Name the property of 94+7=7+94
Answers
Answer:
commutative property of addition
Step-by-step explanation:
the commutative property is when you switch the order of numbers in an addition or multiplication operation
Related Questions
PLEASE HELP FAST I NEED IT DONE IS OVERDUE
Answers
Answer:
D. (7,5)
Step-by-step explanation:
Imagine a full parallelogram, complete the shape from there
hellpppppp asappppppp
Answers
Answer:
They are Similar (A)
Step-by-step explanation:
If you look at the points you can see that the shapes are the same
And get a new screen for your iPad
Find the missing angle using trigonometry
Answers
Answer:
please look at detailed answers below
Step-by-step explanation:
example 1 is correct.
example 2:
x = (12 sin 15) / sin 75 = 3.22.
example 3:
x/sin 90 = 19/sin (180 - 90 -36)
x = (19 sin 90) / sin 54
= 23.5
example 4:
x/sin 53 = 7/sin (180 -90 - 53)
x = (7 sin 53)/ sin
= 9.29
Are 4/5 and 7/8 equivalent? Which pair of number lines supports your answer
Answers
Answer:
b
Step-by-step explanation:
they aren't equivalent and 7/8 is greater than 4/5
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
Answers
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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If 1/4 of a pound costs $3,
how much is 1 pound?
Answers
Answer:
$12
Step-by-step explanation:
Answer: $12
Step-by-step explanation: 3x4=12
For certain workers, the mean wage is $6.50/hr, with a standard deviation of $0.75. If a worker is chosen at random, what is the probability that the worker's wage is between $6.25 and $8.25? Assume a normal distribution of wages.
Answers
To obtain the probability that the worker's wage is between $4.25 and $8.75 (assuming a normal distribution of wages) the following steps are necessary:
Step 1: Convert the wages given to a z-score using the following formula:
\(\begin{gathered} \Rightarrow z=\frac{wage-\operatorname{mean}\text{ wage}}{\text{standard deviation wage}} \\ O\text{therwise written as:} \\ z=\frac{x-\mu}{\sigma} \end{gathered}\)Step 2: Convert the $4.25 and $8.75 to their respective z-score using the mean of $6.50 and standard deviation of $0.75, as shown below:
\(\begin{gathered} z=\frac{wage-\operatorname{mean}\text{ wage}}{\text{standard deviation wage}} \\ \text{Thus, when wage is 4.25 dollars, we have:} \\ \Rightarrow z=\frac{4.25-6.5}{0.75}=-\frac{2.25}{0.75}=-3 \\ \text{Thus, when wage is 8.75 dollars, we have:} \\ \Rightarrow z=\frac{8.75-6.5}{0.75}=\frac{2.25}{0.75}=3 \end{gathered}\)Thus, we are to find the probability that the wages of the workers lie between the z-score of -3 and +3.
To do this, we have to refer to the normal distribution curve, shown below:
Step 3: We now interpret the graph as follows:
According to the graph, we can see that the 99.73% of the area of the curve lies between the z-scores of -3 and +3.
This means that the probability that the wages of the workers lie between the z-score of -3 and +3 (or that the worker's wage is between $4.25 and $8.75) is 99.73% or 0.9973
A shopkeeper had 4 handbags which were of the same cost price. He sold 3 of them at 40% more than the cost price. He sold the fourth handbag at cost price. He received $260 altogether. Find the cost price of each handbag.
Answers
Sabas Company has 40,000 shares of $100 par, 1% preferred stock and 100,000 shares of $50 par common stock issued and outstanding. The following amounts were distributed as dividends: Year 1: $50,000 Year 2: 90,000 Year 3: 130,000 Determine the dividends per share for preferred and common stock for each year. If an answer is zero, enter '0'. Round all answers to two decimal places.
Answers
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.
Preferred Stock:
Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares
Year 1:
Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25
Year 2:
Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25
Year 3:
Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25
Common Stock:
Dividends per share of common stock = Total dividends for common stock / Number of common shares
Year 1:
Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0
Year 2:
Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0
Year 3:
Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
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Fast please Solve 7 ÷ one half = ___.
Answers
Answer:
Can someone help me with this please i've been stuck on this question for 9 minutes. Solve 7 ÷1/2 = ___ Get the answers you need, now!
Step-by-step explanation:
In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Paul has scored 82 , 88 , and 87 on the first three. What range of scores on the fourth test will give Paul a C for the semester (an average between 70 and 79 , inclusive)? Assume that all test scores have a non-negative value.
Answers
Scores between 23 & 59 will give Paul a C for the semester (an average between 70 and 79).
The sum of the scores on the first three, hundred point tests
= 82 + 88 + 87 = 257.
The total score required in four 100-point tests to get an average score of 70 = 70X4= 280.
The total score required in four 100-point tests to get an average score of 79 = 79X4= 316.
Therefore, the score on the fourth test should be between (280-257) & (316-57) i.e, 23 & 59 to get an average score of 70 & 79.
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Creating a Function from a Mapping
The mapping shows a relationship between input and
output values.
Input
Activity
-5
SAING
2
40 Intro
Output
T? 7 NO
-3
-2
2
Which ordered pair could be removed to make this
relation a function?
O (-5,0)
-O (-1, -3)
O (4,-2)
O (6,-1)
Done
Answers
The ordered pair could be removed to make this relation a function is (4,-2).
What is an ordered pair?
An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
The numeric values in an ordered pair can be integers or fractions.
Here,
A function is when each input has one output. So, for every x there is one y. The x values can not repeat.
But in the given value x is repeating so the ordered pair (4, -2) can be removed.
Hence, the ordered pair could be removed to make this relation a function is (4,-2).
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Offered to refund some money if the tire fate to reach 30,000 mies before the tire needs to be replen Speholly, for tres with a time below 30.000 miles, Gear will refund a customer 11 per 100 miles short of 30,000
a. For each tires sold, what is the average cost of promotion (in $) (use at least 1,000 trials. Round answer to two decimal places.)
b. what is the probability that Grear will refund more than $25 for a tire? (use at least 1,000 trials. Round answer to three decimal places.)
Answers
Answer:
Step-by-step explanation:
The simulation model in excel and calculation of the answers is given below along with formulas:
Formula used for simulation of tire life in Excel range B2:B502 =NORMINV(RAND(),36500,5000)
Note: Once this formula is entered in all the cells in range B2:B502, copy these cells and paste as values, so that Goal seek function can work for part C
The triangle below is an equilateral triangle. Use the information givento match each side length and angle to the correct answer. Simplifyany radicals.
Answers
Equilateral Triangle : An equilateral triangle is a triangle that has all its sides equal in length. Also, the three angles of the equilateral triangle are congruent and equal to 60 degrees.
Triangle ABC is an equilateral triangle so,
All the sides are equal and the angles are of 60 degree
Angle A = Angle B= Angle D = 60
The line AC divides the triangle ABD into two equal parts So, the angle A also divided in two equal parts
Since:
\(\begin{gathered} \angle BAD=60 \\ \angle BAD\text{ divide into two equal parts that are :}\angle BAC,\text{ }\angle DAC \\ such\text{ that }\angle BAC=\angle DAC \\ As,\text{ }\angle BAD=\angle BAC+\angle DAC \\ 60=\angle DAC+\angle DAC \\ 60=a+a \\ 2a=60 \\ a=\frac{60}{2} \\ a=30 \\ So,m\angle a^{}=30^o \end{gathered}\)m
Since m beacuse ABD is an equilateral triangle
AC divide the triangle in two equal parts
So, the line segment BD is divided into two equal parts by the point C
So, BC = CD
From the given figure we have BC =4, CD=e
So, BC = CD = 4
CD = e = 4
e= 4
The length of the side BD = BC + CD
BD = 4 + e
BD = 4 + 4
BD = 8
Since the triangle ABD is an equilateral triangle all sides are equal :
So, AB = BD = DA
AB = 8 = DA
AB = 8 = c
c = 8
The line AC makes 90 degree to the line BD
Thus, the triangle ACD is a right angle triangle
Apply pythagoras theorem:
Pythagoras Theorem: In a right angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.
\(\text{Hypotenuse}^2=Base^2+Perpendicular^2\)In the given triangle ACD we have :
Hypotenuse AD = 8, base CD = 4,
Perpendicular AC =f
Substitute the value and solve for AC=f
\(\begin{gathered} \text{Hypotenuse}^2=Base^2+Perpendicular^2 \\ AD^2=CD^2+f^2 \\ 8^2=4^2+f^2 \\ 64=16+f^2 \\ f^2=64-16 \\ f^2=48 \\ f=\sqrt[]{48} \\ f=\sqrt[]{2\times2\times2\times2\times3} \\ f=\sqrt[]{2^2\times2^2\times3} \\ f=2\times2\sqrt[]{3} \\ f=4\sqrt[]{3} \end{gathered}\)f = 4 square root of 3
Answer :
m
m
c = 8
e= 4
f = 4 square root of 3
HELP AS SOON AS POSSIBLE PLEASE
Answers
A scatter plot, because it would show the association, or relationship, between the two variables
How to determine the most appropriate to construct for the dataFrom the question, we have the following parameters that can be used in our computation:
The table of values
To show the relationship and association between data values, the data values are best represented on a scatter plot
using the above as a guide, we have the following:
The most appropriate to construct for the data is (b)
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Here are the heights (in inches) of 12 students in a seminar. 71, 67, 62, 60, 70, 64, 68, 72, 58, 63, 60, 66 What is the percentage of these students who are shorter than 65 inches? 1% X 5
Answers
25% of the students in the seminar are shorter than 65 inches.
To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:
There are three students who are shorter than 65 inches: 62, 60, and 58.
Therefore, the percentage of students who are shorter than 65 inches is:
(3 students / 12 students) × 100% = 25%
Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.
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Mario is playing an online puzzle game. He has 50 points and earns 3 points
for each puzzle he solves correctly. He will advance to the intermediate level
if his score is over 80 points.
Answers
Answer:
I think there might be more to this question, but the answer I have is
3x + 50 > 80
Step-by-step explanation:
If he has 50 points, needs higher than 80 points to advance to the intermediate level and receives 3 points for every puzzle he solves correctly, he must multiply the 3 by something to add to 50 to get a total amount higher than 80. Thus, 3x + 50 > 80 is the appropriate answer. Have a good day!
Answer:
the answer is 50x + 3 >80
Step-by-step explanation:
-6x-(-8)=2
step by step
Answers
Equation/Question:
-6x-(-8)=2
Answer/Way I did it:
1. Remove parentheses.
-6x+8=2
2. Subtract 8 from both sides.
-6x=2-8
3. Simplify 2-8 to -6.
-6x=-6
4. Divide both sides by -6.
x=1
-------------
Checking:
Equation/Question:
−6x−(−8)=2
----------------------
1. Let x=1.
−6×1+8=2
2. Simplify -6×1 to −6.
-6+8=2
3. Simplify -6+8 to 2.
2=2
Done by NeighborhoodDealer
Simon bought bags of potting soil to plant flowers on his patio. A large bag contains of soil, a medium bag contains of soil, and a small bag contains of soil. If he buys one large bag, one medium bag, and two small bags of soil, how many pots can Simon fill?
Answers
Answer:
12
Step-by-step explanation:
1.7 Basil Yamey is setting up a new business. Before selling anything, he bought a van for £9,000; a
transportable market stall for £1,800; a computer for £280; and an inventory of goods for £11,200. Fie
did not pay in full for his inventory of goods and still owes £5,000 for them. Fie borrowed £8,000 from
Luca Pacioli. After the eventsjust described, and before trading starts, he has £900 cash in hand and
£6,300 in the bank. Calculate the amount of his capital.
Answers
Answer:
the amount of Basil Yamey's capital is £16,480.
Step-by-step explanation:
To calculate Basil Yamey's capital, we need to add up the value of his assets and subtract his liabilities.
The value of his assets is:
Van: £9,000
Market stall: £1,800
Computer: £280
Inventory of goods: £11,200
Cash in hand: £900
Money in the bank: £6,300
Total value of assets = £9,000 + £1,800 + £280 + £11,200 + £900 + £6,300 = £29,480
His liabilities are:
Amount still owed for inventory of goods: £5,000
Amount borrowed from Luca Pacioli: £8,000
Total liabilities = £5,000 + £8,000 = £13,000
Therefore, Basil Yamey's capital is:
Capital = Total value of assets - Total liabilities
Capital = £29,480 - £13,000 = £16,480
So the amount of Basil Yamey's capital is £16,480.
Answer:
Basil Yamey's capital is the total amount of money that he has invested in his business. This can be calculated as the sum of the cost of the assets that he has purchased, minus any outstanding debts, plus any cash or cash equivalents he has on hand.
The cost of the assets that Basil has purchased is:
£9,000 (van) + £1,800 (market stall) + £280 (computer) + £11,200 (inventory) = £21,280
He still owes £5,000 for the inventory, so the total cost of the assets minus the outstanding debt is:
£21,280 - £5,000 = £16,280
He borrowed £8,000, so the total amount of his capital is:
£16,280 + £8,000 = £24,280
He also has cash on hand and in the bank:
£900 (cash) + £6,300 (bank balance) = £7,200
So, Basil Yamey's total capital is £24,280 + £7,200 = £31,480.
Answers please I need it done ASAP
Answers
Answer:
1) 11^42. [. ( a^b)^c is a^bc]
2) 5^5. [a^b/a^c= a^(b-c)
3) 14^24
4) 3^10
Maria score 70% on a spelling test if there are 40 total words how many did he get right?
Answers
Answer:
28 words Maria got right
Step-by-step explanation:
70% of total words Maria got right
Therefore:
\(\frac{70}{100} *40= 28\)
Julia has 9 one pound bags of sand each a different color. For a art project she will use 1/8 lb of each bag of sand to create sand art jar. How much sand will be in the jar?
a. 8/9, b. 1/72, c. 1 1/9, d. 1 1/8
Answers
PLEASE HELP ILL MARK BRAINLIEST kellys farm has 8 chickens for every 3 cows and 2 pigs for every 5 cows. if kellys farm has 30 pigs how many chickens are on the farm
Answers
Answer:
Step-by-step explanation:
I was wondering what could be equivalent to \(( - 5 \times 4 {)}^{3} \)I have four possible answers that could be equivalent to the expression above that I've written down
}^{3} [/tex]I have four possible answers](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/Ajj3QejxpCaCouT9Er0X1LZNKP69j46z.png)
Answers
Given:
\((-5\times4)^3\)Apply the properties of exponents:
\((-5)^3\times4^3\)Answer: 2.
\((-5)^{3}\times4^{3}\)What is this answer plz
Answers
Answer:
3.15
Step-by-step explanation:
Divide the total of $6.30 with the 2 jars of peanut butter.
Veda solves the following system of linear equations by elimination. What is the value of x in the solution of the system
of equations?
6+4x-2y=0
-3-7y=10x
Answers
Answer:
work shown and pictured
Answer:
x= -1 y = 1
Step-by-step explanation:
Which statements are true about the graph of y < 2x+1? Check all that apply 3 The slope of the line is 1 The line is solid The area below the line is shaded. A solution to the inequality is (2, 3) The x-intercept of the boundary line is (-2, 0) Graph y
Answers
The statements that are true about the graph of y < 2x+1 include the following:
C. The area below the line is shaded.
D. A solution to the inequality is (2, 3).
What is an inequality?In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Based on the information provided, we have the following equation (inequality);
y < 2x + 1
The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).
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Write an equation of the line with the given slope and y-intercept.
Slope
1
6
, y−intercept (0, −2)
Answers
The equation of line is \(6y=6x$-$12\).
The given slope is \(\frac{1}{6}\).
The \(y $-$\)intercept is \((0, $-$2)\).
We have to write the equation of line using the given slope and \(y $-$\)intercept.
The equation of line with the slope m and \(y $-$\)intercept of \((0,a)\) is \(y=mx+a\).
From the question,
The value of \(m=\frac{1}{6}\)
The value of \(a= $-$2\)
Now putting the value of \(m\) and \(a\) in the equation of line.
\(y=\frac{1}{6}x+( $-$2)\\y=\frac{1}{6}x$-$2\)
Multiply by \(6\) on both side
\(y\times6=6\times(\frac{1}{6}x$-$2)\\6y=6\times\frac{1}{6}x$-$6\times2\\6y=6x$-$12\)
The equation of line is \(6y=6x$-$12\).
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Lou Barlow, a divisional manager for Sage Company, has an opportunity to manufacture and sell one of two new products for a five-year period. His annual pay raises are determined by his division’s return on investment (ROI), which has exceeded 22% each of the last three years. He has computed the cost and revenue estimates for each product as follows:
Product A Product B
Initial investment:
Cost of equipment (zero salvage value) $ 340,000 $ 540,000
Annual revenues and costs:
Sales revenues $ 380,000 $ 460,000
Variable expenses $ 170,000 $ 206,000
Depreciation expense $ 68,000 $ 108,000
Fixed out-of-pocket operating costs $ 86,000 $ 66,000
The company’s discount rate is 20%.
Required:
1. Calculate the payback period for each product.
2. Calculate the net present value for each product.
3. Calculate the internal rate of return for each product.
4. Calculate the profitability index for each product.
5. Calculate the simple rate of return for each product.
6a. For each measure, identify whether Product A or Product B is preferred.
6b. Based on the simple rate of return, which of the two products should Lou’s division accept?
Answers
The payback period for Product A is 2.21 years and the payback period for Product B is 1.85 years, NPV of A = $21,215 and NPV of B = -$50,256. Product A: IRR = 28.28%, Product B: IRR = 29.58%, A: PI = 1.00, B: PI = 0.91, A: SRR = 0.49 or 49%, B: SRR = 0.44 or 44%.
What is payback period?Payback period is a financial metric used to evaluate the time required to recover the initial investment made in a project or investment opportunity.
According to given information:To calculate the payback period, we need to find out how long it takes for the initial investment to be recovered by the annual cash inflows. We calculate the cumulative cash inflows for each year and determine in which year the cumulative cash inflows exceed the initial investment.
Product A:
Year 1: $380,000 - $170,000 - $68,000 - $86,000 = $56,000
Year 2: $380,000 - $170,000 - $68,000 - $86,000 = $56,000 + $56,000 = $112,000
Year 3: $380,000 - $170,000 - $68,000 - $86,000 = $56,000 + $112,000 = $168,000
Year 4: $380,000 - $170,000 - $68,000 - $86,000 = $56,000 + $168,000 = $224,000
Year 5: $380,000 - $170,000 - $68,000 - $86,000 = $56,000 + $224,000 = $280,000
The payback period for Product A is 2.21 years (rounded to two decimal places).
Product B:
Year 1: $460,000 - $206,000 - $108,000 - $66,000 = $80,000
Year 2: $460,000 - $206,000 - $108,000 - $66,000 = $80,000 + $80,000 = $160,000
Year 3: $460,000 - $206,000 - $108,000 - $66,000 = $80,000 + $160,000 = $240,000
Year 4: $460,000 - $206,000 - $108,000 - $66,000 = $80,000 + $240,000 = $320,000
Year 5: $460,000 - $206,000 - $108,000 - $66,000 = $80,000 + $320,000 = $400,000
The payback period for Product B is 1.85 years (rounded to two decimal places).
To calculate the net present value (NPV), we need to discount the cash inflows and outflows using the company’s discount rate of 20% and then subtract the initial investment.
Product A:
\(NPV = -$340,000 + ($56,000/(1+0.20)^1) + ($112,000/(1+0.20)^2) + ($168,000/(1+0.20)^3) + ($224,000/(1+0.20)^4) + ($280,000/(1+0.20)^5)\)
NPV = -$340,000 + $38,611 + $64,357 + $79,396 + $81,193 + $77,658
NPV = $21,215
Product B:
\(NPV = -$540,000 + ($80,000/(1+0.20)^1) + ($160,000/(1+0.20)^2) + ($240,000/(1+0.20)^3) + ($320,000/(1+0.20)^4) + ($400,000/(1+0.20)^5)\)
NPV = -$540,000 + $66,667 + $111,111 + $114,882 + $99,425 + $97,659
NPV = -$50,256
To calculate the internal rate of return (IRR), we need to find the discount rate that makes the NPV of the cash inflows and outflows equal to zero. We can use a financial calculator or spreadsheet software to solve for the IRR.
Product A: IRR = 28.28%
Product B: IRR = 29.58%
To calculate the profitability index (PI), we divide the present value of the future cash inflows by the initial investment.
Product A:
PV of future cash inflows = $38,611 + $64,357 + $79,396 + $81,193 + $77,658 = $341,215
PI = $341,215/$340,000
PI = 1.00
Product B:
PV of future cash inflows = $66,667 + $111,111 + $114,882 + $99,425 + $97,659 = $489,744
PI = $489,744/$540,000
PI = 0.91
To calculate the simple rate of return (SRR), we divide the average annual cash inflow by the initial investment.
Product A:
Average annual cash inflow = ($56,000 + $112,000 + $168,000 + $224,000 + $280,000)/5 = $168,000
SRR = $168,000/$340,000
SRR = 0.49 or 49%
Product B:
Average annual cash inflow = ($80,000 + $160,000 + $240,000 + $320,000 + $400,000)/5 = $240,000
SRR = $240,000/$540,000
SRR = 0.44 or 44%
6a.
Based on the payback period, Product B is preferred because it has a shorter payback period of 1.85 years compared to Product A’s payback period of 2.21 years.
Based on the net present value, Product A is preferred because it has a positive NPV of $21,215 compared to Product B’s negative NPV of -$50,256.
Based on the internal rate of return, Product B is preferred because it has a higher IRR of 29.58% compared to Product A’s IRR of 28.28%.
Based on the profitability index, Product A is preferred because it has a PI of 1.00, indicating that for every dollar invested, we receive one dollar in return. Product B has a PI of 0.91, indicating that for every dollar invested, we receive only $0.91 in return.
Based on the simple rate of return, Product A is preferred because it has a higher SRR of 49% compared to Product B’s SRR of 44%.
6b. Based on the simple rate of return, Lou’s division should accept Product A because it has a higher SRR of 49% compared to Product B’s SRR of 44%. However, other measures such as the net present value and internal rate of return suggest that Product A may not be the best choice.
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