Answer:
A frequency table is given below.
Step-by-step explanation:
Given the data
3,12,25,2,3,6,17,17,15,13,20,12,21,18,19
The frequency distribution table provides us a general snapshot of the data using which we may be able to find certain patterns.A frequency table is given by:
Class Count Percentage
0 - 6 4 26.7
7 - 13 3 20
14 - 20 6 40
21 - 27 2 13.3
Total 15 100
Letang Industrial Systems Company (LISC) is trying to decide between two different conveyor belt systems. System A costs $280,000, has a four-year life, and requires $85,000 in pretax annual operating costs. System B costs $360,000, has a six-year life, and requires $79,000 in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. Whichever project is chosen, it will not be replaced when it wears out. The tax rate is 23 percent and the discount rate is 10 percent.
We have to calculate the EAC for both the conveyor belt system.
Solutions :
Equivalent Annual Cost or (EAC) for the SYSTEM-A
[tex]$\text{Operating cash flow } = \text{Pre-tax annual operating cost (1-tax rate )} + (\text{depreciation expense} \times $[/tex]tax rate )
[tex]$=-855,000(1-0.23)+\left[\left(\frac{280,000}{4}\right)\times 0.23\right]$[/tex]
[tex]$= (-85,000 \times 0.77 ) + (70,000 \times 0.23)$[/tex]
= $ 49,350
Year Annual Cost flow Present value factor Present Value of Annual
at 10% cash flow
1 -49,350 0.909091 -44,863.64
2 -49,350 0.826446 -40,785.12
3 -49,350 0.751315 -37,077.39
4 -49,350 0.683013 -33,706.71
Total $ 3.169865 $ -156,432.86
Therefore, Net Present value = present value of the annual cash flow - initial investment.
= 156,432.86 - 280,000
= $ 436,432.86 (negative)
Now the EAC or the Equivalent Annual Cost for System A :
[tex]$\text{EAC}= \text{Net present value / (PVIFA 10 percent, 4 years)}$[/tex]
[tex]$=\frac{436,432.86}{3.169865}$[/tex]
[tex]$= 137,681.86 $[/tex] dollar (negative)
[tex]$\text{Operating cash flow } = \text{Pre-tax annual operating cost (1-tax rate )} + (\text{depreciation expense} \times $[/tex]tax rate)
[tex]$=79,000(1-0.23)+\left[\left(\frac{360,000}{6}\right) \times 0.23\right]$[/tex]
[tex]$=(-78,000 \times 0.77)+(60,000 \times 0.23)$[/tex]
= -$ 47,030
Year Annual Cost flow Present value factor Present Value of Annual
at 10% cash flow
1 -47,030 0.909091 -42,754.55
2 -47,030 0.826446 -38,867.77
3 -47,030 0.751315 -35,334.34
4 -47,030 0.683013 -32,122.12
5 -47,030 0.620921 -29,201.93
6 -47,030 0.564474 -26,547.21
Total $ 4.355261 $ -204,827.91
Net Present Value = Present Value of annual cash inflows – Initial Investment
[tex]$= 204,827.91 - 360,000$[/tex]
= -$ 564,827.91 (negative)
EAC for system B:
Equivalent Annual Cost for system B [tex]$=\frac{\text{net present value}}{\text{PVIFA 10 \text percent, 6 years}}$[/tex]
[tex]$=\frac{-564,827.91}{4.355261}$[/tex]
= -$129,688.66 (negative)
help needed please solve
Answer:
Step-by-step explanation:
a) Perimeter = sum of the length of the sides
= 13.4 +9.8 +12.3 +11.5
= 47 cm
b) Perimeter = 55.3 cm
11.5 + 15.7 +19.8 +x = 55.3
47 + x = 55.3
x = 55.3 - 47
x = 8.3 cm
c) Perimeter of regular hexagon = 67.5 cm
Length of one side = 67.5÷ 6
= 11.25 cm
d) Cost of 1 metre = $ 8.95
Cost of 7.5 metres = 8.95 * 7.5
= $ 67.125
Help please!!!
12x + 6y= 162
2x + 10y= 126
Solve using system of equations. Show all work
Answer:
(8, 11)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
12x + 6y = 162
2x + 10y = 126
Step 2: Simplify systems
2x + y = 27
x + 5y = 63
Step 3: Rewrite systems
2x + y = 27
x = 63 - 5y
Step 4: Solve for y
Substitute in x: 2(63 - 5y) + y = 27Distribute 2: 126 - 10y + y = 27Combine like terms: 126 - 9y = 27Isolate y term: -9y = -99Isolate y: y = 11Step 5: Solve for x
Define equation: x + 5y = 63Substitute in y: x + 5(11) = 63Multiply: x + 55 = 63Isolate x: x = 8Answer:
x = 8 and y = 11
Step-by-step explanation:
solve for y
12x + 6y = 162
-12x -12x
6y = 162 - 12x
/6 /6
y = 27 - 2x
substitute
2x + 10(y) = 126
2x + 10(27 - 2x) = 126
2x + 270 - 20x = 126
-18x + 270 = 126
-270 -270
-18x = -144
-18 -18
x = 8
substitute again:
y = 27 - 2(x)
y = 27 - 2(8)
y = 27 - 16
y = 11
plz answer...........................................................
Answer:
x ➡️ ×3 ➡️÷ 2 ➡️ - 4 ➡️ × 6 ➡️ 30
6⬅️ ÷3 ⬅️× 2 ⬅️ +4 ⬅️ ÷6 ⬅️ 30
x=6
Answer:
x=3.76 (3.7 recurring rounded to 2 decimal places)
x= [tex]\frac{34}{9}[/tex]
Step-by-step explanation:
You follow the simple steps of finding the value of a variable in an equation by doing PEMDAS/BOMDAS backwards
[tex]6(\frac{3x}{2}-4)=30[/tex]
[tex]6(\frac{3x}{2}-4+4)=30+4[/tex]
[tex]6(\frac{3x/3}{y})=\frac{34}{3}[/tex]
[tex]6(2\frac{x}{2})=2\times11.3 recurring[/tex]
[tex]\frac{6x}{6} = \frac{22.6}{6}[/tex]
[tex]x=3.76\\x=\frac{34}{9}[/tex]
Joes age is three times Arrons age. If the sum of their ages is 64, how old are Joe and Aaron
Answer:
Joe is 48 Aaron is 16
Step-by-step explanation:
64=3x+x
64=4x
64/4=16
16
16x3=48
Josh works for a construction company that uses 150 pounds of gravel for each driveway they pour. He can buy a dump truck load with 30,000 pounds of gravel or a pick-up truck load with 2,500 pounds. Which amount should he buy so that no gravel is left after all of the driveways are poured and why?
Answer:
Josh should by the dump truck with 30,000 pounds of gravel in it
Step-by-step explanation:
the easiest way to find this out is divide 30,000 and 2,500 by 150 and if the answer is a whole number, then you know that is the correct answer.
30,000/150 = 200
2,500/150 = 16.6666666666666
May I have brainliest please? :)
Which equation is the slope-intercept form of the line that passes through (1, 2) and is parallel to the graph of y=8/3
x?
HELP ASAP
Hi there!
[tex]\large\boxed{y = \frac{8}{3}x - \frac{2}{3}}[/tex]
A line parallel to y = 8/3x has a slope of 8/3, therefore:
Plug the given slope into the slope-intercept formula, along with the given coordinates to solve for the formula:
2 = 8/3(1) + b
2 = 8/3 + b
6/3 = 8/3 + b
6/3 - 8/3 = b
b = -2/3
Therefore, the equation in slope formula is:
y = 8/3x - 2/3
Is this table a function or not a function
Answer:
it is a function
Step-by-step explanation:
Answer:
NO It isn't a function
Step-by-step explanation:
To first find out if something is a function or not, you see is the any of the x values given are the same ans if they are, its automatically not a function. There are also other ways to find out if it is or isn't.
after giving 20% discount a fan is sold at Rs 12480 find its marked price
Answer:
14976
Step-by-step explanation:
20/100=0.2
12480*0.2=2496
12480+2496=14976
What is the value of x?
А.3
B.2
C.4
D.5
Alpha JKL has vertices J(-3,7), K(2,8), and L(-3, 12). Find the perimeter of AJKL to the nearest tenth.
Answer:
Alpha JKL has vertices J(-3,7), K(2,8), and L(-3, 12). Find ...brainly.com › Mathematics › High School
20 hours ago — Alpha JKL has vertices J(-3,7), K(2,8), and L(-3, 12). Find the perimeter of AJKL to the nearest tenth. - 18900060.
Step-by-step explanation:
One grade of tea costing $3.20 per pound is mixed with another grade costing $2 per pound to
make 20 lbs of a blend that will sell for $2.72 per pound. How much of the $2 tea is needed?
Answer:
12 of $3.2 grade is needed
Step-by-step explanation:
8)
x + 24 - 9x = -8
Solve the equation
Answer:
x=4
Step-by-step explanation:
jus answered this
Answer:
X= +4
Step-by-step explanation:
[tex] - 8x + 24 = - 8 \\ - 8x = - 32 \\ x = \frac{ - 32}{ - 8} = + 4[/tex]
Answer my math question I asked so many times I lost most of points by
i know that someone asked this question already but I'm kinda struggling to get it right tho, but could you guys give me a helping hand?
Answer:
B
Step-by-step explanation:
A: 42/2 = 21
B: 87.5/5 = 17.5
C: 147/7 = 21
only B is not 21
is 21.5 x 103 in scientific notation? Explain.
Answer:
Scientific Notation:21.5*10^3
Standard Notation:21,500
Step-by-step explanation:
Hello help me please
Answer:ED=9, DF=9sqrt3, and EF=18
Step-by-step explanation:30-60-90 triangle, a:short, asqrt3:longer, 2a:longest
m∠E=60°
If BCDE is congruent to OPOR , then De is congruent to
plz help me on this its due soon
Answer: -3
Step-by-step explanation: I just know this from my previous questions in math.
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3 x minus 5 = negative 2 x + 10?
Answer:
C. –15 = –5x
Step-by-step explanation:
I did the test
so i think the answer is 16 , but I'm not sure
Answer:
Im pretty sure its 16 but please for the love of god wait for someone else to answer
Is y = x^2 + 1 a function
43,425-125m+200m=45,000-150m
Solve For m
SHOW WORK
Answer:
its 1575/255 or 6.176470588
Step-by-step explanation:
A number is divided by 4, and the quotient is added to 3. The result is 24
Answer:
Step-by-step explanation:
24 - 3 = 21 • 4 = 84
a3 + b3 = (a + b)(a2 - ab + b2)
Use the identity of the sum of two cubes to factor 8q6r3 + 27s6t3.
what is a?
what is b?
Answer:
Factors of [tex]8q^6r^3 + 27s^6t^3[/tex] are [tex](2q^2r+3s^2t)(4q^4r2-12q^2rs^2t+9s^4t^2)[/tex]
a is [tex]2q^2r[/tex]
b is: [tex]3s^2t[/tex]
Step-by-step explanation:
We need to factor [tex]8q^6r^3 + 27s^6t^3[/tex]
[tex]8q^6r^3 + 27s^6t^3\\=(2q^2r)^3+(3s^2t)^3\\Applying \ formula: a^3 + b^3 = (a + b)(a^2 - ab + b^2)\\=(2q^2r+3s^2t)((2q^2r)^2-2(2q^2r)(3s^2t)+(3s^2t)^2)\\=(2q^2r+3s^2t)(4q^4r2-12q^2rs^2t+9s^4t^2)[/tex]
So, Factors of [tex]8q^6r^3 + 27s^6t^3[/tex] are [tex](2q^2r+3s^2t)(4q^4r2-12q^2rs^2t+9s^4t^2)[/tex]
What is a? a is [tex]2q^2r[/tex]
What is b? b is: [tex]3s^2t[/tex]
Answer:
The next answers for the page are 2, 3, 4, 9
Step-by-step explanation:
Find the the equation of the line passing through the points (3,3) and (4, 5)
Answer:
y = 2x - 3
Step-by-step explanation:
Given:
(3, 3) and (4, 5)
Solve:
Find the slope (m) between the two points:
m = (y2 - y1)/(y2 - 1)
(x1, y1) = (3, 3)
(x2, y2) = (4, 5)
m = (5 - 3)/(4 - 3)
= 2/1
m = 2
Slope-intercept form (y = mx + a):
y = 2x + a
To find a, plug in one of the points into the equation:
3 = 2(3) + a
3 = 6 + a
3 - 6 = a
a = -3
y = 2x - 3
In the diagram, which two angles must be supplementary with angle 6? 4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16; 9, 10, 11, 12. Angle 5 and Angle 7 Angle 1 and Angle 10 Angle 14 and Angle 16 Angle 7 and Angle 11
Answer:
The first one
Step-by-step explanation:
The peep above me is right.
The two angles must be supplementary with angles 6 will be 5 and 7.
What are lines and angles?An infinitely long row of evenly spaced dots that extends in both directions makes up a line. Its length is the only dimension it has. An illustration of a line is a horizontal mark made on a piece of paper. A figure made by two rays that intersect at the same endpoint is referred to as an angle.
Given that 4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16,
The supplementary angles to angle 6 are angle 5 and angle 7. Because two combinations of angles are having a sum of 180 degrees. The diagram is attached with the answer below.
To know more about lines and angles follow
brainly.com/question/25770607
#SPJ6
There are 3 green marbles and 15 blue marbles in a bag. What is the ratio of green marbles to total number of marbles?
Select all the equivalent ratios that represent this relationship.
03:15
1:6
02:12
1:5
03:18
2:10
Answer:
the ratio would be 03:18, 1:6, 2:12
Answer: I have the same problem exact same what grade are you in?
Step-by-step explanation:
can anyone help me with this?
complete the table of values of
f(x) = 3×
Answer:
See sample table below.
Step-by-step explanation:
The function is given as :
f(x) = 3ˣ
A table of values can be formed as ;
x calculations f(x)
-4 3⁻⁴ 0.0123
-3 3⁻³ 0.0370
-2 3⁻² 0.1111
-1 3⁻¹ 0.3333
0 3⁰ 1.000
1 3¹ 3.000
2 3² 9.000
3 3³ 27.00
4 3⁴ 81.00
Two different buses start their routes at the same corner at 9 A.M. Buses from one route stop at the library every 9 minutes. Buses from the other route stop at the library every 12 minutes. In what number of minutes will both buses end up at the library?
Answer: In 36 minutes both buses will end up at the library.
Step-by-step explanation:
Given: Buses from one route stop at the library every 9 minutes.
Buses from the other route stop at the library every 12 minutes.
The number of minutes in which both buses will end up at the library= LCM(9,12)
Now , 9= 3 x 3
12= 2 x 2 x 3
LCM(9,12) = 2 x 2 x 3 x 3 = 36