The completion of the MACRS annual cost recovery on a straight-line basis is as follows:
Method Purchased Cost Recovery Recovery Cost
Class Year Recovery
MACRS July 20 $ 5,000 7 6 A = $833.33
MACRS Nov. 5 $ 11,000 20 13 B = $846.15
What is the MACRS straight-line method?Ordinarily, the MACRS (modified accelerated cost recovery system) depreciation method is the tax-allowed method that ensures that larger deductions for depreciation expense or cost recovery are made in the beginning years and lower deductions for later years.
However, the same deductions are made each year when the straight-line method is used.
The depreciation expense using the MACRS straight-line method is computed by dividing the asset's cost by the recovery year.
Method Purchased Cost Recovery Recovery Cost
Class Year Recovery
MACRS July 20 $ 5,000 7 6 A = $833.33 ($5,000/6)
MACRS Nov. 5 $ 11,000 20 13 B = $846.15 ($11,000/13)
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Which expression is equivalent to the expression below?
2.1 + (–3.7h) + 1.9h – 1.4
3.5 – 5.6h
−1.1h
0.7 + 1.8h
0.7 – 1.8h
Using the simplification, the equivalent expression of 2.1+(–3.7h)+1.9h–1.4 is 0.7–1.8h.
In the given question we have to find the equivalent expression of the given expression.
The given expression is 2.1+(–3.7h)+1.9h–1.4
Now solving the given expression to find the equivalent expression.
Now solving the expression
=2.1 + (–3.7h) + 1.9h – 1.4
Firstly simplifying the bracket
=2.1–3.7h+ 1.9h – 1.4
=(–3.7h+ 1.9h)+(– 1.4+2.1)
= –1.8h + 0.7
We can write it as
=0.7–1.8h
Hence, the equivalent expression of 2.1+(–3.7h)+1.9h–1.4 is 0.7–1.8h.
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In a raffle, 100 tickets are sold. George buys 10 tickets Julia by 5 tickets. There is one winning ticket. Find a probability that
a. George will win
b. jullia will win
Probability of (a) George winning is 0.1
(b) Julia winning is 0.05
Given in question,
Total ticket sold = 100
George bought tickets = 10
Julia bought tickets = 5
Winning ticket = 1
Selecting 1 ticket from 100 = [tex]\left[\begin{array}{ccc}100\\1\\\end{array}\right][/tex]
= 100
Selecting 1 ticket from 10 = [tex]\left[\begin{array}{ccc}10\\1\\\end{array}\right][/tex]
= 10
Selecting 1 ticket from 5 = [tex]\left[\begin{array}{ccc}5\\1\\\end{array}\right][/tex]
= 5
Probability = favorable outcome/total outcome
Probability of George winning = [tex]\frac{10}{100}[/tex]
= 0.1
Probability of Julia winning = [tex]\frac{5}{100}[/tex]
= 0.05
Hence, probabilities are 0.1 and 0.05 respectively.
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Simplify (5-3)2+8\2x3-7+1
Answer: 12/0
Step-by-step explanation: (5−3)(2)+8
(2)(3)−7+1
=
(2)(2)+8
(2)(3)−7+1
=
4+8
(2)(3)−7+1
=
12
(2)(3)−7+1
=
12
6−7+1
=
12
−1+1
=
12
0
=
1
0
;)
A circular plot with 1000 ft diameter is watered by a spray irrigation system. To the
nearest square foot, find the area that is watered as the sprinkler rotates 90°.
The area that is watered as the sprinkler rotates 90° is 196,250.
What is the area of the circular plot?
The space a circle takes up in a two-dimensional plane is known as the area of the circle. Alternately, the area of the circle is the area included inside the circumference or perimeter of the circle. A = πr², where r is the circle's radius, is the formula for calculating a circle's surface area.
Here, we have
Diameter = 1000ft
Radius = 500
Then, we apply the area of a circle and get
= (90/360)× π×(500)²
= 62,500 × π
= 196,250
Hence, the area that is watered as the sprinkler rotates 90° is 196,250.
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Determine the length of the line segment shown. graph of line segment from negative 6 comma negative 5 to 0 comma 3 100 units 25 units 10 units 8 units
The length of the line segment will be 10 units.
What is Distance?
The distance between two points (x₁ , y₁) and (x₂, y₂) is defined as;
D = √( y₂ - y₁)² + (x₂ - x₁)²
Given that;
Two endpoints of the line segment are (6, -5) and (0, 3).
Now,
The length of the line segment is distance between two endpoints (6, -5) and (0, 3).
So, The distance between two endpoints (6, -5) and (0, 3) is calculated as;
D = √(0 - 6)² + (3 - (-5))²
D = √36 + 64
D = √100
D = 10 units
Thus, The length of the line segment will be 10 units.
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The values of x and y vary directly
and one pair of values are given.
Write an equation that relates x
and y.
x = 2, y = 5
[?]
y =
X
The equation that relates x and y is given as y = 2.5x
What is direct variation in mathematics?The relationship between two variables in which one is a constant multiple of the other is referred to as direct variation. For instance, two variables are said to be in proportion when one affects the other. b = ka is the equation if b is directly proportional to a.
The formula for direct variation is in the form of
y = kx
where we have the value of y = 5, the value of x = 2
we have to put this in the formula above
5 = 2k
to get the value of k we would have to divide through by 2
k = 5 / 2
k = 2.5
Hence we would have y = 2.5x
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Tell which number is greater 3/8,30
Answer:
30
Step-by-step explanation:
3/8 is less than 1.
30 is much greater than 1.
Answer: 30
Answer:30 is greater
Step-by-step explanation:
A street light is mounted at the top of a 15-ft-tall pole. a man 6 ft tall walks away from the pole with a speed of 6 ft/s along a straight path. How fast is the tip of his shadow moving when he is 50 ft from the pole?
The tip of his shadow moving when he is 50 ft from the pole is 10ft/s
What is meant by differentiation?The practical approach of differentiation may be performed utilizing just algebraic operations, three fundamental derivatives, four principles of operation, and an understanding of how to manipulate functions, in contrast to the theory's abstract character.
The theory offers the following fundamental guidelines for differentiating the sum, product, or quotient of any two functions f(x) and g(x) whose derivatives are known (where a and b are constants) for functions constructed of combinations of these types of functions
I assume the man and pole are standing straight up, which means the 2 triangles are similar to each other.
(y-x)/y =6/15
15(y-x)=6y
9y=15x
y=(5/3)x
Differentiating both sides with respect to t,
dy/dt=(5/3)dx/dt
We know that, dx/dt= 6 ft/s
((5/3)*6=10 ft/s
Therefore, the tip of his shadow moving when he is 50 ft from the pole is 10ft/s
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A ship sails at a speed of 36 nautical miles per hour due east. An hour later it changes its direction to N 32° E and continues at the same speed and direction for a half hour. At this point, what are the ship's distance and direction of bearing from the starting point? Round your answers to the nearest hundredth:
The ship is____________ nautical miles from the starting point at a directional bearing of N _______ ° E.
The distance and direction of the ship from the starting point is found using vectors as follows;
The ship is 48.03 nautical miles from the starting point at a directional bearing of N 18.53° E
What are vectors?A vector is a quantity that has a property of magnitude or size and direction.
The ship's speed = 36 nautical miles per hour
Direction of the ship = Due east
The duration the ship continues in the direction = 1 hour
The new direction of the ship = N32°E
The duration in which the ship continues in the new direction = Half an hour
The vector of the distances traveled by the ship are;
[tex]\overrightarrow{d_1}[/tex] = 36·i
[tex]\overrightarrow{d_2}[/tex] = 0.5 × 36×sin(32°)·i + 0.5 × 36×cos(32°)·j = 18×sin(32°)·i + 18×cos(32°)·j
The sum of the distances traveled by the ship is therefore;
36·i + 18×sin(32°)·i + 18×cos(32°)·j = (36 + 18×sin(32°))·i + 18×cos(32°)·j
(36 + 18×sin(32°))·i + 18×cos(32°)·j = 45.54·i + 15.26·j
The distance of the ship from the starting point, d, is therefore;
d ≈ √(45.54² + 15.26²) ≈ 48.03
The distance of the ship from the starting point is approximately 48.03 miles.
The direction from the North of the ship from its starting point, θ, is therefore;
[tex]\theta = arctan\left(\dfrac{15.26}{45.54} \right) \approx 18.53^{\circ}[/tex]
Then direction of the ship is N 18.53° E
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1. Which graph best represents y = 4* - 1? (1 point)
Answer:
a little confused, but it should just be a horizontal line on -4 because of 4 times negative 1 = -4
Step-by-step explanation:
Value of x in 4,5,x,480
Step-by-step explanation:
you need to give us also some context.
because that sequence can be anything.
but I suspect you mean
4 : 5 = x : 480
0.8 = x / 480
x = 480 × 0.8 = 384
Estimate the value of 96.8×9.74
Answer: Estimate : 1000 Exact : 942.83
Step-by-step explanation:
The estimate is 1000 because 96.8 is rounded to 100 and 9.74 is rounded to 10, so 100 times 10 is 1000. If you wanted the exact, then the exact is 942.83200, If you simplify this total, then the final answer is 942.83.
Please help me I need help
Answer:
p = 20
Step-by-step explanation:
[tex]\rm \implies \dfrac{p}{2} - 9 = 1 \\ \\ \rm \implies \dfrac{p}{2} - 9 + 9 = 1 + 9 \\ \\ \rm \implies \dfrac{p}{2 } = 10 \\ \\ \rm \implies \dfrac{p}{ \cancel{2}} \times \cancel{2} = 10 \times 2 \\ \\ \rm \implies p = 20[/tex]
algebra please helppp
Addition of the given polynomial functions (5a³ + 4a² - 3a + 2) and (a³ - 3a² + 3a - 9) gives 8a³ + a² - 7
What is polynomial function?A polynomial function is a function in an equation, such as the quadratic equation or the cubic equation, that only uses non-negative integer powers or only positive integer exponents of a variable.
How to find the addition of the polynomialAddition of polynomial is achieved term by term
= (5a³ + 4a² - 3a + 2) + (a³ - 3a² + 3a - 9)
= 5a³ + 3a³+ 4a² - 3a²- 3a + 3a + 2 - 9
= 8a³ + a² - 7
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2. Sketch a list or tree diagram to represent
the sample space of flipping a penny, a nickel,
and a dime one time each.
There are total 8 possible outcomes if we flip penny , nickel , dime together. We can show these outcomes by the Tree diagram or by listing each outcome separately.
The one way to create an organized list to represent the sample space
Penny NICKEL DIME
H H H
H H T
H T H
H T T
T H H
T H T
T T H
T T T
The another way to create an organized list to represent the sample space is to make a tree diagram .
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i’m stuck on c and e
Last year, Leila opened an investment account with $8800. At the end of the year, the amount in the account had decreased by 6%.
Answer:
The new value is $8,272
Step-by-step explanation:
8800 x (1 - 0.06) = 8272
Complete (assume $60,000 of overhead to be distributed): (Enter amount of overhead allocated as whole dollar amounts. Round your ratio answers to the nearest hundredth.) Sq. Ft. Ratio Amount of Overhead Allocated Dept. A 10,000 A B Dept. B 30,000 C D
The calculation of the ratios, resulting from the square feet occupied by Departments A and B, and the amounts of allocated overhead costs to the two departments are as follows:
Ratio Amount
Department A 1/5 $10,000
Department B 4/5 $40,000
What is the ratio?The ratio is the relative value relationship shared by two or more numbers.
Ratios are fractional values depicted in fractions, decimals, and percentages.
Like proportions, ratios show how much a value or variable is contained in another.
Total overhead = $60,000
Overhead Allocation:Department Square Feet Ratio Amount of Overhead Allocated
Dept. A 10,000 A = 1 B = $15,000 ($60,000 x 1/4)
Dept. B 30,000 = 3 D = $45,000 ($60,000 x 3/4)
Ratios = 10,000:30,000
= 1:3
Sum of Ratios = 4
Thus, based on the ratios, Department A is allocated $15,000, while Department B will be allocated $45,000 of the distributable overhead costs.
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A movie producer wants to cast a dog and a cat in her next film, and the talent agency
has 18 dogs and 24 cats to choose from.
How many different dog-cat options are possible for the producer? (please explain)
Step-by-step explanation:
there are 18 dogs to choose 1 dog.
therefore, these are 18 options.
for each of these 18 options there are 24 cats to choose from.
so, altogether, there are
18×24 = 432
dog-cat options.
There are are 432 ways to choose dog-cat options are possible for the producer.
What is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.
Total Number of Dogs= 18
Total Number of cats= 24
so, the number easy to select
= 18 x 24
= 432
Hence, there are 432 ways to choose dog-cat options are possible for the producer.
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Divide the monomial denominator by writing the fraction as the sun or difference of fractions.
Division of the monomial denominator by writing the fraction as the sum or difference of fractions is [tex]8x+8 - \frac{1}{x^{3}}[/tex].
What is a polynomial equation?
Polynomial long division is a generalized variant of the well-known arithmetic operation known as long division. It is an algorithm for dividing a polynomial by another polynomial of the same or lower degree.
We have,
[tex]\frac{8x^{4} + 8x^{2} - 1}{x^{3}}[/tex]
Break down the polynomial and divide:
[tex]= \frac{8x^{4} }{x^{3} } + \frac{8x^{2}}{x^{3}} + \frac{-1}{x^{3}}[/tex]
Calculating each division we get
[tex]=8x+ 8x - \frac{1}{x^{3} }[/tex]
Therefore the final answer is
[tex]\frac{8x^{4} +8x^{3} −1}{x^{3}} = 8x+8 - \frac{1}{x^{3}}[/tex]
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Find sin 2x, cos 2x, and tan 2x from the given information.
tan x=-1/5
sin 2x =
cos 2x =
tan 2x =
The values of the different trigonometric functions are as follows:
2x = -5/13Cos 2x = 12/13Tan 2x = -5/12.What is trigonometry?The study of relationships between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research. Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations.Now, solve using trigonometry as follows:
tan x=-1/5Now, we have:
sin 2x= (2tan x)/(1 + tan²x)=2*-1/5/(1+(-1/5)²)=-2/5(1+1/25)=-2/5/(26/25)=-2/5*25/26=-10/26=-5/13Then, calculate as follows:
cos 2x= (1 - tan²x)/(1 + tan²x)=(1-(-1/5)²)/(1+(-1/5)²)=(1-1/25)/(1+1/25)=24/25/26/25=24/25*25/26=24/26=12/13Now, we obtain:
tan 2x= 2tan x/(1-tan² x)=2*-1/5/(1-(-1/5)²)=-2/5/(1-1/25)=-2/5/24/25=-2/5*25/24=-10/24=-5/12Therefore, the values of the different trigonometric functions are as follows:
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Select the values that make the inequality
Answer: -4, -1, 1, 3, 3.9, 3.99, 3.999, 4
Step-by-step explanation:
That inequality symbol means less than or equal to. So that includes 4 and any number that precedes it on the number line.
The midpoint of AB is M (5, 1). If the coordinates of A are (3,6), what are
the coordinates of B?
8) I bought 4 baseball cards for y dollars each and 3 card holders for $2.50
each. I paid a total of $19.50. What is the cost per baseball card?
PROVE IT!! SHOW YOUR WORK!!!!!
A) $3 B) $4 C) $5.50 D) $6
Answer:
$3
Step-by-step explanation:
Total of all = $19.50
3 Card holders total = $7.50
4 Baseball card total = ?
We know that 19.50 is the sum of the holders and cards together so we subtract $7.50 from $ 19.50.
$19.50-$7.50=$12 for ALL four baseball cards
We know that 4 baseball cards are $12, but if we DIVIDE 12 by four, we get the individual price per card.
12/4 = $3
factor and graph the equation -0.01x² +0.5x
The graph and factor to the given equation are x= 50 or x=0.
What is equation?
An equation may be a formula in arithmetic that expresses the equality of 2 expressions by connecting them with the sign =.
Main body:
I am assuming the equation as : -0.01[tex]x^{2}[/tex] + 0.5x =0
Now first removing the decimal from the equation ,
-[tex]x^{2}[/tex]/100 + 5x/10 = 0
-[tex]x^{2}[/tex] + 50 x = 0
switching signs , we get
[tex]x^{2}[/tex] - 50x= 0
taking x as common
x(x-50) =0
so either x = 0
or
x- 50 = 0
x =50
Hence the value of x are 0 or 50.
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Parallel Lines relay race page C
Can someone lmk the answers
The value of the angle regarding the parallel lines are:
1. x = 14
2. x = 9
3. x = 17
4. x = 5
How to calculate the values?1. Lines 'l' and 'm' are the parallel lines and a transversal line is intersecting these lines.
(9x + 13)° = (12x - 29)° [Alternate interior angles]
9x - 12x = -29 - 13
-3x = -42
Divide
x = 14
2). By substituting x = 14 in the box.
(13x + 5)° + (8x - 14)° = 180° [Consecutive interior angles]
21x - 9 = 180
21x = 189
Divide
x = 189/21
x = 9
3). By placing x = 9 in the box,
(5x + 52)° = (9x - 16)° [Corresponding angles]
5x - 9x = -52 - 16
-4x = -68
x = 17
4). By placing x = 17 in the box,
(10x + 17)° = (12x + 7)° [Alternate exterior angles]
10x - 12x = -17 + 7
-2x = -10
x = 5
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PLS HELP ME ASAP IM SO CONFUSED?
Basically, Least Common Multiple(LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers. GCF/HCF ( Greatest/Highest Common Factor) is the highest number that divides exactly into two or more numbers.
Answers:
9) LCM of 36, 3, 12 = 36
GCF of 36, 3, 12 = 3
10) LCM of 6, 54, 12 = 108
GCF of 6, 54, 12 = 6
11) LCM of 16, 8, 12 = 48
GCF of 16, 8, 12 = 4
Evaluate y(x ÷ 2) if x is 20 and y is 10
Answer:
100
Step-by-step explanation:
x = 20
x ÷ 2
= 20 ÷ 2
= 10
y = 10
y ( x ÷ 2 )
= 10 x 10
= 100
Alton estimated that 230 people attended the band concert. The actual count for attendance was 200 people. Find the percent of error. 13% 15% 30% 86%
The percent of error is 15%. The correct option is B.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Alton estimated that 230 people attended the band concert.
The actual count for attendance was 200 people.
To find the percent of error:
230 - 200 / 200
= 30 / 200
= 0.15
0.15 decimal to the percentage is 15%.
Therefore, the error is 15%
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Calculate: (Round your final answers to the nearest cent.) Units Unit Cost Beg. Inventory Jan. 1 20 $ 8.00 May 10 15 $ 11.00 June 30 17 $ 20.00 Dec. 10 12 $ 21.00 24 units not sold LIFO FIFO Weighted-Average Cost of Ending Inventory A C E Cost of Goods Sold B D F
1. The Cost of Ending Inventory and the Cost of Goods Sold under LIFO, FIFO, and Weighted-Average, are as follows:
LIFO FIFO Weighted-Average
Ending inventory $425 $691 $573
Cost of goods sold $492 $226 $344
How do the inventory methods differ?FIFO (First-in, First-out) assumes that the physical flow of goods sold follows the chronological order of acquisition.
LIFO (Last-in, First-out) assumes that the cost of goods sold should be based on the latest inventory purchases.
The weighted-average method uses the average cost of goods to compute the ending inventory and the cost of goods sold.
LIFO:
Ending inventory = $425 ($917 - $492)
Cost of goods sold = $492 (12 x $20 + 12 x $21)
FIFO:
Ending inventory = $691 (9 x $11 + 17 x $20 + 12 x $21)
Cost of goods sold = $226 ($917 - $691)
Weighted Average:
Ending inventory = $573 (40 x $14.33)
Cost of goods sold = $344 (24 x $14.33)
Inventory Table:Units Unit Cost Total Cost
Jan. 1 Beg. Inventory 20 $8.00 $160
May 10 Purchases 15 $11.00 $165
June 30 Purchases 17 $20.00 $340
Dec. 10 Purchases 12 $21.00 $252
Total 64 $917
Units sold 24
Ending inventory 40 (64 - 24)
Average cost = $14.33 ($917/64)
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