Answer:
incenter
Step-by-step explanation:
The following statement is from the contract Peter signed with his Homeowner's Association (HOA).
"Overnight parking on community streets is prohibited. For the purpose of this contract, 'overnight' will be defined as the hours between 11:00 p.m. and 4:00 a.m. The HOA will monitor overnight parking not less than once every calendar week with nightly patrols by community security.
"In the event a car is found parked on community streets overnight and that ownership of the offending car can accurately be verified as a community homeowner, the homeowner will receive one (1) written warning asking him or her to correct the situation. A second and third infraction by the same homeowner, whether or not it is with the same car, will result in a monetary fine as permitted by CC&R guidelines and HOA bylaws. Further infractions (past 3) will result in monetary fines in addition to the towing of the car at the homeowner's expense."
Because of the extremely low ground effects and body profile on his racing car, Peter is unable to drive his car off of the street and onto the driveway. He has parked on the street overnight for the past five weeks. He has received one written warning and one monetary fine from the HOA. What consequences should Peter expect after this week's security check?
a.
His car will be towed.
b.
He will receive another monetary fine.
c.
He will receive a monetary fine and his car will be towed.
d.
A "boot" will be place on his car to prevent him from driving it.
Find the area of the shaded portion in the equilateral triangle with sides 6. Show all work for full credit.
(Hint: Assume that the central point of each arc is its corresponding vertex.)
The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.
To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.
First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.
In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.
Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.
Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.
Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.
Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.
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Fasteners are manufactured for an application involving aircraft. Each fastener is categorized either as conforming (suitable for its intended use), downgraded (unsuitable for its intended use but usable for another purpose), and scrap (not usable). It is thought that 85% of the fasteners are conforming, while 10% are downgraded and 5% are scrap. In a sample of 500 fasteners, 410 were conforming, 55 were downgraded, and 35 were scrap. Can you conclude that the true percentages differ from 85%, 10%, and 5%
Answer:
The true percentage actually differ from 85%, 10%, and 5%chi-square statistic. = 5.0294Step-by-step explanation:
85% of fasteners = conforming
10% of fasteners = downgraded
5% of fasteners = scrap
In a sample size of 500 fasteners
410 = conforming , 55 = downgraded,
The true percentage actually differ from 85%, 10%, and 5% as shown below
Observed Expected
conforming 410 500*0.85 = 425
Downgraded 55 500*0.10 = 50
Scrap 35 500 * 0.05 = 25
Test statistic
determine the test statistic
= [ (410 - 425)2 / 425 + (55 -50)2 / 50 + (35 - 25)2 / 25 ]
chi-square statistic. = 5.0294
What are the coordinates of the vertices of the final image? A. P’(12, -6), Q’(8, -7), R’(4, -4), and S‘(7, -1) B. P’(12, 8), Q’(8, 9), R’(4, 6), and S‘(7, 3) C. P’(-12, 6), Q’(-8, 7), R’(-4, 4), and S‘(-7, 1) D. P’(12, 6), Q’(8, 7), R’(4, 4), and S’(7, 1)
Answer:
Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.
Now, let's find the new vertices of the dilated image:
Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).
Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).
Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).
Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).
Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).
Step-by-step explanation:
Hope this helps you!! Have a good day/night!!
Based on past experience, it is estimated that a restaurant will serve 122 guests on a weekday evening. This is an example of which type of probability
Answer: Experimental probability.
Step-by-step explanation:
This starts as "based on past experience."
So we can suppose that this estimation is obtained by looking at the mean of the number of guests on the past N weekday evenings. (With N a large number, as larger is N, more data points we have, and a better estimation can be made)
Then, this would be an experimental probability, because it is obtained by repeating an experiment (counting the number of guests on weekday evenings) and using that information to make an estimation.
Which sum or difference is modeled by the algebra tiles?
As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.
what is expression ?It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.
given
To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2
Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6
Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2
Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4
= 2x2 + 2x + 2
As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.
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The complete question is:-
Select the correct answer.
Which sum or difference is modeled by the algebra tiles?
A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2
B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2
C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2
D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2
9. A has some amount of money with him. He gave one half of one third from that amount One half of the amount received by B is 20. What is the amount that A originally had?
Using the expression 5x/12 = 20, the amount that A originally had was $48.
We have,
Let x be the amount of money that A originally had.
Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.
The amount received by B is 1/2 of the remaining amount,
which is (x - x/6)/2 = 5x/12.
We know that 5x/12 = 20,
Solving for x.
5x/12 = 20
5x = 240
x = 48
Therefore,
The amount that A originally had was $48.
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c = √a² + b². This is the formula for the length of the hypotenuse c of a right triangle. Solve this formula for a.
Answer:
a = sqrt(c^2 - b^2)
see image.
Step-by-step explanation:
If you square both sides of the equation, you get the Pythagorean Theorem back again.
c = sqrt(a^2 + b^2)
c^2 = a^2 + b^2
Solve for a means to get a all by itself on one side of the equation. Subtract b^2 and then take the square root. See image.
Show your work please
will give brainliest...
The square of a certain positive number is equal to 2 more than seven-thirds of that number. What is the number?
6
4
3
Answer:
3
Step-by-step explanation:
x^2=7/3x+2
3^2=7/3(3)+2
9=7+2
9=9
Its factorial math pleaseHelp.
\(\dfrac{7!4!}{5!3!}=6\cdot7\cdot4=168\)
g(t)=−(t−1)
2
+5g, left parenthesis, t, right parenthesis, equals, minus, left parenthesis, t, minus, 1, right parenthesis, squared, plus, 5
What is the average rate of change of
�
gg over the interval
−
4
≤
�
≤
5
−4≤t≤5minus, 4, is less than or equal to, t, is less than or equal to, 5?
The average rate of change over is 1.
Given that;
the function is,
⇒ g (t) = - (t - 1)² + 5
Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.
The value of G(-4):
The value of G(-4) can be determined by substituting t = -4 in the function
⇒ g (t) = - (t - 1)² + 5
Thus, we have,
⇒ g (t) = - (-4 - 1)² + 5
⇒ g (t) = - 20
Thus, the value of G(-4) = -20
The value of G(5):
The value of G(5) can be determined by substituting t = 5 in the function , we get,
⇒ g (t) = - (t - 1)² + 5
⇒ g (t) = - (5 - 1)² + 5
⇒ g (t) = - 11
Thus, the value of G(5) is, -11
Now, Average rate of change:
The average rate of change can be determined using the formula,
⇒ G(b) - G (a) / (b - a)
where, a = - 4 and b = 5
Substituting the values, we get,
⇒ G(5) - G (-4) / (5 - (-4))
⇒ ( - 11 - (- 20)) / 9
⇒ 9/9
⇒ 1
Thus, the average rate of change over the interval is. 1.
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For what value of 2 will the function f(x), be continuous at x=0?
(See Image) Thanks
(i) \(\lim_{x \to \pi/3}\) f(x) = 1 + √3.
(ii) \(\lim_{x \to \frac{\pi}{4}} f(x)\) does not exist.
For λ = 2.5, the function f(x) will be continuous at x = 0.
Given the function is,
f(x) = 1.5, when x = 0
= 1 -2 sin x, when x < π/4
= 1 + 2 sin x, when x > π/4
= 1 + (sin λx/sin 5x)
Now,
\(\lim_{x \to \pi/3}\) f(x) = \(\lim_{x \to \pi/3}\) (1 + 2 sin x) [Since, π/3 > π/4]
= 1 + 2 sin (π/3)
= 1 + 2√3/2 = 1 + √3
Hence, \(\lim_{x \to \pi/3}\) f(x) = 1 + √3.
Now left hand limit is,
\(\lim_{x \to \frac{\pi^+}{4}}\) f(x) = \(\lim_{x \to \frac{\pi^+}{4}}\) (1 + 2sin x) = 1 +2 sin(π/4) = 1 + 2*(1/√2) = 1 + √2
and right hand limit is,
\(\lim_{x \to \frac{\pi^-}{4}}\) f(x) = \(\lim_{x \to \frac{\pi^-}{4}}\) (1 - 2 sin x) = 1 - 2*(1/√2) = 1 - √2
Since left hand limit and right hand limit are not equal so value of \(\lim_{x \to \frac{\pi}{4}} f(x)\) does not exist.
\(\lim_{x \to 0}\) f(x) = \(\lim_{x \to 0}\) (1 + (sin λx/sin 5x)) = 1 + \(\lim_{x \to 0}\) ((sin λx/λx)/(sin 5x/5x))*(λ/5) = 1 + λ/5
Since f(x) is continuous at x = 0.
So, \(\lim_{x \to 0}\) f(x) = f(0)
1 + λ/5 = 1.5
λ/5 = 1.5 - 1 = 0.5
λ = 2.5
Hence the value of λ will be 2.5.
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Which set of fractions is ordered least to greatest 7/8 5/11 2/3
Answer:
Step-by-step explanation:
5/11. 2/3. 7/8
Please please please help me
I really need to pass this I will give brainliest and a lot of points please just help me solve this correctly
The length of side AB is about 5.87 units.
How to find the side of a right triangle?The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.
Therefore, let's find the length AB in the right triangle.
Using trigonometric ratios,
cos 33 = adjacent / hypotenuse
Therefore,
Adjacent side = AB
hypotenuse side = 7 units
cos 33° = AB / 7
cross multiply
AB = 7 cos 33
AB = 7 × 0.83867056794
AB = 5.87069397562
AB = 5.87 units
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Write an expression that represents the area of just the portrait (white rectangle)
the area of the rectangle will be 1.5w².
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.
Area of rectangle is A = a*b
The given length of the rectangle is w
The width will be 1.5w
So the rectangle of the white figure is Area = w*1.5w = 1.5 w²
hence the area of the rectangle will be 1.5w².
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You have 10 gallons of lemonade to sell. (1 gal $\approx$ 3785 cm3)
A conical paper cup is shown. Its height is 11 centimeters and the diameter of its base is 8 centimeters.
a. Each customer uses 1 paper cup. The cups are sold in packages of 50. How many packages should you buy?
b. How many cups will be left over if you sell 80% of the lemonade?
Answer:
Step-by-step explanation:
volume of cone cup = ⅓πr²h = ⅓π4²·11 ≅ 184.31 cm³
10 gal × 3,785 cm³/gal = 37,850 cm³
37,850 cm³ × (1 cone)/(184.31 cm³) ≅205.4 cones
Buy 5 packages (250 cones).
8 gal × 3,785 cm³/gal = 30,280 cm³
30,280 cm³ × (1 cone)/(184.31 cm³) ≅165 cones
250 - 165 = 85 cones left over
a). Number of packs of cups to be purchased = 5 packs
b). Number of cups remaining if 80% lemonade is sold = 85 cups
Volume of a cone: Volume of a cone is given by the expression,
\(V=\frac{1}{3}\pi r^2h\)
Here, r = radius of the cone
h = Height of the cone
Given in the question,
Radius of the cone = \(\frac{8}{2}\) = 4 cm Height of the cone = 11 cm Amount of lemonade = 10 gallonsa). Volume of one cone = \(\frac{1}{3}\pi (4)^2(11)\)
= 184.307 cm³
Covert the gallons into cubic cm,
∵ 1 gallon = 3785 cm³
∴ 10 gallons = 37850 cm³
∵ 184.307 cm³ volume represents the number of cones = 1
∴ 1 cm³ will represent the voulume = \(\frac{1}{184.307}\) cups
∴ 37850 cm³ will represent the volume = \(\frac{37850}{184.307}\) cups
= 205.36 cups
≈ 205 cups
Therefoe, number of packs of cups to be bought = \(\frac{205}{50}\)
= 5 packs
b). If 80% of the lemonade are sold, amount of lemonade sold = 10 × \(\frac{80}{100}\)
= 8 gallons
Volume of 8 gallons lemonade in cm³ = 8 × 3785
= 30280 cm³
Therefore, number of cups to be used = \(\frac{30280}{184.307}\) cups
= 164.29 cups
≈ 164 cups
Number of cups purchased = 250
And the number of cups remaining = 250 - 164
= 86 cups
Therefore, number of cups remaining are 86 cups.
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how many itegers from 15 to 85, inclusive are multibles of 8
Answer:
9 multiples
Step-by-step explanation:
16,24,32,40,48,56,64,72,80
9
User averysmartperson is helping with this question.
Answer:
\(x^2 + (y-60)^2 = 30,625\)
Step-by-step explanation:
There are 42 carts, so there is 42 spaces in between them; if one of those spaces are 25pi/3 feet long, then 42 of them would be 25*42*pi/3 = 350pi (Perfect! no fractions)
350pi is the circumference. Now if we plug that into the circumference equation we get:
C = 2pi*r
350pi = 2pi*r
Divide both sides by pi to get rid of it
350 = 2r
Divide both sides by 2
r = 175 feet
So the new equation to graph it is:
x^2+y^2 = 175^2 = 30,625
We also know that the center of the Ferris wheel has to be at least 60 feet from the ground. Since the radius is more than that, a good bit of the Ferris wheel has to be underground OR we can make it higher (keyword: at least) if we want it to be above ground. I'll do the equation for underground since it more closely represents the question.
subtracting a number from y, shifts the graph up that much so:
\(x^2 + (y-60)^2 = 30,625\)
I can't really draw it electronically but I can graph it:
The two-way frequency table below shows how many volunteers reported an improvementin their symptoms and whether they received a test medication or a placebo. What is theprobability that a volunteer reported an improvement in his or her symptoms, given that he orshe received the placebo? Round to the nearest tenth of a percent if necessary.MedicationPlaceImprovementNo improvement5318284339.4%74.6%19.7%50%None of the other answers are correct
Problem
Solution
For this problem we can define the following events:
A= Volunteer report improvement in his/her symptoms
B= the volunteer recieved the placebo
From the info given we can calculate the following probabilities:
P(A)= (53+28)/(142)= 0.570
P(B)= (28+43)/142= 0.5
Now we can calculate this probability:
P(A and B)= 28/142= 0.197
Finally we want to find this probability:
\(P(A|B)=\frac{P(Aand\text{ B)}}{P(B)}\)And replacing we got:
P(A|B)= (0.197)/0.5=0.394
And that correspond to :
39.4%
Write 11/80 as decimal Round to four decimal places as needed
The fraction is given
\(\frac{11}{80}\)ExplanationTo determine the decimal form .
\(\frac{11}{80}=0.1375\)AnswerHence the answer in decimal form is 0.1375.
help pls 40 pts!!!!!!! plssss
Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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Help pls! I will give 50 points!
Answer:
1&2 are -2x^(3)+3x^(2)+x or Factored is −-x(2x^(2)-3x-1)
3&4 are 2x^(4)-3x^(3)-x^(2) or Factored is x^(2)(2x^(2)-3x-1)
5 is Yes
Step-by-step explanation:
1. (x+1*2x^(2)-x)(-1)
2x^(3)-x^(2)+2x^(2)-x(-1)
2x^(3)-3x^(2)-x(-1)
-2x^(3)+3x^(2)+x
−-x(2x^(2)-3x-1)
2. (2x^(2)-x*x+1*2x)(-1)
2x^(3)-x^(2)+2x^(2)-x(-1)
2x^(3)-3x^(2)-x(-1)
-2x^(3)+3x^(2)+x
−-x(2x^(2)-3x-1)
3. (x+1*2x^(2)-x)(x)
2x^(3)-x^(2)+2x^(2)-x(x)
2x^(3)-3x^(2)-x(x)
2x^(4)-3x^(3)-x^(2)
x^(2)(2x^(2)-3x-1)
4. (2x^(2)-x*x+1*2x)(x)
2x^(3)-x^(2)+2x^(2)-x(x)
2x^(3)-3x^(2)-x(x)
2x^(4)-3x^(3)-x^(2)
x^(2)(2x^(2)-3x-1)
5. (2x^(2)-x*x+1*2x)(x)=(x+1*2x^(2)-x)(x)
(2x^(2)-x*x+1*2x)(x)-2x^(2)-x=(x+1*2x^(2)-x)(x)-2x^(2)-x
(x+1)(x)=(x+1)(x)
(x+1)(x)-(x+1)=(x+1)(x)-(x+1)
X=X
What is the value of (2/3)^4 ?
Answer:
THE ANSWER IS 81/16 OR C
PLEASE HELP!!!
Suppose a normal distribution has a mean of 50 and a standard deviation of
3. What is P(x<44)?
O A. 0.16
O B. 0.84
O C. 0.975
O D. 0.025
To solve this problem, we can simply use the formula of normal distribution and substitute the values where required.
The value of P(x <= 44) is 0.025 which is option D
ProbabilityGiven the value of the mean, normal distribution and standard deviation, we can calculate where the value lies
Data;
Mean = 50S.D = 3X = 44But we know that
\(z = \frac{x- \mu}{\sigma}\)
Let's substitute the values of x, standard deviation and mean into the equation above
\(z = \frac{x-\mu}{\sigma} \\z = \frac{44-50}{3} =-2\)
Solving this further;
\(P(z\leq -2) = \frac{1}{2} - \frac{1}{2}(0.9545)\\p(z\leq -2) = 0.025\)
The value of P(x <= 44) is 0.025 which is option D
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Answer:
The answer is 0.16 other guy wrong
Step-by-step explanation:
perimiter question asap answer
The perimeter of the figure is 58 m.
To find the perimeter of the given figure we can divide the figure in three rectangles.
Rectangle 1:
Perimeter= 2 (l + w)
= 2(5 + 2)
= 2 x 7
= 14 m
Rectangle 2:
Perimeter= 2 (l + w)
= 2(5 + 1)
= 2 x 6
= 12 m
Rectangle 3:
Perimeter= 2 (l + w)
= 2(14 + 2)
= 2 x 16
= 32 m
So, the perimeter of the figure is
= 14 + 12 + 32
= 58 m
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You are driving 70 miles per hour going to the beach. You started driving 10 miles closer to the beach then you normally would. How far away are you from home after 2 hours of driving?
If you started driving 10 miles closer to the beach then you normally would, after 2 hours of driving, you are 130 miles away from home.
Assuming that the distance to the beach from your home is "d" miles, you normally drive "d - 10" miles before reaching the beach.
If you drive for 2 hours at 70 miles per hour, you will have traveled a total distance of:
distance = speed x time = 70 x 2 = 140 miles
However, this distance includes the 10 miles that you started closer to the beach than normal. Therefore, the distance you have traveled from your home is:
distance from home = 140 - 10 = 130 miles
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Canal Industries has provided the following information:
Net income, $260,000
Preferred shares issued, 6,200
Weighted average number of shares of common stock issued, 24,200
Cash dividends declared and paid on common stock, $32,000
Market price per share, $38
Weighted average number of treasury shares of common stock, 4,200
What is Canal's price/earnings ratio?
The Canal's price/earnings ratio is 2.92.
To calculate Canal's price/earnings ratio, we need to find the earnings per share (EPS) first. The EPS can be calculated by dividing the net income by the weighted average number of common shares outstanding.
The weighted average number of common shares outstanding can be calculated as follows:
Weighted average number of common shares outstanding = Total number of common shares - Weighted average number of treasury shares
Weighted average number of common shares outstanding = 24,200 - 4,200 = 20,000
EPS = Net income / Weighted average number of common shares outstanding
EPS = $260,000 / 20,000 = $13
Finally, the price/earnings ratio can be calculated by dividing the market price per share by the EPS:
Price/earnings ratio = Market price per share / EPS
Price/earnings ratio = $38 / $13 = 2.92
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18 ÷ {[(7 × 2) − (26 ÷ 2)] + 1} =
Answer:
9
Step-by-step explanation:
18 ÷ {[(14) - (13)] + 1}
18 ÷ {1+1} =
18 ÷ 2 = 9
Hope that helps!
Hi please help I’m like rlly freaking confsuef
Answer:Ok Don't freak out What do you need help with
Step-by-step explanation: