If Faleye Consulting’s WACC is 10% and both “projects” can be repeated indefinitely, the system that should be chosen is System A, and its EAA is $2,866.91.
What is the EAA of a project?The EAA of a project is the Equivalent Annual Annuity. The EAA can be determined using the following formula.
EAA = r x NPV1 - (1 + r)-n
Where the EAA = Equivalent Annual Annuity
r = interest rate per period
n = project duration
NPV = Net present value of project
We can also compute the EAA by using an online finance calculator as follows:
Data and Calculations:System A System B
After-tax cost $19,000 $13,000
After-tax cash flows $6,000 $6,000
Equipment duration 6 years 3 years
WACC = 10%
Annuity factor 4.355 2.487
Present value of cash flows $26,130 $14,922 ($6,000 x 2.487)
NPV $7,130 $1,922 ($14,922 - $13,000)
EAA (an online calculator) $2,866.91 $800.966
Thus, using the EAA rule, the computer system that should be chosen is System A because it has a higher EAA than System B.
Learn more about the equivalent annual annuity at https://brainly.com/question/20566589
4+10(5-3) = 4 +62 is what?
O 18
O 42
O 21
O45
Hey there!
4 + 10(5 - 3) = 4 + 62
4 + 10(5) + 10(-3) = 4 + 62
4 + 50 - 30 = 4 + 62
54 - 30 = 4 + 62
24 = 4 + 62
24 = 66
24 ≠ 66
OR
4 + 10(5 - 3) = 4 + 62
4 + 10(2) = 4 + 62
4 + 20 = 4 + 62
24 = 4 + 62
24 = 66
24 ≠ 66
Thus, this statement is FALSE because both of your numbers aren’t equivalent to each other.
But, let’s try this method
4 + 10(5 - 3) = 4 + 62
4 + 10(2) = 4 + 62
4 + 20 = 4 + 62
24 = 66
24 ≠ 66
66 - 24 = 42
Thus, if this is what your question is asking it would be: Option B. 42
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Please help on math.
Answer:
The median is 45
Step-by-step explanation:
The median is also referred to as "the middle" value, so you want to take all the values in order and find the middle number. that will be the median. It's the same either box plots.
A quicker way to find it with box plot is to look at the line inside the of the box (line is not always in center of box) on the plot. that is where you'll find the median on questions like these.
hope this helps! :)
6) Molly invests $7,747 in a retirement
account with a fixed annual interest rate
compounded 2 times per year. After 16
years, the balance reaches $31,685.08.
What is the interest rate of the account?
Answer:
R = 9% per year
Step-by-step explanation:
Please help and explain this to me!! I am confused and would like to know how to solve!!
Answer:
13. C) The sum of the numerators is incorrect.
14. B) [tex]-\frac{5}{8}+\frac{1}{8}=\frac{-5+1}{8}=\frac{-4}{8} =-\frac{1}{2}[/tex]
Step-by-step explanation:
13. The reason why it's incorrect.
When dealing with the sum of fractions, denominators must be the same. So allows us to do the sum of the numerator. The image displayed is the incorrect sum of the numerator.
14. [tex]-\frac{5}{8}+\frac{1}{8}=\frac{-5+1}{8}=\frac{-4}{8} =-\frac{1}{2}[/tex]
henry had charged 847 dollars to his credit card. the cost of his next purchase caused him to exceed his credit limit of 1000
Answer:
The purchase is greater than $153
Step-by-step explanation:
A function f is odd and f(x)=x^2 for all x>0. Sketch the graph of of this function and then write the rule of the function as a single formula
Pls solve I put 77 points ito this
The odd function is:
f(x) = sgn(x)*x^2
And the graph can be seen at the end.
How to get the formula of the function?
An odd function has the property:
f(-x) = -f(x).
In this case, for x > 0 we have:
f(x) = x^2
Notice that if we evaluate that in a negative number, we get:
f(-2) = (-2)^2 = 2^2 = f(2)
So, this is actually even.
To transform it into an odd function, we can multiply it by the sign function:
f(x) = sgn(x)*x^2
Now, when x is negative, the outcome will be negative, so the function is odd. The graph can be seen below.
If you want to learn more about odd functions:
https://brainly.com/question/2284364
#SPJ1
help me with this pls
Answer:
sure I'll help u with this as this question required to have a and asuch a being used to review with an associate with you in the comment of the item that you used in the comment is the only one that was a good one to review the product and details about the refund
some one help me solve this asap pls and thx!!
Answer:
x = 14
Step-by-step explanation:
Knowing that this figure is a vertical angle.
Define vertical angles ⇒ a pair of opposite angles formed by intersecting lines
Thus, if the left side = 122
then the other side must equal 122
The equation is:
8x + 10 = 122
Subtract 10 from both sides
8x + 10 - 10 = 122 -10
8x = 122
Divide both sides by the same factor
8x/8 = 122/8
Simplify
x = 14
Thus, x = 14.
Kavinsky
Suppose you play a game in which 5 dice (6-sided) are rolled simultaneously.
If a "4" is rolled, then you win $2 for each "4" showing.
If all the dice are showing "4", you win $1000.
If none of the dice are showing "4", then you lose $5.
What is the expected value of this game. (Show work)
If you want to you can take a photo of the work and upload it.
The expected value of the game in which 5 dice (6-sided) are rolled simultaneously is -0.2094.
How to find the mean (expectation) and variance of a random variable?Supposing that the considered random variable is discrete, we get:
Mean = [tex]E(X) =[/tex] [tex]\sum_{\forall x_i} f(x_i)x_i[/tex]
Here, [tex]x_i; \: \: i = 1,2, ... ,[/tex] n is its n data values and [tex]f(x_i)[/tex]is the probability of [tex]X = x_i[/tex]
Suppose you play a game in which 5 dice (6-sided) are rolled simultaneously.
If a "4" is rolled, then you win $2 for each "4" showing.If all the dice are showing "4", you win $1000.If none of the dice are showing "4", then you lose $5.Let Y is the amount of money player won. The value of X can be,
[tex]Y=2,4,6,8,1000,-5[/tex]
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consists of n independent Bernoulli trials. Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
The expected value and variance of X are:
[tex]E(X) = np\\ Var(X) = np(1-p)[/tex]
Put the values as 5 trials for each time 4 appears.
[tex]P(X =0) = \: ^5C_1(\dfrac{1}{6})^0(1-\dfrac{1}{6})^{5-0}=0.4018 \:\\P(X =1) = \: ^5C_1(\dfrac{1}{6})^1(1-\dfrac{1}{6})^{5-1}=0.402\\P(X =2) = \: ^5C_2(\dfrac{1}{6})^2(1-\dfrac{1}{6})^{5-2}=0.162\\P(X =3) = \: ^5C_3(\dfrac{1}{6})^3(1-\dfrac{1}{6})^{5-3}=0.032\\P(X =4) = \: ^5C_4(\dfrac{1}{6})^4(1-\dfrac{1}{6})^{5-4}=0.0032\\P(X =5) = \: ^5C_5(\dfrac{1}{6})^5(1-\dfrac{1}{6})^{5-5}=0.00013\\[/tex]
The probability of loosing $5 equal probability of 0 success.
[tex]P(Y=-5)=P(x=0)[/tex]
Similarly, for probability of getting profit are,
[tex]P(Y=2)=P(x=1)\\P(Y=4)=P(x=2)\\P(Y=6)=P(x=3)\\P(Y=8)=P(x=4)\\P(Y=1000)=P(x=5)[/tex]
Expected value of game,
[tex]E(Y)=\sum y .P(Y=y)\\E(Y)=-5.P(X=0)+2.P(X=1)+4.P(X=2)+6.P(X=3)+8.P(X=4)+1000.P(X=5)\\E(Y)=-0.2094[/tex]
Thus, the expected value of the game in which 5 dice (6-sided) are rolled simultaneously is -0.2094.
Learn more about expectation of a random variable here:
https://brainly.com/question/4515179
Learn more about binomial distribution here:
https://brainly.com/question/13609688
#SPJ1
What is a rewritten form of the radical?
A.
-8816
B.
C.
D.
-90.75
-98616
-2.904
Two angles are supplementary. The larger angle is
150
∘
larger than the smaller angle. Find the measure of both angles, and separate your answers with a comma.
Answer:
x = 165, y = 15
Step-by-step explanation:
1. Well, what does supplementary mean? - The angles add up to 180°.
2. Let's form an equation: x + y = 180°
3. Let's say x is the larger angle and y is the smaller angle.
4. Let's form another equation: x = 150 + y
5. Put the two equations next to each other:
x + y = 180
x = 150 + y
6. We know what x is equaled to, so let's plug it into the first equation!
150 + y + y = 180
150 + 2y = 180
-150 -150
2y = 30
y = 15
7. Now, we know what y is, let's find x!
x + 15 = 180
-15 -15
x = 165
The measure of both angles are 15 degrees and 165 degrees.
What is Angle?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle
Given that the two angles are supplementary.
we know that supplementary angles are the angles whose sum is added to 180 degrees.
Let the smaller angle is x.
The larger angle is 150∘ larger than the smaller angle.
y=x+150
Now add both the angles which makes 180 degrees
x+x+150=180
2x+150=180
Subtract 150 on both sides
2x=30
Divide both sides by 2
x=15
So the smaller angle is 15 and the larger angle is 165 degrees
Hence, the measure of both angles are 15 degrees and 165 degrees.
To learn more on Angles click:
https://brainly.com/question/28451077
#SPJ2
Write an equation in slope-intercept form of the line shown.
An equation is
Answer:
y = -x - 4
hope this helped :)
A table of values for the quadratic function f is shown below. If 3 is one solution to f(x) = 0, what is the value of the other solution?
Record your answer and fill in the bubbles on your answer document.
Answer:The answer to this oroblem would be -7
Step-by-step explanation:We can see this by when f(x) is 0 right next to it is -7
The value of the other solution for f(x)=0 is -7. This is obtained by taking the general form of the quadratic equation f(x)=y.
Quadratic function:A function is represented by an equation f(x)=ax²+bx+c where a≠0 and b, c are any real numbers.This can be generalized into f(x)=y where x is an independent variable and y is a dependent variable.Given data:In the table, x values range from -8 to 1
So, we can write using the general form f(x)=y for these values
For x=-8, f(-8)=-2.75
x=-7, f(-7)=0
x=-6, f(-6)=2.25
x=-5, f(-5)=4
x=-4, f(-4)=5.25
x=-3, f(-3)=6
x=-2, f(-2)=6.25
x=-1, f(-1)=6
x=0, f(0)=5.25
x=1, f(1)=4
And 3 is one of the solution to f(x)=0.
Calculating solution for f(x)=0:It is given that f(x)=0 when x=3
Thus,
f(3)=0
From the table,
f(-7)=0
So, the other solution for the function f(x)=0 is -7.
Learn more about quadratic function here:
https://brainly.com/question/12275667
#SPJ2
I need help solving this math problem. The teacher wants us to fill in three things using this math equation: 2x - 3√x + 1 = 0
(1) u=_
(2) u^2=_
(3) _u^2+_u+1=0
The teacher wants us to accomplish this using the U-Substitution method.
I'm not sure for my awnser but I thing 30
Which equation does NOT represent a linear function? A. y = 5 B. 4 y = 2 x − 8 C. y = x + 2 x 2 D. y = − 2 3 x − 1
What is z in the context of the problem that’s at hand?
Answer:
The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean
Step-by-step explanation:
i dont know if i am correct tho, please like if i am correct
what is the greatest prime number less than 50?
Answer:
The greatest prime number less than 50 is 47
A married couple and their 4 children buy tickets to a ball game. The tickets cost 25 dollars api but each of their children gets a 20 percent discount. How much, in dollars, must the family pay for A tickets?
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
Answer:
the answer is in the picture
Is this the graph of a function?
Answer:
function
Step-by-step explanation:
this graph is a function.
why?
if we draw a vertical line on all points of the function we can see that it only intersects ONCE. Therefore, it's a function. if it intersects more than once then it will not be a function
100 POINTS ANSWER ASAP
George's living room is a square that is 33 ft long on each side. He knows the diagonal of the ceiling from corner to corner must be longer than 33 ft.
(a) He thinks that because a square cut in half forms a special right triangle with the diagonal as the hypotense, so he multiples the side length by two to get 66 feet.
What is George's mistake?
(b) What is the correct length of the diagonal of George's ceiling using the correct special right triangle shortcut? (give exact answer, do not round)
(c) Use either the pythagorean theorem OR the correct trigonometry ratios to solve for the length of the diagonal (round to the nearest tenth of a foot)
Make sure to show all your work.
Answer:
47
Step-by-step explanation:
a)
a^2 + b^2 = c^2
33^2+33^2=c^2
2178=c^2
c=(nearest is 47)
b)
If you cut the square in half diagonally, it forms two right triangles with angle measures 90-45-45. You can use sin (opposite over hypotenuse) to find the length of the hypotenuse. sin (45) would be 33/(hypotenuse length). From a trig chart, you can find that sin (45) is 1/sqrt(2), meaning that 33/x = 1/sqrt(2). This means that x=33sqrt(2), which is around 47.
Determine whether each relation is a function.
Answer:
no
Step-by-step explanation:
no
one input (x) has 2 outputs (y)
the input 2 has 2 outputs 1 and 4
this does not pass the vertical line test
therefore it is not a function
Use ABC to find the value of tan B 41/9 40/9 41/40 9/41
Answer:
tanB =40/9
Step-by-step explanation:
tan B = opposite/adjacent
where the opposite is 40 and the adjacent is 9
therefore, tanB =40/9
Solve for x=?
a. 1.5(x+t)=9
Answer:
1.5x1.5t=9
Step-by-step explanation:
because i am learning this topic
*90 points* Pls help and give full responses pls!! Look at the graph in the pic.
A. Compare the distances relative to Columbus from which the trains begin their trip.
B. Tom claims both trains traveled at the same speed over a certain interval. Sara claims that both trains traveled at different speeds the entire time. Justify which claim is correct.
Type your answer in the space provided.
Answer:
A. Train A begins 1800 miles from Columbus while train B begins 1200 miles from Columbus
B. Train A travels at a constant rate because its graph is a linear equation. Train B does not move until 1pm, when it starts moving towards Columbus at the same speed as train A. I know that trains are traveling at the same speed at a certain interval because they have the same slope at that interval. Because the train was moving at the same speed as train A over a certain interval, Tom is correct.
Step-by-step explanation:
A rectangular dance floor has an area of 96 square feet and a length of 8 feet. What is the width of the dance floor?
Answer:
The answer is 12ft
Step-by-step explanation:
96/8 = 12
Area = length x width
8. The expression below is evaluated when x = 9, y = 3,
and z = 2. What is the value of the expression?
8x - 72 + 2y
Answer:
64
Step-by-step explanation:
First of all substitute the values to where ever you see their corresponding variables to make them multiply.
x = 9
y = 3
z = 2
so we get
8x as 8(9),
7z as 7(2)
2y as 2(3)
then the it's will be
8(9) - 7(2) + 2(3)
which is
72 - 14 + 6
finally we get
64
A car is purchased for 1200. Each year it loses 25% of its value. After how many years will the car be worth 2800 or less?
Answer:
5.06 years
Step-by-step explanation:
It is already worth less than 2800
perhaps you meant the purchase price was 12 000
2800 = 12 000 ( .75)^n
n = 5.06 years it will = 2800
What are all possible values of x if 10x + 7 ≥ 67
[tex]~~~~10x+7\geq 67\\\\\implies 10x \geq 67 -7\\\\\implies 10x \geq 60\\\\\implies x \geq \dfrac{60}{10}\\\\\implies x \geq 6[/tex]
why does thsi always happen
Answer:
It always happens because you asked the question
Step-by-step explanation: