Answer:
1.45 L
Step-by-step explanation:
why is l-8l>l2l even though -8,2
Answer:
the absolute value of (-8) is 8 and the absolute value of (2) is 2
so l-8l>l2l
Step-by-step explanation:
Crane Corporation is considering purchasing a new delivery truck. The new truck would cost $55,440. The new truck is expected to generate a cost savings of $7,700. At the end of 8 years, the company will sell the truck for an estimated $27,600.
Traditionally the company has used a rule of thumb that a proposal should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life. Larry Newton, a new manager, has suggested that the company should not rely solely on the payback approach, but should also employ the net present value method when evaluating new projects. The company's cost of capital is 8%.
a) Compute the cash payback period and net present value of the proposed investment.
b) Does the project meet the company's cash payback criteria?
c) Does it meet the net present value criteria for acceptance?
A. The payback period is 7.2 years. The net present value of the proposed investment is 3720.55.
B. No, the project does not meet the company's cash payback criteria.
C. Yes, the project does meet the net present value criteria for acceptance.
How do we solve for the net present value of the proposed investment?A. The truck costs $55,440 and generates annual cost savings of $7,700. So the payback period is the cost of the truck divided the expected amount the truck will generate.
$55,440 / $7,700 = 7.2 years
To solve for the net present value, we say
Net Present Value = ∑ [(Cash inflow in period t) / (1 + \(r^{t}\)] - Initial Investment.
NPV = (($7,700 / (1 + 0.08)¹) = 7 129.63
+ ($7,700 / (1 + 0.08)²) = 6601.51
+ .($7,700 / (1 + 0.08)³ = 6112.51
+ ($7,700 / (1 + 0.08)⁴) = 5659.73
+ ($7,700 / (1 + 0.08)⁵) = 5240.49
+ ($7,700 / (1 + 0.08)⁶) = 4 852.31
+ ($7,700 / (1 + 0.08)⁷) = 4492.88
+($7,700 / (1 + 0.08)⁸) = 4160.07
+ ($27,600 / (1 + 0.08)⁸)) = 14911.42
- $55,440
We add all these values together and subtract by $55,440
7 129.63 + 6601.51 + 6112.51 + 5659.73 + 5240.49 +4 852.31 + 4492.88 + 4160.07 + 14911.42 - $55,440
59160.55 - 55,440
NPV = 3720.55
B. The cash payback period of the project is 7.2 years. The company's cash payback criteria state that a project should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life, which would be 4 years which is 50% of 8 years. Since 7.2 years is greater than 4 years, the project does not meet the company's cash payback criteria.
C. The positive NPV of $3,720.55 shows that embarking on the prooject will be valuable to the company. This means the project meets the NPV criteria for acceptance.
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A police officer estimated the distance from one side of a street to the other to be 14m . The actual distance was 13.4.
Find the absolute error and the percent error of the police officer's estimate. If necessary, round your answers to the nearest tenth.
NO LINKS
Answer:
Part A. The absolute error is 0.2
Part B. The percent error is 1.45
Step-by-step explanation:
Hope this helps! :)
P.S I can tell that you have experience with the bots who ask you to go press a link. :)
I WILL GIVE BRAINLIEST IF YOU ARE CORRECT!!
A. The typical value and the spread are both greater in set B. B. The typical value and the spread are both greater in set A. C. The typical value is greater in set B. The spread is greater in set A. D. The typical value is greater in set A The spread is greater in set B.
Answer:
D. The typical value is greater in set A. The spread is greater in set B.
Step-by-step explanation:
The typical value is greater in set A.
[] We can see that the red arrow already shows this, but the average (add up all the numbers and divide by number or numbers) in set A is greater than in set B as 7 > 6.
The spread is greater in set B.
[] The spread can also be thought of as the range (largest number - smallest number) so the spread is greater than B since 7 > 3.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
I need help asap! Pleasee I need help
Answer:
Its B
Step-by-step explanation: i know this because i just took that test yesterday and got it right
What is the product?
2 3
5 9 -1 -7
11 5 -3
10 15 20
45 -5 -35
55
10
4 2
55
7
14
25 -15
45 -1 -7
315
+7 9
CO
8
9
4 1-2
Answer:
A.
Step-by-step explanation:
Hello, this is what we call matrix. multiplication matrix to be precised.
so it is;
5×2=10
5×3=15
5×4=20
5×9=45
5×-1= -5.
5×-7= -35
5×11=55
5×5=25
5×-3= -15.
i hope you understand. That is matrix for you but it has different categories
18 is the diameter , 9 is the radius , what is the area
Answer: The area of the circle with a radius of 9 is approximately 253.94 square units.
Step-by-step explanation:
The area of a circle is given by the formula A = πr^2, where A is the area, r is the radius, and π is approximately 3.14.
Given that the radius of the circle is 9, we can substitute this value into the formula to find the area:
A = πr^2 = π(9)^2 = 3.14 * 81 = 253.94
So the area of the circle with a radius of 9 is approximately 253.94 square units.
Note that the diameter of the circle is 18, which is twice the radius. If you knew the diameter you could also use the formula A = (π/4)*D^2 to calculate the area, where D is the diameter.
The sum of two times a number and 5 is greater or equal to 9
Answer:
greater than 9 is the answer
Step-by-step explanation:
2x+5=11
Triangle ABC was dilated and translated to form similar triangle A'B'C'.
On a coordinate plane, 2 triangles are shown. Triangle A B C has points (0, 2), (2, 2), and (2, 0). Triangle A prime B prime C prime has points (negative 4, negative 1), (1, negative 1), and (1, negative 6).
What is the scale factor of the dilation?
One-fifth
Two-fifths
Five-halves
5
Answer:
Dilation is done by the scale factor of Five-halves.
Step-by-step explanation:
Please refer to the image attached,
The graph clearly shows the triangles \(\triangle\)ABC and \(\triangle\)A'B'C'.
Let us calculate the sides of triangles first then we will be able to find scale factor of dilation.
Using the distance formula:
Distance between 2 points \(P (x_1,y_1) \text{ and } Q (x_2,y_2)\) is given by formula:
PQ = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Side AB is along x-axis, side AB =
\(\sqrt{(2-0)^2+(2-2)^2}\\\Rightarrow \sqrt{4}\\\Rightarrow 2\ units\)
Similarly side, BC = 2 units
Now, in \(\triangle\)A'B'C', A'B' can be calculated by distance formula:
\(\sqrt{(1+4)^2+(-1- (-1))^2}\\\Rightarrow \sqrt{25}\\\Rightarrow 5\ units\)
B'C' = 5 units
The ratio of sides:
AB : A'B' = 2:5
\(\Rightarrow \dfrac{AB}{A'B'} = \dfrac{2}{5}\\\Rightarrow A'B' = \dfrac{5}{2} AB\)
So, scaling factor is \(\dfrac{5}{2}\) or 2.5.
OR
Scaling factor is Five-halves.
Answer:
The answer is C on Edge.
Step-by-step explanation:
suppose that a test for opium use has a 2% false positive rate and a 5% false negative rate. that is, 2% of people who do not use opium test positive for opium and 5% of opium users test negative for opium. furthermore, suppose that 11% of people actually use opium.a) Find the probability that someone who tests negative for opium use does not use opium.b) Find the probability that someone who tests positive for opium use actually uses opium.
The probability that someone who tests positive for opium use actually uses opium is 0.854 .
In the question ,
it is given that , the false positivity rate is 2% .
Let the sample size be of 100 .
11% of the people actually use opium = 100*0.11 = 11.
People who do not use opium = 100 - 11 = 89.
the test for opium has a 2% false positive , that is
= 2% of 89 = 89*0.02 = 1.78
So , the True negative = 89-1.78 = 87.22
the test for opium has a 5% false negative , that is
= 5% of 11 = 11*0.05 = 0.55
So , the True positive = 11-0.55 = 10.45
Probability is calculated by favorable/total.
Total (positive) = true + false = 10.45 + 1.78 = 12.23 .
Favorable (true) = 10.45
Probability is = 10.45/12.23 = 0.854
Therefore , the required probability is 0.854 .
The given question is incomplete , the complete question is
Suppose that a test for opium use has a 2% false positive rate and a 5% false negative rate. that is, 2% of people who do not use opium test positive for opium and 5% of opium users test negative for opium. furthermore, suppose that 11% of people actually use opium.
Find the probability that someone who tests positive for opium use actually uses opium.
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A tank contains 1000 L of brine (salt water) with 15 kg of dissolved salt. Pure water enters the tank at a rate of 10 L/min. The solution is kept throughly mixed and drains from the tank at the same rate. How much salt is in the tank after t minutes
Answer:
\(y=15e^{e^{- \frac{t}{100}}}kg\)
Step-by-step explanation:
Let y(t) represent the amount of salt in the tank after t minutes. Therefore:
\(\frac{dy}{dt}=rate\ in-rate\ out\)
Pure water is entering at a rate of 10 L/min, therefore rate in = 0
The tank contains 1000 L of brine (salt water) with 15 kg of dissolved salt, and a mixed solution leaving at 10 L/min hence;
\(rate\ out = \frac{y(t)\ kg}{1000\ L}*10\ L/min= \frac{y(t)\ kg}{100\ min}\\\\Therefore:\\\\\frac{dy}{dt}=0- \frac{y(t)}{100} \\\\\frac{dy}{dt}=- \frac{y(t)}{100}\\\\\frac{dy}{y}=- \frac{1}{100}dt\\\\\int\limits{\frac{dy}{y}} =\int\limits- \frac{1}{100}dt\\\\lny=- \frac{t}{100}+C\\\\Taking\ exponetial\ of\ both\ sides:\\\\y=e^{- \frac{t}{100}+C}\\\\y=e^C.e^{- \frac{t}{100}}\\\\y=Ae^{- \frac{t}{100}}(A=e^C)\\\\at\ y=15kg, t=0\\\\15=Ae^{e^{- \frac{0}{100}}}\\\\A=15\\\\\)
\(y=15e^{e^{- \frac{t}{100}}}kg\)
What is the solution for the given equation?
4(x-1)-x=3(x+5)-11
Infinitely many solutions
X= 8
X= 0
No solution
Answer:
Infinitely many solutions
Step-by-step explanation:
Solve: 4(x-1)-x=3(x+5)-11
First distribute.
4x-4-x=3x+15-11
Comvine like terms.
3x=4=3x-4
Infinitely many solutions.
Hope this helps plz hit the crown :D
A house shaped like an octagon has a large porch, as shown. What is the area of the house
and the porch?
5 feet
5 feet
5 feet
5 feet
House
10 feet
15 feet
Porch
30 feet
875 square feet
775 square feet
825 square feet
800 square feet
Answer:875
Step-by-step explanation:
I know it
8. Determine the value of b for which x = 1 is a solution to the equation: 2x + 14 = 10x + b
Answer:
Here ,
the value of b = 6...
Which transformation
The following rigid transformations are done on each figure:
The figure B is the consequence of rotating figure A about the origin either 90° clockwise or 270° counterclockwise. (Correct choice: A)The figure B is the consequence of rotating figure A about the origin either 90° counterclockwise or 270° clockwise. (Correct choice: D)What kind of rigid transformation is done on the given figure?We find two pictures, each with one case of rigid transformation done on a polygon. Rigid transformations are transformations done on geometric loci such that Euclidean distance at every point of the loci are conserved.
If we consider that the Euclidean distance is the radial distance with respect to the origin of the Cartesian plane, then we find the rigid transformation corresponding to each case:
The figure B is the consequence of rotating figure A about the origin either 90° clockwise or 270° counterclockwise.The figure B is the consequence of rotating figure A about the origin either 90° counterclockwise or 270° clockwise.To learn more on rigid transformations: https://brainly.com/question/1761538
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PLEASE HELP————————-
HELP!!
Calculate the residuals for your scatterplot in step 2d.
In statistics, a residual is defined as the difference between the predicted value of an outcome variable and the observed value of that variable. Residuals are used to evaluate how well a regression model fits the data.In order to calculate the residuals for a scatterplot, follow these steps:
Step 1: Plot the data on a scatterplot.
Step 2: Perform a regression analysis on the data to find the equation of the regression line. This equation should take the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.
Step 3: Using the equation of the regression line, calculate the predicted value of y for each data point in the scatterplot.
Step 4: Subtract each predicted value of y from the actual value of y for each data point in the scatterplot. This difference is the residual for that data point.
Step 5: Plot the residuals on a new scatterplot. The x-axis of this scatterplot should be the independent variable, and the y-axis should be the residual values.
Step6: This scatterplot is called a residual plot.Residuals are useful for identifying patterns in data that the regression model fails to capture. If the residuals are randomly scattered around the horizontal axis, then the regression model is a good fit for the data. If there are clear patterns in the residual plot, then the regression model may not be a good fit for the data and further analysis is required.
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11. f(x) = x + 3, g(x) = -x + 2. Find (f + g)(x)
Answer:
(f + g)(x) = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x + 3
g(x) = -x + 2
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in function values: (f + g)(x) = x + 3 - x + 2[Subtraction] Combine like terms (x): (f + g)(x) = 3 + 2Add: (f + g)(x) = 5What change do you have to make to the graph of f (x) = 7x in order to graph the function g (x) = 7x+10?
To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.
To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.
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Which of the following would you see on a circle graph?
OA. Percentages
OB. Bars
C. Points
OD. A y-axis
A, percentages
You would see percentages on a circle graph, because it's how many parts of the whole that they take up.
Happy to help, have a great day! :)
Can someone help me?
Answer:
x = 12 efg = 132
Step-by-step explanation:
Hi,
4x = 48
x = 12
Which means...
m < EFG is
4x
4 (12) = 48
m < EFG is 48 degrees
I hope this helps :)
Nick's grandfather grows tomatoes in a section of his yard that is 4/5 meter long and 2/3 meter wide. What is the area of the tomato section?
Answer:
Multiply 4/5 by 2/3
Step-by-step explanation:
Answer:
8/15m^2
Step-by-step explanation:
Hello, to find the area of a rectangle, you take the width and the length and you multiply them together like this:
4/5 x 2/3= 8/15m^2
Don't forget the meters squared in your answer.
Find the area of the pentagon
PLS HELP MEEE 10 POINTS
Answer:
30
Step-by-step explanation:
\(1)\ A_1 = b * h = 4 * 5 = 20\ ft^2\)
\(2)\ A_2 = \frac{b*h}{2} = \frac{4*5}{2} = \frac{20}{2} = 10\ ft^2\)
\(3)\ A = A_1 + A_2 = 20 + 10 = 30\ ft^2\)
???????????????????????????????
Answer:
37.5
Step-by-step explanation:
150/4 divide it hope this helps
Does anyone know this answer??
Answer:
96.25%
Step-by-step explanation:
The empirical rule regarding mean and standard deviation is that
Around 68% of scores are between 40 and 60.Around 95% of scores are between 30 and 70.Around 99.7% of scores are between 20 and 80.Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find approximately 95/2 = 47.5% of the values
Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values
Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values
PLEASE FAST
What is the equation of the line containing the paints A and B?
a) y = - 3x + 4
b) y = 1/3x + 4
c) y = 3x + 4
d) y = - 1/3x + 4
The equation of the line containing the paints A and B is y = -1/3x + 4
How to determine the linear equation that represents the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(6, 2) and (0, 4)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 4
Using the other points, we have
6m + 4 = 2
So, we have
6m = -2
Evaluate
m = -1/3
So, we have
y = -1/3x + 4
As an equation, we have
y = -1/3x + 4
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Identify percent of change. 20 is decreased to 6.
Answer:
70%
Step-by-step explanation:
the formula for percent of change is:
New value - Old value divided by Old value
we can write this algebraically as:
(6-20)/20 which is -14/20
the negative simply implies a 'decrease' from old to new
14/20 equals 70/100 or 70%
Answer:
The answer to your question is 70% decrease
Step-by-step explanation:
I hope this helps and have a wonderful day!
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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Would any kind person like to help a confused teen :( Help plsss
Zoey read 2 books in 12 months. What was her rate of reading in books per month?
Answer:
6 months per books it's the answer