The payback period of the investment is 6.6 years.
The net present value is $7,797.22.
The payback period calculates the amount of time it takes to recover the amount invested from the cumulative cashflows.
Payback period = Amount invested / cost saving
$55,440 / $8,400 = 6.6 years
Net present value is the present value of after-tax cash flows from an investment less the amount invested.
NPV can be determined using a financial calculator
Cash flow in year 0 = $-55440
Cash flow in year 1 to 7 = $8,400
Cash flow in year 8 = $8400 + $27,700
I = 8%
NPV = $7,797.22
To learn more about net present value, please check: https://brainly.com/question/13739943?referrer=searchResult
solve for x someone pls help
Answer:
50+90+3x+1=180.....................
3/2 (7/3x+1) = 3/2
Show work. (simple if possible)
Giving Brainliest.
Answer:
[tex]7/2x + 3/2 = 3/2 <=> x = 0[/tex]
Step-by-step explanation:
30 POINTS WILL MARK BRANLIEST FOR FIRST REPLY
find x using the pictures below
The left pic :
[tex]x = 46 \times \cos(70°) [/tex]
[tex]x = 46 \times 0.342[/tex]
[tex]x = 15.732[/tex]
_____________________________________________
The right pic :
[tex] \tan(18°) = \frac{15}{x} \\ [/tex]
[tex]0.325 = \frac{15}{x} \\ [/tex]
Thus :
[tex]x = \frac{15}{0.325} \\ [/tex]
[tex]x = 46.1538[/tex]
There u go ...
Have a great day ❤
If the area of rectangular plot is 200 cm and its length is 10 m. find out its breadth.
Answer:
The area of a rectangle is A=l x w.
So, 200=10 x w
Divide both sides by 10.
20 = w
The width of the rectangle is 20 m.
:)
Solve
-16+ 20
A. -36
B.-4
C. 4
D. 36
Answer:
C: 4
Step-by-step explanation:
We can rearrange the numbers:
[tex]-16+20=+20-16=20-16=4[/tex]
Answer:
C. 4
Step-by-step explanation:
-16+20 equals 4 becase:
-16 is under zero, and if we add 20 to that, it will take 16 of that 20 to fill up the negative part, and the rest part remaining will be 4. So that four will add up to be the positive number!
Thank You! Please Mark Me Brainliest!
On a map 1 inch equas 27 miles. How much is 3 inches
Answer:
3 × 27
=81
mark BRAINLIEST pls
A father wants to buy a total of five milk drinks for his son and spend $7.95. Eggnog costs $1.55 and a peanut punch costs $1.65. Determine the number of each milk drink bought
Answer:
2
Step-by-step explanation:
$ 1.55 + $1.65 = $3.11
the budget is $7.95
$7.95 ÷ $3.11 = 2.5 but since you can't get half a milk it's 2
how many times can 2 go into 67
fourth grade help
Answer:
Step-by-step explanation:
To answer this, divide 67 by 2, writing the answer as a mixed number:
67
---- = 33 1/2
2
thus, 2 can go into 67 33 times, keeping in mind that there's a remainder (1/2).
Complete the statement:
If AB, CD, then
a. AB - CD
b. AB = CD
C. ABCD
d. AB - CD
-
asap asnwerrrrrrrrrrrrrrrrrrrrrrrr
2. Suppose that you are looking for a student at your college who lives within five miles of you. You know that 55% of the 25,000 students do live within five miles of you. You randomly contact students from the college until one says he or she lives within five miles of you.
(a) What is the probability that you need to contact four people?
(b) How many students from the college you expect to contact until you find one lives within five miles of you?
(C) What is the standard deviation of the number of students to be contacted until one says who lives within five miles of you?
(d) Suppose you randomly ask 5 students at your college, what is the probability that 3 of them live within five miles of you?
(e) Suppose you randomly ask 5 students at your college, what is the expected number of students who live within five miles of you?
Using the binomial distribution, it is found that:
a) There is a 0.0501 = 5.01% probability that you need to contact four people.
b) You expect to contact 1.82 students until you find one who lives within five miles of you.
c) The standard deviation is of 1.22 students.
d) 0.3369 = 33.69% probability that 3 of them live within five miles of you.
e) It is expected that 2.75 students live within five miles of you.
For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
55% live within five miles, hence [tex]p = 0.55[/tex].Item a:
This probability is P(X = 0) when n = 3(none of the first three) multiplied by 0.55(the fourth does live within five miles), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]
[tex]p = 0.091125(0.55) = 0.0501[/tex]
0.0501 = 5.01% probability that you need to contact four people.
Item b:
The expected number of trials in the binomial distribution until q successes is given by:
[tex]E = \frac{q}{p}[/tex]
In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:
[tex]E = \frac{1}{0.55} = 1.82[/tex]
You expect to contact 1.82 students until you find one who lives within five miles of you.
Item c:
The standard deviation of the number of trials until q successes are found is given by:
[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]
Hence:
[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]
The standard deviation is of 1.22 students.
Item d:
This probability is P(X = 3) when n = 5, hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]
0.3369 = 33.69% probability that 3 of them live within five miles of you.
Item e:
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
Hence:
[tex]E(X) = 5(0.55) = 2,75[/tex]
It is expected that 2.75 students live within five miles of you.
A similar problem is given at https://brainly.com/question/25343741
Consider the following equation.
x+4y=14
Determine the missing coordinate in the ordered pair (−2,?) so that it will satisfy the given equation.
Explanation:
We plug in x = -2 and solve for y
x+4y = 14
-2+4y = 14
4y = 14+2
4y = 16
y = 16/4
y = 4
Therefore, the point (-2, 4) is on the line x+4y = 14.
A campus survey states that 40% of students ride the bus if there are 300 students how many ride the bus?
Answer: 180 students
Step-by-step explanation:
Find the equation of the line passing through the point (-5,2) with slope 1/3. Show work.
Hello!
First, let's write our equation in point-slope form.
Point-Slope Form:
y-y1=m(x-x1)
y1= the y-coordinate of the point
m=the slope
x=the x-coordinate of the point
y-2=1/3(x-(-5)
y-2=1/3(x+5)
y-2=1/3x+5/3
y=1/3x+5/3+2
y=1/3x+3.7
Hope it helps.
~A smiley teen
#CarryOnLearning
[tex]MagicalNature[/tex] here to help
Keisha is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $100 and allows unlimited mileage.
Company B has an initial fee of $55 and charges an additional $0.90 for every mile driven.
For what mileages will Company A charge less than Company B?
Answer:
The mileages for which company A charge less than company B when , y 50 .
Step-by-step explanation:
Given as :
The two truck companies have following prices
Company A
The initial fee = i = $110
And unlimited mileage
Company B
The initial fee = I = $65
Additional charge = $0.90 per mile driven
Let it driven x mile
Let The mileages for which company A charge less than company B = y
Now, According to question
Charges of company A = charges of company B
i.e i = I + 0.90 × x
Or, $110 = $65 + 0.90 × x
Or, $110 - $65 = 0.90 × x
Or, $45 = 0.90 × x
∴ x =
i.e x = 50
i.e. Company B driven x = 50 miles
So, the mileages for which company A charge less than company B = y
And y x
i.e. y 50
Hence, The mileages for which company A charge less than company B when, y 50. Answer
Step-by-step explanation:
Hope this helps:)
What is the mean absolute deviation of 6, 8, 2, 2?
Answer:
18/4 Is it correct?
Step-by-step explanation:
4.25
-
The sum of 2 and x is at least - 19.
2 + x = -19 <=> x = -19 -2 = -21
The radius of a circle measures 10 yards what is the circumference of the circle
Answer:
62.8 yards
Step-by-step explanation:
The circumference would just be equal to diameter*3.14, and the diameter is 2 times the radius. 2x10=20, and 20x3.14 would equal 62.8 yards.
Which value for x satisfies the equation 3x−6=15?
Answer:
x= 7
Step-by-step explanation:
1. Add 6 to both sides
2. simplify
3. Divide by the same term
4. simplify
Answer:
7
Step-by-step explanation:
3x7=21
= 21 - 6 = 15
I hope you find it helpful ..
Good luck
how do I do 2÷834
Fourth grade
Answer:
I honestly don't know why you are on this if your in 4th grade because this is for middle, high, and college school kids.
The answer is anyways 417
Answer:
2 divided by 834 is 1/417 or 417
Step By Step Explanation:
Why is a fourth-grader even on a website for middle, high school, and college...
Please Help, This is Due in 4 Hours.
At the deli counter, Dalton bought 0.38 of a pound of roast beef and 0.7 of a pound of ham. Compare the amounts of roast beef and ham that Dalton bought.
Record the comparison using the <, >, or = symbol and explain how you know.
Answer:
0.38 < 0.70
Step-by-step explanation:
The high temperatures for the first five days in December were as follows 28, 3, -2, -4 and 12. What is the average temperature.
Answer:
28 +3 +2+4+12=49
49÷5=9.8
You have three towels. The first towel is ¾ meters long. It is ⅗ the length of the second towel. The length of the third towel is 5/12 of the sum of the length of the first and the length of the second. What part of the length of the third towel is the length of the second?
Answer:
Step-by-step explanation:
Part of length of the third towel is the length of the second towel
Solution:
Given that You have towels of 3 sizes
Length of the first towel = meter
The length of one of them is equal to 3/4m, which makes up 3/5 of the length of the second.
Length of the first towel =
The length of the third towel makes up 5/12 of the lengths of the first 2.
To find: What part of the length of the third towel is the length of the second towel ?
Ratio of second to third towel length =
Thus 3/2 part of length of the third towel is the length of the second towel
) Which value is equivalent
[tex] {7}^{3} [/tex]
Answer:
343
Step-by-step explanation:
[tex]7^{3} = 7 * 7 * 7[/tex]
[tex]7^3 = 343[/tex]
-Chetan K
Look at the angle Z that is marked on the shape. Is this angle less than, more than or equal to a right angle?
Answer:
Less then a right angle
Step-by-step explanation:
It’s can’t be equal (looks at other examples of a right angle)
It can’t be more since that would bve more then a right angle and it certainly isnt more
it can only be less
1. Which of the following functions could match the graph shown below?
a. f(x)= 2x
b. f(x) = 2 + x
c. f(x) = x + 0.5
d. f(x) = 0.5x
2. If a car travels for 200 miles at a constant rate of 70 miles per hour, which equation below can NOT be used to find the travel time?
a. 20070=t
b. 70200=t
c. 20 = 7t
d. 200 = 70t
Which of the following situations could match this formula? (There may be more than one correct answer.)
500=100x
a. An object travels 500 feet for 100 seconds.
b. An object travels at 500 miles per hour for 100 hours.
c. An object travels 500 miles at a rate of 100 miles per hour.
d. An object travels 100 inches per minute for 500 minutes.
We want to answer different things regarding linear equations.
The answers are:
1) d2) b 3) a and c.1) We want to see which function matches the given graph.
So, we can see that this is a linear function, that passes through the origin, so the y-intercept is y = 0.
We also can see that it passes through the point (2, 1).
Then we have that:
1 = a*2 + 0
1/2 = 0.5 = a
So the linear equation is:
y = 0.5*x
Here the correct option is d.
2) We know the relation:
distance = speed*time
So any permutation of these values can be used to find the time.
Then the option that can not be used to find the travel time is:
b) 70/200 = t
Because in this case, we are taking:
speed/distance = time
And that is incorrect.
3) We have the formula:
500 = 100*x
Again, using:
Distance = speed*time
The options that are correct are the ones where 500 represents a distance and the 100 represents time or speed, then the correct options are:
a and c.
If you want to learn more, you can read:
https://brainly.com/question/2263981
Select the answer that describes the properties of a parallelogram.
Answer:
A is the correct answer because all sides are congurent
A parallelogram has two pairs of parallel sides.
opposite sides and opposite angles are congruent.
Option D is the correct answer.
We have,
Parallelograms have several notable properties:
Opposite sides are parallel:
In a parallelogram, opposite sides are parallel, meaning they never intersect and have the same slope.
Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths. This property applies to both pairs of opposite sides.
Opposite angles are congruent:
The opposite angles of a parallelogram have equal measures. This property applies to both pairs of opposite angles.
- Consecutive angles are supplementary.
- Diagonals bisect each other.
- Diagonals create congruent opposite triangles.
- Diagonals create equal opposite angles.
Thus,
A parallelogram has two pairs of parallel sides.
opposite sides and opposite angles are congruent.
Learn more about parallelograms here:
https://brainly.com/question/1563728
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A line is defined by the equation Y=2/3x-6 the line passes through a point whose y coordinate is 0 what is the x coordinate of this point
Answer:
x = 9
Step-by-step explanation:
y = (2/3)x - 6
y coordinate is 0
0 = (2/3)x - 6
Add 6 to both sides
6 = (2/3)x
multiply both sides by 3/2
9 = x
x = 9
Allison is buying two birthday cards for $5.78. Sales tax on the two cards is $0.38. Including sales tax, what is the cost of each card?
1. $2.89
2. $3.27
3. $3.80
4. $3.08
Answer:
1.$2.89
Step-by-step explanation:
1/3 off $ 0.38 $ 0.25
2 for 1 at $ 5.78 $ 2.89
Choose the equation that is best represented by the graph.
Answer:
D
Step-by-step explanation:
Because the y-intercept is -3