Lisa Frees and Amelia Ellinger have been operating a catering business for several years. In March, the partners plan to expand by opening a retail sales shop. They have decided to form the business as a corporation called Traveling Gourmet, Inc. The following transactions occurred in March:



Received $80,000 cash from each of the two shareholders to form the corporation, in addition to $2,000 in accounts receivable, $5,300 in equipment, a van (equipment) appraised at a fair value of $13,000, and $1,200 in supplies. Gave the two owners each 500 shares of common stock with a par value of $1 per share.
Purchased a vacant store for sale in a good location for $360,000, making a $72,000 cash down payment and signing a 10-year mortgage note from a local bank for the rest.
Borrowed $50,000 from the local bank on a 10 percent, one-year note.
Purchased food and paper supplies costing 10,200 in March; paid cash.
Catered four parties in March for $4,200; $1,600 was billed and the rest was received in cash.
Sold food at the retail store for $16,900 cash; the food and paper supplies used cost $10,830. (Hint: Record the revenue effect separate from the expense effect.)
Received a $420 telephone bill for March to be paid in April.
Paid $363 in gas for the van in March.
Paid $6,280 in wages to employees who worked in March.
Paid a $300 dividend from the corporation to each owner.
Purchased $50,000 of equipment (refrigerated display cases, cabinets, tables, and chairs) and renovated and decorated the new store for $20,000 (added to the cost of the building); paid cash.



Required:

2. Record in the T-accounts the effects of each transaction for Traveling Gourmet, Inc., in March.

Answer:

92

Step-by-step explanation:

10.00000000000000000 is the same as just 10

so through bodmas/bidmas you know thta the multiplication ha sto be done first so 8 x 10 =80

no add the first value.

12+80=92

Answer:

it would cost $0.74 = 74 cents

Step-by-step explanation:

The cost of one ounce of tomato = $0.37

1 portion of potato gnocchi requires 2 ounces of tomato sauce.

To find the cost of one portion of the potato gnocchi, we have to simply find the cost of 2 ounces of tomato sauce.

That is:

Cost = 2 * 0.37 = $0.74

Hence, one portion of potato gnocchi costs $0.74

Since $1 = 100 cents, the cost in cents will be:

0.74 * 100 = 74 cents

Answer:

24 = x+6

x = 18

Step-by-step explanation:

N = 24

T = x

N = x+6  

24 = x+6

Subtract 6 from each side

24-6 = x+6-6

18 = x

Time has 6 marbles

Nirja has 6 more than Tim,

So you can subtract 6 from 24 to find x:

24-6 = x

Or you can add 6 to x to equal 24:

x + 6 = 24

You don't list the choices but it should be one of these.

Solve:

24 - 6 = x

x = 18

When the the mean height of the 14 boys is 1.56 meters and the mean of all students is 1.515 meters then the mean height for the girls will be 1.48.

From the question, we were given total number of students as  32

But the mean can be calculated as the ratio of all the sum of all the data to the total number of data,

the total height of all students= (32*1.56)=48.48

total height of 14 boys=(14*1.56)=26.64

number of girls is (32-14)=18

The mean height for the girls will be (26.64/1118)=1.48

Therefore, When the the mean height of the 14 boys is 1.56 meters and the mean of all students is 1.515 meters then the mean height for the girls will be 1.48.

Learn more about mean at:

https://brainly.com/question/1136789

#SPJ1

NOTE; This is a complete question , no given option , even on internet.

To show that the point (å, ä) is on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ), we need to demonstrate two things: that the point lies on the line segment, and that it is equidistant from the endpoints.

1. Determine the midpoint of the line segment:

  - The midpoint coordinates (\(x_{mid, y_{mid\)) can be found using the midpoint formula:

    \(x_{mid\) = (x1 + x2) / 2 and \(y_mid\) = (y1 + y2) / 2, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

    In this case, we have (x1, y1) = (Ů, ü) and (x2, y2) = (ĝ, ġ).

2. Calculate the midpoint coordinates:

  - Substitute the values into the midpoint formula to find (x_mid, y_mid).

3. Find the slope of the line segment:

  - Use the slope formula: slope = (y2 - y1) / (x2 - x1).

    Apply the formula to the endpoints (Ů, ü) and (ĝ, ġ) to determine the slope of the line segment.

4. Determine the negative reciprocal of the line segment's slope:

  - Take the negative reciprocal of the slope calculated in the previous step. The negative reciprocal of a slope m is -1/m.

5. Write the equation of the perpendicular bisector:

  - Using the negative reciprocal slope and the midpoint coordinates (\(x_{mid\), \(y_{mid\)), write the equation of the perpendicular bisector in point-slope form: y - \(y_{mid\) = \(m_{perp\) * (x - \(x_{mid\)), where \(m_{perp\) is the negative reciprocal slope.

6. Substitute the point (å, ä) into the equation:

  - Replace x and y in the equation of the perpendicular bisector with the coordinates of the point (å, ä). Simplify the equation.

7. Verify that the equation holds true:

  - If the equation is satisfied when substituting (å, ä), then the point lies on the perpendicular bisector.

By following these steps, you can demonstrate that the point (å, ä) lies on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ).

For more such questions on line segment, click on:

https://brainly.com/question/280216

#SPJ8

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

18

Step-by-step explanation:

40/100 x 45 = 2/5 x 45 = 18

Answer: 18

Step-by-step explanation:

To find the number of times out of 45 Evelyn is on time for class, we need to find 40 percent of 45. 40 percent of 45 is equivalent to writing 0.4 x 45. Since 0.4 x 45 equals 18, we can estimate that Evelyn will be on time to class about 18 times out of 45

For the 21% of a number is 27, the value of 7% of that number is 7.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

⇒ 21% of a number is 27

Let a number is = x

So, We can formulate;

⇒ 27% of x = 27

Solve for x as;

⇒ 27/100 × x = 27

⇒ 27x = 27 × 100

⇒ 27x = 2,700

⇒ x = 2,700 / 27

⇒ x = 100

So, 7% of 100 is,

⇒ 7% of 100

⇒ 7/100 × 100

⇒ 7

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ1

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

More can be learned about fractions at brainly.com/question/1622425

#SPJ1

Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

<95141404393>

14

Step-by-step explanation:

Area of a triangle = 1/2 ×base ×height

= 1÷2 ×(7×4)

=1÷2 ×28

=14

Answer:

4w+4=-6

4w=-6-4

4w=-10

4w/4=-10/4

w=-2.5

Answer:

Hello! answer: there are 7 quarters which are worth 25 cents each 6 dimes which are worth 10 cents each

there are 5 nickels which are worth 5 cents each and there are 8 pennies which are worth 1 cent each

the total value off all of these together is $2.68

Answer:

$428, with the sales tax being $28.

Step-by-step explanation:

400 x 7/100 = 28

400+28=428

Calculating the volume of a rectangular prism is a simple process that involves multiplying the length, width, and height.

Calculating the volume of a rectangular prism is a straightforward process. A rectangular prism is a three-dimensional shape that has a length, width, and height. To find its volume, you simply multiply the length by the width by the height. The formula for calculating the volume of a rectangular prism is:
Volume = length x width x height
For example, if a rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm, its volume would be:
Volume = 5 cm x 4 cm x 3 cm
Volume = 60 cubic centimeters (cm³)
It's important to ensure that all measurements are in the same unit before calculating the volume. For instance, if the length is in meters and the width and height are in centimeters, you would need to convert the length to centimeters to ensure that all measurements are in the same unit before calculating the volume.
In conclusion, calculating the volume of a rectangular prism is a simple process that involves multiplying the length, width, and height. This formula can be used for any rectangular prism regardless of its size or shape.

For more questions on volume

https://brainly.com/question/28298028

#SPJ11

Answer:

(x +2)^2 + (y +2)^2 = .5625

Step-by-step explanation:

(x - h)^2 + (y - k)^2 = r^2

(x + 2)^2 + (y + 2)^2 = .75^2

Answer:  \(y=\frac{-15}{7}x-\frac{4}{7}\)

Slope: -15/7

y-int:-4/7

Step-by-step explanation:

slope: rise/run

\(\frac{x^2-x^1}{y^2-y^1}\)

\(\frac{-7-8}{-4-3}=\frac{-15}{-7} =\frac{-15}{7}\)

thats the answer :)

~rere

Answer:

Step-by-step explanation:

you can use desmos to see the graph

but 4 is the y intercept, so that means you can start from the point (0, 4). then, to draw the rest of the line,  you would go up 3 and right 1 because the slope is 3 or 3/1

The amount that Ethan pays for the video game is 47.988.

From the information illustrated, it should be noted that it was stated that Ethan buys video games for 39.99 sale on 20% tax.

In this case, the amount that he will pay will be:

= Original amount + Tax

= 39.99 + (20% × 39.99)

= 39.99 + 7.998

= 47.988

The amount is 47.988.

Learn more about percentages on;

brainly.com/question/24877689

#SPJ1

Complete question

Ethan buys vidio games for 39.99 sale on 20% tax how much ethan payed

The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.

Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)

So, the image of B,

B' = (-(-4), -5)

B' = (4, -5)

Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Learn more about transformation here: https://brainly.com/question/18065245
#SPJ1

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 65, \sigma = 8.2\)

What is the score that cuts off the bottom 2.5%

This is X when Z has a pvalue of 0.025, so X when Z = -1.96.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.96 = \frac{X - 65}{8.2}\)

\(X - 65 = -1.96*8.2\)

\(X = 48.93\)

The score that cuts off the bottom 2.5% is 48.93.

The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.

It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.

Since slope is the rate of change in y with respect to x;

The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;

Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.

Remarks: The complete question is such that the required slope is -2.

Read more on slope of a linear function;

https://brainly.com/question/28702168

#SPJ1

Answer: the second option

Step-by-step explanation:

i took the assignment

The period of oscillation is 3 seconds

A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.

The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds

Oscillation can also be vibration or revolution or cycle.

Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.

This means that the period of the particle is 3 seconds.

learn more about period of oscillation from

https://brainly.com/question/22499336

#SPJ1

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

  Sin = Opposite/Hypotenuse

  sin(30°) = 5/x

Solving for x, we get ...

  x = 5/sin(30) = 5/0.5

  x = 10

_____

It can be helpful to remember that the side ratios in a 30°-60°-90° triangle are ...

  1 : √3 : 2

That is, the hypotenuse is 2 times the length of the side opposite the 30° angle. Here, that means x = 2×5 = 10, as we found above.

Answer:

\(\textsf{A.} \quad (2+x)^x\left[\dfrac{x}{2+x}+\ln(2+x)\right]\)

Step-by-step explanation:

Replace f(x) with y in the given function:

\(y=(x+2)^x\)

Take natural logs of both sides of the equation:

\(\ln y=\ln (x+2)^x\)

\(\textsf{Apply the log power law to the right side of the equation:} \quad \ln a^n=n \ln a\)

\(\ln y=x\ln (x+2)\)

Differentiate using implicit differentiation.

Place d/dx in front of each term of the equation:

\(\dfrac{\text{d}}{\text{d}x}\ln y=\dfrac{\text{d}}{\text{d}x}x\ln (x+2)\)

First, use the chain rule to differentiate terms in y only.

In practice, this means differentiate with respect to y, and place dy/dx at the end:

\(\dfrac{1}{y}\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}}{\text{d}x}x\ln (x+2)\)

Now use the product rule to differentiate the terms in x (the right side of the equation).

\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)

\(\textsf{Let}\; u=x \implies \dfrac{\text{d}u}{\text{d}x}=1\)

\(\textsf{Let}\; v=\ln(x+2) \implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{1}{x+2}\)

Therefore:

\(\begin{aligned}\dfrac{1}{y}\dfrac{\text{d}y}{\text{d}x}&=x\cdot \dfrac{1}{x+2}+\ln(x+2) \cdot 1\\\\\dfrac{1}{y}\dfrac{\text{d}y}{\text{d}x}&= \dfrac{x}{x+2}+\ln(x+2)\end{aligned}\)

Multiply both sides of the equation by y:

\(\dfrac{\text{d}y}{\text{d}x}&=y\left( \dfrac{x}{x+2}+\ln(x+2)\right)\)

Substitute back in the expression for y:

\(\dfrac{\text{d}y}{\text{d}x}&=(x+2)^x\left( \dfrac{x}{x+2}+\ln(x+2)\right)\)

Therefore, the differentiated function is:

\(f'(x)=(x+2)^x\left[\dfrac{x}{x+2}+\ln(x+2)\right]\)

\(f'(x)=(2+x)^x\left[\dfrac{x}{2+x}+\ln(2+x)\right]\)

the answer is c

Step-by-step explanation:

it is because you have to times 3 and 4 and 3 and 9

Answer:

The answer is 27/ 12x - 9 = 28

Step-by-step explanation:

All you have to do is multiply 3 X 4x and gives you 12x and multiply 3 X 9 and gives you 27.

3 ( 4x - 9 ) = 28 = 12x - 27 = 28

Hope this helped.

♡(ŐωŐ人)

A 3rd degree polynomial function with real coefficients satisfying the given condition. 2 and -3 +3i are zeros; leading coefficients is 1, is:

f(x) = x³ + 4x² + 6x - 36

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

A polynomial function is one that uses only non-negative integer powers or positive number coefficients of such a variables in such an expression like the quadratic function, cubic equation, and so on.

we have to find third degree polynomial, so, n = 3

Since 2 is its zero ,so, x - 2 is its factor

As complex zeros occur in conjugate pairs .

So,other factors are (x + (3 + 3i)) and (x + (3 - 3i)) ,

Firstly, we find the product of these two factors:

= x² + 6x + 9 - 9i²

= x² +6x +9 - 9(-1)

= (x² +6x + 18)

Now multiply (x² +6x + 18) with (x - 2) we get f(x):

= (x² +6x + 18) (x - 2)

= x³ - 2x² + 6x² - 12x + 18x - 36

= x³ + 4x² + 6x - 36

Correct option: b

To know more about polynomial function refer to:

https://brainly.com/question/7693326

#SPJ1