The brightness of certain stars can fluctuate over time. Suppose that the brightness of one such star is given by the following function. B (t) = 11.3 -1.8 sin 0.25t In this equation, B (t) represents

The preparation of the stockholders' equity statement for the year ended December 31, 2021, is as follows:

Court Casuals

Statement of stockholers' equity

December 31, 2021

Common Stock                        $116,000

Additional Paid-in Capital  $5,326,000

Retained Earnings              $3,677,000

Treasury Stock                         $-2,000

Total stockholders' equity  $9,117,000

The stockholders' equity statement includes the common stock, additional paid-in capital, retained earnings, and the subtraction of the treasury stock.

Court Casuals

Stockholers' equity on January 1, 2021

Common Stock $90,000

Additional Paid-in Capital $4,100,000

Retained Earnings $3,000,000

Net income for the year, 2021, = $900,000

May 18: Cash $1,300,000 Common Stock $26,000 Additional Paid-in Capital $1,274,000 (26,000 x $50 - $26,000)

May 31: Treasury Stock $4,500 Additional Paid-in Capital $175,500 (4,500 x $40 - $4,500) Cash $180,000

Jul 1: Cash Dividend $223,000 (90,000 + 26,000 - 4,500) x $2 Dividends Payable $223,000

July 31: Dividends Payable $223,000 Cash $223,000

August 18: Cash $130,000 Treasury Stock $2,500 Additional Paid-in Capital $127,500 (2,500 x $52 - $2,500)

Statement of Retained Earnings, December 31, 2021:

Beginning balance  $3,000,000

Net income                 $900,000

Dividends                     -223,000

Ending balance        $3,677,000

Beginning balance  $90,000

May 18: Cash              26,000

Ending balance       $116,000

Beginning balance  $4,100,000

May 18: Cash              1,274,000

May 31: Cash                -175,500

August 18: Cash            127,500

Ending balance      $5,326,000

May 31: Cash                 $4,500

August 18: Cash             -2,500

Ending balance            $2,000

Thus, we can summarize from the stockholders' equity that Court Casuals has outstanding shares of 114,000 (116,000 - 2,000) at $1 par, which is the difference between the ending balances of the common stock and the treasury stock accounts, after reflecting the equity transactions for the year.

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Answer:

Te conozco y sé qué

Como Nuevo de fabrica el otro

Answer:

x = -24

Step-by-step explanation:

1. Subtract 2 from -46 to cancel out the addition. 2x = -48

2. Divide both sides by 2. x = -24

Answer:

$11.10

Step-by-step explanation:

Answer:

Step-by-step explanation:

18.50 x 3

Answer:

the answer would end up being: D

Answer:

See below

Step-by-step explanation:

each term is the sum of the two before it

2 3 5 8 13 21 34

Answer:

a movie about a asian kid and a old man who take a ballon house to the sky. Step-by-step explanation:

Answer:

\(\displaystyle y' = \frac{-5}{2x^6}\)

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle y = \frac{1}{2x^5}\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

\(TU = 2QS = 2(7)\)

\(\implies \bf TU = 14\)

Answer:

(3, 2)

Step-by-step explanation:

4x + 5y = 22

2x + 3y = 12

4x + 5y = 22

-4x - 6y = -24

-y = -2

y = 2

4x + 5(2) = 22

4x = 12

x = 3

Answer: (3, 2)

Answer:

y = 5x + 7

Step-by-step explanation:

I am guessing, but you are leaving something out.

y = the total cost.

x = the number of shirts.

Answer:

The total cost for the 7 shirts including tax is 7n + 6

Step-by-step explanation:

We want to find the Cost of 7 t-shirts and $6 tax.

Now, the let the cost of the 7 shirts be n. Thus, we can now say that cost of 7 shirts is 7n.

Now, since there is an additional cost of $6 for tax, we can now say that the total cost for the 7 shirts including tax is expressed as;

7n + 6

Thus, we conclude that the total cost for the 7 shirts including tax is 7n + 6

2/7 + 1/4 = 15/28 ≅ 0.5357143

Add: 2/7 + 1/4 = 2 · 4/7 · 4 + 1 · 7/4 · 7 = 8/28 + 7/28 = 8 + 7/28 = 15/28 

It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(7, 4) = 28. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 4 = 28. In the following intermediate step, it cannot further simplify the fraction result by canceling.In other words - two sevenths plus one quarter is fifteen twenty-eighths.

According to the ratio, it doesn't make sense to have a total of 9 people in the dance competition.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

The ratio of boys to every girls is 3:2 in a dance competition.

Let's find if it will make sense to have a total of 9 people in the competition.

Therefore,

number of boys = 3 / 5 × 9 = 27 / 5 = 5.4

number of girls = 2 / 5 × 9 = 18 / 5 = 3.6

Therefore, it doesn't make sense to have 9 people in the competition because the actual number of boys and girls will be in decimal which is impossible.

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Answer:

Step-by-step explanation:

A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.

≧◉◡◉≦

Given:

A bag contains 21 red marbles, 24 green marbles, and 21 blue marbles.

To find:

What color marble will you most likely choose if you choose a marble at random from the bag.

Solution:

We have,

Number of red marbles = 21

Number of green marbles = 24

Number of blue marbles = 21

Total number of marbles = 21+24+21

                                         = 66

Now,

\(P(Red)=\dfrac{21}{66}\)

\(P(Green)=\dfrac{24}{66}\)

\(P(Blue)=\dfrac{21}{66}\)

The number of green marbles is largest. So, the probability of getting a green marble is largest.

Therefore, you will most likely choose green marble.

Answer:

The zeros of a function are the points where the graph of the function crosses the x-axis.

Clearly Graph in option D could be the function which has 5 zeroes as it passes through the axis at 5 points.

Step-by-step explanation:

The graph of the function will intersect the x-axis five times. Then the correct option is D.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

If the function f has five distinct zeros.

Then the graph represents the complete graph of the function in the xy-plane will be

We know that the zeroes of the function are the intersection points of the x-axis and the function.

That means the graph will intersect the x-axis five times.

Then the correct option is D.

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Since M is the centroid of triangle ΔGHI, so KI = 10

The centroid of a triangle is the point at which the three medians of the triangle intersect.

In triangle ΔGHI, M is the centroid of the triangle. If HI = 20, we need to find KI. We proceed as follows.

We know that M is the centroid of the triangle and is the center point where the three medians of the triangle intersect.

Now, GK is a median which passes through HI at K.

Since GK is a median, this implies that HK = KI.

Also, HK + KI = HI

So, since HK = KI, we have that

HK + KI = HI

KI + KI = HI

2KI = HI

KI = HI/2

Given that HI = 20, substituting this into the equation, we have that

KI = HI/2

= 20/2

= 10

So, KI = 10

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A permutation is an arrangement of outcomes in which the order does matter.

A combination is an arrangement of outcomes in which the order does not matter.

In this case, for example, the password HI is different from the password IH. In both cases, the outcomes (letters H and I) are the same, but the order of them changes the arrangement (the password). Therefore, the problem involves a permutation because the order of letters selected does matter

Answer:

20,853

Step-by-step explanation:

me right always right

Answer:

20,853

Step-by-step explanation:

To find the product of something you must multiply. 2317x9=20853, which can be found using a calculator

Answer: The answer is 144 grams of zinc

Step-by-step explanation:

Hey there!☺

\(Answer:\boxed{x=-46}\)

\(Explanation:\)

\(_-67)-(-21)=x\)

In our first step, we will simplify both sides of the equation:

\(-67+21=x\)

Now combine like terms:

\((-67+21)=x\)

Now flip the equation:

\(-46=x\rightarrowx=-46\)

x=-46 is your answer.

Hope this helps!☺

Answer: -46

Step-by-step explanation: Because we are subtracting two negative number, we are moving towards zero. So (-67) - (-1) = -66. We now have -20 left so we subtract that from -66. That will get us -46. Hope this helps.

Step-by-step explanation:

|x-4|=6x+16 To find the absolute value :

x - 4 = 6x + 16 or x - 4 = -6x - 16 for first equation

x - 4 = 6x + 16 export like terms to the same side of the equation

-4 - 16 = 6x - x (The terms chages signs from negative to positive and from positive to negative when exported to the other sideof the equation)

-20 = 5x divide by 5

-4 = x

For the second equation

x - 4 = -6x - 16 export like terms to the same side of the equation

x + 6x = -16 + 4

7x = -12

x = 1.7 approximately

Answer:     It would be 17 for sure- or 47

Step-by-step explanation:

But i think it's 17 bc/because its says- Rayan gives away so does Gabreille - So i think it would be 17 bc there saying take away!

As the sample size increases, the variability among the sample means decreases, option A.

The number of observations used to calculate estimates for a certain population is known as the sample size. The sample size was determined by drawing from the population. Sampling is the practise of choosing a portion of the population from which to draw conclusions about the characteristics of the entire population. A subset of a population is chosen for study based on the number of entities in it.

Population data is a sizable collection of information that covers the whole population under investigation. All the components that are investigated for the research make up a population.

Yet, sample data is a component of the population. Generally, computing the entire population is rather cumbersome and challenging. In this instance, a representative sample of the population is chosen. Sample data refers to this sample.

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Answer:

x = 28

Step-by-step explanation:

4 + 2 ( x - 8) = 44

4 + 2x - 16 = 44

2x - 12 = 44

2x - 12 + 12 = 44 + 12

2x = 56

x = 28

The dimensions of the gauge, stop, lock, and mount are as follows: Gauge: 3x2, Stop: 2x1, Lock: 2x2, Mount: 3x3

The dimensions were determined by counting the number of grid squares in each object. For example, the gauge is 3x2 because it is made up of 3 rows and 2 columns of grid squares. The stop is 2x1 because it is made up of 2 rows and 1 column of grid squares. The lock is 2x2 because it is made up of 2 rows and 2 columns of grid squares. The mount is 3x3 because it is made up of 3 rows and 3 columns of grid squares.

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#Complete Question:- FOLLOW INSTRUCTIONS A OR B AS ASSIGNED. COUNT THE GRID TO DETERMINE DIMENSIONS. SCALE: FULL SIZE. A: DIMENSION COMPLETELY OMITTING NUMERALS. B: DIMENSION COMPLETELY WITH NUMERALS.

1: GAUGE

2: STOP

3: LOCK

4. MOUNT

Answer:

Step-by-step explanation:

V=πr^2h is the equation for volume of a cylinder.

the radius is half of 50 so 50/2=25.

then 75 is the height so you plug the vaules in

V=(3.14)((25)^2)(75)

then multiply and you get 147187.5 rounded to the nearest whole number that is 147188

hope this helps :)

Answer:

52

Step-by-step explanation:

231-23=208

208÷4=52

Answer:

52

Step-by-step explanation:

Answer:

your slope would be -3/2

Answer:

-3/2

Step-by-step explanation:

Slope is written rise over run. To figure out the slope, the easiest way is to pick two points on the line. There are already two visible points, so we will use those. If you go up 6 and left 4 on the graph from the bottom point, you can find both of the points. So currently, the slope is -6/4. This can be simplified to the final answer, which is -3/2.

Hope this helps!! Have an amazing day (｡･∀･)ﾉﾞ