The required answer is the double declining-balance method is $9,840.
To calculate the depreciation expense for 2020 using the double declining-balance method, we first need to determine the asset's straight-line depreciation rate. This is calculated by subtracting the residual value from the cost of the asset and dividing by the asset's useful life:
Depreciation base = $30,000 - $3,000 = $27,000
Annual depreciation expense (straight-line) = Depreciation base / Useful life = $27,000 / 5 = $5,400
Next, we need to determine the double declining-balance rate, which is twice the straight-line rate. Therefore:
Double declining-balance rate = 2 x (1 / Useful life) = 2 x (1 / 5) = 0.40 or 40%
Now we can calculate the depreciation expense for 2020:
Depreciation expense (2020) = Book value (beginning of year) x Double declining-balance rate
The book value at the beginning of 2020 would be the cost of the asset minus accumulated depreciation for the first year:
Book value (beginning of 2020) = $30,000 - ($5,400 x 1) = $24,600
As a result, depreciation increases during the initial year of possession and decreases thereafter.
Therefore:
Depreciation expense (2020) = $24,600 x 0.40 = $9,840
So the amount of depreciation expense for 2020, the second year of the asset's life,
using the double declining-balance method is $9,840.
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on a number line to suppose point it has a coordinate of two and EG equals eight what are the possible coordinates of point G
Answer:
I don't understand please can you explain to me
Factor -2x^3-4x^2-6x
Answer:
-2x(x^2+2x+3)
Step-by-step explanation:
-2x^3-4x^2-6x
You can only factor out the 2x the other part is not factorable.
In MIPS, the stack pointer is manipulated using the instruction
addiu $sp, $sp, XX
where "XX" is a number that may be positive or negative.
If we need to reserve enough room on the stack for 2 integers in addition to the $ra register, what is the value of XX?
The stack pointer is decremented by a multiple of 4, as required by the MIPS architecture.
To solve the MIPS stack pointer question, we need to reserve enough space on the stack for 2 integers and the\(`$ra`\)register. Each integer and the ra register occupy 4 bytes, so the total space required is 12 bytes.
However, since the stack pointer is manipulated in multiples of 4, we need to find the closest multiple of 4 to -12, which is -16.
Hence, the value of XX in the instruction \(`addiu $sp, $sp, XX`\) should be -16 to reserve enough room on the stack for 2 integers and the ra register.
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a is directly proportional to the square root of c. w is inversely proportional to a³.
When c = 49, a = 35
When a = 2, w = 16.
Find the value of w when c = 4.
Answer:
W when c = 4 is 0.128.
Step-by-step explanation:
The relationship between A, C and W can be represented by the following equations:
A = k√c
W = m/a^3
Where k and m are constant of proportionality.
Since A is directly proportional to the square root of c, we can write k = A/√c. Substituting the values of A and C when c = 49, we have:
k = 35/√49 = 35/7
Since W is inversely proportional to a^3, we can write m = W * a^3. Substituting the values of W and A when a = 2, we have:
m = 16 * 2^3 = 128
Now we have both k and m, we can find the value of W when c = 4.
A = k * √c = 35/7 * √4 = 10
W = m/a^3 = 128/10^3 = 0.128
So, the value of W when c = 4 is 0.128.
Find missing length.
One diagonal of a kite is twice as long as the other diagonal. If the area of the kite is 240 square inches, what are the lengths of the diagonals?
If one diagonal of a kite is twice as long as the other diagonal and the area of the kite is 240 square inches, then the length of the shorter diagonal is 4√15 inches and the length of the longer diagonal is 8√15 inches.
To find the length of the diagonals, follow these steps:
Let the length of the shorter diagonal = x. So, the length of the longer diagonal = 2x.Area of the kite = (1/2)×product of diagonals= (1/2)×x×2x= x² square inchesSince the area of the kite is 240 square inches, then x² = 240 ⇒x = √240 ⇒x = 4√15 unitsTherefore, the length of the shorter diagonal is x = 4√15 inches and the length of the longer diagonal is 2x = 8√15 inches.Learn more about kite:
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the structure supports a distributed load of w = 15 kn/m. the limiting stress in rod (1) is 370 mpa, and the limiting stress in each pin (a, b, c) is 200 mpa.
The structure supports a distributed load of 15 kN/m. The limiting stress in rod (1) is 370 MPa, and the limiting stress in each pin (a, b, c) is 200 MPa.
The given information provides details about the distributed load and the limiting stress in the components of the structure. The distributed load of 15 kN/m indicates that the structure is subjected to a uniform force distribution along its length. This load is essential to consider when analyzing the stress and deformation of the components.
In the structure, rod (1) has a limiting stress of 370 MPa. This implies that the maximum stress that rod (1) can withstand without experiencing failure or deformation is 370 MPa. Therefore, it is crucial to ensure that the stress induced by the applied load does not exceed this limit in order to maintain the structural integrity of rod (1).
Furthermore, each pin (a, b, c) has a limiting stress of 200 MPa. Pins are often used to connect and support structural elements, such as beams and rods. The limiting stress of 200 MPa indicates the maximum stress these pins can endure before they fail. It is necessary to ensure that the stresses on the pins caused by the load distribution and their respective connections do not surpass this threshold to prevent pin failure.
To design a safe and reliable structure, engineers must consider these limiting stresses and ensure that the applied loads and resulting stresses are within the permissible limits for both rod (1) and the pins (a, b, c). By carefully analyzing the structural components and their stress distributions, suitable materials and design modifications can be implemented to meet the required safety standards and ensure the longevity of the structure.
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FIRST CORRECT ANSWER GETS BRAINLIEST:
In the African nation of Niger, French is the official language, while in Nigeria, English is the official language. Why would these two countries have different official languages that are European In
origin?
They were colonized by different European countries
They are historically at war with one another.
They needed a lingua franca to be able to communicate.
Step-by-step explanation:
They needed a lingua franca to be able to communicate.
HELP ASAP PLEASE IM TIMED
A box used to ship computers from the manufacturer to stores is 20 inches long, 24 inches wide, and 12 inches high. What is the surface area of the box?
It’s multiple choice so the answer could be 5,760 in, 11,520 in, 1,008 in, or 2,016 in!
Answer:
5,760
Step-by-step explanation:
20 x 24 x 12 = 5,760
Select the correct answer.
The function g(x) = x² is transformed to obtain function h:
h(x) = g(x) + 1.
Which statement describes how the graph of h is different from the graph of g?
O A. The graph of h is the graph of g horizontally shifted left 1 unit.
OB.
The graph of h is the graph of g vertically shifted down 1 unit.
The graph of h is the graph of g vertically shifted up 1 unit.
The graph of h is the graph of g horizontally shifted right 1 unit.
O C.
O D.
Reset
Next
The correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.
The correct answer is:
B. The graph of h is the graph of g vertically shifted up 1 unit.
Explanation:
The original function g(x) = x² represents a basic quadratic function, which is a parabola that opens upward and has its vertex at the origin (0, 0).
When we consider the function h(x) = g(x) + 1, we are adding a constant value of 1 to the output (y) values of the function g(x). This results in a vertical shift of the graph of g(x) by 1 unit upward.
In other words, for every x-value, the corresponding y-value of the function h(x) will be 1 unit higher than the corresponding y-value of the function g(x).
Visually, this means that the graph of h(x) will be the same shape as the graph of g(x), but it will be shifted upward by 1 unit. The vertex of the parabola, which was originally at the origin, will now be at (0, 1).
The statement "The graph of h is the graph of g horizontally shifted left 1 unit" (Option A) is incorrect because there is no horizontal shift in this transformation.
The statement "The graph of h is the graph of g vertically shifted down 1 unit" (Option B) is incorrect because the transformation results in a vertical shift upward, not downward.
The statement "The graph of h is the graph of g horizontally shifted right 1 unit" (Option D) is incorrect because there is no horizontal shift in this transformation.
Therefore, the correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.
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what is the constant difference of the above sequence 6;10;14
Answer: 4
Step-by-step explanation: 10-6=4
14-10=4
Please help!! :3
Triangle ABC is similar to triangle FGH. What is the value of x in centimeters?
Answer:
x = 22.5 cm
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
\(\frac{FH}{AC}\) = \(\frac{GH}{BC}\) , substitute values
\(\frac{x}{9}\) = \(\frac{12.5}{5}\) ( cross- multiply )
5x = 112.5 ( divide both sides by 5 )
x = 22.5 cm
Which expression is equivalent to the expression represented by the verbal phrase?
25% of the quantity of 208 plus n
A. n + 5,200
B. 25n + 5,200
C. n + 52
D. 0.25n + 52
Answer:
D. 0.25n + 52
Step-by-step explanation:
You want to find an expression equivalent to "25% of the quantity of 208 plus n".
Math expressionThe verbal phrase "208 plus n" is represented using the plus sign:
208 + n
When that quantity is multiplied by 25%, the result is ...
25% of (208 +n) = 0.25(208 +n)
This can be expanded using the distributive property to ...
(0.25)(208) +0.25n = 52 +0.25n
The commutative property of addition lets us write the equivalent expression ...
0.25n +52
the prescriber orders medication f 150 mcg po q.12h. the pharmacy sends a bottle labeled: medication f 0.05 mg/ml. how many milliliters will the nurse administer with each dose?
The nurse will have to administer 3 milliliters with each dose.
When the prescriber orders medication f 150 mcg po q.12h, the pharmacy sends a bottle labeled:
medication f 0.05 mg/ml.
Milliliters will the nurse administer with each dose :
The conversion factor from mcg to mg is 1/1000.
Therefore, 150 mcg = 150/1000 = 0.15 mg.
The nurse has to administer 0.15 mg of medication f per dose.
The medication f available with the pharmacy is 0.05 mg/ml.
So, the nurse has to administer 0.15 mg in a single dose, which is equal to three times the quantity of medication f available in the bottle (0.05 mg/ml).
Therefore, the nurse has to administer 3 ml (0.05 mg/ml × 3 ml) of medication f with each dose.
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An angle measures 18° less than the measure of its complementary angle. What is the measure of each angle?
Step-by-step explanation:
COMPLEMENTARY ANGLES :THE ANGLES WHICH HAVE SUM OF THEIR ANGLES = 90°
Let the measure of angle be x°.
◕ It's compliment = (90 - x )°.
According to the question ;
⇢x=(90°−x)−18°
⇢x + x = 90° − 18°
⇢2x=72°
⇢x= 72°/2
⇢x=36°
And, it's compliment = 54°
MATH101 Assignment 2: Problem 20 The following simultaneous inequalities define a set S in the (x,y)-plane: 30y≤64−x2,30x≤64−y2. Notice that swapping the letters x and y in the defining inequalities make no difference to the resulting collection of points. Geometrically, this means that the set S has mirror symmetry across the line y=x. (a) Sketch the set S. The boundary of S has several "corner points", i,e., boundary points at which the tangent line to the boundary is undefined. Find the corner points in Quadrant 1 (where x≥0 and y≥0 ) and Quadrant 3 (where x≤0 and y≤0 ). ANSWERS: Quadrant 3 corner point: (x,y)=( (b) Let S_3 denote the part of set S lying in Quadrant 3 , where x≤0 and y≤0. Find the area of S_3. ANSWER: Area(S_3)= (c) Let S_1 denote the part of set S lying in Quadrant 1, where x≥0 and y≥0. Find the area of S_1. ANSWER: Area(S_1)==
(a) Quadrant 1 corner points: (4, 4) and (0, 4). (b) Area(S_3) = 128 square units. (c) Area(S_1) = 128 square units.
(a) The corner points in Quadrant 1, where x≥0 and y≥0, can be found by setting x or y to zero in the given inequalities. For x = 0, we have 30y ≤ 64, which gives y ≤ 64/30. For y = 0, we have 30x ≤ 64, which gives x ≤ 64/30. Therefore, the corner points in Quadrant 1 are (0, 64/30) and (64/30, 0).
(b) To find the area of S_3, we integrate the inequality 30y ≤ 64 - x^2 over the region in Quadrant 3, where x ≤ 0 and y ≤ 0. Integrating with respect to y, we get the bounds 0 ≤ y ≤ sqrt((64 - x^2)/30) and integrating with respect to x, we get the bounds -4 ≤ x ≤ 0. Evaluating the integral, we find the area of S_3 to be 128 square units.
(c) Similarly, to find the area of S_1, we integrate the inequality 30x ≤ 64 - y^2 over the region in Quadrant 1, where x ≥ 0 and y ≥ 0. Integrating with respect to x, we get the bounds 0 ≤ x ≤ sqrt((64 - y^2)/30) and integrating with respect to y, we get the bounds 0 ≤ y ≤ 4. Evaluating the integral, we find the area of S_1 to be 128 square units.
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stefanie has 18 grams of 20% sugar syrup, and john has 30 grams of 25% sugar syrup. how many grams of sugar are in john's syrup?
John syrup contains 11.1 grams of sugar
How to calculate the number of grams in john's syrup?Stefanie has 18 grams of 20% syrup
John has 30 grams of 25%
Therefore the number of grams of sugar in John's syrup can be calculated as follows
18× 20/100 + 30 × 25/100
= 18×0.2 + 30×0.25
= 3.6 + 7.5
= 11.1
Hence there are 11.1 grams of sugar in John's syrup
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Evaluate the triple integral ∭E x^8 e^y dV where E is bounded by the parabolic cylinder z=16−y2z=16−y2 and the planes z=0,x=4, and x=−4
The value of the triple integral is (\(16^{11}\) / 11) [(\(e^{16}\) - 1) (\(cos^8\) φ) (2π)] where E is bounded by the parabolic cylinder z=16−y2z=16−y2 and the planes z=0,x=4, and x=−4.
To evaluate the triple integral ∭E \(x^8 e^y\) dV, where E is bounded by the parabolic cylinder z=16−y² and the planes z = 0,x = 4, and x = −4, we can use the cylindrical coordinate system. Here are the steps to solve the integral:
Write down the limits of integration for each variable:
For ρ, the radial distance from the z-axis, the limits are 0 to 4.
For φ, the angle in the xy-plane, the limits are 0 to 2π.
For z, the height, the limits are 0 to 16 - y² for the parabolic cylinder, and 0 to the plane z = 0.
Write the integral using cylindrical coordinates:
∭E \(x^8 e^y\) dV = ∫\(0^4\) ∫0²π ∫\(0^{(16-y^2)\) (\(\rho^9\) \(cos^8\) φ) (\(e^y\)) ρ dρ dφ dz
Evaluate the integral:
∫0²π ∫\(0^4\)(16-y²) (\(\rho^9\) \(cos^8\) φ) (\(e^y\)) ρ dρ dφ dz
= ∫\(0^4\) ∫0²π (\(cos^8\) φ) dφ ∫\(0^{(16-y^2)}\)(\(\rho^{10\) \(e^y\)) dρ dz
= ∫\(0^4\) ∫0²π (\(cos^8\) φ) [\((16-y^2)^{11}\) / 11 \(e^y\)] dy dφ
= ∫\(0^4\) ∫0²π (\(cos^8\) φ) [(\(16^{11}\) / 11) \(e^y\) - (11/11) y² (\(16^{10}\)) \(e^y\) + (55/11) \(y^4\) (\(16^9\)) \(e^y\) - ...] dφ
= ∫\(0^4\) (\(16^{11}\) / 11) \(e^y\) [(\(cos^8\) φ) (2π)] dy
= (\(16^{11}\) / 11) [(\(e^{16}\) - 1) (\(cos^8\) φ) (2π)]
Therefore, the value of the triple integral is (\(16^{11}\) / 11) [(\(e^{16}\) - 1) (\(cos^8\) φ) (2π)].
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Question 26. Please help. I would appreciate it if you could explain your steps as well, thanks
Step-by-step explanation:
As angle BAD is a right angle (90°), angles BAC and CAD must sum up to 90°.
Therefore angle CAD = Angle BAD - Angle BAC
= 90° - (x + 20)°
= (70 - x)°
Hence the answer is G.
HELP me with the answers please
The correct option for the midpoint of the line segment , where (-1,-2) and (4,-2), is (1.5,-2).
To find the midpoint of a line segment, we use the midpoint formula, which states that the coordinates of the midpoint (M) are the average of the coordinates of the endpoints.
The midpoint formula is given by:
M = ((x1 + x2) / 2, (y1 + y2) / 2)
Let's apply this formula to find the midpoint of the line segment AB:
x1 = -1, y1 = -2 (coordinates of point A)
x2 = 4, y2 = -2 (coordinates of point B)
Using the midpoint formula:
M = ((-1 + 4) / 2, (-2 + (-2)) / 2)
= (3 / 2, -4 / 2)
= (1.5, -2)
Therefore, the midpoint of the line segment , with endpoints (-1,-2) and (4,-2), is (1.5, -2).
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Show all your work and steps
clearly please.
Application 4. Determine the coordinates for any local extrema for h(x) = 3x²e-3x. Do not classify. Keep all numbers exact. [A: /5]
The coordinates for the local extrema are (0, 0) and (2/3, 4e^(-2)).
To find the coordinates for any local extrema of the function h(x) = 3x^2e^(-3x), we need to find the critical points by taking the derivative of h(x) and setting it equal to zero.
Step 1: Find the derivative of h(x)
h'(x) = d/dx (3x^2e^(-3x))
To differentiate the function, we can use the product rule and the chain rule:
h'(x) = 6xe^(-3x) + 3x^2(-3e^(-3x))
= 6xe^(-3x) - 9x^2e^(-3x)
= e^(-3x)(6x - 9x^2)
Step 2: Set h'(x) = 0 and solve for x
e^(-3x)(6x - 9x^2) = 0
We have two factors: e^(-3x) = 0 and 6x - 9x^2 = 0.
For e^(-3x) = 0, there are no real solutions since the exponential function is always positive.
For 6x - 9x^2 = 0, we can factor out x:
x(6 - 9x) = 0
Setting each factor equal to zero:
x = 0 and 6 - 9x = 0
Solving the second equation:
6 - 9x = 0
9x = 6
x = 6/9
x = 2/3
So the critical points are x = 0 and x = 2/3.
Step 3: Find the corresponding y-values
To find the corresponding y-values, we substitute the critical points into the original function h(x).
For x = 0:
h(0) = 3(0)^2e^(-3(0))
= 0
For x = 2/3:
h(2/3) = 3(2/3)^2e^(-3(2/3))
= 4e^(-2)
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please help me...asap
how is a interfer a opposite
I still can't get the hang of this, ANYONE help me please!
first can you mark as brainlest answer
then I will answer your all questions.
The diameter of a circular cookie cake is 14 inches. How many square inches make up half of the cookie cake? Approximate using π = 3.14.
615.44 square inches
307.72 square inches
153.86 square inches
76.93 square inches
Answer:
Possibly A
Step-by-step explanation:
Answer:
76.93
Step-by-step explanation:
Let's say someone is conducting research on whether people in the community would attend a pride parade. Even though the population in the community is 95% straight and 5% lesbian, gay, or some other queer identity, the researchers decide it would be best to have a sample that includes 50% straight and 50% LGBTQ+ respondents. This would be what type of sampling?
A. Disproportionate stratified sampling
B. Availability sampling
C. Snowball sampling
D. Simple random sampling
The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."
A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.
B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.
C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.
D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.
Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.
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3.31×10 −5
g to micrograms
3.31×\(10^-^5\) g is equivalent to 0.0331 μg which is obtained by using the conversion factor.
To convert from grams to micrograms, we need to consider the conversion factor that relates the two units. The prefix "micro-" represents a factor of \(10^-^6\), which means there are 1,000,000 micrograms in a gram. Therefore, to convert grams to micrograms, we multiply the given value by 1,000.
In this case, we have 3.31×\(10^-^5\) g. To convert this value to micrograms, we can multiply it by 1,000:
= 3.31×\(10^-^5\) g × 1,000
= 3.31×\(10^-^5\) × 1,000
= 3.31×\(10^-^5\) × \(10^{3}\)
= 3.31×\(10^(^-^5^+^3^)\)
= 3.31×\(10^-^2\)
= 0.0331 μg
Therefore, 3.31×\(10^-^5\) g is equivalent to 0.0331 μg.
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4q+2b=14
3a-2b=0
a= b=
Answer: a=2, b=3
Step-by-step explanation:
Gabriella brought a person was on sale at 10% off. If she paid $59.95 include tax and the sales tax rate was 6% how much did they pay for taxed
Answer:
final price:56.56
tax amount:3.39
ANSWER ASAP PLEASE ?
Answer:
y = x + 7
Step-by-step explanation:
slope-intercept form: y = mx+b
(m is the slope and b is the y-intercept)
Note, slope is rise over run, specifically: \(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{0 - 7}{-7 - 0} = \frac{-7}{-7} = 1\\b = 7\\y = x+7\)
a frequency distribution in which high scores are most frequent (i.e. bars on the graph are highest on the right hand side) is said to be:
A frequency distribution in which high scores are most frequent is said to be positively skewed or right-skewed.
In statistics, skewness refers to the asymmetry of a probability distribution. A frequency distribution is said to be positively skewed or right-skewed if the majority of the data is concentrated on the right side of the distribution, while a few high values are outliers on the right tail. The frequency distribution will look like a graph that is shifted to the right with a longer tail on the right side.
Positive skewness means that the mean (average) of the data will be higher than the median (middle value). The median is a more robust measure of central tendency than the mean in a positively skewed distribution, because it is not influenced by the outliers on the right tail.
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