the free cash flow for Joyner Company in Year 2, we need to follow these steps:
Step 1: Calculate operating cash flow (OCF).
Operating cash flow is calculated by taking the company's net income, adding back non-cash expenses (depreciation and amortization), and adjusting for changes in working capital.
Step 2: Calculate capital expenditures (CapEx).
Capital expenditures are the funds used by the company to acquire, upgrade, and maintain physical assets, such as equipment or buildings. In this case, we need to find the net change in equipment and accumulated depreciation.
Step 3: Subtract the cash dividend.
The cash dividend paid by the company during Year 2 should be subtracted from the operating cash flow.
Step 4: Calculate the free cash flow.
Free cash flow is the remaining cash after deducting capital expenditures and cash dividends. It represents the cash available for the company to repay debt, reinvest in the business, or distribute to shareholders.
Unfortunately, the provided information is not sufficient to compute the free cash flow for Year 2. Specifically, the net income, changes in working capital, and complete equipment transactions are needed to perform these calculations. Please provide the missing information so that a detailed step-by-step explanation can be given to compute the free cash flow for Joyner Company in Year 2.
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which linear function shows a direct variation
Answer:
a pod t.v. Ka ssh Mic yummy
cho x,y thuộc n thoả mãn x hia 3 dư 1,y chia 3 dư 2.hỏi x.y chia 3 có số dư bằng bao nhiêu
Answer:
2
Step-by-step explanation:
x÷3 dư 1-->x=3a+1
y÷3 dư 2-->y=3b+2
x×y=(3a+1)×(3b+2)
=9ab+6a+3b+2
Mà 9ab, 6a, 3b chia hết cho 3, 2 chia 3 dư 1
==>x×y chia 3 dư 2
i need help asap cause this assignments due like today
The graph below plots a function f(x):
If x represents time, the average rate of change of the function f(x) in the first three seconds is ___.
Answer:
The average rate of change of a linear function is the slope of the line. Since we are given the following coordinates:
(0,150) and (3,0)
We can easily solve for the slope.
m = (y2 - y1) / (x2 - x1)
m = (0 - 150) / (3 - 0) = -50
Therefore, the average rate of change of the function in the three seconds is -50.
Solve for x. Round to the nearest tenth of a degree, if necessary.
When testing for current in a cable with eight color-coded wires, the author used a meter to test two wires at a time. How many different tests are required for every possible pairing of two wires? The number of tests required is
28 different tests are required for every possible pairing of two wires.
How to determine the number of different tests?The number of tests required is 28 different tests. The total number of combinations that can be made by selecting 2 wires from a total of 8 wires is given by nC2, which is equal to 8C2.
Computation of 8
C2= 8! / (2! × (8 - 2)!)8
C2= 28
Hence, 28 different tests are required for every possible pairing of two wires.
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Given that mCD=20°, find mBC
Answer:
70°
Step-by-step explanation:
\( m\widehat {BC} = 90\degree - m\widehat {CD} \)
\( m\widehat {BC} = 90\degree -20\degree \)
\( m\widehat {BC} = 70\degree \)
The lower limit of one of the objective function coefficients is 19. If this coefficient is
changed to 18.99 (the coefficient was originally 24)
If the lower limit of one of the objective function coefficients is 19 and it is changed to 18.99 (while the coefficient was originally 24), it means that the coefficient is being decreased.
This change in the coefficient value may affect the optimal solution of the linear programming problem. The new coefficient of 18.99 would make the corresponding variable less valuable or less desirable in the objective function compared to its original value of 24. This can potentially lead to a different optimal solution or a change in the objective function value.
The impact of this change on the overall solution depends on the specific problem and its constraints. It would be necessary to re-evaluate the linear programming problem with the updated coefficient value to determine its effects on the optimal solution and the objective function value.
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Given the function f(x) = f(x - 1) + f(x - 3) for x > 1. Given that f(0) = f(1) = f(3) = 1. Find the value of f(4). Please include an explanation. Thanks! =)
Step-by-step explanation:
\(f(x)=f(x-1)+f(x-3)\)
Substitute x=4,
\(f(4)=f(4-1)+f(4-3)=f(3)+f(1)=1+1=2\)
The height of men is a normally distrubuted variable with a mean of 68 inches and a standard deviation of 3 inches.**Round answers to ONE decimal place**a.) What is the minimum height you could be to be considered in the top 10% of tallest men? b.) What is the tallest you could be to be considered in the shortest 15% of men?
For this problem, we are given the mean and standard deviation for the height of men. We need to calculate the minimum height to be considered in the top 10% of tallest men, and the maximum height to be considered in the shortest 15% of men.
The first step we need to solve this problem is to calculate the z-score. The z-score can be found by using the following expression:
\(z=\frac{x-\mu}{\sigma}\)For the first situation, we want a z-score for the top 10% of tallest men. This means that we need to go on the z-table and find the z-score that represents 90% of probability to the left because this will give us the minimum height to be at the 10% tallest. From the z-table we have:
\(z=1.29\)Now we can use the z-score expression to find the value of x. We have:
\(\begin{gathered} 1.29=\frac{x-68}{3} \\ x-68=3.87 \\ x=3.87+68 \\ x=71.87 \end{gathered}\)The man should be at least 71.85 inches tall to be considered among the 10% of tallest men.
For the second situation, we have something similar. We need to find the maximum height for a man to be considered between the 15% of men. We need to go into the z-table and find the z-score that produces a result close to 0.15. We have:
\(z=-1.04\)Now we need to use the z-score expression to determine the height:
\(\begin{gathered} -1.04=\frac{x-68}{3} \\ x-68=-3.12 \\ x=68-3.12 \\ x=64.88 \end{gathered}\)In order to be considered among the smallest men, someone needs to be 64.88 inches tall.
The Parker family and the Wood family each used their sprinklers last summer. The Parker family's sprinkler was used for 30 hours. The Wood family's sprinkler
was used for 15 hours. There was a combined total output of 750 L of water. What was the water output rate for each sprinkler if the sum of the two rates was
35 L per hour?
Parker family’s sprinkler-___L per hour
Wood family’s sprinkler- ___L per hour
Using a system of equations, we have:
Parker family’s sprinkler 15 L per hour
Wood family’s sprinkler 20 L per hour
How to Solve a System of Equations?Let's represent the water output rate for the Parker family's sprinkler as "P" and the water output rate for the Wood family's sprinkler as "W".
We know that the Parker family used their sprinkler for 30 hours, so they released a total of 30P liters of water. Similarly, the Wood family released a total of 15W liters of water.
The combined total output of both sprinklers is given as 750 L of water:
30P + 15W = 750
We also know that the sum of the two rates is 35 L per hour:
P + W = 35
Now we have two equations with two unknowns. We can solve for P and W by using substitution or elimination. Here, we will use substitution. Solving the second equation for P, we get:
P = 35 - W
Substituting this expression for P into the first equation, we get:
30(35 - W) + 15W = 750
Expanding and simplifying, we get:
1050 - 30W + 15W = 750
-15W = -300
W = 20
Now that we know W, we can use the second equation to find P:
P + 20 = 35
P = 15
Therefore, the water output rate for the Parker family's sprinkler was 15 L per hour, and the water output rate for the Wood family's sprinkler was 20 L per hour.
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9-x<-11
(**hint** x cannot be negative. IF x is negative, that is like having a coefficient of -1...how would you "cancel out" that coefficient? )
Solve
Answer:
Bueno, sí y no. Si está multiplicando dos términos como (x - 2) y (x - 2), usaría el método FOIL: primero, adentro, afuera, último. Vea el diagrama adjunto. Los dos signos negativos se cancelarían entre sí solo al multiplicar los últimos valores. Avísame si necesitas más explicaciones.
-cjhunter.26
For every 1000 hits a channel gets it makes £5 from ad revenue. How many hits will the channel need to make £1?
Answer:
200 hits
Step-by-step explanation:
step1 : £5-1000
£1-?
step2: 1000 /5
=200
pierre is an electrician she use this formula to work out the amount $c to charge for a job that takes t hours C=20+30t she starts a job at 9.30am and finishes 1pm work out the charges for this job
Answer:
To work out the charges for the job, we first need to calculate how many hours Pierre worked on the job.
She started at 9:30 am and finished at 1:00 pm, which means she worked for:
1:00 pm - 9:30 am = 3.5 hours
Now, we can use the formula C=20+30t, where t is the number of hours worked (in this case, 3.5) to calculate the charges for the job:
C = 20 + 30(3.5)
C = 20 + 105
C = 125
Therefore, Pierre should charge $125 for the job.
Help urgent In a class of 35 students 15 of them have cats 16 have dogs 3 hangs none how many probability does have both
Answer:
9/25
Step-by-step explanation:
Number of student who has cat , dog = 25 - 3 = 22
Number of students who has cat and dogs = (15 + 16) - 22
= 31 - 22 = 9
Number of students who has only cats = 15 - 9 = 6
Number of students who has only dogs = 16 - 9 = 7
P(Cat & dog) = 9/25
kristin boards a ferris wheel at the 3 -o'clock position and rides the ferris wheel for one full rotation as shown. the ferris wheel's radius is 13 meters long. let s represent the distance kristin has traveled along the circular path since the ride started (in meters). imagine an angle centered at the ferris wheel's center that subtends the path kristin travels.
Kristin boards a ferris wheel with a radius of 13 meters at the 3-o'clock position and rides it for one full rotation. To represent the distance Kristin has traveled along the circular path since the ride started, we use s. We are asked to imagine an angle centered at the ferris wheel's center that subtends the path Kristin travels. This can be solved by the concept of Circles.
Let's start by drawing a diagram of the situation. We draw a circle with a radius of 13 meters to represent the ferris wheel. We place Kristin at the 3-o'clock position on the circle. To represent the distance Kristin has traveled, we draw a line segment from the center of the circle to a point on the circle where Kristin currently is. Let's call this point P. We label the length of this line segment as s.
Now, we know that Kristin rides the ferris wheel for one full rotation. This means that the ferris wheel also makes a full rotation. Therefore, the angle subtended by the path Kristin travels is 360 degrees.
To find the length of s, we need to use some trigonometry. We can see that triangle OAP (where O is the center of the circle) is a right-angled triangle, with OA being the radius of the circle and OP being s. We can use the Pythagorean theorem to find the length of AP:
AP^2 = OA^2 - OP^2
AP^2 = 13^2 - s^2
AP = sqrt(169 - s^2)
Now, we can use trigonometry to find the length of s. We know that the angle subtended by the path Kristin travels is 360 degrees, or 2π radians. Therefore, the angle subtended by arc AP is also 2π radians. We can use the formula for the length of an arc:
length of arc = radius x angle in radians
So, we have:
AP = radius x angle in radians
sqrt(169 - s^2) = 13 x 2π
169 - s^2 = 169π^2
s^2 = 169 - 169π^2
s ≈ 19.6 meters
Therefore, Kristin travels approximately 19.6 meters along the circular path during the ride.
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Simplify (1+ 3) (2-3)
Step-by-step explanation:
\( \sqrt{3} - 1\)
Answer:
-1 + √3
Step-by-step explanation:
use the F.O.I.L method to solve this.
"firsts"
1 * 2 = 2
"outsides"
1 * -√3 = -√3
"insides"
√3 * 2 = 2√3
"lasts"
√3 * - √3 = -3
so you get:
2 - √3 + 2√3 - 3
combine like terms
-1 + √3
Multiply 400 and 45.2 together.
Round to the nearest hundredth when necessary.
Answer:
Answer:
445.2 i think
Step-by-step explanation:
Help please does anyone know the answer to this??
Answer: Yep, It's (0,2)
Step-by-step explanation: The coordinates that the line crosses the y axis are (0,2).
Answer:
(0, 2) or choice a
Step-by-step explanation:
y-intercept is the value of y where the function crosses the x-axis at x = 0
From the graph you can see that the plot crosses the y axis at the point (0, 2)
The staff at a company went from 40 to 29 employees. What is the percent decrease in staff
Answer:
27,5%
Step-by-step explanation:
To find the percent decrease, we need to calculate the difference between the original number and the new number and then divide it by the original number and multiply by 100%.
The difference is 40 - 29 = 11.
The percent decrease is (11/40) * 100% = 27.5%
So the percent decrease in staff is 27.5%
Ecuacion de la recta que pasa por el punto donde se cortan las rectas X+4Y=0 y X-3Y-7=0 y que tiene como pendiente -6
Answer:
La ecuación de la recta es \(y = -6\cdot x +23\).
Step-by-step explanation:
Para construir la ecuación de la recta podemos utilizar un punto contenido en la recta y su pendiente. En primer punto, hallamos el punto con la resolución del siguiente sistema de ecuaciones lineales:
\(x+4\cdot y = 0\) (1)
\(x-3\cdot y = 7\) (2)
La solución del sistema de ecuaciones es \((x,y) = (4,-1)\).
Por Geometría Analítica, sabemos que la Ecuación de la Recta en su forma explícita es:
\(y = m\cdot x + b\) (3)
Donde:
\(x\) - Variable independiente.
\(y\) - Variable dependiente.
\(m\) - Pendiente.
\(b\) - Intercepto.
Si sabemos que \((x,y) = (4,-1)\) y \(m = -6\), entonces el intercepto de la recta es:
\(b = y-m\cdot x\)
\(b = 23\)
Ahora, la ecuación de la recta es \(y = -6\cdot x +23\).
find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4
When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.
To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.
Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:
\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)
Taking the square root of both sides to find sin(0), we have:
sin(0) = ±√(16/25)
Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:
sin(0) = -√(16/25)
Simplifying further, we get:
sin(0) = -4/5
Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.
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Note the correct and the complete question is
Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4 ?
Solve -x/3>5 i don't know what to do
Answer:
It's D, x≤-15
(4+x) divided by 12.
im stuck heree :(
Steps:
See attachment.
Description:
The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.
For more steps and graph see the attachment.
Answer: 1/12 x + 1/3
Hope this helps.
PLEASE HELPP
Identify the growth factor for the following exponential function: y= 2.3(1.32)*
A. 2.3
B. 1.32
C. X
D. 32%
Answer:
D. 32%
Step-by-step explanation:
In an exponential function, exponential growth is modeled by f(x) = a(1 + [rate])ˣ. In this function, the initial value a, which is 2.3, is multiplied by 1.32 x times, so 1.32 represents the actual growth happening.
This means that to find the actual rate of exponential growth, you’d have to set 1.32 equal to (1 + [rate]). If (1 + [rate]) = 1.32, then the rate = .32, and because rates are written as percentages, we change .32 to 32%.
The blue shape is a dilation of the black shape. What is the scale factor of the dilation?
Answer:
x and y values are doubled; scale factor is 2
Step-by-step explanation:
(4,5) becomes (8,10)
(2,5) becomes (4,10)
(1,4) becomes (2,8)
If the roots of a quadratic are x = -2 and x = 4, what are the factors? A. (x + 2) and (x + 4) В. (x - 2) and (x + 4) C. (2x) and (4x) D. (x + 2) and (x – 4)
The correct answer to the question is B. (x - 2) and (x + 4).
To understand why, we need to know that the roots of a quadratic equation are the values of x that make the equation equal to zero. In this case, the roots are -2 and 4, which means that the quadratic equation can be written in the form of (x + 2)(x - 4) = 0. This is because if we plug in -2 for x, we get (x + 2) = 0, and if we plug in 4 for x, we get (x - 4) = 0. Therefore, the factors of the quadratic equation are (x + 2) and (x - 4). It's important to note that this method works for any quadratic equation with two roots, not just this specific example.
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The simple conditions for introducing basic ideas about inference for µ do not include:
A) a simple random sample
B) a measure of interest that follows a Normal distribution exactly
C) a known value of the population mean µ.
D) a known value of the population standard deviation σ
The simple conditions for introducing basic ideas about inference for µ do not include C) a known value of the population mean µ.
In statistical inference, the goal is to make inferences or draw conclusions about population parameters, such as the population mean (µ), based on sample data. The conditions necessary for making these inferences typically involve assumptions about the sample and population.
The simple conditions for introducing basic ideas about inference for µ include:
A) A simple random sample: This condition ensures that each individual in the population has an equal chance of being selected for the sample. It helps to minimize bias and allow for generalization from the sample to the population.
B) A measure of interest that follows a Normal distribution exactly: Many statistical inference procedures, such as confidence intervals and hypothesis tests, rely on the assumption that the sample mean or the sampling distribution of the mean follows a Normal distribution, particularly for large sample sizes.
D) A known value of the population standard deviation σ: This condition refers to cases where the population standard deviation is known and can be used in the inference procedures. However, in practice, the population standard deviation is often unknown, and estimation methods are employed.
C) A known value of the population mean µ: This condition is not included in the simple conditions for introducing inference for µ. In most cases, the population mean is unknown and is the parameter of interest that we want to estimate using the sample data.
Therefore, the correct answer is C) a known value of the population mean µ.
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is this true or false? f (n )equals o (g (n ))space a n d space g (n )equals o (f (n ))space t h e n space f (n )equals theta (g (n ))
The statement "f(n) equals O(g(n)) and g(n) equals O(f(n)) then f(n) equals Θ(g(n))" is true.
In computer science, the O-notation and Θ-notation are used to describe the upper and tight bounds, respectively, of the running time of an algorithm. O-notation provides an upper bound on the running time of an algorithm, while Θ-notation provides a tight bound, meaning that the running time of an algorithm is both upper-bounded and lower-bounded by a certain function.
When f(n) equals O(g(n)), it means that the growth rate of f(n) is upper-bounded by the growth rate of g(n). In other words, the running time of f(n) is no greater than that of g(n), multiplied by some constant factor.
When g(n) equals O(f(n)), it means that the growth rate of g(n) is upper-bounded by the growth rate of f(n). This implies that the running time of g(n) is no greater than that of f(n), multiplied by some constant factor.
If both f(n) equals O(g(n)) and g(n) equals O(f(n)), it can be concluded that the running time of f(n) and g(n) are asymptotically equivalent. This means that their growth rates are the same, and thus f(n) equals Θ(g(n)).
In conclusion, if f(n) equals O(g(n)) and g(n) equals O(f(n)), it is true that f(n) equals Θ(g(n)), which means that the two functions have the same growth rate. This property can be useful in comparing the running time of different algorithms or in analyzing the efficiency of algorithms.
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4 Jamyra4555 (follow her)
Answer:
b
Step-by-step explanation:
10*10=100
100+140=240
240/5=48
Answer:
it's BBBBBBBBBBBBBBBBBB) 48
Step-by-step explanation:
PLEASE HELP ASAP!!!!!! WILL MARK BRAINLIEST!!!! HELP!!!!
Answer:
obtuse
784
greater than
730
Step-by-step explanation: