Robert wants to buy a digital piano at a yard sale.

Answers

Answer 1
Good for Robert I hope he can get his digital piano

Related Questions

please provide reasoning. thank you
e You have solved a rectilinear MiniMax problem using the simplified solution based on the four constraints of the quadrilateral for the LP based algorithm. The following results of your C₁-C5 formu

Answers

The simplified solution based on the four constraints of the quadrilateral was used to solve a rectilinear MiniMax problem, resulting in the C₁-C₅ formula.

To solve the rectilinear MiniMax problem using the simplified solution based on the four constraints of the quadrilateral, the following steps were taken:

Formulation of the problem: The rectilinear MiniMax problem involves optimizing a function subject to certain constraints. In this case, we are looking for the minimum or maximum value of a function given the constraints of a quadrilateral.

Identification of the constraints: The four constraints of the quadrilateral are identified. These constraints may involve linear equations representing the sides or diagonals of the quadrilateral.

Formulation as a linear programming (LP) problem: The rectilinear MiniMax problem is transformed into an LP problem by defining an objective function and expressing the constraints as linear inequalities.

Objective function: The objective function is defined based on whether we are looking for the minimum or maximum value. This function represents the quantity to be optimized.

Linear inequalities: The constraints of the quadrilateral are expressed as linear inequalities. These inequalities define the feasible region of the LP problem.

LP-based algorithm: The LP-based algorithm is applied to solve the problem. This algorithm involves finding the optimal solution within the feasible region defined by the linear inequalities.

Solution: The LP-based algorithm provides a solution that minimizes or maximizes the objective function, depending on the problem's requirements. In this case, the solution is represented by the C₁-C₅ formula.

Overall, the rectilinear MiniMax problem was successfully solved using the simplified solution based on the four constraints of the quadrilateral, resulting in the C₁-C₅ formula as the solution.

For more questions like Quadrilateral click the link below:

https://brainly.com/question/29934291

#SPJ11

11) A cube shaped box is filled with 8 in' of packing peanuts. There is 56 in' of space left in
the box. What is the side length of the cube-shaped box?
I

Answers

The box of Cube-shaped was designed to also be carried easily in a cube with such a handle mounted on top. These boxes have durability, uniqueness, and cost-effectiveness, being available in various shapes and sizes.

Given:

Filled cube-shaped box \(\bold{= 8 \ in^3}\)

Left space of a box\(\bold{= 56\ in^3}\)

To find:

the side-length of the cube-shaped box=?

Solution:

\(\to \text{side-length of the cube-shaped box=Filled cube-shaped box + Left space of a box}\)\(\to 56+8= 64= \sqrt[3]{64}= 4^3\\\\\)

\(\to V= a^3\\\\\to V= 4 \ in\)

Learn more:

brainly.com/question/1182379

1/5 de los animales en el zoológico son monos 5/7 de los monos son machos
¿Qué fracción de los animales en el zoológico son monos machos?

Answers

1/7 of the animals in the zoo are male monkeys.

What fraction of the animals in the zoo are male monkeys? Explain with workings.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

Read more about fraction

brainly.com/question/17220365

#SPJ1

Identify the correct graph of the system of equations. 3x − y = 12 x + 4y = 4 The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 12. The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12. The graph shows a line with an x--intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 12. The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

Answers

The correct graph of the system of equations is D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

What is the system of equations?

A system of equations is a set of two or more equations with the same variables. The goal of a system of equations is to find the values of the variables that simultaneously satisfy all the equations in the system.

The given equations are

3x + y = 12

x + 4y = 4

To graph the system of equations, we can start by finding the x-intercepts and y-intercepts of each line.

The x-intercept is the point where the line crosses the x-axis, which means that the y-value is 0. To find the x-intercept, we can set y = 0 and solve for x:

3x + y = 12

3x + 0 = 12

3x = 12

x = 4

So, the x-intercept of the first line is (4, 0).

Next, we can find the y-intercept, which is the point where the line crosses the y-axis, meaning that the x-value is 0. To find the y-intercept, we can set x = 0 and solve for y:

3x + y = 12

0 + y = 12

y = 12

So, the y-intercept of the first line is (0, 12).

We can repeat this process for the second line to find its x-intercept and y-intercept:

x + 4y = 4

x + 4 * 0 = 4

x = 4

So, the x-intercept of the second line is (4, 0).

Next, we can find the y-intercept by setting x = 0:

x + 4y = 4

0 + 4y = 4

4y = 4

y = 1

So, the y-intercept of the second line is (0, 1).

Now that we have found the x-intercepts and y-intercepts of each line, we can plot these points on a coordinate plane and draw lines through them to obtain the graph of the system of equations.

The graph shows a line with an x-intercept at (4, 0) and a y-intercept at (0, 12). There is a second line with an x-intercept at (4, 0) and a y-intercept at (0, 1).

Therefore, the correct graph of the system of equations is D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

To learn more about the system of equations, visit:

https://brainly.com/question/13729904

#SPJ1

How would you describe the shape of the normal distribution?

Answers

The shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

What is a normal distribution?

A normal distribution is a function on some random variables, which represent the set of all those random variables in a symmetrical bell shape about the mean value.

It shows that the probability of occurrence of some data which is distributed over a function is more at or around the mean.

It is also known as probability distribution curve.

The normal distribution has two parameters:

MeanStandard deviation

What is the shape of the normal distribution?

The normal distribution curve is at it's peak at the mean value. This shows that the probability of occurrence of the data or value is more concentrated or distributed about the mean. It is also symmetric about the mean. As we more further from the mean, we see that the normal distribution curve gradually decreases showing that the probability of occurrence of the data or the values decreases. The shape that this curve forms is like a bell-shaped. So the shape of normal distribution is bell shape.

Hence, the shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

Know more about "normal distribution" here: https://brainly.com/question/15103234

#SPJ4

How would you describe the shape of the normal distribution?

What kind of triangles does the Pythagorean theorem work for?
O A. Right
OB. Acute
O C. Obtuse
O D. All triangles

What kind of triangles does the Pythagorean theorem work for?O A. RightOB. AcuteO C. ObtuseO D. All triangles

Answers

Answer:

A. Right angle traingle Is the answer

A. Right

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse. The hypotenuse is the side of a triangle across from a right angle, so the Pythagorean theorem works for right triangles.

15. In a random sample of 40 students, 25 students preferred chocolate to
vanilla. If there are 120 student in the school, how many like chocolate

Answers

25/40 = x/120
solve for x you get 75

Good day dear friends today I shall need your help,
What statement makes the open sentence 12 + 3x = 30 true?
Show all work.
A. X = 3
B. X = 5
C. X = 11
D. X = 15

Answers

Answer:

I got an answer of six (6) sadly

12+3x=30

3x=30-12

3x = 18

---- ---- ...divide both sides by 3

3 3

.°. x=6

At a certain university, students who live in the dormitories eat at a common dining hall. Recently, some students have been complaining about the quality of the food served there. The dining hall manager decided to do a survey to estimate the proportion of students living in the dormitories who think that the quality of the food should be improved. One evening, the manager asked the first 100 students entering the dining hall to answer the following question. Many students believe that the food served in the diniog tall necds improvement. Do you think that the quality of food served here needs improvement, even though that would increase the cost of the meal plant? a. In this setting, explain how bias may have been introduced based on the way this convenience sample was selected and suggest how the sample could have been selected differently to avoid that bias. b. In this setting, explain how bias may have been introduced based on the way the question was worded and suggest how it could have been worded differently to avoid that bias.

Answers

Based on the provided information, a) bias is introduced through convenience sampling there could be specific variable associated with the first hundred students. It can be avoided by simple random sampling. b) bias is introduced through wording as it includes a negative consequence. It can be avoided by just asking for an opinion without any associated reasoning or consequences.

Bias refers to a deviation of feedback which is based on certain influences by the surveyor and respondent. Sampling bias or selection bias refers to a type of bias in which a researcher gathers a sample of respondents for a questionnaire that does not accurately represent the population. Survey bias refers to the way the question is phrased or formatted, leading people to choose a certain answer instead of another. In the given case,

a) A bias may have been introduced based on the way the convenience sample was selected as there could be specific variable associated with each of the first hundred students that walk into the dining room. The first hundred students could possibly like the food and that is the reason why they come early to the dining room. Selecting students at the dining room may also exclude the students who dislike the food and choose to eat elsewhere. A simple random sample can help avoid this bias. By randomly selecting students at the university campus would provide a more inclusive and true representation of the population.

b) A bias may have been introduced based on the way the question is worded is to maintain the current meal plan as it presents a negative consequence to introducing a new meal plan. It states that a new meal plan would result in more cost. In order to avoid bias, the survey should ask students opinion about the food without introducing any external reasoning.

Learn more about Bias:

https://brainly.com/question/4503048

#SPJ4

if you have $11 and save $5 each week how much money you will have after 6 weeks

Answers

Answer: 41$

Step-by-step explanation:

This is because 5x6=30 (To find how much money is made)

then 11+30=41 (add both amounts)

PLEASE HELP ASAP!!! will mark

PLEASE HELP ASAP!!! will mark

Answers

Answer:

x=3 or x=5

Step-by-step explanation:

The answer is where the graph line curve cuts the x-axis (the horizontal line)

it cuts at 3 and 5

In the following exercises, set up a table of values and round to eight significant digits. Based on the table of values, make a guess about what the limit is. Then, use a calculator to graph the function and determine the limit. Was the conjecture correct

Answers

It would have been nice if you included the function or the exercises you need help with. Nonetheless, the general solution to the problem is:  Generate a table of values that should have input values approaching the limit from both directions then examine it to determine the behavior of the function. Guess the limit and graph the function and using that determine the limit of the function.

The following is the step-by-step guide to approaching problems related to limit determination based on tables of values and graphs.

Step 1: Create a table of values:

The first step in determining the limit of a function is to generate a table of values. The table should have input values that approach the limit from both directions.

Step 2: Make a conjecture about the limit: Examine the table of values to determine the behavior of the function as x approaches the limit from both directions. Based on the behavior, guess what the limit might be.

Step 3: Graph the function: Using a calculator, graph the function.

Step 4: Confirm the conjecture: Determine the limit of the function from the graph and compare it to your guess. If the limit obtained is consistent with your conjecture, then your guess is correct. If not, then you should reassess your conjecture.

In summary, the table of values helps to give an idea about the behavior of the function as the input approaches the limit from both directions, which can be used to make an educated guess. The graph of the function is then used to confirm the guess.

To know more about function refer here:

https://brainly.com/question/16580206

#SPJ11

Can someone help me pls

Can someone help me pls

Answers

Answer:

60 degrees

Step-by-step explanation:

set up like 240-120

240-120=120

120 divided by 2 equals 60

therefor, the angle is 60 degrees

Find the least-squares regression line y^=b0+b1x through the point
(−3,0),(2,9),(5,13),(9,19),(10,23).

For what value of x is =0?

Answers

Answer:

3

Step-by-step explanation:

Find the value of a2+bc√−d, when




a = –3, b = 2, c = 100, and d = –2

Answers

To find the value of a² + bc√(-d) when a = -3, b = 2, c = 100, and d = -2, follow these steps:

Step 1: Substitute the values into the expression.
a² + bc√(-d) = (-3)² + (2)(100)√(-(-2))

Step 2: Simplify the expression.
(-3)² + (2)(100)√(2) = 9 + 200√2

So, the value of a² + bc√(-d) when

a = -3,

b = 2,

c = 100,

d = -2 is 9 + 200√2.

To know more about linear equations refer here:

https://brainly.com/question/29739212?#

#SPJ11

help me find the answer please​

help me find the answer please

Answers

Answer:

A x<1125

Step-by-step explanation:

which one contains more alcohol? options: 12 ounces of beer (360ml). 4 ounces of wine (150ml). 1.5 ounces of spirits (45ml). they all have the same amount; .6 of an ounce (18ml) of alcohol.

Answers

The option (a) 12 ounces of beer (360ml) contain more alcohol

Alcohol content is something that is important to understand, especially if you are of legal drinking age. It can affect your health and your ability to make sound decisions.

First, let's start with 12 ounces of beer. A typical beer has an alcohol content of around 5%, which means that 12 ounces of beer contains 0.6 ounces (18 ml) of alcohol. This is the same as the fourth option.

Next, let's consider 4 ounces of wine. The alcohol content of wine varies depending on the type and brand, but a typical wine has an alcohol content of around 12%. This means that 4 ounces of wine contains 0.48 ounces (14.2 ml) of alcohol.

Finally, we have 1.5 ounces of spirits. The alcohol content of spirits is generally higher than beer and wine, with a typical range of 40-50%. For the sake of this comparison, let's assume the spirits have an alcohol content of 40%. This means that 1.5 ounces of spirits contains 0.6 ounces (18 ml) of alcohol, the same amount as 12 ounces of beer.

So, in summary, 12 ounces of beer and 1.5 ounces of spirits contain the same amount of alcohol, which is 0.6 ounces (18 ml). 4 ounces of wine contains less alcohol, with 0.48 ounces (14.2 ml).

To know more about ounces here.

https://brainly.com/question/29374025

#SPJ4

A bottling company want to know if the average amount of amount of soda in their bottles is really 20 ounces. Quality control created a sampling distribution of samples size 50. The average of a sample was 19. 8 oz with a standard deviation of 0. 2. What is the mean and standard deviation of the population?

Answers

The mean and standard deviation of the population is 19.8 and 0.004 respectively.

Mean:

The mean is the simple mathematical average of a set of two or more numbers. The mean of a given set of numbers can be calculated in several ways, including the arithmetic mean, which uses the sum of the numbers in the range, and the geometric mean, which takes the mean product of a set. However, all major methods of calculating simple averages produce the same approximate result most of the time.

Standard Deviation:

In statistics, standard deviation is a measure of the amount of variation or distribution of a set of values.  A low standard deviation indicates that the values ​​tend to be close to the ensemble mean (also called the expected value), while a high standard deviation indicates that the values ​​are spread over a wider range.

Given that:

E(x) = μ = 19.8

var(x) = σ²/n = 0.2/50 = 0.004

from here can say that mean = 19.8 and

standard Deviation is 0.004.

Now,

295 -298 P(Bottle x < 295) =P(Z< ) =-1.00 =.15873

Thus, there is nearly a 16% probability that just 1 randomly selected

bottle contains < 295 ml.

Learn more about Standard Deviation:

https://brainly.com/question/23907081

#SPJ4


Find sin(a) in the triangle.

Answers

hey i think u forgot to insert the picture of the triangle lol
there is no picture, the triangle doesn't exist

4 The figure below is a regular hexagonal right prism with a regular hexagonal pyramid carved into a base of the prism. Find the total surface area of the figure if the height of the prism and pyramid is 8 cm, and the length of one side of the hexagonal base of the prism and pyramid is 6 cm. ROUND ANSWER TO NEAREST SQUARE CENTIMETER Total Surface Area = cm²​

4 The figure below is a regular hexagonal right prism with a regular hexagonal pyramid carved into a

Answers

The total surface area of the figure is 498 cm².

We are given that;

s = 6 cm, h = 8 cm

Using the properties of this special triangle, we can find that:

a = s/2√3 = 6/2√3 = 3/√3 cm b = √(h² + a²) = √(8² + (3/√3)²) = √(64 + 9/3) = √(73) cm

Now we can plug these values into the formulas and simplify:

Surface area of a hexagonal prism = 6s(a + h) = 6(6)(3/√3 + 8) = 36(9/√3 + 8) ≈ 432.47 cm² Surface area of a hexagonal pyramid = 3ab + 3bs = 3(3/√3)(√73) + 3(6)(√73) = 9√73 + 18√73 = 27√73 ≈ 159.12 cm² Area of a hexagonal base = (3√3/2)s² = (3√3/2)(6)² = (9√3)(6) ≈ 93.53 cm²

Total surface area of the figure = Surface area of prism + Surface area of pyramid - Area of common base = 432.47 + 159.12 - 93.53 = 498.06 cm²

Rounding to the nearest square centimeter=498 cm²

Therefore, by the area the answer will be 498 cm².

Learn more about the area;

https://brainly.com/question/1658516

#SPJ1

Find Distance on a Coordinate Plane Find the distance between E(-4, 1) and F(3, -1).

Answers

The distance between E(-4, 1) and F(3, -1) is √53

How to determine the distance between E(-4, 1) and F(3, -1)?

The coordinates are given as:

E(-4, 1) and F(3, -1).

The distance is calculated as:

d = √(x2 - x1)^2 + (y2 - y1)^2

Substitute the known values in the above equation

d = √(-4 - 3)^2 + (1 + 1)^2

Evaluate the exponent

d = √53

Hence, the distance between E(-4, 1) and F(3, -1) is √53

Read more about distance at:

https://brainly.com/question/7243416

#SPJ1

Which of the following is a univariate display of quantitative data? histogram mosaic plot bar chart scatterplot

Answers

A histogram is a univariate display of quantitative data that organizes data into bins and shows the frequency of observations within each bin.


A histogram is a graphical representation that displays the distribution of quantitative data. It consists of a series of contiguous bars, where each bar represents a specific range or bin of values, and the height of the bar corresponds to the frequency or count of observations falling within that range.

Histograms are commonly used to visualize the shape, central tendency, and spread of a dataset. By examining the heights of the bars, one can determine the frequency of values within each bin and identify patterns such as peaks or clusters. This makes histograms an effective tool for exploring the distribution and characteristics of a single variable in a dataset.

Learn more about Dataset here: brainly.com/question/24058780
#SPJ11

-9 +m=20
answer asap please!!

-9 +m=20answer asap please!!

Answers

Answer:

29

Step-by-step explanation:

at 9 on both sides to get m alone

-9+m=20

+9. +9

m= 29

Answer:

I believe the answer is 29

Which statement about f(x)=x^2+16x+3 is true?

A. The function has a maximum value of 3
B. The function has a maximum value of 16
C. The function has a maximum value of -8
D.The function has a maximum value of -61

Answers

Answer:

I think D the function has a maximum value of -61

Step-by-step explanation:

I need some help please

I need some help please

Answers

Answer:

x+2

hope this helps ;)

and cute pfp

Answer:

Step-by-step explanation:

x-1, because 3 fits the criteria, x>=1

please answer I need this answer fast please​

please answer I need this answer fast please

Answers

D

its just a basic logarithmic law.

Answer: D!

Explanation: Simply look up the rules of logarithms. This rule will show.

LCM for 20 and 44, (division method)

Answers

The LCM for 20 and 44 is 220.

What is least common multiple (LCM)?

The least or smallest common multiple of any two or more given natural numbers are termed as LCM.

For example, LCM of 10, 15 and 20 is 60.

According to the question,

LCM for 20 and 44,

Step 1 : Divide the given numbers by the least prime number.

Here, 2 is the least number which will divide both 20 and 44.

we get, 10 and 22.

Step 2 : Divide the given numbers by the least prime number.

Here, 2 is the least number which will divide both 10 and 22.

we get, 5 and 11.

Then, the LCM for 20 and 44 is 2×2×5×11.

                                                = 220.

Hence LCM for 20 and 44 s 220.

To learn more on LCM click :

https://brainly.com/question/20739723

#SPJ1

LCM for 20 and 44, (division method)

While doing an experiment on modeling motion due to gravity with quadratic functions, Tomas dropped a cannonball from a hovering helicopter. He collected data on the height in feet of the cannonball from the ground in terms of the elapsed time in seconds since he dropped the ball. The table shows the data collected. How many seconds after it was dropped did the cannonball hit the ground? Type in just the number for your answer! Time (in seconds) 0 Height (in feet) 10,000 9,600 8,400 6,400 5 10 15​

Answers

To determine the number of seconds it took for the cannonball to hit the ground, we need to look for the point in the table where the height is equal to zero.

From the given data, we can see that at 5 seconds, the height is 0 feet. Therefore, the cannonball hit the ground 5 seconds after it was dropped.

So the answer is: 5

Learn more about feet here:

https://brainly.com/question/15658113

#SPJ11

Identify the term that completes the equation. AC^2 = (DC)(?)
BC
AD
BD
AB

Answers

Given AC² = (DC) We have to the term that completes the given equation is CD.

In order to complete the given equation, we must use the formula for the distance between two points in a coordinate plane.

The formula is: d = √(x₂ - x₁)² + (y₂ - y₁)²

Where x₁ and y₁ represent the coordinates of the first point and x₂ and y₂ represent the coordinates of the second point.

So, we can write the distance formula for the given line segment AD as AD = √[(D-C)² + A²]

To complete the equation AC² = (DC)(?),

we must use the Pythagorean theorem to find the value of AC.

According to the Pythagorean theorem, in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

So, we can write:

AC² = AD² + CD²

Substituting the value of AD, we get:

AC² = [(D-C)² + A²] + CD²AC²

      = (D-C)² + A² + CD²

So, the term that completes the equation is CD.

To know more about coordinates, visit:

https://brainly.com/question/22261383

#SPJ11

What is the circumference of a circle with a diameter of 5 feet? Use 3.14 for pie.

Answers

Answer:

A. 15.7 ft

Step-by-step explanation:

circumference = 2πr

radius= half the diameter 5/2=2.5

2(3.14)(2.5)=15.7 ft

Other Questions
What is the sum of the 9th square number and the 8th square number like-skilled workers, such as printers, shoemakers, tailors, and bakers, organized the earliest unions in the united states. question 8 options: 1) true 2) false A recipe uses 5 cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made from two quarts?also how many cups will you need to find the number of servings for? 3 Many employers list effective communication, collaboration, and interpersonal skills as job requirements. How can you demon- strate these qualities in your social media content? Identify ex- amples if a behavior modification program consistes of just a baseline phase and treatment phase, explain in two or three sentences A conclusion reached after an evaluation of the facts and the precedent, and law. it is also called a ruling, an opinion, or a judgement.a. Trueb. False Find the coordinates of the points on the curve r = 1 + cos0 where the tangent line is vertical or horizontal on[0,2). Use Newton's method with x) = [0:0] to find the root of the following nonlinear system with a 102 accuracy.f = x - 2x + y = 0 g = y + 5x+8=0 Embedded within a semifluid solution within the plasma membrance called the ____________ are small particles called ____________ that function in protein synthesis. why is a slit necessary to observe interference of light waves In the beginning of Romeo and Juliet, who is in love with Rosaline?A. MercutioB. RomeoC. BenvolioD. Paris Which of the following is not an advantage of establishing an enterprise risk management system within an organization?(1) Reduces operational surprises.(2) Provides integrated responses to multiple risks.(3) Eliminates all risks.(4) Identifies opportunities.(3) Eliminates all risks. How do you find the circles center? The school cafeteria tracks the sale of fruit. The table shows the type and number of pieces of each of the first 20 fruit sales in a day. Predict how many pears will be sold if a total of 30 pieces of fruit are sold during the day. cortez, inc., is expecting to pay out a dividend of $2.5 next year. after that it expects its dividend to grow by 25 cents per year for the next 3 years. what is the present value of dividends over the four year period if the required rate of return is 9 percent? (do not round intermediate calculations. round final answer to two decimal places.) In a grocery store, the total number of cashiers and stockers must be at least 12 but not more then 20. There must be at least 5 cashiers and 3 stockers. Let x represent the numbers of cashiers and y represent the number of stockers. Which system of inequalities can be used to find the number of cashiers and stockers required? If a vector has direction angles = /4 and = /3, find the third direction angle .The answer is pi/3 but I don't understand. please explain in detail)Percent decreased _______% if f(x)=3/x+2 -square root sign x-3 complete the following statement the domain for f(x) is all real numbers ____ than or equal to 3 Hiii I just need to know the answer for this. Please lend me a helping hand.Ill make this 15 points A polysaccharide that is formed in the liver and muscle cells of the body in order to store glucose is known as: WILL GIVE BRAINLIEST!!!a. glycogenb. sucrosec. cellulosed. lactose