The time study analyst should account for at least 55 observations in order to calculate the mean time per item with a 95.5% confidence level and a 0.4 minute margin of error.
We can use the sample size calculation formula in a confidence interval to get the number of observations required for a time study with the specified parameters:
[tex]n = (Z * \sigma / E)^2[/tex]
Where:
n = sample size
Z = The target confidence level's Z-score (95.5% translates to roughly 1.96)
σ = procedure standard variation (1.5 minutes per piece)
E = margin of error (0.4 minutes)
Plugging in the values, we can calculate the sample size:
[tex]n = (1.96 * 1.5 / 0.4)^2[/tex]
[tex]n = (2.94 / 0.4)^2[/tex]
[tex]n = 7.35^2[/tex]
n ≈ 54.02
We round up the sample size to the next whole number because we can't have a portion of an observation:
n = 55
Therefore, the time study analyst should prepare for at least 55 observations to estimate the mean time per item with a margin of error of 0.4 minutes and a confidence level of 95.5%.
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Can you show me how to answer this question?
Answer:
Rollerskates: 9 miles/hr
Bike: 17.5 miles/hr
Step-by-step explanation:
How fast→ referring to speed
Speed= distance/ time
Rollerskates:
Distance= ¾ mile
Time= 5 mins
Since the question wants the speed to be in miles per hour, convert the time from minutes to hours.
60 mins= 1 hr
1 min= 1/60 hr
Time= 5/60 hr
Speed
[tex] = \frac{3}{4} \div \frac{5}{60} \\ = \frac{3}{4} \times \frac{60}{5} \\ = 9 \: miles/hr[/tex]
Bike:
Distance= 3.5 miles
Time
= 12 mins
= 12/60 hr
= ⅕ hr
Speed
= distance ÷ time
= 3.5 ÷ ⅕
= 3.5 ×5
= 17.5 miles/hr
Order the numbers from least to greatest.1.1, three-fourths, negative 0.9, negative 1, 1 and one-half A number line going from negative 2 to positive 2. First, write the fractions as decimals. Three-fourths is and 1 and one-half is . Next, plot the numbers on the number line. The least number is . The greatest number is . The correct order from least to greatest is .
Answer:
Three-fourths is
✔ 0.75
and
1 and one-half is
✔ 1.5
.
The least number is
✔ –1
.
The greatest number is
✔ 1 1/2
.
The correct order from least to greatest is
✔ –1, –0.9, 3/4, 1.1, 1 1/2
.
Step-by-step explanation:
lmk if this is correct !
Answer:
the answer
0.75
1.5
-1
1 1/2
-1, 0.9, 3/4, 1.1, 1 1/2
Step-by-step explanation:
hope it helps!
If f(x)=3x+2, find the following value:
f(4)=?
Answer:
f(4)=14
Step-by-step explanation:
f(x)=3x+2
f(4)=3x+2
f(4)=3*4+2
f(4)=12+2
f(4)=14
Hope this helps!
Select the correct answer.
Answer:
The correct answer is the third option
C. 84x10
Which equation has non-real solutions
Answer: bro u need to give us the answer choices not just the answer
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints.
(-2,3) and (5, -6)
Answer:
The midpoint is ( 1.5, -1.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2
( -2+5)/2 = 3/2 =1.5
To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2
( 3-6)/2 = -3/2 =-1.5
The midpoint is ( 1.5, -1.5)
50 point to the person that can answer this:
The expression 1/2bh gives the area of a triangle with a base length of b and a height of h.
Which statement is true?
A. The coefficient of is b.
B. The constant in the expression is .
C. There is one term in the expression.
D. There is one variable in the expression.
Answer:
B. The constant in the expression is 1/2Step-by-step explanation:
Given formula for the area of a triangle
A = 1/2bhStatements to confirm
A. The coefficient of is b.
False. b is variable, 1/2 is coefficientB. The constant in the expression is 1/2
TrueC. There is one term in the expression.
False. There are 3 terms, one constant and two variablesD. There is one variable in the expression.
False. There are two variables, b and hNote.
Assumed 1/2 is given in Option B, otherwise all statements are false.
Answer:
The correct answer is C. There is one term in the expression
Step-by-step explanation:
a music executive wants to predict the number of units a digital music retailer will sell per day based on the retailer's number of years of experience in the market. based on the regression output table below, how much variation in the number of units sold does years of experience explain?
we can say that years of experience explain 95.4% of the variation in the number of units sold per day by the digital music retailer. years of experience explain approximately 95.4% of the variation in the number of units sold by the digital music retailer.
In the given problem, we need to find out how much variation in the number of units sold does years of experience explain. The given problem can be solved with the help of regression analysis.Regression Analysis:Regression analysis is the method used to understand how one variable is affected by another variable. It shows the relationship between two variables with the help of a line of best fit. The line of best fit can be represented with the help of the following equation:y = a + bxwhere,y = dependent variablea = interceptb = slope of the line of best fitx = independent variableLet's represent the given data with the help of the table below:Given DataTable:We know that, y = a + bxWe also know the following terms: * y-intercept (a) = 21.01 * Slope of the line of best fit (b) = 3.2Hence, we can write the following equation:y = 21.01 + 3.2xWe can interpret the above equation as follows:For each additional year of experience in the market, the digital music retailer sells an additional 3.2 units per day.The coefficient of determination (R²) is a statistical measure that shows how much of the variance in the dependent variable is explained by the independent variable(s). In the given regression analysis table, the value of R² is 0.954.
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The length of a rectangle is 2 less than twice the width. If the perimeteris 11m, find the length and width.
Answer:
Length: 3, Width: 5/2
Step-by-step explanation:
The width would be w, so the length would be 2w-2. set the equation to equal 11, and set the problem so its 2w-2+2w-2+w+w, or 6w-4=11. w=5/2, then plug in to get your dimensions
Please help With this one will give a lot of points
Answer:
not really sure can’t see the problem to good but C?
Step-by-step explanation:
hope this helped tho. cross multiple (btw if you search it on google it will help you)
Solve the quadratic equation using square roots method.Leave the answer in irrational form. 15-6x-2x^2=0 HELP
Answer:
The answer is
[tex]x_1 = \frac{ - 3 + \sqrt{39} }{2} \: \:, \: \: \: \: x _2 = \frac{ - 3 - \sqrt{39} }{2} \\ [/tex]
Step-by-step explanation:
15 - 6x - 2x² = 0
Rewriting it we have
2x² + 6x - 15 = 0
Using the quadratic formula that's
[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\ [/tex]
From the question
a = 2 , b = 6 , c = - 15
So we have
[tex]x = \frac{ - 6 \pm \sqrt{ {6}^{2} - 4(2)( - 15) } }{2(2)} \\ = \frac{ - 6\pm \sqrt{36 + 120} }{4} \\ = \frac{ - 6\pm \sqrt{156} }{4} \: \: \: \: \: \: \: \: \: \: \\ = \frac{ - 6\pm2 \sqrt{39} }{4} \: \: \: \: \: \: \: \: \: \\ = - \frac{6}{4} \pm \frac{2 \sqrt{39} }{4} \: \: \: \: \: \: \: \: \\ = - \frac{3}{2} \pm \frac{ \sqrt{39} }{2} \: \: \: \: \: \: \: \: \: \: \\ = \frac{ - 3\pm \sqrt{39} }{2} \: \: \: \: \: \: \: \: \: \: \: [/tex]
Separate the solutions
We have the final answer as
[tex]x_1 = \frac{ - 3 + \sqrt{39} }{2} \: \: \: \: \: \: x _2 = \frac{ - 3 - \sqrt{39} }{2} \\ [/tex]
Hope this helps you
Brianna bought 134 pounds of cheese that cost $3.00 per pound. What is the total cost of the cheese?
Answer:
402.00$
Step-by-step explanation:
Just multiply the amount by the cost?
Answer:
$402
Step-by-step explanation:
A flashlight shines straight up into the sky, 9 ft to the right of a tent located at the origin. For which values of A, B, and C will Ax+By=C represent the beam of light?
please say the answer as a= b= c=
Answer:
The right answer is "a = 1, b = 0, c = 9"
Step-by-step explanation:
As the direction would have to be vertical, this same direction should therefore seem to have a consistent or constant x-coordinate.
∴ The equation a line is:
⇒ [tex]x=9[/tex]
On comparing it with:
⇒ [tex]Ax+By=C[/tex]
We get,
[tex]A=1\\[/tex]
[tex]B=0[/tex]
[tex]C=9[/tex]
What value of x makes this equation true?
0.5x - 10 = 0.3x + 20
Answer:
[tex]x[/tex] = 150
0.5[tex]x[/tex] - 10 - 0.3[tex]x[/tex] + 20 = 0.3[tex]x[/tex]
0.2[tex]x[/tex] - 10 = 20
0.2[tex]x[/tex] - 10 + 10 = 20 + 10
0.2[tex]x[/tex] = 30
[tex]\frac{0.2x}{0.2}[/tex] = [tex]\frac{30}{0.2}[/tex]
Answer = 150
Answer: x = 150
Step-by-step explanation: Since our two decimals in this problem, .5 and .3 are both taken to tenths place, we can get rid of the decimals by multiplying both sides of the equation by 10.
This moves the decimals over 1 place to
the right and we have 5x - 100 = 3x + 200.
Next we simply solve from here by subtracting
3x from both sides to get 2x - 100 = 200.
Then adding 100 to both sides to get 2x = 300.
Now divide both sides by 2 and we have x = 150.
i need to know this it is a very serious 3/5 divided by 4
Answer:
0.15 or 3/20
Step-by-step explanation:
First to make it easier we turn the fraction (3/5) into a decimal. Which is 0.6. So then, 0.6 ÷ 4 = 0.15. And if you want we can turn 0.15 into fraction which is 3/20.
what is 10 + x = 23 please help me
Answer:
x = 13
Step-by-step explanation:
x=23−10
x=13
Answer:
x=13
Step-by-step explanation:
subtract 10 from both sides
x = 13
that's ur answer
Ben fills a glass with orange juice and lemonade in the ratio 1:4 by volume.
He mixes the liquid that is in the glass.
Ben drinks 1/4
of this liquid.
He then fills the glass using orange juice.
Work out the ratio of orange juice to lemonade, by volume, that is now in the glass.
Give
your ratio in its simplest form.
O = Orange, L = Lemonade
1/4 O + 3/4 L = x
Drink 1/4 of x, ratio of O and L doesn't change
1/4 O + 3/4 L = 3x/4
Fill up by adding 1/4 O
So it becomes 1/4 O + 1/4 O + 3/4 L = x
1/2 O + 3/4 L = x
Ratio of O to L = 1/2 divided by 3/4
= 1/2 * 4/3
Ratio of orange to Lemonade is 2:3
The ratio of orange juice to lemonade, by volume, is now in the glass 2/3.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Suppose the volume of orange is O while Lemonade is L.
Total volume V = 1/4 O + 3/4 L
Drink 1/4 of V, the ratio of O and L will not go to change
(3/4)V = 1/4 O + 3/4 L
Adding (1/4)O
(1/4)O + (1/4)O + (3/4)L = V
V = (1/2)O + (3/4)L
The ratio of O to L = (1/2)/(3/4)
⇒ (1/2)(4/3) = 4/6 = 2/3
Hence "The ratio of orange juice to lemonade, by volume, is now in the glass 2/3".
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Please help, I'm doing graphs and it wont explain what an interval is.
Answer:
Step-by-step explanation:
In mathematics, a interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in between.
how does the multiplicity of a zerio affect te graph of the polynomial funciton
The multiplicity of a zero in a polynomial function affects the graph of the function.
A zero of a polynomial function is any value of the independent variable that results in the function outputting a value of zero. The multiplicity of a zero is the number of times that the factor (x - c) appears in the polynomial. The effect of the multiplicity of a zero on the graph of a polynomial function is as follows:
1. A zero with even multiplicity means that the graph touches the x-axis but does not cross it.
2. A zero with odd multiplicity means that the graph crosses the x-axis.
3. A zero with a multiplicity greater than 1 means that the graph will be flat (horizontally tangent) at that x-value. This flatness will be more extreme (flatter) as the multiplicity of the zero increases.
4. A zero with multiplicity 1 does not have any special behavior; the graph just crosses the x-axis at that x-value.
Therefore, the multiplicity of a zero is a crucial factor to consider when analyzing the graph of a polynomial function. It provides information about how the graph behaves as it approaches and passes through that x-value and how steeply the graph changes direction at that point. A polynomial can have multiple zeros, each with its own multiplicity, and analyzing these zeros can help to build a picture of how the function behaves over its entire domain.
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The radius of a cylinder is 4 inches and the height is 5 inches. Which statements are correct? Check all that apply.The area of the two bases is 16π in2.The area of the two bases is 32π in2.The lateral area is 40π in2.The lateral area is 72π in2.The total surface area is 72π in2.The Correct Answer is: 2,3,5
The radius of a cylinder is 4 inches and the height is 5 inches. The surface area is equal to the sum of the areas of all the faces of a solid.
A cylinder has two circular bases, and each circular base has an area of πr² square units, where r is the radius of the base. The lateral area of a cylinder is the area of the cylinder's curved surface, which is the height of the cylinder multiplied by the cylinder's base perimeter. It is given by the formula: 2πrh. The surface area of the cylinder is obtained by summing the lateral area and two times the area of the base. Hence, we have:
Surface area = 2πrh + 2πr²
Let us calculate the area of the two bases by plugging the given values into the formula.
Area of one base = πr²= π (4)²= 16π square inches
Therefore, the area of the two bases is 2 × 16π = 32π square inches. Thus, statement 2 is correct
Lateral area of a cylinderLateral area = 2πrh= 2 × π × 4 × 5= 40π square inches.
Thus, statement 3 is correct.
The total surface area of the cylinderTotal surface area = Lateral area + 2 × Area of base= 2πrh + 2 × πr²= 2πr(h + r)= 2π × 4(5 + 4)= 72π square inches.
Therefore, statement 5 is correct.
Therefore, the following statements are correct:Statement 2: The area of the two bases is 32π square inches.Statement 3: The lateral area is 40π square inches.Statement 5: The total surface area is 72π square inches are true.Therefore, the correct statements are 2, 3, and 5.
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answer asap! find the scale factor of the dilation
The scale factor used in the dilation of the polygons is 0.5
Determining the scale factor used in the dilationFrom the question, we have the following parameters that can be used in our computation:
Big = 2
Small = 1
The scale factor is calculated as
Scale factor = Small/Big
Substitute the known values in the above equation, so, we have the following representation
Scale factor = 1/2
Evaluate
Scale factor = 0.5
Hence, the scale factor used in the dilation of the polygons is 0.5
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Lame Example Furniture Company makes two products for its adoring public: chairs (C)and tables (T). Each chair requires 5 hours of labor (L) and 4 linear feet of rich mahogany (M), and each table requires 3 hours of labor and 20 linear feet of rich mahogany. The company has 240 labor hours available this week, and the warehouse has 700 linear feet of rich mahogany available. Profit for each chair is $150 and for each table is $750. At the optimal solution, how many tables should be produced? What is the maximum profit?
Maximize: Profit = 150C + 750T
Subject to:
5C + 3T ≤ 240 (Labor constraint)
4C + 20T ≤ 700 (Material constraint)
C ≥ 0
T ≥ 0
To determine the optimal production quantity of tables and the maximum profit, we can set up a linear programming problem based on the given information.
Let's define the decision variables:
Let C represent the number of chairs produced.
Let T represent the number of tables produced.
Objective function:
The objective is to maximize profit. The profit for each chair is $150, and the profit for each table is $750. Therefore, the objective function can be expressed as:
Profit = 150C + 750T
Constraints:
Labor constraint: The total labor hours available is 240, and each chair requires 5 hours, while each table requires 3 hours. So the labor constraint can be represented as:
5C + 3T ≤ 240
Material constraint: The warehouse has 700 linear feet of rich mahogany available, and each chair requires 4 linear feet, while each table requires 20 linear feet. Therefore, the material constraint can be expressed as:
4C + 20T ≤ 700
Non-negativity constraint: Since we cannot produce a negative quantity of chairs or tables, both C and T should be greater than or equal to zero:
C ≥ 0
T ≥ 0
Now, we can solve the linear programming problem to find the optimal solution:
Maximize: Profit = 150C + 750T
Subject to:
5C + 3T ≤ 240 (Labor constraint)
4C + 20T ≤ 700 (Material constraint)
C ≥ 0
T ≥ 0
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you have an unlimited amount of water, but you need to measure 100 ounces into the target cup. you only have three cups: one that measures 127 ounces, one that measures 21 ounces, and one that measures 3 ounces (figure 9.19). how would you use those cups to measure the necessary 100 ounces?
Measure exactly 100 ounces using the given cups with Capacities of 127 ounces, 21 ounces, and 3 ounces.
To measure exactly 100 ounces using the cups with capacities of 127 ounces, 21 ounces, and 3 ounces, you can follow the steps below:
1. Start by filling the 127-ounce cup completely with water.
2. Pour the water from the 127-ounce cup into the 21-ounce cup. This leaves 106 ounces (127 - 21) in the 127-ounce cup.
3. Empty the 21-ounce cup.
4. Pour the remaining 106 ounces from the 127-ounce cup into the 21-ounce cup. This fills the 21-ounce cup completely and leaves 85 ounces (106 - 21) in the 127-ounce cup.
5. Empty the 21-ounce cup.
6. Pour the 85 ounces from the 127-ounce cup into the 21-ounce cup. This fills the 21-ounce cup and leaves 64 ounces (85 - 21) in the 127-ounce cup.
7. Empty the 21-ounce cup.
8. Pour the 21 ounces from the 127-ounce cup into the 21-ounce cup. This fills the 21-ounce cup completely and leaves 43 ounces (64 - 21) in the 127-ounce cup.
9. Empty the 21-ounce cup.
10. Pour the 43 ounces from the 127-ounce cup into the 21-ounce cup. This fills the 21-ounce cup and leaves 22 ounces (43 - 21) in the 127-ounce cup.
11. Empty the 21-ounce cup.
12. Pour the 3 ounces from the 127-ounce cup into the 3-ounce cup. This fills the 3-ounce cup completely and leaves 19 ounces (22 - 3) in the 127-ounce cup.
13. Empty the 3-ounce cup.
14. Pour the 19 ounces from the 127-ounce cup into the 3-ounce cup. This fills the 3-ounce cup and leaves 16 ounces (19 - 3) in the 127-ounce cup.
15. Finally, pour the 16 ounces from the 127-ounce cup into the 21-ounce cup. Now, the 21-ounce cup contains 16 ounces, and the desired 100 ounces is left in the 127-ounce cup.
By following these steps, you can measure exactly 100 ounces using the given cups with capacities of 127 ounces, 21 ounces, and 3 ounces.
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if you have a slope of 1/3,what would you do on a graph?
A.go up 1 and right 3
B.go up 3 and 1 right
Answer:
A, go up 1 and right 3
Step-by-step explanation:
when looking at fractions as slope, the numerator is how far up you go, and the denominator is how far over you go.
(I)
Maximize
Subject to
5x
1
+8x
2
3x
1
+x
2
≤6
2x
1
+4x
2
≥5
x
1
≥1
x
2
≥0
(Hint: You may want to make a suitable change of variable concerning x
1
.)
Minimize
Subject to
3y
1
2
+2y
2
+2y
3
y
1
2
+4y
2
+2y
3
≥1
6y
1
2
+5y
2
−4y
3
≥2
5y
1
2
+2y
2
+y
3
≥3
y
2
,y
3
≥0,y
1
is free.
(Hint: You may want to make a suitable change of variable and then solve the dual problem.)
For the given problem, the objective function is to maximize 5x₁ + 8x₂ subject to the constraints 3x₁ + x₂ ≤ 6, 2x₁ + 4x₂ ≥ 5, x₁ ≥ 1, and x₂ ≥ 0.
To solve this problem, we can use the graphical method. Firstly, we plot the feasible region by graphing the inequalities and finding the overlapping region. The feasible region is the area where all the constraints are satisfied. In this case, the feasible region is a polygon bounded by the lines 3x₁ + x₂ = 6, 2x₁ + 4x₂ = 5, x₁ = 1, and x₂ = 0. Next, we evaluate the objective function 5x₁ + 8x₂ at the vertices of the feasible region. The vertex that gives the maximum value of the objective function is the optimal solution. We find the maximum by calculating the objective function at each vertex and comparing the values. In the given problem, the maximum value is obtained at one of the vertices of the feasible region. Therefore, the optimal solution lies at that vertex. The main answer would be the coordinates of that vertex.
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find a particular solution to the differential equation. 9. y" + 3y = -9 10. y" + 2y' - y = 10 11. y"(x) + y(x) = 24 12. 2x' + x = 312 13. y" – y + 9y = 3 sin 3t 14. 2z" +z = 9e2 dy dy 15. 5 +6y = xe 16. 0"() - 0(t) = sint dx² dx 17. y" + 4y = 8 sin 2t 18. y" – 2y + y = 8e 19. 4y" + 11y' – 3y = –21e31
We need to find the particular solution for the differential equations given below:
y" + 3y = -9
y" + 2y' - y = 101
y"(x) + y(x) = 24
2x' + x = 312
y" – y + 9y = 3 sin 3t
2z" +z = 9e2 dy dy
5 +6y = xe
0"() - 0(t) = sint dx² dx
y" + 4y = 8 sin 2t
y" – 2y + y = 8e
4y" + 11y' – 3y = –21e31
y" + 3y = -9
Homogeneous solution: Let
y = e^(mx)dy/dx = me^(mx)y" = m² e^(mx)y" + 3y = m² e^(mx) + 3e^(mx) = 0(m² + 3) e^(mx) = 0 or m² = -3m = + i√3 or - i√3
General solution: yh = c1 cos (√3 x) + c2 sin (√3 x)
Particular solution: For particular solution, let yp = A, so y'p = 0 and y''p = 0
Substitute the values in the differential equation.
y" + 3y = -9 0 + 3A = -9 A = -3
Therefore, the particular solution is yp = -3
General solution: y = c1 cos (√3 x) + c2 sin (√3 x) - 3
y" + 2y' - y = 10
Homogeneous solution: Let y = e^(mx)dy/dx = me^(mx)y" = m² e^(mx)y" + 2y' - y = m² e^(mx) + 2me^(mx) - e^(mx) = 0m² + 2m - 1 = 0 or m = -1 ± √2
General solution: yh = c1 e^(-x + √2 x) + c2 e^(-x - √2 x)
Particular solution: For particular solution, let
yp = Ax + B, so y'p = A and y''p = 0
Substitute the values in the differential equation.y" + 2y' - y = 10 0 + 2A - Ax - B = 10 2A - A = 10 and - A - B = 0 A = 5 and B = -5
Therefore, the particular solution is yp = 5x - 5General solution: y = c1 e^(-x + √2 x) + c2 e^(-x - √2 x) + 5x - 5
The given differential equations are solved to find the particular solution using the homogeneous solution. For homogeneous solutions, we let y = e^(mx) and find the general solution of the given differential equations. For particular solutions, we substitute the values in the given differential equations and solve for A, B, and other unknown constants. Finally, the general and particular solutions are added to get the solution of the given differential equations.
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What is the slope of y = -4?
Answer:
The slope is 0
Step-by-step explanation:
y = -4 is a horizontal line
Horizontal lines have a slope of zero
Carl, Deb and Ellen formed an equal general partnership.
They contributed the following assets:
Carl: Asset Basis FMV Equipment (all Sec. 1245 gain) $1,000 $3,000 Goodwill 0 5,000 Accounts receivable 0 1,000
Deb: Asset Basis FMV Cash $ 3,000 $3,000 Whiteacre 10,000 4,000 Installment Note 500 2,000
Ellen: Asset Basis FMV Cash $7,000 $7,000 Greenacre 1,000 2,000
Carl had held the equipment for two years and generated the goodwill in his sole proprietorship business, which he had been operating for ten years. Deb had held Whiteacre for five years prior to contribution and had held it for investment purposes. Her installment note was from the sale of land she had held for investment for five years prior to sale. Ellen had held Greenacre for two years prior to contribution and had held it for investment purposes.
a) What are the tax consequences to each of Carl, Deb and Ellen?
b) What are the tax consequences to the partnership?
c) Construct a balance sheet to reflect the situation of the partners and partnership at the time of formation.
Carl, Deb, and Ellen created an equal general partnership by pooling their assets. Because the assets were contributed to the partnership in exchange for ownership interests, there was no gain or loss recognition for Carl, Deb, or Ellen.
The partners will maintain their own capital accounts to reflect the amount and composition of their initial investment in the partnership. The partnership received Carl's equipment, which had a $1,000 basis but a $3,000 fair market value, as well as his goodwill, which had a $0 basis but a $5,000 fair market value. Section 1245 of the Internal Revenue Code applies to depreciable personal property (such as equipment), which means that the difference between basis and fair market value (in this case, $2,000) is taxable as ordinary income. Because the property has been kept for two years, it is a long-term capital gain and is taxed at a lower rate.
The partnership received Deb's cash ($3,000 basis and $3,000 fair market value), Whiteacre (a piece of real estate that Deb has owned for five years and is worth $4,000, despite a $10,000 basis), and an installment note (with a $500 basis and a $2,000 fair market value). Deb does not realize any gain or loss on the cash because the basis equals the fair market value, but she realizes a loss on the installment note because the fair market value ($2,000) is less than the basis ($500). Because Whiteacre was used for investment purposes, it is considered a capital asset. As a result, the difference between the basis and the fair market value ($6,000) is a long-term capital loss that can offset any capital gains that the partnership may recognize later.Ellen contributed cash ($7,000 basis and $7,000 fair market value) and Greenacre (a piece of real estate that Ellen has owned for two years and is worth $2,000, despite a $1,000 basis). Ellen does not realize any gain or loss on the cash because the basis equals the fair market value. The difference between the basis and the fair market value of Greenacre ($1,000) is a short-term capital gain that is taxed at ordinary income rates. The tax consequences for the partnership are as follows:Whiteacre's $6,000 capital loss offsets the $2,000 short-term capital gain on Greenacre, resulting in a net capital loss of $4,000 for the partnership. The partnership will be able to use $3,000 of this loss to offset other capital gains, with the remaining $1,000 carrying forward to future years.
At the time of formation, the balance sheet for the partners and the partnership is given below:Carl: Goodwill $5,000 Equipment $3,000 Account receivable $1,000 Total assets $9,000Deb: Cash $3,000 Whiteacre $4,000 Installment note $2,000 Total assets $9,000Ellen: Cash $7,000 Greenacre $2,000 Total assets $9,000Partnership: Cash $10,000 Whiteacre $4,000 Greenacre $2,000 Total assets $16,000
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The parking lot charges $2 for the first hour plus 50¢ for each additional half hour or part thereof. What is the total charge for parking a car in the lot from 11:30 a.m. until 2:15 p.m.?
7) In 2019, Skylar sold an apartment building for $144,000 cash and a $1,440,000 note due in two years. Skylar's cost of the property was $1,152,000, and he had deducted depreciation of $691,200, $276,480 of which was in excess of what the straight-line amount would have been. a. Under the installment sales method, what is Skylar's total realized gain? b. In 2019, how much § 1250 gain does Skylar recognize? How much § 1231 gain does he recognize?
Answer:
(a) he total realized gain is $1,123,200.
(b) § 1250 gain realized in 2019 is, $276,480.
(c) The § 1231 gain realized in 2019 is, $77040.
Step-by-step explanation:
(a)
Compute Skylar's total realized gain under the installment sales method as follows:
Cash Received = $144,000
Note Receivable = $1,440,000
Total Selling Price = Cash Received + Note Receivable
= $144,000 + $1,440,000
= $1,584,000
Cost of Property = $1,152,000
Deducted Depreciation = $691,200
Adjusted Bias = Cost of Property - Deducted Depreciation
= $1,152,000 - $691,200
= $460,800
Total Realized Gain = Total Selling Price - Adjusted Bias
= $1,584,000 - $460,800
= $1,123,200
Thus, the total realized gain is $1,123,200.
(b)
§ 1250 gain will be same as the amount of depreciation that was in excess of the straight-line amount.
Thus, § 1250 gain realized in 2019 is, $276,480.
(c)
Total Realized Gain = $1,123,200
§ 1250 gain realized in 2019 = $276,480
§ 1231 gain = Total Realized Gain - § 1250 gain realized in 2019
= $1,123,200 - $276,480
= $846,720
The total selling price was, $1,584,000.
Compute the percentage of § 1231 gain of the selling price as follows:
§ [tex]\text{ 1231 gain}\%=\frac{846,720}{1,584,000}\times 100=53.45455\%\approx 53.5\%[/tex]
Thus, 53.5% of the cash received will be the § 1231 gain.
§ 1231 gain realized in 2019 = $144,000 × 53.5% = $77,040.
Thus, the § 1231 gain realized in 2019 is, $77040.
