Archie co. purchased a framing machine for $45,000 on january 1, 2018. the machine is expected to have a four-year life, with a residual value of $5,000 at the end of four years. using the sum-of-the-years-digits method, depreciation for 2018 and book value at december 31, 2018, would be:_________.
a) $18,000 and $27.000.
b) $16,000 and $29,000.
c) $16,000 and $24,000
d) $18,000 and $22,000

Answer:

Y=24 X=36

Step-by-step explanation:

Sum of two numbers =60

x + y=60

difference of two numbers=12

x - y=12

adding above two equations, we get

x=36 and y= 24

Answer:

Step-by-step explanation:

Convert to a set of algebraic equations:

x+y=60,

y-x=12

Make y in terms of x:

y-x=12

y=12+x

Plugin y in terms of x to x+y=60:

x+12+x=60

Simplify to find x:

2x=60-12

2x=48

x=24

Find y based on x:

x+y=60

plugin 24 to x:

24+y=60

y=60-24

y=36

Check with the second equation:

36-24=12

The function works

x=24, y=36

Answer: 2.75

per 0.1  gall

Answer:

y = 3(x-1) + 3

This is because the 1 equals h in this equation and 3 equals k, which will give you the point (1,3)

Answer:

196 children

Step-by-step explanation:

adults=x

children=y

10.5x+8.5y=3136

x+56=y

x=140, y=196

A scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

Therefore, a scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

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The probability that all four cards drawn from a deck are black cards is 1/4165.

There are 26 black cards and 52 cards in a standard deck of cards. Therefore, the probability of drawing a black card from a standard deck of cards is 26/52 or 1/2. In the first draw, there are 26 black cards out of 52 cards, so the probability of drawing a black card is 26/52.

In the second draw, there are 25 black cards left out of 51 cards, so the probability of drawing a black card is 25/51. In the third draw, there are 24 black cards left out of 50 cards, so the probability of drawing a black card is 24/50. In the fourth draw, there are 23 black cards left out of 49 cards, so the probability of drawing a black card is 23/49.

Using the multiplication principle of probability, the probability that all four cards drawn from a deck are black cards is 26/52 × 25/51 × 24/50 × 23/49 = 1/4165.

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The wavelength of a sound wave with a frequency of 20 Hz is approximately 17.15 meters.

The wavelength, in meters, of a sound wave with a frequency of 20 waves per second can be calculated using the formula: wavelength = speed of sound / frequency. The speed of sound in air at room temperature is approximately 343 meters per second. Therefore, the wavelength can be calculated as follows:
wavelength = 343 m/s / 20 Hz
wavelength = 17.15 meters

So the wavelength of a sound wave with a frequency of 20 waves per second is 17.15 meters. To find the wavelength of a sound wave with a frequency of 20 Hz, you can use the formula:

Wavelength = Speed of sound / Frequency
The speed of sound in air is approximately 343 meters per second (m/s). So, for a frequency of 20 Hz:
Wavelength = 343 m/s / 20 Hz = 17.15 meters

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No, the maximum demand for bracelets will not be met if the store produces the optimal number of bracelets and necklaces. This is because the optimal solution is determined by the store’s profit, which is contingent on the cost of production and the demand for the product.

The optimal number of bracelets and necklaces produced is the point where the cost of production is minimized while the demand for the product is maximized. In this case, the optimal solution will not be enough to meet the maximum demand for bracelets.

If the store does not produce any bracelets, the resulting profit from the necklaces will depend on the demand for necklaces. If the demand is high enough, the store could make a higher profit from necklaces than if it were to produce bracelets.

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Answer:

71.7

Step-by-step explanation:

If you draw out a picture and visualize it, you will be able to see that you need to use inverse cosine to solve this. Plug in cos^-1 (2.2/7) and you will get 71.7 as your answer.

Answer:

71.7 degrees

Step-by-step explanation:

1. Given that A∗C∗D and C is not between A and B, we need to prove B∗C∗D. 2. Since A, C, and D are collinear, they lie on the same line. 3. As B is not between A and C, it must lie on the same line as A, C, and D, which proves B∗C∗D.


To prove that B∗C∗D, we need to show that B lies on the same line as C and D.
Since A∗C∗D, we know that A, C, and D are collinear and lie on the same line.
If C is not between A and B, it means that B is not between A and C.
Therefore, B must lie on the same line as A, C, and D, which proves B∗C∗D.

Given A∗C∗D and C is not between A and B, we need to prove B∗C∗D. Since A, C, and D are collinear, they lie on the same line. If C is not between A and B, it means that B is not between A and C. Therefore, B must lie on the same line as A, C, and D. This implies that B∗C∗D. Thus, we have proven that if A∗C∗D and C is not between A and B, then B∗C∗D.

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The areas of the shapes that encompass the shaded region.

The area of the circle, and then subtract the area of the circle from the area of the square to find the area of the shaded region.
Identify the shapes that make up the entire figure, including the shaded region.
Calculate the area of each individual shape using their respective formulas:
  - Rectangle: A = length × width
  - Square: A = side²
  - Circle: A = π × radius²
  - Triangle: A = ½ × base × height
Subtract the areas of any shapes that are not part of the shaded region from the areas of the shapes that encompass the shaded region.
For example, if the shaded region is a square with a circle cut out, you would calculate the area of the square

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Approximately 882 cm of the plumb bob's length oscillates once every 4.2 seconds.

According to the given information, the time of oscillation (T) is proportional to the square root of the length of the plumb bob:

T ∝ √L

Using this proportionality, we can set up an equation:

T₁ / T₂ = √(L₁ / L₂)

where T₁ is the time of oscillation (1 second), L₁ is the length of the plumb bob (50 cm), T₂ is the unknown time of oscillation (4.2 seconds), and L₂ is the unknown length of the plumb bob.

Plugging in the known values:

1 / 4.2 = √(50 / L₂)

To solve for L₂, we can square both sides of the equation:

1 / (4.2)² = 50 / L₂

L₂ = 50 * 17.64

L₂ ≈ 882

Therefore, the length of the plumb bob oscillating once in 4.2 seconds is approximately 882 cm.

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The coordinate of the intercepts of the graph are (0, -1) and (1/3, 0).

The equation of the line is given as;

y = 3x - 1.

For x-intercept put y = 0;

0 = 3x - 1.

x = 1/3

x-intercept = (1/3, 0)

Now, for y-intercept, put x = 0.

y = 3x0 - 1

y = -1

y-intercept = (0 , -1)

Thus, the coordinates of the intercepts are (0, -1) and (1/3, 0).

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Answer:

The line meeting the criteria is y = (1/2)x + 6 does not match any of the answer options.

Step-by-step explanation:

Let's use the slope-intercept form of a linear equation:  y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).  We are given the slope, (1/2), so let's put that into the equation:

   y = (1/2)x + b

It is the value we choose for b that will make the line pass through point (6,-3).  We can determine that value by entering the given point in the equation and then solving for b:

y = (1/2)x + b

-3 = (1/2)*(6) + b for point (6,-3)

-3 = 3 + b

b = -6

The full equation is thus y = (1/2)x + 6

See the attached graph.

===

The `list of options doesn't have an equation that matches this conclusion.  The first two aren't even equations.  Assuming for the moment they are mistyped and should have an "=" sign after the y, we will change the list as follows:

Original   New

y-2x+6     y=2x+6

y-1x-6       y=1x-6

y=2x-3     y=2x-3

y=x+3      y=x+3

The slopes are either +1 or +2.  None have the required slope of (1/2)

Answer:

an equilateral triangle

Answer:

First you make 3/10=0.3 the 1/3=0.33 then 0.3+0.33=0.63

Answer:  b

Step-by-step explanation:

I think

The given problem statement is about determining the Boolean function, the truth table, and the logic diagram of an LED board having four types of LED, including blue, green, white, and red. The objective is to light up blue and white LEDs simultaneously.

An LED (Light Emitting Diode) is a semiconductor device that emits light when an electric current is passed through it. LEDs are commonly used in electronic circuits and devices such as watches, calculators, and traffic lights to display information. They can be found in various shapes, sizes, colors, and brightness. LEDs have several advantages over traditional incandescent bulbs, such as lower energy consumption, longer lifespan, and faster switching.

The LED board includes four types of LED: blue, green, white, and red. The LEDs are arranged in pairs such that 0 and 4 numbers LEDs are blue, 1 and 5 numbers are green, 2 and 6 numbers are white, and 3 and 7 are red. We want to light up blue and white LEDs at the same time. The output function should be determined using Boolean function knowledge and drawing the truth table, deriving the function, and drawing the logic diagram.Solution:To solve this problem, we need to use the Boolean function knowledge.

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Answer:

45º

Step-by-step explanation:

alternate interior angles are congruent

x + 30 = 75

Subtract 30 from both sides

x = 45º

These aspects, among others, contribute to the overall aesthetic response to an Art Song. However, it's important to note that individual preferences and cultural backgrounds can greatly influence how a listener perceives and responds to the music. Each person's aesthetic response may be unique, and an Art Song can evoke a range of emotions and interpretations based on personal experiences and sensibilities.

Here, we have,

Instrumentation: The combination of one voice and piano in an Art Song creates an intimate and nuanced sonic palette. The piano provides harmonic support and textures while allowing the voice to take the lead. The delicate interplay between the voice and piano can evoke a sense of intimacy and draw the listener into the music.

Style of Singing: Art Songs are often characterized by a lyrical and expressive style of singing. The singer's ability to convey emotions, communicate the meaning of the text, and deliver a captivating performance can leave a lasting impression. The nuances in phrasing, dynamics, and vocal technique contribute to the overall aesthetic response.

Language of Text: The language used in an Art Song can evoke different aesthetic responses depending on the listener's familiarity with the language and cultural background. The choice of language may enhance the poetic quality of the lyrics, evoke specific imagery or cultural associations, and deepen the emotional connection to the music.

Word Painting: Art Song composers frequently use word painting techniques to musically illustrate or depict specific words or phrases in the text. These musical gestures can include melodic contour, rhythmic patterns, dynamic contrasts, and harmonic choices. Word painting enhances the listener's understanding and emotional engagement by creating vivid musical images and reinforcing the meaning of the text.

Emotional Range: Art Songs often explore a wide range of emotions, from melancholy and introspection to joy and passion. The music's ability to evoke and express these emotions can elicit a profound aesthetic response in listeners. The shifts in mood, dynamics, and melodic lines can create an emotional journey that resonates with the listener's own experiences and feelings.

Musical Storytelling: Art Songs can tell stories or convey narratives through the integration of music and text. The composer's use of melodies, harmonies, and rhythmic patterns can depict characters, events, and landscapes, enabling the listener to engage with the story being told. The unfolding narrative and the music's ability to convey the story's essence can captivate and emotionally move the listener.

These aspects, among others, contribute to the overall aesthetic response to an Art Song. However, it's important to note that individual preferences and cultural backgrounds can greatly influence how a listener perceives and responds to the music. Each person's aesthetic response may be unique, and an Art Song can evoke a range of emotions and interpretations based on personal experiences and sensibilities.

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Answer: 75.3

Step-by-step explanation: Pi x r^2 x h/3

3.14 = pi

r=2.99848

3.14 x 2.99848^2 x 8/3 = 75.32

Answer:

164 degrees

Step-by-step explanation:

The measure of the individual internal angle in a polygon is;

(n-2)180/n

n = 22

So we have;

(22-2)180/22

= (20 * 180)/22

= 163.64 degrees

To the nearest whole number, this is 164

The standard deviation of the sampling distribution of the sample mean for the 36 fish will be less than 0.0003.

What is standard deviation?

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

standard deviation of sample mean = sigma X'=sigma/√n=2

according to the question,

we are given the mean to be 37.2

standard deviation=12.0

sample=36

n=(6/0.5)2 =144

n=p(1-p)/(0.05)2 =0.2*0.8/(0.05)2 =64

for normal distribution z score =(p'-p)/sigma p      

here population proportion=     p= 0.510      

sample size       =n= 600      

std error of proportion=σp=√(p*(1-p)/n)= 0.0204      

probability = P(X<0.42) = P(Z<-4.41)= 0.0000

therefore less than 0.0003 is correct.

Therefore, the standard deviation of the sampling distribution of the sample mean for the 36 fish will be less than 0.0003

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Answer:

(-1,1)(2,-8)

Step-by-step explanation:

-1-2=-3

1-8=-7

the slope of the line is (-3,-7)

correct me if i am wrong and also refresh your screen because i had changed my answer after i had noticed the second plotted point

The transfοrmatiοn frοm the parent graph \(f(x) = 3^x\)tο \(g(x) = -2(3)^x+5\) can be described as a reflectiοn abοut the x-axis, fοllοwed by a vertical cοmpressiοn by a factοr οf 2, and finally, a vertical shift upward by 5 units.

The functiοn g(x) is οbtained by transfοrming the parent graph οf \(f(x) = 3^x\)in the fοllοwing way:

Therefοre, the transfοrmatiοn frοm the parent graph \(f(x) = 3^x\) tο\(g(x) = -2(3)^x+5\) can be described as a reflectiοn abοut the x-axis, fοllοwed by a vertical cοmpressiοn by a factοr οf 2, and finally, a vertical shift upward by 5 units.

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he function A(x) = x(x + 5) has a local minimum value of -25/4, no local maximum values, no inflection point, and is concave upward for the entire domain.

To analyze the function A(x) = x(x + 5), we need to find the interval of increase, interval of decrease, local minimum values, local maximum values, inflection point, and intervals of concavity.

(a) To find the intervals of increase and decrease, we need to examine the sign of the derivative.

A'(x) = (x + 5) + x

= 2x + 5

Setting A'(x) = 0 and solving for x:

2x + 5 = 0

2x = -5

x = -5/2

The critical point is x = -5/2.

Now, we can construct a sign chart for A'(x):

     |   -∞   | -5/2  |   +∞   |

_________________________________

A'(x) |   -    |   0   |   +    |

_________________________________

From the sign chart, we observe that A'(x) is negative to the left of -5/2, indicating a decreasing interval, and positive to the right of -5/2, indicating an increasing interval.

Therefore, the interval of decrease is (-∞, -5/2) and the interval of increase is (-5/2, +∞).

(b) To find the local minimum and maximum values, we need to check the behavior around the critical point and at the endpoints of the interval.

Let's evaluate A(x) at x = -5/2 and the endpoints.

A(-5/2) = (-5/2)(-5/2 + 5)

= (-5/2)(5/2)

= -25/4

The critical point (-5/2, -25/4) corresponds to a local minimum value.

As for the endpoints, we evaluate A(x) at x = -∞ and x = +∞:

A(-∞) = (-∞)(-∞ + 5)

= ∞

A(+∞) = (+∞)(+∞ + 5)

= +∞

Since A(x) approaches infinity at both ends, there are no local maximum values.

Therefore, the local minimum value is -25/4, and there are no local maximum values (DNE).

(c) To find the inflection point, we need to analyze the concavity of the function.

A''(x) = 2

The second derivative A''(x) is a constant, and it is always positive (2 > 0). Therefore, there are no inflection points (DNE).

(d) Since the second derivative is always positive, the graph is concave upward for all values of x.

Therefore, the graph is concave upward for the entire domain, and there are no intervals where it is concave downward (DNE).

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The calculated chi-square value of 179.58 is greater than the critical value of 7.815, we reject the null hypothesis and conclude that the length of stay is dependent on retirement at a significance level of 0.05.

What is the frequency?

The number of periods or cycles per second is called frequency. The SI unit for frequency is the hertz (Hz). One hertz is the same as one cycle per second.

To construct a table of estimated expected values, we need to find the row totals, column totals, and the total sample size.

Then we can use the formula for expected frequency:

E = (row total * column total) / sample size

Number of Nights Pre-retirement Post-retirement Total Expected Frequency

4−7 242 175 417 (242317)/687 = 111.6 (175317)/687 = 80.4

8−13 77 61 138 (77317)/687 = 35.6 (61317)/687 = 26.4

14−21 33 50 83 (33317)/687 = 15.2 (50317)/687 = 23.2

22 or more 18 31 49 (18317)/687 = 8.3 (31317)/687 = 14.7

Total 370 317 687

Now we can perform the chi-square test of independence. The null hypothesis is that the length of stay is independent of retirement, and the alternative hypothesis is that the length of stay is dependent on retirement.

(a) The chi-square test statistic is:

χ² = Σ[(O-E)²/E]

= [(242-111.6)²/111.6] + [(175-80.4)²/80.4] + [(77-35.6)²/35.6] + [(61-26.4)²/26.4] + [(33-15.2)²/15.2] + [(50-23.2)²/23.2] + [(18-8.3)²/8.3] + [(31-14.7)²/14.7]

= 179.58

(b) The degrees of freedom are:

df = (number of rows - 1) * (number of columns - 1)

= (4-1) * (2-1)

= 3

Using a chi-square distribution table with 3 degrees of freedom and a significance level of 0.05, the critical value is 7.815.

Hence, the calculated chi-square value of 179.58 is greater than the critical value of 7.815, we reject the null hypothesis and conclude that the length of stay is dependent on retirement at a significance level of 0.05.

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A point that represents how Dre can spend money on spray paint is plotted on the proportional relationship graphed at the end of the answer.

The money spent after sales tax is obtained multiplying the money spent before sales tax by a constant, hence a proportional relationship models the situation.

The general format of a proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality.

In this problem, the sales tax rate is of 10%, meaning that the total amount paid is composed as follows:

Considering x as the cost before sales tax, the equation is given as follows:

y = x + 0.1x

y = 1.1x.

Meaning that one point is given as follows:

(5,5.5).

Meaning that when the cost before sales tax is of $5, the cost including sales tax is of $5.5.

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The type of loan that Brady most likely getting  is option (a) conventional loan

Conventional loans are typically not guaranteed or insured by the government and often require a higher down payment compared to government-backed loans such as FHA or VA loans. The down payment requirement of $5,250, which is 3.5% of the purchase price, is lower than the typical down payment requirement for a conventional loan, which is usually around 5% to 20% of the purchase price.

ARM (Adjustable Rate Mortgage) loans have interest rates that can change over time, which can make them riskier for borrowers. FHA (Federal Housing Administration) loans are government-backed loans that typically require a lower down payment than conventional loans, but they also require mortgage insurance premiums.

VA (Veterans Affairs) loans are available only to veterans and offer favorable terms such as no down payment requirement, but not everyone is eligible for them. Fixed-rate loans have a fixed interest rate for the life of the loan, but the down payment amount does not indicate the loan type.

Therefore, the correct option is (a) Conventional loan

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