Where lines e and d intersect, the angles are 9, 10, 12, 11. Where lines f and d intersect, the angles are 13, 14, 16, 15.
Which angle measures are correct? Select three options.

Answers

Answer:

Fist if all u will draw ur Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Secondly u will draw ur Parallel lines or angle.

Answer:

a c e

Step-by-step explanation:

The canvas of a painting has an area of 64 ft2. What length of frame is needed for the border of the painting?

Answers

Answer:

8

Step-by-step explanation:

Assuming, the canvas has the shape of a square. By the square area formula we can derive its side:

[tex]S=l^{2}\\64=l^{2}\\l=\sqrt{64}\\ l=8\: ft[/tex]

Then Each side of the painting measures 8 feet, the length of frame must have 8 feet long, and the width is decided by the framer.

Answer:

The answer is C: 32 ft

Step-by-step explanation:

If you take the square root of the area of 64 ft ^2, you get 8. then it asks what is the length needed for the frame as in the entire frame. So you just have to multiply 8 by 4 which is the number of sides. Also, I got this right on the edg quiz.

A bicycle is on sale price for $300 it can be brought through a hire purchase with a deposit of $60 and 10%
interest the outstanding balance, to prepaid in 10 monthly installments calculate:
a)the amount of each monthly instalment
b)the total cost of buying the bicycle by hire purchase

Answers

Answer:

a) $26.4

b) $324

Step-by-step explanation:

Hire purchase is the purchase of an item which can be paid instalmentally.

The bicycle costs $300 for an instant purchase.

For a hire purchase, a $60 deposit must be made and the rest paid instalmentally over 10 months. An interest of 10% is included in the outstanding balance

The outstanding balance after paying deposit= $300 - $60 = $240

Hence, 10% of 240 = 10/100 × 240 = 24

An interest of $24 is added.

Therefore, a total of $240 + $24 = $264 will be paid for the next 10 months.

a) Hence, the amount to be paid in instalment each month is $264/10 = $26.4

b) the total cost of buying the bicycle by hire purchase= deposit amount + instalment price

= $60 + $264

= $324

Hence, a total of $324 will be paid for the bicycle by hire purchase.

N.B: $300 is the sale price + $24 interest

How many times does the graph of the function below intersect touch the x-axis? y= -3x^2 + x + 4

Answers

Answer:

2 times

Step-by-step explanation:

Well let's first graph the quadratic equation,

Look at the image below ↓

By looking at the image below we can tell that the graph touches the x axis 2 times at,

(-1,0)

(1 1/3,0)

Thus,

the parabola touches the x axis twice.

Hope this helps :)

Answer:

3

Step-by-step explanation:

Which best explains why the orthocenter of an obtuse triangle is outside the triangle?

Answers

Answer: All three of the altitudes lie entirely outside the triangle.

Step-by-step explanation:

The orthocenter is the center of the triangle formed by creating all the altitudes of each side.  

The altitude of a triangle is formed by creating a line from each vertex that is perpendicular to the opposite side.  

In acute traingle , the orthocenter lies inside it.

In right angled triangle, the orthocenter lies on the triangle.

In obtuse triangle , the orthocenter lies outside the triangle because all the three altitudes meet outside .

So, the best explains why the orthocenter of an obtuse triangle is outside the triangle : All three of the altitudes lie entirely outside the triangle.

Answer: It’s A on edge

Pls answer the 9th question...plsss fast

Answers

Answer:

i) x = 65°       ii)  x = 60°     iii)  x = 34°

  y = 50°           y = 80°           y = 124°

Step-by-step explanation:

i) x = 180-115= 65°

  y = 65+65= 130

     =  180-130= 50°  

ii) x = 90+30= 120

         180-120= 60°

   y = 60+20= 80

         180-80 = 100

         180-100= 80°

iii) y = 34+90= 124

    x = 180-124= 56

           56+90= 146

           180-146= 34°

I hope this helped, mark me brainliest please :)

A Pythagorean spiral is constructed by drawing right triangles on the hypotenuse of the other right triangles. Start with a right triangle in which each leg is 1 unit long. Use the hypotenuse of that triangle as one leg of a new triangle and draw the other leg 1 unit long. A spiral has been started below, continue the pattern until a spiral with 12 triangles is formed. 1. Determine the Tangent of the angle at the centre of the spiral for each of the first five triangles. 2. Use this pattern to predict the tangent of the 100th triangle.

Answers

Answer:

The angle is determined by dividing 360 by the number of vertexes that it took to complete the circle. The tangent of the 100th triangle would be the same respectively.

Step-by-step explanation:

I remember learning this in kindergarten.

Kala's final exam has true/false questions, worth 3 points each, and multiple choice questions, worth 4 points each. Let x be the number of true/false questions she gets correct, and let y be the number of multiple choice questions she gets correct. She needs at least 82 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.

Answers

Answer:

3x + 4y ≥ 82

Step-by-step explanation:

3x + 4y ≥ 82

we can read as: 3 time of right answers of true/false plus 4 times of right answers of multiple choice must be bigger or at least 82

If f(x)=k (square root)2+x, and f^-^1 (-15)=7, what is the value of k

Answers

There's a bit of ambiguity in your question...

We know that [tex]f^{-1}(-15)=7[/tex], which means [tex]f(7)=-15[/tex].

I see three possible interpretations:

• If [tex]f(x)=k\sqrt2+x[/tex], then

[tex]f(7)=-15=k\sqrt2+7\implies k\sqrt2=-22\implies k=-\dfrac{22}{\sqrt2}=11\sqrt2[/tex]

• If [tex]f(x)=k\sqrt{2+x}[/tex], then

[tex]f(7)=-15=k\sqrt{2+7}\implies -15=3k\implies k=-5[/tex]

• If [tex]f(x)=\sqrt[k]{2+x}[/tex], then

[tex]f(7)=-15=\sqrt[k]{2+7}\implies-15=9^{1/k}\implies\dfrac1k=\log_9(-15)[/tex]

which has no real-valued solution.

I suspect the second interpretation is what you meant to write.

If f(x) =27, then x=?

Answers

Answer:

x=1

Step-by-step explanation:

f(x)=27

y=27(x)

x=1

y=27

Which equation models this situation?
The sum of 24 and a number is 40.
2 of 12 QUESTIONS
24- x = 40
24+ 40 = x
40 + x = 24
24+ x = 40
SUBMIT
Add​

Answers

Answer:

24+x=40

Hope this helped

Answer:

hes right look up there

Step-by-step explanation:

hes right :) only for a p e x

What is the solution to the system of equations?
2/3x - 1/3y = -2
-2x + y = -6

There is no solution.
There are infinitely many solutions.
There is only one solution, (2, –2).
There is only one solution, (–2, –10).

Answers

Answer:

There is no solution.

Rewrite -2x + y = -6 so it starts with y =...

y = 2x - 6

Substitute that in 2/3x - 1/3y = -2 gives:

2/3x - 1/3*(2x -6) = -2

2/3x - 2/3x + 2 = -2

0 + 2 = -2

This statement is not true, and that means there is no solution.

solve the equation using square root 5x2-9=6

Answers

Answer:

Is this what you are looking for....

Answer:

x=±√3 or ±1.732

Step-by-step explanation:

5x²-9=6

5x²=6+9

5x²=15

x=±√15/5

x=±√3

What is the measure of angle x?
10
20
30
40

Answers

Answer:

20

Step-by-step explanation:

Since 30 and 3x are complementary we can write:

30 + 3x = 90

3x = 60 so x = 20°.

Answer:

20

Step-by-step explanation:

30 + 3x = 90

=> 3x = 90 - 30

=> 3x = 60

=> x = 60/3

=> x = 20

pls mark me as brainleist :)

a girl spent 2/3 of her pocket money and was left with $1800.00 . How much was her pocket money

Answers

Answer: She had $5400

Step-by-step explanation:

We will let x represent the total amount of money in her pocket .

So we know that 1/3 of x has to equal 1800 because 2/3 of the money is already been spent so 1/3 will of the money will be left.

1/3 * x = 1800  solve for x by divide both sides by 2/3

x=5400  

Check.

1/3 * 5400 =1800

Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. The following functions represent the rate structures of the two rental companies: x = the number of weeks Company A f(x) = 15(7x) Company B g(x) = 100x + 5 The function h(x) = f(x) – g(x) represents the difference between the two rate structures. Determine which statements about h(x) and about renting a carpet cleaner are true. Check all that apply. h(x) = 5x – 5 h(x) = 5x + 5

Answers

Answer:

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

If Marguerite rents for 1 week, it will cost her the same at either company

h(x) = 5x - 5

Step-by-step explanation:

Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. The following functions represent the rate structures of the two rental companies: x = the number of weeks Company A f(x) = 15(7x) Company B g(x) = 100x + 5 The function h(x) = f(x) – g(x) represents the difference between the two rate structures. Determine which statements about h(x) and about renting a carpet cleaner are true. Check all that apply. If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B. If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B. If Marguerite rents for 1 week, it will cost her the same at either company. If Marguerite rents for 1 week, it will cost her more if she rents from Company A. h(x) = 5x – 5 h(x) = 5x + 5

Answer: Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. In one week there are 7 days, therefore in x weeks the cost of rentals are given below:

For company A: f(x) = 15(7x)

For company B: g(x) = 100x + 5  

h(x) = f(x) – g(x) represents the difference between the two rate structures.

h(x) = f(x) - g(x) = 15(7x) - (100x + 5)

h(x) = 105x - 100x - 5

h(x) = 5x - 5

If Marguerite rents for 2 weeks:

The cost for company A = 15(7x) = 15(7 × 2) = $210

The cost for company B = 100x + 5 = 100(2) + 5 = 200 + 5 = $205

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

If Marguerite rents for 1 weeks:

The cost for company A = 15(7x) = 15(7 × 1) = $105

The cost for company B = 100x + 5 = 100(1) + 5 = 100 + 5 = $105

If Marguerite rents for 1 week, it will cost her the same at either company

Answer:

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.

h(x) = 5x + 5

those are the answers on edge

Step-by-step explanation:

An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)? WILL MARK BRAINLIEST

Answers

Answer:

The shortest path to take is [tex]20\sqrt{3}\ cm[/tex] or [tex]34.64\ cm[/tex]

Step-by-step explanation:

This question requires an attachment (See attachment 1 for question)

Given

Cube Dimension: 20cm * 20cm

Required

Shortest path from A to B

For proper explanation, I'll support my answer with an additional attachment (See attachment 2)

The shortest path from A to B is Line labeled 2

But first, the length of line labeled 1 has to be calculated;

This is done as follows;

Since, the cube is 20 cm by 20 cm

[tex]Line1^2 = 20^2 + 20^2[/tex] (Pythagoras Theorem)

[tex]Line1^2 = 2(20^2)[/tex]

Take square root of both sides

[tex]Line1 = \sqrt{2(20)^2}[/tex]

Split square root

[tex]Line1 = \sqrt{2} * \sqrt{20^2}[/tex]

[tex]Line1 = \sqrt{2} * 20[/tex]

[tex]Line1 = 20\sqrt{20}[/tex]

Next is to calculate the length of Line labeled 2

[tex]Line2^2 = Line1^2 + 20^2[/tex] (Pythagoras Theorem)

Substitute [tex]Line1 = 20\sqrt{20}[/tex]

[tex]Line2^2 = (20\sqrt{2})^2 + 20^2[/tex]

Expand the expression

[tex]Line2^2 = (20\sqrt{2})*(20\sqrt{2}) + 20 * 20[/tex]

[tex]Line2^2 = 400*2 + 400[/tex]

Factorize

[tex]Line2^2 = 400(2+1)[/tex]

[tex]Line2^2 = 400(3)[/tex]

Take square root of both sides

[tex]Line2 = \sqrt{400(3)}[/tex]

Split square root

[tex]Line2 = \sqrt{400} * \sqrt{3}[/tex]

[tex]Line2 = 20 * \sqrt{3}[/tex]

[tex]Line2 = 20 \sqrt{3}[/tex]

The answer can be left in this form of solve further as follows;

[tex]Line2 = 20 * 1.73205080757[/tex]

[tex]Line2 = 34.6410161514[/tex]

[tex]Line2 = 34.64 cm[/tex] (Approximated)

Hence, the shortest path to take is [tex]20\sqrt{3}\ cm[/tex] or [tex]34.64\ cm[/tex]

Answer:

44.72 cm

Step-by-step explanation:

1. This was marked correct by RSM

2. Unfold the cube, so that points A and B and on points diagonal from each other on a 40 cm x 20 cm rectangle. Now draw a line connecting points A to B. That is the hypotenuse of both triangles. Now according to the pythagorean theorem, the hypotenuse is √2000, which is equal to 5√20.

3. The answer is 44.72 cm

Of the books in the Hogwarts Library, 1/4 came from Hermione and 8 came from Luna. Of the rest, 14 were Ron’s, 1/2 were Ginny’s. How many books are there in the library?

Will mark brainlist

Answers

Answer:

88

Step-by-step explanation:

The key to this question is combining the two fractional pieces we know about. Namely, Hermione has 1/4 of the books and Ginny has 1/2 of them. This means that between the two of them, they account for 3/4 of the library.

So what does that mean? Well, it means that the books Ron and Hermione have (22 in total) account for the remaining 1/4 of the library. So then the whole library is [tex]4*22=88[/tex].

What is the name of the method for drawing a trend line for the data in a scatterplot in which an oval is drawn around all the points in the scatterplot except the outliers?


a.the oval method

b.the divide-center method

c.the area method

d.the regression calculator method


ty if you answer! :3

Answers

Answer:

c.the area method

Step-by-step explanation:

A scatterplot is a plotting of data that represents the relationship between the two variables that should be numerical in nature. The data points i.e to be shown in a horizontal and vertical axis represent that how much one variable affected by another variable.

In the area method, we plot a data and then draw a shape which can be in oval but it does not include the outliers but the other methods like oval method, divide center method, regression calculator includes the outliers

Therefore the option c is correct

Answer:

c.the area method

Step-by-step explanation:

c.the area method c.the area method c.the area method c.the area methodc.the area methodc.the area methodc.the area method c.the area method c.the area method c.the area method   c.the area method  c.the area method

Resolve into factors.

a)x4-5x2y2+4y4

Answers

Answer:

(x - y)(x + y)(x - 2y)(x + 2y)

Step-by-step explanation:

Given

[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]

Consider the factors of the coefficient of the [tex]y^{4}[/tex] term (+ 4) which sum to give the coefficient of the x²y² term (+ 5)

The factors are - 1 and - 4 , thus

[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]

= (x² - y²)(x² - 4y²)

Both of these factors are differences of squares which factor in general as

a² - b² = (a - b)(a + b) , so

x² - y² = (x - y)(x + y)

x² - 4y²

= x² - (2y)² = (x - 2y)(x + 2y)

Hence

[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]

= (x - y)(x + y)(x - 2y)(x + 2y) ← in factor form

Other Questions
HELP ASAP!!! Alex bought a notebook containing 96 pages, and numbered them from 1 through 192. Bob tore out 25 pages of Alexs notebook, and added the 50 numbers he found on the pages. Could Bob have gotten 2012 as the sum? Show your logic steps on how you draw your conclusion. A group of students were asked to choose their favorite course. The results are shown in the two-way frequency table. Which of the following can be concluded from the joint and marginal frequencies of the table? Math is the most popular subject in the 10th grade. History is the least popular subject in the 9th grade. Science is more popular than math among 12th grade students. Students in the 11th grade like English more than students in the 12th grade. The overall favorite course is history. A.) III and IV only B.) II and V only C.) I, III, and V D.) II and IV only A firm currently sells $1,750,000 annually of an expensive product line. That firm is considering a similar, less expensive, discount line, and projects sales of $380,000. The discount line is expected to reduce sales of the expensive product line to $1,575,000. What is the incremental revenue associated with the discount product line? Determine whether each red path in the vector field is positive, negative, or zero A molecule of chlorine has atoms of the same element, and a molecule of carbon dioxide has different kinds of atoms. Based on this information, chlorine is and carbon dioxide is . A cylinder has a volume of 675.1 cubic centimeters. The diameter of the cylinder is 10 cm. What is the height of the cylinder? (Assume = 3.14) please help with q 3, 4, 5 thnx! What parts of a character do digital artists create? The market has an expected rate of return of 11.4 percent. The current nominal expected yield on U.S. Treasury bills is 4.3 percent. The inflation rate is 2.2 percent. What is the market risk premium? (round answer to whole number with two decimal points: i.e., use 1.23 percent instead of 0.0123) One variable in a study measures how many serious motor vehicle accidents a subject has had in the past year. Explain why the mean would likely be more useful than the median for summarizing the responses of the 60 subjects. A customer opens a long margin account with only 1 position, consisting of 100 shares of ABC stock valued at $20 per share. There is no debit balance in the account. If the customer buys 100 shares of XYZ at $60 per share, the margin call will be In Appellia, it takes 10 units of resources to increase its output of sugar from 12 tons to 13 tons, but 11 units of resources to increase output from 13 tons to 14 tons, and 12 units of resources to increase output from 14 tons and 15 tons, and so on. The need for increasing resources is an example of Find the correct algebraic representation of the rotation shown below.a. (y, -x)b. (-x, -y)c. (-y, x)d. (y, x) A millionairess was told in 1992 that she had exactly 15 years to live. However, if she immediately takes off, travels away from the Earth at 0.8 c and then returns at the same speed, the last New Year's Day the doctors expect her to celebrate is: You are providing supervision to a BCBA candidate accruing fieldwork hours. Prior to beginning supervision, you meet with the candidate and provide them with a clear written description of the purpose, requirements, evaluation criteria, and terms of the supervision. You might have violated: Given that the mass of the Earth is 5.972 * 10^24 kg and the radius of the Earth is6.371 * 10^6 m and the gravitational acceleration at the surface of the Earth is 9.81m/s^2 what is the gravitational acceleration at the surface of an alien planet with2.4 times the mass of the Earth and 1.9 times the radius of the Earth?Although you do not necessarily need it the universal gravitational constant is G =6.674 * 10^(-11) N*m^2/kg^29 Your accountant tells you that if you can continue to earn the current interest rate on your balance of $750 for the next three years, you will have $944.78 in your account. If your accountant is correct, then what is the current interest rate Balance the followingNa+02- Na20Al+O2 ->Al2O3H2+12+ ->HIMg+H2O Mg(OH)2+H2Ca+O2 -> Cao A massless, rigid board is placed across two bathroom scales that are separated by a distance of 1.89 m. A person lies on the board. The scale under his head reads 470 N, and the scale under his feet reads 334 N. (a) Find the weight of the person. (b) Locate the center of gravity of the person relative to the scale beneath his head. Steve goes to Tri-State University and pays $40,000 in tuition. Steve works a part-time job to pay for his schooling and has an AGI of $17,000. How much is his American Opportunity Credit? Group of answer choices