The third-year depreciation using MACRS for an asset with a purchase cost of $311,677, a useful life of six years, and a salvage value of $22,424 is $49,877.
MACRS (Modified Accelerated Cost Recovery System) is a depreciation method used for tax purposes in the United States. It assigns assets to specific recovery periods based on their classification and useful life. In this case, the asset is classified as 5-year property.
To calculate MACRS depreciation, the asset's cost is multiplied by a depreciation percentage assigned to each year of the recovery period. The percentages for the 5-year property are as follows: 20%, 32%, 19.20%, 11.52%, 11.52%, and 5.76%.
In the third year of the asset's useful life, the depreciation percentage is 19.20%. Therefore, the depreciation amount can be calculated by multiplying the purchase cost ($311,677) by the depreciation percentage (19.20%):
Depreciation = $311,677 * 19.20% = $59,829.89
Adjusted Depreciation = Depreciation - Salvage Value = $59,829.89 - $22,424 = $37,405.89
Therefore, the third-year depreciation using MACRS for the given asset is $37,405.89.
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an important first step in assessing the relationship of two interval level variables is to: a. calculate a correlation coefficient. b. look at a scatter plot. c. do a test of significance. d. calculate the variance of the independent variable.
Option a. calculate a correlation coefficient is the right response because a correlation coefficient measures the strength and direction of the relationship between two interval level variables.
This is because a correlation coefficient measures the strength and direction of the relationship between two interval level variables. It provides a numerical value that ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation.
A scatter plot is also useful in visualizing the relationship between two variables, but it does not provide a numerical value like the correlation coefficient. A test of significance and variance calculation are not typically used as first steps in assessing the relationship between two variables.
Hence, option a. calculate a correlation coefficient is the correct answer.
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Given the equation 4(3n-7) = -19, what is the first step you could use to solve for n?
Answer:
3/4
Step-by-step explanation:
4(3n-7)=-19
3n-7=-19/4
3n=-19/4+7
3n=-19/4+28/4
3n=9/4
n=(9/4)/3
n=(9/4)(1/3)
n=9/12
simplify
n=3/4
Answer:
3/4
You would have to divide both sides by 4
Step-by-step explanation:
\(\frac{4(3n-7)}{4} =\frac{-19}{4}\) ( divide both sides by 4 )
\(3n-7= -\frac{19}{4}\) ( simplify )
\(3n-7+7=-\frac{19}{4} +7\) ( add 7 to both sides )
\(3n=\frac{9}{4}\) ( simplify )
\(\frac{3n}{3} =\frac{\frac{9}{4} }{3}\) ( divide both sides by 3 )
\(n=\frac{3}{4}\)
Pls help
|x-6|=8
A. X=-14 and c=-2
B. X=14 and x= -2
C. X=14 and x=-14
D. X=-14 and x=2
Answer:
B
Step-by-step explanation:
x-6=8
x= 14
x-6=-8
x= -2
Helppppp!!!!!!!!!!!!!!!!
Answer:
The x variable has an exponent of 2
Step-by-step explanation:
this makes it quadratic
which algebraic representation of a transformation on a coordinate grid does NOT preserve congruence?
A. ( x, y) -> ( x + 6, y + 6)
B. (x, y) -> (-x, y)
C. (x, y) -> (6x, 6y)
D. (x, y) -> (-y, x)
Answer:
the awnser is a
Step-by-step explanation:
The algebraic representation of the transformation that would not preserve congruence would be:
A). ( x, y) -> ( x + 6, y + 6)
"Algebraic Representation"A coordinated grid is characterized as the point or the grid comprised due to the intersection produced by two lines of the real number.
In this intersection, one line is defined as horizontal and the other line is vertical.
The representation \(( x, y) -> ( x + 6, y + 6)\) fails to conserve the congruence.
Thus, option A is the correct answer.
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Policies Current Attempt in Progress On May 1, 2021, Sheffield Company sells office furniture for $300000 cash. The office furniture originally cost $746800 when purchased on January 1, 2014. Depreciation is recorded by the straight-line method over 10 years with a salvage value of $80200. What gain should be recognized on the sale? (Hint: Use 7.333333 for years used in calculation.) O $44540. O $22220. O $84080. O $42040. Save for Later -/5 = 1 Attempts: 0 of 1 used Submit Answer
To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.
First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.
Depreciation per year = (Cost - Salvage Value) / Useful Life
Depreciation per year = ($746,800 - $80,200) / 10 years
Depreciation per year = $66,160
Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.
Accumulated Depreciation = Depreciation per year × Years
Accumulated Depreciation = $66,160 × 7.33 years
Accumulated Depreciation = $484,444.80
Now, we can calculate the book value of the furniture:
Book Value = Cost - Accumulated Depreciation
Book Value = $746,800 - $484,444.80
Book Value = $262,355.20
Finally, we can calculate the gain on the sale:
Gain on Sale = Sale Price - Book Value
Gain on Sale = $300,000 - $262,355.20
Gain on Sale = $37,644.80
Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.
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The gain that should be recognized on the sale of the office furniture is $84,080.
The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.
Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.
For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420
Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.
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Between 11 P.M. and 8:10 A.M., the water level in a swimming pool decreased by 5/24 in. Assuming that the water decreased at a constant rate, how much did the water drop each hour?
Answer:
1/44 inches per hour
Step-by-step explanation:
there are 9 hours and 10 minutes during which water decreased by 5/24"
9 hrs, 10 min can be converted to 9 1/6 hours (10 min is 1/6 of 60 min)
5/24 ÷ 9 1/6 = 5/24 x 55/6
5/24 x 6/55 = 1/44
Needed help with this part of the homework. Am i headed in the right direction? Having trouble finding the range as well
Given -
Where b>1
To Find -
a. Which is the graph of f(x) = -bˣ
b. Which is the graph of f(x) = b-ˣ
c. For which graph(s) is the range (-∞, 0)
Step-by-Step Explanation -
a. Since b > 1
So, bˣ will be positive
f(x) = -bˣ will be negative.
So,
The correct Option is B.
b. f(x) = b-ˣ
So, b-ˣ will be positive
Also, in -x will tends to 1
So,
The correct Option is A
c. Range of (-∞, 0)
So,
we can observe the value of y tending to -∞ in graphs B and D.
Final Answer -
a. Option B
b. Option A
c. Options B and D
Mathhhhhhh which ones about slope are true
Answer:
i think it is, the second one and the fourth one
Step-by-step explanation:
Solve for x: 5x + one third(3x + 6) > 14
Answer:
x > 2
Step-by-step explanation:
Given
5x + \(\frac{1}{3}\)(3x + 6) > 14 ← distribute and simplify left side
5x + x + 2 > 14
6x + 2 > 14 ( subtract 2 from both sides )
6x > 12 ( divide both sides by 6 )
x > 2
Answer: x > 2
Step-by-step explanation:
5x + 1/3(3x +6) > 14 Distribute
5x + 1x + 2 > 14 Combine like terms on the left side
6x + 2 > 14 Subtract 2 from both sides
-2 -2
6x > 12 Divde both sides by 6
x > 2
Regina’s work to find the surface area of a square pyramid from its net is shown below.
A square pyramid. The square base has side lengths of 9.4 inches. The triangular sides have a height of 11.9 inches.
Surface area of the pyramid = 4 (one-half (9.4) (12.8)) + 9.4 squared = 329 square inches
What error did Regina make?
She should have used One-half (9.4) (11.9) to represent the area of a single triangle.
She should have multiplied all the terms inside the parentheses by 4 when she simplified.
She should have used One-half (4.7) (12.8) to represent the area of a single triangle.
She should have used a different collection of shapes as the net of the pyramid.
She put 12.8 in place of 11.9 in the formula of the triangle. Then the correct option is A.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Regina’s work to find the surface area of a square pyramid from its net is shown below.
A square pyramid. The square base has side lengths of 9.4 inches. The triangular sides have a height of 11.9 inches.
Surface area of the pyramid = 4 [one-half (9.4) (12.8)] + 9.4² = 329 square inches
Then the error done by Regina will be
She should have used One-half (9.4) (11.9) to represent the area of a single triangle.
Then the correct option is A.
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Answer:
A
Step-by-step explanation:
You thought the balance in your savings account was $68.33, but you forgot to record a withdrawal. Your statement lists your balance as $26.33. How much was the withdrawal that you forgot to record?
Answer:
$42.00
Step-by-step explanation:
So, something hasn't been subtracted from your bottom line. The bank is saying you only have $26.33. You think you have $68.33.
Let's look for the difference. This is one of those great times when the word in english and the word in math have the same meaning. Difference is telling us to subtract.
68.33 - 26.33
= 42.00
Check:
If you subtract the missing entry, $42.00 from your total,
68.33 - 42.00
you get $26.33, exactly the balance the bank says you have. Now your account is balanced!
in how many ways can three people divide among themselves six identical apples, one orange, one plum, and one tangerine
There are a total of 9 items to divide among 3 people, so the number of ways to divide the items is 84.
What is meant by the term combination?In mathematics, a combination is a selection of elements from a bigger group where the arrangement of the elements is irrelevant. Consider a collection of three letters, A, B, and C, for illustration. Two of these letters, AB, AC, and BC, can be chosen in one of three ways. "Combinations" of the letters A, B, and C are what these three options are referred to as.
C(n, k)=n!/(k!*(n-k))!
where the product of all positive integers from 1 to n, denoted by the symbol n!, is the factorial of n. For instance, 5! equals 1 + 2 + 3 + 4 + 5 = 120.
For example, three people divide among themselves six identical apples, one orange, one plum, and one tangerine.
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A water cooler has 4.2 gallons of water in it. Simon spills 0.25 of a gallon of the water. He uses the expression below to find how many gallons of water are remaining in the water cooler. 4.2 - 0.25 How many gallons of water are remaining in the water cooler? O 1.7 gallons O 3.05 gallons O 3.95 gallons O 4.05 gallons
Answer:
c.3.95 gallons hopes this helps
Find the value of x in the parallelogram below.
Answer:
x = 25
y = 6
Step-by-step explanation:
In a parallelogram, opposite angles are equal.
2x and 50 are opposite angles,
2x = 50
Divide 2 on both sides,
x = 50 / 2
x = 25
In a parallelogram opposite sides are equal.
y + 5 and 11 are opposite sides,
y + 5 = 11
y = 11 - 5
y = 6
Answer:
x=25
y=6
Step-by-step explanation:
from the diagram,
2x= 50(opposite angles of a parallelogram)
2x= 50
dividing bothsides by 2
2x/2=50/2
x= 25
then,
y+5=11(opposite sides of a parallelogram)
y= 11-5
y= 6
What is the sum of the geometric sequence 1, 3, 9, … if there are 14 terms?
I need help plzzzzzz
Answer:
C) -b > 0
Step-by-step explanation:
as per the graph
a<b<c and a<0, b<0
A) a>b
incorrect as a is on the left from bB) -b < -c
incorrect, b<c, when negative applied to both sides, inequality is reversedC) - b> 0
correct, as b<0, when negative applied it make b positive, i.e greater than zero
Emma packed gift bags to give to the
5 guests at her party. Each bag has
2 rings, 3 notebooks, 3 stickers, and 2 pencils.
A. How many total items did Emma
pack into the gift bags?
A 10 items C55 items
B 50 items D72 items
Answer:
15 items Emma packed in the bag .
#Hope it helps!!
Answer: 50 items
Step-by-step explanation: 2x5=10+3x5=15+3x5=15+2x5=10
10+15+15+10=50
What is 92 in kg to lbs?
Answer:
92kg is about 202.8 lbs
Step-by-step explanation:
The value of 92 in kg to lbs is 202.8 lbs
What is Kilo gram ?
Kilo gram can be defined as follows , one kilo gram is equals to thousand grams or one gram is equal to reciprocal of thousand.
Given ,
to find 92 in kg to lbs
So, we know that,
1 kg = 2.204
So, here for 92 kg
we need to multiply with 2.204
we get,
92 kg = 92 * 2.204
= 202.8
So, 92 kg = 202.8 lbs.
Therefore, the value of 92 in kg to lbs is 202.8 lbs
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mrs. hilt runs 3 1/2 miles every monday, wednesday, and friday. how many miles will she run in a month in which there are 4 mondays, 4 wednesdays, and 4 fridays?
The total miles run by Mrs Hilt in a month in which there are 4 Mondays, 4 Wednesdays, and 4 Fridays is equal to 126 miles.
Every Monday, Wednesday and Friday Mrs. Hilt run = 3 1/2 miles
Mrs. Hilt runs 3 1/2 miles three times a week,
which is a total of 3 1/2 x 3 = 10 1/2 miles per week.
In a month with 4 Mondays, 4 Wednesdays, and 4 Fridays,
there are a total of 12 days in the week that Mrs. Hilt runs.
This implies, in a month, she will run a total of,
= 10 1/2 x 12
= 21/ 2 x 12
= 21 x 6
= 126 miles.
Therefore, Mrs. Hilt will run 126 miles in a month with 4 Mondays, 4 Wednesdays, and 4 Fridays.
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The two triangles are similar. Find the values of the unknown variables.
63
B
59°
Р
R
30
C
A
40
Answer:
x=84
y=59
Step-by-step explanation:
if the triangles are similar than the angles don't change so and y is equal to 59.
to find the missing side we do 40/30 x 63 and we get that x=84
Infinitely Many Solutions
6x - 3x + 4 – 2x = _+_
Answer:
6x - 3x + 4 – 2x = x+4
Step-by-step explanation:
lemme if i need to explain and i will explain to you
One of the sides of a parallelogram has a length of 5 in. Can the diagonals
have the following lengths?
4 in. and 3 in.
with explanation, please !
Answer:
No, the diagonals of a parallelogram cannot have lengths of 4 in. and 3 in. The diagonals of a parallelogram bisect each other and have equal length. Therefore, if one diagonal has a length of 4 in., the other diagonal must also have a length of 4 in. and cannot have a length of 3 in.
Step-by-step explanation:
Yes, I know you pretty much
Juan bought a bike and a helmet for $155. His friend Pedro went to the same store next day and found that bikes were selling for 40% off and helmets for 20% off. Pedro also bought one bike and one helmet at a total sale price of $100. What was the price paid by Juan for the bike
Answer:
Let b = price of the bike and h = price of the helmet.
b + h = 155---------->8b + 8h = 1,240
.6b + .8h = 100---->6b + 8h = 1,000
----------------------
2b = 240
b = 120, h = 35
Juan paid $120 for the bike and $35 for the helmet.
the slope of the line is positive, negative, zero or undefined
The slope of a line is a measure of how steep the line is and is defined as the change in y divided by the change in x between any two points on the line. It can be positive, negative, zero, or undefined depending on the characteristics of the line.
A positive slope indicates that the line is slanting upwards from left to right. This means that as x increases, y also increases. For example, the slope of the line y = 2x + 3 is 2, which means that for every one unit increase in x, the value of y increases by two units. A negative slope indicates that the line is slanting downwards from left to right. This means that as x increases, y decreases. For example, the slope of the line y = -3x + 5 is -3, which means that for every one unit increase in x, the value of y decreases by three units. A zero slope indicates that the line is horizontal, meaning that it is neither slanting upwards nor downwards. This means that as x increases, y remains constant. For example, the slope of the line y = 4 is 0, which means that no matter what value of x is chosen, the value of y remains constant at 4.
An undefined slope occurs when the line is vertical, meaning that it is perpendicular to the x-axis. This means that there is no change in x between any two points on the line. For example, the slope of the line x = 3 is undefined, which means that the line is a vertical line passing through the point (3,0). In summary, the slope of a line can be positive, negative, zero, or undefined depending on the characteristics of the line.
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Below are several lines from the theoretical framework for health and medical care from your notes. For each line, first describe in words what the mathematical expression is saying and then assess whether you think it’s reasonable.
EXAMPLE:
a) y = (, H)
Utility depends on both health (H) and consumption of other goods (besides medical care) (X). This is reasonable – health certainly matters but it’s not the only determining factor of happiness.
b) < 0; HH < 0
c)H >0;H >0
d) H = (m,)
e) m > 0; < 0
f)mm <0
a) The utility depends on both health (H) and consumption of other goods (X).
b) The coefficient is negative, indicating a negative relationship between two variables.
c) Health (H) is greater than zero, suggesting a positive value for health.
d) Health (H) is a function of a variable denoted as 'm'.
e) The variable 'm' is greater than zero and the coefficient is negative.
f) The product of two variables, 'm' and 'm', is negative.
a) The expression in (a) is reasonable as it acknowledges that utility is influenced by both health and consumption of other goods. It recognizes that happiness or satisfaction is derived not only from health but also from other aspects of life.
b) The expression in (b) suggests a negative coefficient and a negative relationship between the variables. This could imply that an increase in one variable leads to a decrease in the other. The reasonableness of this relationship would depend on the specific variables involved and the context of the theoretical framework.
c) The expression in (c) states that health (H) is greater than zero, which is reasonable as health is generally considered a positive attribute that contributes to well-being.
d) The expression in (d) indicates that health (H) is a function of a variable denoted as 'm'. The specific nature of the function or the relationship between 'm' and health is not provided, making it difficult to assess its reasonableness without further information.
e) The expression in (e) states that the variable 'm' is greater than zero and the coefficient is negative. This implies that an increase in 'm' leads to a decrease in some other variable. The reasonableness of this relationship depends on the specific variables involved and the theoretical context.
f) The expression in (f) suggests that the product of two variables, 'm' and 'm', is negative. This implies that either 'm' or 'm' (or both) are negative. The reasonableness of this expression would depend on the meaning and interpretation of the variables involved in the theoretical framework.
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rewrite √32/8 into simplified radical form
PLEASE HELP I AM BEING TIMED!!
How many was can the angle be named?
Answer:
3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
GFE
EFG
I'm not sure, but I hope this helps in some way!
A jar contains 30 red marbles, 50 blue marbles and 20 white marbles. you pick one marble from the jar at random. find the probability of selecting a marble that is not blue
Answer:
50/100 or 1/2 or 50%
Step-by-step explanation:
total = 30 + 20 + 50 = 100
the probability of choosing a marble that is not blue is equal to the total minus all marbles that are blue therefore 100-30-20=50 therefore the probability is 50/100 or 1/2 or 50%
7. Ifa = 3an * db = - 2 . find the values of: (a + b)ab
The Values of (a+b)ab are undefined.
Given that, a = 3an and db = -2We need to find the values of (a+b)
Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1
From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),
we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0
Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined
Therefore, the values of (a+b)ab are undefined.
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