Sultan Inc. was organized on January 1, 2020. It reported the following for its first two years of operations:
Net earnings for 2020 $ 31,000
Dividends for 2020 14,200
Total shareholders’ equity at end of 2020 130,000
Net earnings for 2021 42,000
Dividends for 2021 18,700
Total shareholders’ equity at end of 2021 250,000
Required:
Compute the ending balance of retained earnings for Sultan Inc. as at December 31, 2021.

Hello!

The distance, d, is less than 200 miles.

B. d > 200

Answer:

3x-2y-6=0

Step-by-step explanation:

Gotta get y and x to the same side. Add 3 to both sides to get y+3=3/2x. Then, subtract -3/2x from both sides. Then you have -3/2x+y+3=0. Multiply by -2 to get x positive and by itself. You are left with 3x-2y-6=0

Answer:

c

Step-by-step explanation:

The general form is represented by Ax+By+C=0

In order to do this, we have to transfer the x value, y value, and the coefficient to one side.

Do this by subtracting \(\frac{3}{2}\)x  and adding 3 on both sides so that the equation now reads \(-\frac{3}{2} + y + 3 =0\)

General form cannot have fractions so then you would multiply everything by -2 to get rid of the fraction and negative. This will lead you to the answer

Answer: 90

Step-by-step explanation:

2*43+4

86+4

90

Answer:

94

Step-by-step explanation:

43 +4 = 47

47 x2 = 94

Answer:

1) 9x

2) 3b

3) 3m

4) 5a

5) 7x

6) 3a + 5b

7) 9x - 4

8) 2b + m

9) 13a + b + 6c

10) 9b + 1

11) 7p

12) 2a + b -10

Step-by-step explanation:

Answer:

Put the 4 at the beggining at line then always at +20 to it

Answer:

Yes 20

Step-by-step explanation:

3 add 2 is 5. The circle means times by. 5 times by 4 is 20

Answer:

You hav elearned order or perations yes, well first you would(in this equation) multiply 2 and 4together to get 8 then add 8 and 3 to get 11 the correct answer is b

Step-by-step explanation:

Answer:

WITH DECIMAL: the bigger the demominateor (the bottom number) is, the smaller the value of the number. for ex. 1/4 is smaller then 1/2, 1/8 is bigger then 1/16, etc.

1/4 would go in between 0 and -1 because 1/4 isn't a whole number

-3 1/4 would go in between -3 and -4 becauce 3 AND 1/2 is more then just a 3

-2 3/4 would go in between -2 and -3 becasue 2 + other 3/4 is going to be bigger than 2 but smaller than a 3

9/4 is a tricky one casue 9 is bigger then 4. so you need to see how many times 4 goes into 9 (2 times = 4 +4 = 8) so the simplfied version would be 2 1/4 casue 9 - 8 = 1. so the 9/4 would go in between 2 and 3

lastly, the 3/4 would go in between 0 and 1 becasue 3/4 is deffinately smaller than 1 and definatly bigger than 0

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Negative because I don't think so that this is positive

Answer:

447

Step-by-step explanation:

I don't know how to help with the area model part.

But I can ensure you its 447.

The standard deviation of the scores of all the students in the class to be:

σ = √[(Σ(x - 80)2) / 50] = 11.18

The standard deviation of the scores of all the students in the class is calculated using the formula

σ = √[(Σ(x - μ)2) / N]

where μ is the mean of the scores and N is the total number of students in the class.

In this case, the total number of students in the class is 50 (30 from section 1 and 20 from section 2). Let's assume that the mean of the scores for all students is 80.

Therefore, the standard deviation of the scores of all the students in the class is calculated as follows:

σ = √[(Σ(x - 80)2) / 50]

In this equation, Σ(x - 80)2 is the sum of the squared differences between each student's score and the mean. We can calculate this sum by first finding the squared difference for each student and then adding them up.

For example, if the scores of the 30 students in section 1 are 86, 95, 78, etc., the squared differences will be (86 - 80)2 = 36, (95 - 80)2 = 225, (78 - 80)2 = 4, and so on. Adding all these squared differences will give us the sum of the squared differences for all the students in the class.

Finally, substituting this sum and the value of N (50) in the formula, we get the standard deviation of the scores of all the students in the class to be:

σ = √[(Σ(x - 80)2) / 50] = 11.18

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The x < 4 function is increasing to the vertex, x> 4 function is decreasing and approximate average rate of change of the graph is 70, and x ∈(0, 8) is the domain of the function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function shown in the picture.

Part A:

When the profit is zero, the x intercepts depict it. The biggest profit happens at the vertex, which has the highest value. The function increases until it hits the vertex, then decreases after that.

x < 4 function is increasing to the vertex.

x> 4 function is decreasing

Part B: approximate average rate of change of the graph from x = 1 to x = 4:

= [f(4) - f(1)]/(4-1)

= (270-60)/3

= 70

Part C: We can't sell pay individuals to take the thing since the domain is confined by x at x =0. We are constrained in terms of business at x=8.

Thus, the x < 4 function is increasing to the vertex, x> 4 function is decreasing and approximate average rate of change of the graph is 70, and x ∈(0, 8) is the domain of the function.

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Answer:

1.05 dollars per popsicle

Step-by-step explanation:

x is the price per popsicle. In order for you to make 6 dollars of profit, each box is going to cost 10.50 dollars because 4.50 is your amount of expenses.  

Profie= revenue-expenses

6= revenue-4.5

revenue=10.5

If you charge 10.5 per box, and each box has 10 popsicles, then one popsicle is 10.5/10=1.05 dollars per popsicle.

Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

Answer: D. The function is neither even nor odd.

Step-by-step explanation:

A function f(x) is even if:

f(x) = f(-x) for all x-valies

A function f(x) is odd if:

f(x) = -f(-x) for all x-values.

If there is only one value of x such that the above conditions are false, then the function is neither odd nor even.

In the graph, we can see that:

f( -π/3) = f(π/3)

This would imply that the function is even (at least in that point)

And can also see that as x increases from zero, the value of f(x) increases.

And as x decreases from zero, the graph of f(x) decreases.

So for a point  1 > a > 0, we have that:

f(a) ≠ f(-a)

Then we can conclude that the function is neither even nor odd, the correct option is D.

Answer:

D. The function is neither even nor odd

Step-by-step explanation:

edmentum

9514 1404 393

Answer:

  x = 1/6

Step-by-step explanation:

The relevant rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

__

The fraction inside parentheses evaluates to ...

  3^(3/4 -3/8) = 3^(3/8)

Then the whole expression evaluates to ...

  (3^(3/8))^(4/9) = 3^((3/8)(4/9)) = 3^(12/72) = 3^(1/6)

The value of x is 1/6.

Answer:

12π un^3

Step-by-step explanation:

Use the fomula: V= πr2 h

The radius is 2 and the height is 3.

I really don't know how to explain this but I can try, with a self- explanatory steps including the formula .

The work is in the screen shot goodluck.

Hope this helped!

Stay Safe!

Answer:

37.5 is the answer to the problem

Check the picture below.

\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)

Make sure your calculator is in Degree mode.

Answer:

Step-by-step explanation:

10(a)+5(c)=310

a= number of adult

c= number children

Answer:

x1 = y1 - a*y2 + (a*c - b)*y3

x2 = y2 - c*y3

x3 = y3

Step-by-step explanation:

Here we have the system:

x1 + a*x2 + b*x3 = y1

x2 + c*x3 = y2

x3 = y3

Where the variables y1, y2, and y3 are known (a, b and c are also known).

The first step is to isolate one of the variables in one of the equations, we can see that in the third equation we have x3 already isolated, so now we can just replace it on the other two equations to get:

x1 + a*x2 + b*(y3) = y1

x2 + c*(y3) = y2

Now we again want to isolate one of the variables in one of the equations, i will isolate x2 in the second equation to get:

x2 = y2 - c*y3

Now we can replace this on the other equation to get:

x1 + a*(y2 - c*y3) + b*y3 = y1

Now we canw write x1 in terms of the known variables:

x1 = y1 - a*y2 + (a*c - b)*y3

And in the process we also found that:

x3 = y3

x2 = y2 - c*y3

Then the solutions are:

x1 = y1 - a*y2 + (a*c - b)*y3

x2 = y2 - c*y3

x3 = y3

Answer:

2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

2x - 3 = 9 - 4x

6x - 3 = 9 (added 4x to both sides)

6x = 12 (added 3 to both sides)

x = 2 (divided 12 by 6)

hope this helps :)

Answer:

4x - 10< 14

4x < 14 + 10

4x < 24

x < 6

from the answer c is the correct option.

Answer:

2401

Step-by-step explanation:

7*7*7*7=2401

Answer:

28

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

They made 97+3 total jars, 3 out of 100 is 3 percent.

If a sample of 40 teams is selected at random from the population, the expected mean is $750 and the standard deviation is $29.25

The mean of the cost of joining a team = $750

Standard deviation = $185

A sample of 40 teams is selected at random from the population

The expected standard deviation = \(\sqrt{\frac{185^2}{40} }\)

= $29.25

Here the cost of joining a team is normally distributed with a mean of $750

Here the distribution of the cost of joining is normal the mean of the sample distribution, so it will be equal to the mean of the population

The mean = $750

Therefore, the standard deviation is $29.25 and the mean is $750

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The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer:

F

Step-by-step explanation:

64x³ = -1

x³ = -1/64

x = ∛-1/∛64

x = -1/4

Answer:

x = - \(\frac{1}{4}\)

Step-by-step explanation:

64x³+1=0

Add 1 to both sides:

64x³=-1

Divide both sides by 64:

x³=-\(\frac{1}{64}\)

Find cubed root of both sides:

x=-\(\sqrt[3]{\frac{1}{64}}\)

Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :

x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)

Evaluate:

x = - \(\frac{1}{4}\)

the intersection points is where both equations' graph meet, or namely where one equation equals the other, or for this case when y = y, so

\(\begin{cases} y = 4x - 5\\ y = 2x^2-5x-10 \end{cases}\qquad \stackrel{y}{4x-5}~~ = ~~\stackrel{y}{2x^2-5x-10} \\\\\\ -5=2x^2-9x-10\implies 0=2x^2-9x-5 \\\\\\ 0=(x-5)(2x+1)\implies \begin{cases} 0 = x-5\\ 5 = x\\[-0.5em] \hrulefill\\ 0 = 2x+1\\ -1=2x\\ -\frac{1}{2}=x \end{cases}\)

well, we know what "x" is at those point, to get the "y" value, we can use either of the equations and substitute our "x" in it, hmmmm let's use the 1st equation for that

\(y = 4(\stackrel{x}{5})-5\implies y = 20-5\implies y = 15 \\\\\\ y = 4\stackrel{x}{\left( -\frac{1}{2} \right)}-5\implies y = -2-5\implies y = -7 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{intersection points}}{(5~~,~~15)\qquad \left(-\frac{1}{2}~~,~-7 \right)}~\hfill\)

The intersection points of the given system would be at the point:

\((5, 15) (-1/2, -7)\)

The two equations,

\(y=4x-5\)        \(...(i)\)

\(y=2x^2-5x-10\)     \(...(ii)\)

so,

\(-5 = 2x^2 - 9x - 10\) ⇒ \(0 = 2x^2 - 9x - 5\)

we get,

\((x - 5) (2x + 1) = 0\)

∵ \(x = 5 and x = -1/2\)

Now solving for \(y\) by putting the value of \(x\) in equation (i),

\(y = 4(5) - 5\)

∵ \(y = 15\)

\(y = 4(-1/2)^2 - 5\)

∵ \(y = -7\)

Thus, the values are \((5, 15) (-1/2, -7)\)

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The perimeter of this geometric figure is equal to 84x² + 2y units.

Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;

P = 2(L + W) or P = 2L + 2W

Where:

In this scenario, we would determine the perimeter of this geometric figure by adding all of the side lengths as follows;

Perimeter of this figure = 31x² + y + 14x² - y + 23x² + 5y + 16x² - 3y

Perimeter of this figure = 84x² + 2y units.

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Complete Question:

How to do this type of perimeter for algebra?