The company's EPS for Year 8 would be $2.50 and its retained earnings for Year 8 would be $20 million
How do we calculate EPS and retained earnings?Note: The options for the questions are as follows:
A. the company's total earnings for Year 8 would be $10 million (net income of $50 million less interest costs of $10 million less dividend payments of $30 million = $10 million).
B. the company's EPS for Year 8 would be $2.50 and its retained earnings for Year 8 would be $20 million (net income of $50 million less dividend payments of $30 million).
C. the company's credit rating would be no less than an A because operating profit is seven times higher than annual interest costs.
D. the company's EPS for Year 8 would be $5.50 and its retained earnings for Year 8 would be $10million (net income of $50 million less interest costs of $10 million less dividend payments of $30million).
E. the company's EPS for Year 8 would be $1.50 (operating profit of $70 million less interest costs of$10 million, less dividend payments of $30 million= $30 million divided by 20 million shares).
The question can now be answered as follows:
From the question, we can calculate the following:
EPS = Net income / Number of shares of common stock outstanding = $50 million / 20 million = $2.50
Dividend payments = Number of shares of common stock outstanding * Dividend per share = 20 million * $1. 50 = $30 million
Retained earnings = Net income - Dividend payments = $50 million - $30 million = $20million
Therefore, the correct option is B. the company's EPS for Year 8 would be $2.50 and its retained earnings for Year 8 would be $20 million (net income of $50 million less dividend payments of $30 million).
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which of the following are accepted without proof in a logical system?check all that apply
a. postulates
b. theorems
c. conjectures
d. axioms
B postulates and C axioms are accepted without proof in a logical system.
What is Theorem?A theorem is a statement that can be proven true using standard mathematical operations and reasoning. A theorem, in general, is an embodiment of a general principle that is part of a larger theory. A proof is the process of demonstrating that a theorem is correct.
A conjecture is a proposition or conclusion based on insufficient knowledge for which no demanding proof exists.A statement that is said to be universal truth is referred to as an axiom.A postulate is a proposition that is said to be true in the absence of logical proof.A theorem is a statement with a logical proof that relies on previously confirmed statements.Learn more about theorem here:
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It’s just fill in the blank please help LOL
Answer and explanation:
vertex: (3,25) The vertex is the minimum/maximum of a parabola where the direction it's moving in changes. For this question, that point is (3,25).
zeroes: x=6 and x=0 The zeroes of an equation are the points that y=0. Since it doesn't look like they want the full coordinate points, I would list x=6 for the point (6,0) and x=0 for the point (0,0).
y-intercept: x=0 The y-intercept is the point at which the graph crosses the y-axis, which here happens at (0,0), or x=0.
Highest point: 25 The highest point is the maximum of the graph, meaning it's the highest y-value that the graph has. Here, this is 25 (it's also the y-value for the vertex).
Time: 3 seconds The time it takes for Simon to reach the highest point is just the x-value of the vertex, so 3.
Total air time: 6 seconds This value is the total time that the y-value of the graph is above 0. To find this, you must subtract the x-values of the zeroes from each other. Since 6-0=0, Simon is in the air for 6 total seconds.
Hope this helps! :)
help me, please ist question 1
Answer:
432
Step-by-step explanation:
To find the volume of a rectangular prism you multiply, L × W × H
L = 6 W = 8 H =9 you plug that in 6 × 8 × 9= 432
so the volume is 432in²
Evaluate:
[tex]\bf{\sum^{10}_{n-1}\:8(\cfrac{1}{4})^{n-1}[/tex]
[tex]\bf{\overline{\underline{\overline{\underline{Please\:show\;work!}}}}[/tex]
Let S be the given sum, so
[tex]S = 8 + 8 \left(\dfrac14\right) + 8 \left(\dfrac14\right)^2 + \cdots + 8 \left(\dfrac14\right)^9[/tex]
[tex]\displaystyle S = 8 \left(1 + \dfrac14 + \frac1{4^2} + \cdots + \frac1{4^9}\right)[/tex]
Multiply both sides by 1/4.
[tex]\displaystyle \frac S4 = 8 \left(\frac14 + \frac1{4^2} + \frac1{4^3} + \cdots + \frac1{4^{10}}\right)[/tex]
Subtract this from S to eliminate all the but the first term in S and the last term in S/4 :
[tex]\displaystyle S - \frac S4 = 8 \left(1 - \frac1{4^{10}}\right)[/tex]
Solve for S :
[tex]\displaystyle \frac{3S}4 = 8 \left(1 - \frac1{4^{10}}\right)[/tex]
[tex]\displaystyle S = \frac{32}3 \left(1 - \frac1{4^{10}}\right) = \boxed{\frac{349,525}{32,768}}[/tex]
what is Simplify 6.920.
Answer:
6 23/25
Step-by-step explanation:
[tex]0.92\\\\\frac{0.92\cdot \:100}{100}\\\\=\frac{92}{100}\\\\= \frac{4\cdot \:23}{4\cdot \:25}\\\\=\frac{23}{25}\\\\= 6+\frac{23}{25}\\\\=6\frac{23}{25}[/tex]
Select the correct answer.
A mistake was made in the steps shown to simplify the expression. Which step includes the mistake?
+3(41)
7+2³
Step 1: =
=
+ 3(3) - 7 + 23
Step 2:
=
+3(3) - 7 + 8
Step 3: =
(3) - 7+8
Step 4: =
Step 5: = 31+8
Step 6: =
= 47
A.
Step 4
B.
Step 1
C.
Step 5
D. Step 3
The mistake made in the step 3 option(D) step 3 is correct and the simplification form of the expression is 29/2,
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
The question is incomplete.
The complete question is in the picture please refer to the picture.
We have given an arithmetic expression:
[tex]=\dfrac{9}{2}+3\left(4-1\right)-7+2^3[/tex]
Step 1:
[tex]=\dfrac{9}{2}+3(3)-7+2^3[/tex]
Step 2:
[tex]=\dfrac{9}{2}+3(3)-7+8[/tex]
Step 3 should be:
[tex]=\dfrac{9}{2}(3)-7+8[/tex]
The mistake made in the step 3
Thus, the mistake made in the step 3 option(D) step 3 is correct and the simplification form of the expression is 29/2,
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What is 5829×3782?
I will give you brainliest for right answer
Answer:
22045278
Step-by-step explanation:
5 8 2 9
3 7 8 2
11 6 5 8
4 6 6 3 2 0
4 0 8 0 3 0 0
1 7 4 8 7 0 0 0
2 2 0 4 5 2 7 8
Answer:
22045278
Step-by-step explanation:
It seems tricky, but if you break it down step by step it will make it a lot easier.
Hope it helped and you can do it!!
help me thank you ill give brainlyies
Answer:
-5 degrees is colder than -3 degrees farienheight.
Step-by-step explanation:
Let's take this and eliminate every answer-
"The lowest temperature is -3 degrees."
-5 is lower than -3.
"The highest temperature is -5 degrees."
-5 degrees is the lowest temperature, not the highest!
"-5 is warmer than 3 degrees."
-5 is the LOWEST TEMPERATURE.
This leaves us with "-5 is colder than -3 degrees," which is correct because -5 is the smallest temperature and therefore, it is the coldest.
the atlanta braves are offering bobblehead to every 10th person who enters your fundraiser. the nashville predators are offering a free ticket to every 15th person who enters the fundraiser. how many attendees must come before someone receives both bobblehead and a ticket?
In this situation, attendee number thirty will be the first one o receive both the bobblehead and the ticket.
Which attendees will receive the bobblehead and the ticket?Bobblehead:
Attendee number 10Attendee number 20Attendee number 30Ticket:
Attendee number 15Attendee number 30What can be concluded?It can be concluded the attendee number 30 will be the first one to receive both the ticket and the bobblehead.
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In trapezoid ABCD, Line AB is parallel to CD. If AE=5.2, AC=11.7 and CD=10.5, what is the length of AB to the nearest tenth?
In trapezoid ABCD ,length of AB is equals to 8.4units(nearest tenth).
What is trapezoid?" Trapezoid is defined as the quadrilateral whose one pair of opposite side is parallel."
According to the question,
Given
Length of AE=5.2
Length of AC=11.7
Length of CD=10.5
As shown in figure
In trapezoid ABCD,
AB is parallel to CD, AC is the transversal.
AC and BD intersect at point E.
In ΔABE and ΔCDE,
∠BAE ≅∠ECD
∠ABE ≅∠EDC
By AA theorem,
ΔABE ~ ΔCDE
Therefore,
[tex]\frac{AE}{EC}=\frac{AB}{CD}[/tex]
AE + EC = AC
⇒ 5.2 + EC = 11.7
⇒ EC = 11.7 - 5.2
⇒ EC = 6.5units
Substitute the value in the given proportion we get,
[tex]\frac{5.2}{6.5}=\frac{AB}{10.5}[/tex]
⇒ [tex]AB = \frac{(10.5)(5.2)}{6.5}[/tex]
⇒[tex]AB = 8.4[/tex] units
Hence, in trapezoid ABCD ,length of AB is equals to 8.4units(nearest tenth).
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A survey asked 20 mobile phone dealers how many mobile phones were sold during the previous week. Their answers are displayed in the Box-and-Whisker Plot and the Stem-and-Leaf Plot shown. Which graph can be used to find the mode? What is the mode of the data set? A. Stem-and-Leaf Plot, Mode: 34 B. Stem-and-Leaf Plot, Mode: 42 C. Box-and-Whisker Plot, Mode: 43 D. Box-and-Whisker Plot, Mode: 38
ASAP 100 POINT AND BRAINLIST
The best type of chart for quickly deriving the mode of a sample data is called the Stem-and-Leaf Plot.
What is a Stem-and-Leap Plot?
In statistics, the Stem-and-Leaf Plot is an easy-to-make easy-to-read kind of graph that is derived from the table holding the sample data.
The Box-and-Whisker Plot on the other hand is best for visually depicting the five-number summary of any set of data, which are:
MinimumFirst QuartileMedian (Second Quartile) Third Quartile; andMaximum.It is to be noted that referenced plots are not indicated hence, the general answer.
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The best type of chart for quickly deriving the mode of a sample data is called the Stem-and-Leaf Plot.
What is a Stem-and-Leap Plot?
In statistics, the Stem-and-Leaf Plot is an easy-to-make easy-to-read kind of graph that is derived from the table holding the sample data.
The Box-and-Whisker Plot on the other hand is best for visually depicting the five-number summary of any set of data, which are:
Minimum
First Quartile
Median (Second Quartile)
Third Quartile; and
Maximum.
It is to be noted that referenced plots are not indicated hence, the general answer.
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OA. Graph D
OB. Graph B
OC. Graph A
OD. Graph C
A
C
& I
of
B
D
SUBMIT
Answer:
My sister is doing this, I if remember correctly graph B?
I want pictures of how you took the answer
The value of x in both case is 17 and 10.
What is complementary and supplementary angle?If the sum of two angles is 180 degrees then they are said to be b angles, which form a linear angle together. Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.
1. As the given angle is 90 degree i.e., complementary angle.
So,
22+4x=90
4x= 90-22
4x= 68
x= 17
2. As the figure for the linear pair i.e., supplementary angle
So,
110+7x=180
7x=70
x=10
Hence the value of x in both case is 17 and 10.
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a pair of dice is rolled what is the probability of getting a sum of seven or eleven
Answer:
Step-by-step explanation:
this year you earned $75500. Last year you earned $72400. What the rate of change on your earnings since last y?
9x?=3/2+ 3/2 + 3/2 10 pts for correct answer
A fraction is a way to describe a part of a whole. The fraction that can replace the question mark is 1/2.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The fraction that can replace the question mark is,
9 × ? = (3/2) + (3/2) + (3/2)
9 × ? = 3(3/2)
9 × ? = 9/2
9 × ? = 9/2
? = 9/(2×9)
? = 1/2
Hence, the fraction that can replace the question mark is 1/2.
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Hey! Could someone help me with this question as quick as possible? Hope everyone is having a great day/night.
If two sides of a triangle are 10 cm and 6 cm long, which of the
following cannot be the perimeter of this triangle?
Answer:
J
Step-by-step explanation:
To find perimeter we add. 10+6 is 16. The third side has to be much bigger than this. So, J is the answer and J is 19 which wouldnt make sense as the length of the third side.
Find the angle of CD. Round to the nearest tenth. 12.7 cm 45.5° 9/06 cm mCD= [?]°
Using the information in the diagram, the measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is 89.0°
Calculating the angle subtended by an arcFrom the question, we are to determine the measure of [tex]\overset{\LARGE\frown}{CD}[/tex]
Consider the right triangle
The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is twice the measure of the unknown angle
Let the unknown angle in the right triangle be x
∴ The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 2x
Then,
x + 90° + 45.5° = 180° (Sum of angles in a triangle)
x = 180° - 90° - 45.5°
x = 44.5°
Thus,
The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 2×44.5°
The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 89°
Hence, the measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is 89.0°
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A regular polygon with n sides has n(n-3)/2 diagonals. Find the number of sides of a regular polygon that has 44 diagonals.
[tex]\dfrac{n(n-3)}{2}=44\\\\n(n-3)=88\\n^2-3n-88=0\\n^2+8n-11n-88=0\\n(n+8)-11(n+8)=0\\(n-11)(n+8)=0\\n=11 \vee n=-8[/tex]
Therefore, the number of sides is 11.
rearrange the equation so b is the independent variable
a - 7 = 3(b+2)
a = ?
Which of the following is most likely the next step in the series?
A.
Answer:
D.
Step-by-step explanation:
If you look at the pattern, the first shape (square) has four sides. Then, you have 5 sides, and finally, 6 sides.
Thus, a pattern of 4, 5, 6. So, the next shape must have 7 sides, leaving the only possible answer as D.
In the solid figure below, what is the volume of the bottom section of the figure?
48
24
36
12
The volume of the bottom section of the figure is:
V = 48 cm³
How to get the volume of the bottom section?Remember that for a rectangular prism of length L, width W, and height H, the volume is V.
V = L*W*H
For the bottom section the dimensions are:
Length = 6cm
Width = 4cm
Height = 4cm - 2cm = 2cm
Replacing these in the volume equation we get:
V = (6cm)*(4cm)*(2cm) = 48cm³
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Answer:
Step-by-step explanation:That’s t up to you STOP CHEATING!!
Flying against the wind, an airplane travels 4620 kilometers in 7 hours. Flying with the wind, the same plane travels 8640 kilometers in 8 hours. What is the rate of the plane in still air and what is the rate of the wind?
The rate of the plane in still air is 870km/h and the rate of the wind 210km/h.
What is speed?Speed has the dimensions of distance divided by time.
Let Speed of airplane be x km/h and Speed of Wind be y km/h
Speed direction of wind (x+y)
Speed in opposition of wind (x-y)
Now, using speed x time= distance
7( x-y)=4620
(x-y)=4620/7
=660------------------(1)
Similarly,
8(x+y)=8640
(x+y) =8640/8=1080-----------------------(2)
Adding (1) and (2)
2x=1740
x=870 km/h
Subtracting (1) from (2)
2y=420
=>y=210 km/h
So rate of airplane =870km/h
rate of wind=210km/h
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can someone help me with this question? thank ou!
Answer:
11
Step-by-step explanation:
2x-13=9
2x=9+13
2x=22
x=11
For each inequality, decide whether the solutions is represented by x < 2.5 or x >2.5
1. -4x + 5 > -5. 2. -25 > -5(x + 2.5)
#1
-4x+5>-5-4x>-5-5-4x>-104x<10x<2.5#2
-25>-5(x+2.5)25<5(x+2.5)x+2.5>5x>2.5Answer:
1. x < 2.5
2. x > 2.5
Step-by-step explanation:
Question 1
Given inequality:
-4x + 5 > -5
Subtract 5 from both sides:
⇒ -4x + 5 - 5 > -5 - 5
⇒ -4x > -10
Divide both sides by -4 (remembering to flip the sign as we are dividing by a negative):
⇒ -4x ÷ -4 > -10 ÷ -4
⇒ x < 2.5
Question 2
Given inequality:
-25 > -5(x + 2.5)
Expand the brackets:
⇒ -25 > -5x - 12.5
Add 12.5 to both sides:
⇒ -25 + 12.5 > -5x - 12.5 + 12.5
⇒ -12.5 > -5x
Divide both sides by -5 (remembering to flip the sign as we are dividing by a negative):
⇒ -12.5 ÷ -5 > -5x ÷ -5
⇒ 2.5 < x
⇒ x > 2.5
A cube has side length 3 inches. A sphere has a radius of
3 inches. (Lesson 5-16)
a. Before doing any calculations, predict which solid has greater surface
area to volume ratio.
b. Calculate the surface area, volume, and surface area to volume ratio for
each solid.
I predict that the solid with the greater surface area to volume ratio would be the cube.
The volume of the cube is 27in³
The surface area of the cube is
The ratio of surface area to volume for the cube is 2.
The volume of the sphere is 113.14 in³
The surface area of the sphere is 113.14 in²
The ratio of surface area to volume is 1.
What is the surface area and volume of each solid?The volume of a cube = side length³
3³ = 27 in³
The surface area of a cube = 6a²
a = side length
6 x (3²) = 54 inches²
Ratio of surface area to volume = 54 / 27 = 2
The volume of the sphere= 4/3πr³
4/3 x 22/7 x 3³ = 113.14 in³
The surface area of the sphere = 4πr²
4 x 22/7 x 3² = 113.14 in²
Ratio of surface area to volume = 113.14 / 113.14 = 1
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[tex]\huge\fbox\purple{question}[/tex]
#Write the member of the following sets=
a)V={vowels of English alphabets}
b){cube numbers between 0 to 50
c)M={y:y is a multiple of 3 less than 20}
#a
V={Vowels of English alphabets}
V={a,e,i,o,u,A,E,I,O,U}#b
C={cube numbers between 0 to 50}
C={0,1,8,27}#c
M={y:y is a multiple of 3 less than 20}
M={0,3,6,9,12,15,18}Find the area of the shaded region round to the nearest tenth
Answer: 818.4
Step-by-step explanation:
Using the area of a sector formula, we get the area of the entire sector is [tex](\pi)(27.8^{2})\left(\frac{150}{360} \right)[/tex].
Using the formula [tex]A=\frac{1}{2} ab \sin C[/tex], we get the area of the triangle is [tex]\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ})[/tex].
So, the area of the shaded sector is [tex](\pi)(27.8^{2})\left(\frac{150}{360} \right)-\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ}) \approx \boxed{818.4}[/tex]
What is limit of startroot x squared minus 8 endroot as x approaches negative 3? –5 1 startroot 2 endroot startroot negative 14 endroot
The limit of [tex]\lim_{x \to -3}\sqrt{ x^2-8}[/tex] as x approaches negative 3 is 1
Limit of a functionThe limit of the function given in question can also be written as:
[tex]\lim_{x \to -3}\sqrt{ x^2-8}[/tex]
To determine the required limit, we will simply substitute the value of x into the function as shown:
[tex]\lim_{x \to -3}\sqrt{ x^2-8}=\sqrt{ (-3)^2-8}\\\lim_{x \to -3}\sqrt{ x^2-8}=\sqrt{9-8}=1\\[/tex]
Hence the limit of [tex]\lim_{x \to -3}\sqrt{ x^2-8}[/tex] as x approaches negative 3 is 1
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Answer: the answer is b. 1
Step-by-step explanation: just got it right on edge
Solve 4|3x-1| + 3 > 11.
4|3x-1| + 3 > 11
4|3x-1| > 11-3
4|3x-1| > 8
|3x-1| > 2
3x-1>2 or 3x-1<-2
3x>2+1 3x<-2+1
3x>3 3x<-1
x>1 x<-1÷3
Solution: ]-♾️ , -1÷3 [ U ] 1,+♾️ [