Answer:
The correct option is d. Project B.
Step-by-step explanation:
Note: See the attached excel file for the calculation of the Cumulative Cash Flows of Projects A and B.
Payback period refers to the number of time or period that is needed to recoup the amount of money spent a project. The
payback period rule states that when considering two or more projects, a project with the shortest payback period should be selected.
Payback period can be calculated as follows:
Payback period = Time before full recovery + (Unrecovered cost at start of the time of full recovery / Cash flow during the time of full recovery) ………………. (1)
Using the information in the excel file (in red color), equation (1) can be calculated for Project A and Project B as follows:
Project A payback period = 2 + ($1,000 / $3,000) = 2.33
Project B payback period = 2 + ($3,000 / $10,000) = 2.30
Since the payback period of Project B payback period which is 2.30 is lower than the Project A payback period of 2.33, Project B should be selected.
Therefore, the correct option is d. Project B.
A set of equations is given below:
Equation C: y = 7x + 12
Equation D:y=
= 7x + 2
Which of the following best describes the number of solutions to the given set of equations?
Answer:
The number of solutions to the given set of equations is 0.
Step-by-step explanation:
Number of solutions of a system of equations:
System of equations: ax = b
If a = 0 and b = 0, infinite solutions.
If a = 0 and b != 0, zero solutions.
If a != 0 and b != 0, one solution.
We are given the following system of equations:
y = 7x + 12
y = 7x + 2
So
7x + 12 = 7x + 2
7x - 7x = 2 - 12
0x = -10
a = 0, b != 0, so zero solutions.
The number of solutions to the given set of equations is 0.
(05.02)Find the measure of angle x in the figure below:
O 60° O 50° O 110° O 70°
Meiko is hanging a picture-collage on her wall. It is in the shape of a parallelogram. How much wall area will it cover?
A parallelogram has a base of 18 inches and a height of 28 inches.
156 in.2
252 in.2
504 in.2
576 in.2
Answer:
504 in.^2
Step-by-step explanation:
Area = base times height
Answer:
1,080 in.2
1,260 in.2
✔ 1,620 in.2
2,160 in.2
or C for the lazy people, don't sweat it - im lazy too
Figure A maps to figure B with a scale factor of 0.25
Answer:
x would be 6
Step-by-step explanation:
This is becuase since the scale factor from Fig A to B is 0.25, the length of all of the sides follows this rule.
Since x on Fig A and 1.5 on Fig B are corresponding sides, you can do:
x * 0.25 = 1.5
x * 0.25 (4) = 1.5 (4)
x * 1 =6
x = 6
Help me quickkkkkkk!!!!!!!!
Answer:
a) G
b) C
Step-by-step explanation:
Can someone tell me the answer
Answer:
-3
Step-by-step explanation:
(-6)/(+2)
-6/+2
-3
Answer:
C. -3
Step-by-step explanation:
If you have a negative and a positive number the outcome will always be negative. So you just simply take 6 and take half of it which is 3. if you divide something by 2 you are just splitting it in half.
PLS PLS PLS HELP I WILL MARK BRAINLIEST :)))
Answer:
28.3
Step-by-step explanation:
the formula for area is πr²
where π is 3.14
r is 3
area= 3.14 x 3²
area= 3.14 x 9
area= 28.28 approximately 28.3
Why are both of the answers to the last question correct?
the answer is : An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.
Answer:
An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.
Step-by-step explanation:
Answer:
An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.
Step-by-step explanation:
ASAP PLS HELP!!! Find the value of x
A)127
B)147
C)53
D)None of these answer
E)37
Answer:
should be C
Step-by-step explanation:
They are congruent
In the picture, the angle diagnoly across from the 4th angle is congruent (or equal to) the angle making 5 and that angle congruent.
1) Mike can run a miles in 12 minutes he starts his run at 11:30am and run 4miles what time dose mike finish his run
Help fast
Answer:
12:18
Step-by-step explanation:
12*4 = 48 minutes
Answer:
Mike stops running at 12:18 PM
Step-by-step explanation:
We know he runs 1 mile each 12 minutes and we also knows he ran 4 miles so the equation is 12*4 or (12 times 4) which is equal to 48. We then add 38 minutes to 11:30 AM and end up at 12:18 PM.
The question is in the photo, that answer is not correct. At least I do not know if it is.
Answer:
Step-by-step explanation:
To get the solution lying in the shaded region,
Justify the equation with the given options,
Option (1)
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
For (1, 1),
[tex]\frac{1^2}{16}+\frac{1^2}{4}\leq 1[/tex]
[tex]\frac{1}{16}+\frac{1}{4}\leq 1[/tex]
[tex]\frac{1+4}{16}\leq 1[/tex]
[tex]\frac{5}{16}\leq 1[/tex]
True.
Therefore, point (1, 1) justifies the equation.
Option (2)
For (4, 1),
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
[tex]\frac{4^2}{16}+\frac{1^2}{4}\leq 1[/tex]
[tex]1+\frac{1}{4}\leq 1[/tex]
[tex]1\frac{1}{4}\leq 1[/tex]
False.
Therefore, point (4, 1) doesn't justify the equation.
Option (3)
For (-1, 2),
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
[tex]\frac{(-1)^2}{16}+\frac{(2)^2}{4}\leq 1[/tex]
[tex]\frac{1}{16}+1\leq 1[/tex]
[tex]1\frac{1}{16}\leq 1[/tex]
False.
Therefore, point (-1, 2) doesn't justify the equation.
Option (4)
For (2, -2),
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
[tex]\frac{2^2}{16}+\frac{(-2)^2}{4}\leq 1[/tex]
[tex]\frac{1}{4}+1\leq 1[/tex]
[tex]1\frac{1}{4}\leq 1[/tex]
False.
Therefore, point (2, -2) doesn't justify the equation.
Option (1) will be the answer.
Find the values of the variables
Answer:
[tex]x = 7[/tex]
[tex]y =16[/tex]
Step-by-step explanation:
Given
The attached image
Required
Find x and y
From the sign on each line, we have:
[tex]y - 4 = x + 5[/tex]
[tex]2x + 5 = x + 12[/tex]
Collect like terms
[tex]2x-x=12 - 5[/tex]
[tex]x = 7[/tex]
We have: [tex]y - 4 = x + 5[/tex]
Substitute [tex]x = 7[/tex]
[tex]y - 4 = 7+5[/tex]
[tex]y - 4 = 12[/tex]
So:
[tex]y = 12+4[/tex]
[tex]y =16[/tex]
Brenda recorded the amount of time it took to cook potatoes in a microwave.
Are the data proportional? How do you know?
Answer:
Yes. As we can see, there is a clear pattern for what we see. For every potato, we have to cook it for an extra 5 minutes. Thus, as the data is constant in the pattern, it is proportional.
Answer:
Yes, the data is proportional. We know this because, in each scenario, the input is multiplied by 5 to produce the output.
Step-by-step explanation:
2 × 5 = 10
3 × 5 = 15
5 × 5 = 25
Solve each equation. Please help
Answer:
x = 14
Step-by-step explanation:
Pleaseeeeeeeeee helppppp
Nikki had swim practice 4 days this
week. She swam 425 yards Monday and
450 yards Tuesday. She swam 100 less
yards Wednesday than she did Tuesday.
If Nikki swam 1,600 yards in all, how
many yards did she swim on Thursday?
Nikki swam 375 yards on Thursday.
what is addition?One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them.
Given
Nikki swam 375 yards on Thursday.
425+450+350= 1,225
1,600- 1,225= 375
To learn more about addition refer to:
https://brainly.com/question/4721701
#SPJ2
Ben rents a car for one day. The charge is $20 plus the $0.12 per mile. He wants to
Spend exactly $80. How many miles can he drive?
Answer: 0
Step-by-step explanation:
Answer:
500 miles
Step-by-step explanation:
20 + .12m = 80
.12m = 60
m = 60/.12
m = 500
Write a equation that will represent the information.
Answer:
consider r to be x. and t to be y
[tex]consider : (0, 5) \: and \: (1, 3) \\ gradient = \frac{(3 - 5)}{(1 - 0)} \\ = - 2 \\ y = mx + c \\ consinder : (1, 3) \\ 3 = ( - 2 \times 1) + c \\ c = 5 \\ therefore : equation \: is \\ = > y + 2x - 5 = 0[/tex]
The population of the world in 1987 was 5 billion and the growth rate was estimated at3 percent per year.the population size (in billions) can be modeled by the formula A = 5(1.03)t where t is the number of years after 1987. Find the projected world population in 1995 . Give your answer in terms of billions of people.
Answer:
6.3 billion people
Step-by-step explanation:
[tex]A=5(1.03)^t[/tex]
The "base year" is 1987 when there were 5 billion people. That year corresponds to t = 0 (t measures years after 1987)
That makes 1995 = 1995 - 1987 = 8, so t = 8.
Evaluate [tex]A=5(1.03)^8 \approx 6.3[/tex]
please i need help fast with explantion
9514 1404 393
Answer:
60°
Step-by-step explanation:
You recognize the ratio of the long side to the short side as 2 : 1, so you know this is the 1 : √3 : 2 "special" triangle that has angles 30°, 60°, 90°. The angle of interest is opposite the longer side, so is the 60° angle.
x° = 60°
_____
In case you don't remember the "special" 30-60-90 and 45-45-90 right triangles, you can use the relevant trig function:
Cos = Adjacent/Hypotenuse
cos(x°) = 16/32 = 1/2
x° = arccos(1/2)
x° = 60°
Max wants to start a farm to grow mussels. He needs to determine the best environment for growing them. He is going to try two different amounts of salt in the water (salinity) and three different water temperatures. For his experiment he has 18 aquariums, each with 20 mussels. He wants to see which environment produces the largest mussels.
1. Identify the subjects.
2. Identify the factors and levels.
3. Identify the treatments.
4. Identify the response variable.
5. Describe an advantage to random assignment of treatment.
6. Explain how replication would be used in this study.
7. Someone suggested that Max arrange the tanks so that six with the lowest temperature are on one end of the room, and the six with the highest temperature are at the other end of the room. Explain how this could introduce confounding into the experiment.
8. Would it make sense to have a control group that did not get any of the treatments described above?
Answer:
1.) Subject = 18 Aquariums each with mussel
2.) Factors(levels) = temperature(3 levels) and salinity (2 levels)
3.) Treatment = High salinity high temperature ; High salinity low temperature ; High Salinity medium temperature ; Low salinity Low temperature ; Low salinity, High temperature ; Low salinity Medium temperature.
4.) Response variable = size of mussel produced
5.) Random assignment will help prevent the introduction of bias and confounding variable.
6.) For replication purpose, Each of the six treatment could be assigned to 3 tanks, so 3 aquarium for one treatment.
7.) By doing such we might be a possible location based effect which might might creep into our research. Hence, causing a spurious relationship.
8.) A control experiment whereby no salt is added will cause the mussel to die as they require salt to survive.
Step-by-step explanation:
Answers are Explanatory.
Given that A, O & B lie on a straight line segment, evaluate
x
.
Answer:
Step-by-step explanation:
It is the same way:
we know that
if A , O and B lie on a straight line segment
then
∡AOY+∡YOZ+∡ZOB=180°
so
3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°
the answer is
x=36°
please mark me as brainliest
What's the translation notation from JKL to J'K'L?
Answer:
1 up 2 right or y+1 and x+2
Step-by-step explanation:
Which equation represents a line which is parallel to the y-axis?
a) x= 1/4y
b) x= -7
c) y= 2
d) y= x
Answer:
b) x = -7
Step-by-step explanation:
x = -7 is a vertical line
vertical lines are parallel to the y axis
Solve for x. Show your work.
Question 1 of 10
Which best describes the meaning of the statement "If A, then B?
A. If A is false, then B must be false.
B. If A is false, then B might be false.
ОО ОО
C. If A is true, then B might be true.
D. If A is true, then B must be true.
SUBMIT
Answer:
I believe it would be D
Step-by-step explanation:
Since it implies that if A is true, then B is true, it would be D.
"If A" implies that it can be both true or false, but "then B" implies that it must be B if A is true.
Hence my choice of D.
Which ordered pair is a solution of the system
x + 2y < -2 and y <-3x + 4
Where's the system? I can't answer your question without it.
Which angle measure is equivalent to the angle 17π/4
A. 45 degrees
B. 135 degrees
C. 230 degrees
D. 315 degrees
Answer:
A is correct
Step-by-step explanation:
17*180=3060
3060/4= 765
765-360=405-360=45
Which transformations will map the figure onto itself?
a. reflection across one of the lines of symmetry of the figure.
b. rotation of 180 degrees about the center of the figure.
c. translation of two units to the left and two units down.
d. rotation of 90 degrees about the center of the figure.
Answer:
a. reflection across one of the lines of symmetry of the figure.
Step-by-step explanation:
How many arc degrees are in the minor arc?
- 32.5 degrees
- 65 degrees
- 115 degrees
- not here
Answer:
115°
Step-by-step explanation:
x =180-65=115°
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