Answer:
The solution is given below
Step-by-step explanation:
The computation is shown below:
a. The profit margin is
= Operating income ÷ total sales
= $2,828,980 ÷ $23,380,000
= 12.1%
b. The investment turnover is
= Total sales ÷ total assets
= $23,380,000 ÷ $10,000,000
= 2.34
c. The return on investment is
= Profit margin × investment turnover
= 12.1% × 2.34
= 28.29%
d. The residual income is
= Operating income - (minimum rate of return × assets)
= $2,828,980 - (20% of $10,000,000)
= $828,980
The cost of 5 diesels is $1025. Calculate the cost of 17diesels
What is the area of the triangle in the diagram?
Answer:
B.
Step-by-step explanation:
the area of a triangle is
Area = baseline × height / 2
the baseline can be any of the 3 sides.
the height is then the perpendicular connection from the corner point opposite of the chosen line to the chosen line.
in this example the easiest approach would be to pick (x1,y1) to (x2,y1) as baseline, and the height would then be the piece of the y-axis from (0,0) to the baseline.
so, how long is the baseline ?
we need to calculate the difference between the coordinates of both corner points.
we have here an easy case, as both points have the same y value, so we only need to look at the difference in x.
baseline = x2 - x1
and the height is here simply (because of the special case) the difference of the baseline from (0,0) on the y-axis
height = y1
therefore, the area of the triangle is
Area = (x2-x1) × y1 / 2 = 1/2 × y1(x2-x1) = solution B
if the corner points and height are not so nicely aligned with the coordinate axis, then we need to calculate the distances by using Pythagoras to determine the "Hypotenuse" of the triangles created by the differences of the individual coordinates.
in our example
((x1,y1) to (x2,y1))² = (x2-x1)² + (y1-y1)² = (x2-x1)² + 0 = (x2-x1)²
and therefore
(x1,y1) to (x2,y1) = (x2-x1)
and we are back to our original solution.
NEED HELP END OF THE YEAR TEST
Graham was given the following function table.
What is the output if x=8?
Answer:
37
Step-by-step explanation:
+ 5 in the y column every row, so 8 would be 37
Answer:
37?
Step-by-step explanation:
2 7
3 12
4 17
5 22
6 27
7 32
8 37
Solve for the missing angle measures.
Answer:what were the anwsers
Step-by-step explanation:
In the diagram below, KL = 12 and LM = 8. Which additional facts would guarantee that JKLM is a parallelogram? Check all that apply K 12 8 A. JK = 12, and JM is parallel to KL B. JK = 8, JM = 8 C. JK = 8, and JK is parallel to LM D. JK = 8, JM = 12
Answer:
A. JK = 12, JK is parallel to LM
D. JK = 8, JM = 12
Step-by-step explanation:
Based on the given figure above, the additional facts that would guarantee that JKLM is a parallelogram are answers A and D.
By definition, a parallelogram is a figure that has opposite sides parallel or it has two pairs of sides that are parallel.
The additional facts that would guarantee that JKLM is a parallelogram are
JK = 8 and JM = 12.
Option B is the correct answer.
What is a parallelogram?Parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
In a parallelogram,
The opposite sides are parallel and so the sides are also equal.
Now,
KL and JM are parallel.
So,
KL = JM = 12
And,
KJ and LM are also parallel.
So,
KJ = LM = 8
Thus,
The additional facts that would guarantee that JKLM is a parallelogram are
JK = 8 and JM = 12.
Learn more about parallelograms here:
https://brainly.com/question/1563728
#SPJ7
Find the area of the regular polygon. Round to the nearest tenth
Help pls, the question is in the picture. I'm to lazy to do the math today. I hate math.
Answer:
C
Step-by-step explanation:
Both models represent half of the gymnasium, its just that one is vertical and one is horizontal. Both are basically correct. C is the right answer since it says both models are correct. Each class also does occupy 1/12 of the gymnasium since they get 1/6 of 1/2 of the gymnasium. Of means multiply so 1/6 * 1/2 = 1/12.
Alex and Thomas share 52 sweets. They divide them in the ratio 7:6. How many sweets does
Thomas have?
Answer:
24
Step-by-step explanation:
[tex]52 \times (6 \div (6 + 7)) = 4 \times 6 = 24[/tex]
Step-by-step explanation:
you first add the ratios 6+7= 13 then you divide the number of sweets by the total number of the ratio 52÷13=4 then you multiply the first ratio by the 4 you found 7×4=28 for Alex then by the second ratio 6×4=24
Help please i need this in less that 3 minutes. i just need the formula or what to do
Hello friend how are you♥♥♥♥♥♥
Answer:
b
1058.4 hope helpful answer
You are to play the following game of cards. Cards are worth their face value, Jacks, Queens and Kings are also worth 10 and Aces are worth 11. You pull precisely two cards from a standard deck and if their sum is at least 20, then you win the game and are given a prize of cash. It costs you $10 to play the game. At least how much should the prize be in order to make your expected winnings positive
Answer:
$82.875
Step-by-step explanation:
From the given information:
Assume F is used to denote the two cards;
If there are four aces among 52 playing cards, the chance of selecting the first ace is = [tex]\dfrac{4}{52}[/tex]
After selecting the first ace, we have only 3 aces remaining and a total of 51 playing cards. Thus, the chance of selecting the second ace will be [tex]\dfrac{3}{51}[/tex]
By applying product rule, we can determine the chance of selecting two aces without replacement as follows:
i.e.
[tex]P(F=22)=\dfrac{4}{52}\times \dfrac{3}{51}[/tex]
[tex]= \dfrac{1}{221}[/tex]
The probability of getting one ace, one face is:
[tex]P(F=21) =( \dfrac{4}{52}\times \dfrac{12}{51})+( \dfrac{12}{52}\times \dfrac{4}{51})[/tex]
[tex]P(F=21) = \dfrac{4}{221}\times\dfrac{4}{221}[/tex]
[tex]P(F=21) = \dfrac{8}{221}[/tex]
Since there are 4 aces, 4 nine, and 12 faces in a card deck
The probability of getting one ace, one nine, or two faces now will be:
[tex]P(F=20) = (\dfrac{4}{52} \times \dfrac{4}{51})+ (\dfrac{4}{52} \times \dfrac{4}{51}) + (\dfrac{12}{52} \times \dfrac{11}{51})[/tex]
[tex]P(F=20) = (\dfrac{53}{663} )[/tex]
Now, the probability of at least 20 now is:
[tex]\text{P(F at least 20)} = \dfrac{1}{221}+\dfrac{8}{221}+\dfrac{53}{663}[/tex]
[tex]\text{P(F at least 20)} = \dfrac{80}{663}[/tex]
If H represents the amount of prize of the expected winnings:
Then;
[tex](H - 10) (\dfrac{80}{663}) + (-10)(\dfrac{663-80}{663}) = 0[/tex]
[tex]\dfrac{80(H-10)}{663}-\dfrac{5830}{663}=0[/tex]
[tex]\dfrac{80(H-10)}{663}=\dfrac{5830}{663}[/tex]
80H - 800 = 5830
80H = 5830 +800
80H = 6630
H = 6630/80
H = $82.875
The prize should be $82.875 to make a winning positive.
What is the slope of this non-vertical line?
Answer:
m= -2 -3
Step-by-step explanation:
Consider the original triangle and the reduction.
A triangle has a base A and height 8 centimeters. Another triangle has a base of 3 centimeters and height of 4 centimeters.
What is the length of side A in centimeters?
6 cm.
Explanation:
Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.
The formula to find the area of a triangle is:
a
=
1
2
h
b
→
(
h = height
,
b= base
)
We know:
a
=
24
h
=
8
So we can substitute them in and find
b
:
24
=
1
2
(
8
)
b
Multiply by sides by 2 and then divide:
24
×
2
=
1
2
(
8
)
b
×
2
48
=
8
b
6
=
b
The base of the triangle is
6 cm.
ur welcome ♥️♥️
When I say I need I. NEED. HELP :|
Answer: 18
Step-by-step explanation: Number of pieces = length of ribbon (13 1/2 divided by 3/4) Convert the mixed into improper fraction = 27/2 Change division to multiplication 27/2 times 4/3 Cancel the 2's and the 3's
9 x 2 =18. Hope this helps!
The probability of picking a red marble from a bag is 38. If Sarah picks a marble from the bag 64 times (replacing the marble with each draw), how many times should she expect it to pick a red marble?
Which system of linear inequalities is shown in the graph?
y < x + 4
y ≤ -3x - 2
y > x + 4
y ≤ -3x - 2
y > x + 4
y ≥ -3x - 2
y < x + 4
y ≥ -3x - 2
Answer:
wait ill work this out for you
Step-by-step explanation:
Answer:
y <x+4
y >-3x - 2
which expression is equivalent to the given expression?
ln(2e/x)
ln2+ ln e -ln x
ln 2 + 1 - ln x
OPTION D is the correct answer
Question 13 of 47
What is the sum of the complex numbers below?
(5-8i) + (1-11i)
a. 6+19i
b. -6+19i
c. -6-19i
d. 6-19i
Answer:
d. 6-19i
Step-by-step explanation:
(5-8i)+(1-11i)
Step 1: Combine like terms within the parenthesis. There are no like terms within the parenthesis. So, drop the parenthesis and move on to the next step.
(Remember!! If you would have had a negative sign in front of either parenthesis, you would need to distribute out the negative sign).
5 - 8i + 1 - 11i
Step 2: Now add like terms.
5 + 1 - 8i - 11i
6 - 19i
You can't combine any more like terms, so this is your final answer.
6 - 19i
Can someone please help me?
Answer:
third and last one
Step-by-step explanation:
im pretty sure those are the answers i used a graphing calculator.
9514 1404 393
Answer:
C and E
Step-by-step explanation:
The rules of exponents apply:
(a^b)(a^c) = a^(b+c)
__
[tex]200(10^x)=20\cdot10^1\cdot10^x=\boxed{20(10^{x+1})}\\\\=2\cdot10^2\cdot10^x=\boxed{2(10^{x+2})}[/tex]
These match the 3rd (C) and last (E) choices.
Solve each equation for 0 ≤ θ 2π -2√2=-4sin 2θ
Answer:
Step-by-step explanation:
Begin by dividing both sides by -4 to get:
[tex]\frac{\sqrt{2} }{2}=sin2\theta[/tex] and then take the inverse sin of both sides to get
[tex]sin^{-1}(\frac{\sqrt{2} }{2})=2\theta[/tex] (the inverse sin undoes the sin on the right). Now we need to look on our unit circle to find the angles where [tex]sin(\frac{\sqrt{2} }{2})[/tex] is positive. There are 2 places. Sin is positive in both QI and QII. The angles are
[tex]\frac{\pi}{4},\frac{3\pi}{4}[/tex]. Therefore, our 2 equations are
[tex]\frac{\pi}{4}=2\theta[/tex] and [tex]\frac{3\pi}{4}=2\theta[/tex]. Solving the first equation:
[tex]\theta=\frac{\pi}{8}[/tex]
and the second equation:
[tex]\theta=\frac{3\pi}{8}[/tex]
find the square (3x+y)
Answer:
9x² + 6xy + y²
Step-by-step explanation:
(a + b)² = a² + 2ab + b²
a = 3x
b = y
(3x +y)² = (3x)² + 2*3x*y + y²
= 9x² + 6xy + y²
(3x)² = 3²*x² = 3*3*x² = 9x²
help me with this please.
9514 1404 393
Answer:
x ≈ 9.8
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
Filling in the given values gives ...
tan(59°) = x/5.9
Multiplying by 5.9, we have ...
x = 5.9×tan(59°) ≈ 9.8
Identify the quantifier in the statement as either universal or existential.
No men can join a sorority.
-The quantifier is universal.
-The quantifier is existential.
Answer:
The quantifier is universal.
Step-by-step explanation:
In logic, a universal quantifier is one in which it is made clear that the stated pattern holds in all cases for the stated quantity; whereas an existential quantifier establishes that the stated quantity is a minimum floor in which the stated pattern exists.
Thus, given that the guideline says that no man can integrate a sisterhood, this implies that the guideline applies in all cases for the stated quantity, thus it is a universal quantifier.
I would appreciate if someone could answer this :)
Answer:
x = 3
Step-by-step explanation:
(-2 + 40x) + 62° = 180° (adjacent angles are supplementary)
-2 + 40x + 62 = 180
Add like terms
40x + 60 = 180
Subtract 60 from each side
40x + 60 - 60 = 180 - 60
40x = 120
Divide both sides by 40
40x/40 = 120/40
x = 3
If the length of a sea turtle is
directly proportional to its age,
and a 2-year old sea turtle is 3
inches long, how many feet long
is a 50-year old sea turtle?
Answer:
6.25ft
Step-by-step explanation:
nine of 20 people surveyed preferred chocolate ice cream to vanilla ice cream . what percentage prefered chocolate ice cream? what fraction prefered vanilla ive cream
Answer:
percent: 45%
fraction: 11/20
Step-by-step explanation:
There are 10 students in a
class. How many different
ways can they line up?

he Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of the Thomas Supply Company Inc. invoices. 13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82 Click here for the Excel Data File (Round your answers to 2 decimal places.) Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile
Answer:
30.5 ; 49 ; 27 ; 50 ; 45
Step-by-step explanation:
Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile
Given the ordered data :
13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82
Sample size, n = 30
The first quartile ;Q1
Q1 = 1/4(n+1)th term
Q1 = 31/4 = 7.75th term
Q1 = (29+32)/2
Q1 = 30.5
Q3 ;
Q3 = 3/4(n+1)th term
Q3 = 3(31)/4 = 23.25 th term
Q3 = (48 + 50) /2 = 49
2nd decile :
0.2 * (nth term
0.2 * 30 = 6th term = 27
8th decile :
0.8 * 30 = 24 th term
= 50
67th percentile :
0.67 * (n+1)th term
0.67 * 31 = 20.77
= (44 + 46) / 2
= 45
Romeo is chucking pebbles gently up to Juliet's window, and he wants the pebbles to hit the window with only a horizontal component of velocity. He is standing at the edge of a rose garden 4.5m below her window and 5.0m from the base of the wall. How fast are the pebbles going when they hit her window?
Answer:
4.45 m/s
Step-by-step explanation:
Vertical distance, Sy = 5m
The speed of pebble when they hit her window :
Vx = Sx / t
We can obtain t using the relation :
Sy = 1/2 * at²
Where, a = acceleration due to gravity = 9.8m/s²
We can obtain t
5 = 1/2 * 9.8 * t²
5 = 4.9t²
t = √5/4.9
t = 1.01 seconds
Hence,
Speed, Vx = Sx / t
Vx = 4.5 / 1.01
Vx = 4.45 m/s
If f(x) = 8x and g(x) = 2x +1 find (f o g) (x)
Answer:
(fog) (x) = 8*(2x+1)=16x+8
Step-by-step explanation:
BRAINIEST AND 10 POINTS
Answer:
16
Step-by-step explanation:
just use a calculator
