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
Answers
(c) $16,000 and $24,000, which is derived using the sum-of-the-years-digits method of depreciation.
The sum-of-the-years-digits method is a depreciation method that takes into account the fact that assets are usually more productive in their earlier years and less productive in their later years. To calculate depreciation using this method, you first need to add up the digits of the asset's useful life. In this case, the digits for the four-year life of the machine would be 10 (4+3+2+1). Then, for each year of the asset's life, you multiply the asset's cost by the fraction of its useful life remaining at the beginning of the year. For 2018, the first year of the asset's life, the fraction would be 4/10. Multiplying $45,000 by 4/10 gives you $18,000 in depreciation for 2018. Subtracting that from the original cost gives you a book value of $27,000 at December 31, 2018.
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Related Questions
20 POINTS!!!
b-74 = 12
explain your thinking
Answers
Answer:
86
Step-by-step explanation:
Step 1: Collect liketerms by switching to the terms tgat are alike to the other sideb=12+74
NOTE: while switching, the signs change to the oppositeStep 2: Add 12 + 74b=12+74
b=86
Answer:
B=86
Step-by-step explanation:
So first step is add 74 to 12 because if you subtracted b with 74 and to reverse that you have to add and 74+12=86 and that is what b equals
will the value of the integral be affected if our position sensor was not initially zeroed, resulting in the entire data set shifting either right or left on the x-axis?
Answers
Yes, the value of the integral will be affected if the position sensor was not initially zeroed, causing the entire data set to shift either right or left on the x-axis.
When integrating a function, the integral represents the accumulated area under the curve. Shifting the entire data set on the x-axis will change the positions of the data points and, consequently, the shape of the curve. This shift will alter the values of the function at each point, resulting in a different accumulated area and, therefore, a different integral value.
To illustrate this, consider a simple example where the function represents a constant value. If the data set is shifted to the right, the integral will encompass a larger area under the curve, leading to a higher integral value. Conversely, if the data set is shifted to the left, the integral will cover a smaller area, resulting in a lower integral value.
Hence, it is crucial to properly zero the position sensor and align the data set correctly on the x-axis to obtain accurate and meaningful integral values. Failing to do so can introduce errors and inaccuracies in the integration process.
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I need help! It is confusing, I need a little help
Answers
Which solid figures have their volumes calculated using the formula v = one-thirdbh, where b is the area of the base and h is the height? check all that apply. right cone oblique cylinder hexagonal pyramid rectangular prism sphere triangular prism
Answers
The solid figure that has the volume using the formula v = one-third bh, where b is the area of the base and h is the height is a right cone
Volume of a coneThe volume of a cone is as follows:
volume of a cone = 1 / 3 πr²h
where
r = radius of the baseh = height of the coneThe base of a cone is circular. Therefore, the volume of a cone can be interpreted as follows:
volume of a cone is one third multiplied by the base area of a cone and the height of the cone. Therefore, it can represented as follows:
volume of a cone = 1 / 3 bh
where
b = base arealearn more on cone here: https://brainly.com/question/15361386
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Answer:
right cone and hexagonal pyramid.
Step-by-step explanation:
..........................................................
Answers
Answer:
........??
Step-by-step explanation:
huh whattt
Two customers go to a fast food restaurant the first customer buys two burgers and one french fry for $4.75 the second customer buys three hamburgers and three french fries for nine dollars how much does each hamburger cost
Answers
Answer: $1.75
Step-by-step explanation:
Assume hamburgers are x and French fries are y.
Use a simultaneous equation to solve;
2x + y = 4.75
3x + 3y = 9.00
Using substitution;
2x + y = 4.75
y = 4.75 - 2x
Solving it;
3x + 3y = 9
3x + 3 * (4.75 - 2x) = 9
3x + 14.25 - 6x = 9
-3x = 9 - 14.25
-3x = -5.25
x= -5.25/-3
x = 1.75
y = 4.75 - 2x
= 4.75 - 2 * 1.75
= 1.25
Hamburgers are x so they cost $1.75 each.
Guys I need this in like 3 mins help
Me
Answers
Answer:
A) M =5
B= $2
hope it helped!
Step-by-step explanation:
I think.
Hi can someone thoughrly answer the question below for brainliest please
Answers
The minimum number of neckless needed to sell to make a profit is 18 thus option (A) is correct.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given,
12n > 135 + 4.50n
In order to make a profit and solve inequality,
12n - 4.50n > 135
7.5n > 135
n > 18
Thus, it needed to sell more than 18 to make a profit.
Hence "The bare minimum of necklaces that must be sold in order to turn a profit is 18".
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Give your answer in scientific notation.
7.80 × 10^7/1.0 x 10^4 =?
PLS HEEEELPPP!!!!!!
Answers
Answer:
7.8*10^3
Step-by-step explanation:
7.800
The base dimensions of a rectangular box are 1.5 x 102
centimeters by 4.3 x101
centimeters.
Find the base area of the box.
Write your answer in scientific notation and round coefficients to the nearest tenth.
Answers
❥\(\Large\pmb{ \underline {\tt Answer}}\)
Remember:-
Base of rectangular box is rectangle
Now Let's further exceed:-
we know:-
Area of rectangle = Length × Breadth
Therefore:
A = (1.5 × 10²) × (4.3 × 10)A = (150) × (43)A = 150× 43 A=6450 cm²━━━━━━━━━━━━━━━━━━━
Natalie is working two summer jobs, making $11 per hour babysitting and $10 per hour landscaping. Last week Natalie earned a total of $86 and worked 3 times as many hours babysitting as she worked hours landscaping. Determine the number of hours Natalie worked babysitting last week and the number of hours she worked landscaping last week.
Answers
Answer:
Natalie worked 6 hours babysitting and 2 hours landscaping
Step-by-step explanation:
10 x 2 = 20
11 x 6 = 66
6 is 3 times as much as 2
66 + 20 = 86
Answer:
6 hours and 2 hours----------------------------------
Let the number hours babysitting be b and landscaping be l.
She earns 11b for b hours babysitting and 10l for 10 hours landscaping.
Set up equations according to given details:
11b + 10l = 86 b = 3lSolve the system by substitution:
11(3l) + 10l = 8633l + 10l = 8643l = 86l = 2Find b:
b = 3*2 = 6Natalie worked 6 hours babysitting and 2 hours landscaping.
Write the quadratic equation whose roots are -3 and -1, and whose leading coefficient is 1.
Answers
The quadratic equation whose roots are -3 and -1, and whose leading coefficient is 1 is x^2 + 4x + 3 = 0.
We know that the standard form of a quadratic equation is given by;
y = f(x) = ax² + bx + c = 0
We are given:
The roots of the quadratic equation are -3 and -1.
The leading coefficient of the quadratic equation is 1.
We need to find the quadratic equation.
The roots of the quadratic equation are -3 and -1.
So, (x + 3) and (x + 1) will be the factors.
Since the leading coefficient of the quadratic equation is 1.
So, the quadratic equation is given by;
1 * (x + 3) * (x + 1) = 0
x (x + 1) + 3 (x + 1) = 0
x^2 + x + 3x + 3 = 0
x^2 + 4x + 3 = 0
So, the required quadratic equation is x^2 + 4x + 3 = 0.
Thus, the quadratic equation whose roots are -3 and -1, and whose leading coefficient is 1 is x^2 + 4x + 3 = 0.
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How can powers of ten be used to find the product of 300×10^4?
Enter your answers in the boxes as whole numbers.
You can add BLANK zeros to the end of the number 300 to get the product of BLANK .
Answers
We can add four zeros to the end of the number 300 to get the product of 300×10^4, which is 3,000,000.
To find the product of 300×10^4 using powers of ten, we first need to move the decimal point in 300 four places to the right to get 3,000,000. This is because each power of ten represents the number of zeros we need to add to the original number. So 10^4 means we need to add four zeros.
Therefore, we can add four zeros to the end of the number 300 to get the product of 300×10^4, which is 3,000,000.
To use powers of ten to find the product of 300×10^4, we can multiply 300 by 10^4, which gives us 300,000. However, this is not the final answer because we need to remember that the power of ten represents the number of zeros we need to add to the original number. So we add four zeros to the end of 300, which gives us the final answer of 3,000,000.
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Define a function in Scheme that
returns True if a matrix (list of lists) is symmetric and returns
False otherwise.
Answers
Here's a Scheme function that checks whether a matrix is symmetric or not:
```scheme
(define (is-symmetric-matrix matrix)
(define (get-element matrix i j)
(if (null? matrix)
#f
(if (= i 0)
(if (null? (car matrix))
#f
(if (= j 0)
(car (car matrix))
(get-element (cdr matrix) i (- j 1))))
(get-element (cdr matrix) (- i 1) j))))
(define (is-matrix-symmetric-helper matrix i j)
(if (null? matrix)
#t
(if (equal? (get-element matrix i j)
(get-element matrix j i))
(is-matrix-symmetric-helper matrix i (+ j 1))
#f)))
(if (null? matrix)
#t
(is-matrix-symmetric-helper matrix 0 0)))
```
The function `is-symmetric-matrix` takes a matrix as an input, which is represented as a list of lists. It uses a helper function called `is-matrix-symmetric-helper` to compare each element of the matrix with its corresponding element in the transposed position. The `get-element` function is used to retrieve the element at position `(i, j)` in the matrix.
The `is-matrix-symmetric-helper` function recursively iterates over the matrix, comparing each element with its transposed element. If any pair of corresponding elements is found to be different, it immediately returns `#f` (False), indicating that the matrix is not symmetric. If it reaches the end of the matrix without finding any differences, it returns `#t` (True), indicating that the matrix is symmetric.
Finally, the main `is-symmetric-matrix` function first checks if the matrix is empty. If it is, it immediately returns `#t` since an empty matrix is considered symmetric. Otherwise, it calls the helper function with the initial indices `(0, 0)` and returns its result.
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A tabletop in the shape of a trapezoid has an area of 5,994 square centimeters. Its longer base measures 131 centimeters, and its shorter base is 85 centimeters. What is the height?
The height of the tabletop is ___ centimeters. Please help this is due soon
Answers
To find the height of the trapezoid-shaped tabletop, we can use the formula for the area of a trapezoid.
Given that the area is 5,994 square centimeters, the longer base is 131 centimeters, and the shorter base is 85 centimeters, we can calculate the height of the trapezoid.
The formula for the area of a trapezoid is given by A = (1/2) × (b1 + b2) × h, where A is the area, b1 and b2 are the lengths of the bases, and h is the height.
We are given that the area is 5,994 square centimeters, the longer base is 131 centimeters, and the shorter base is 85 centimeters.
Substituting these values into the formula, we can solve for the height:
5,994 = (1/2) × (131 + 85) × h
Simplifying the equation:
5,994 = (1/2) × 216 × h
5,994 = 108h
Dividing both sides by 108:
h = 5,994 / 108
h = 55.5
Therefore, the height of the tabletop is 55.5 centimeters.
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Kai wants to buy a new surfboard. He earns $12.50 each time he mows a lawn. He keeps track of the total amount of money that he has, y, with the equation y-12.5x+30
. The x represents the number of lawns that Kai mows. What does the y-intercept represent in this equation?
A
The cost of the surfboard
B
The number of lawns that Kai mows
C
The total money that Kai will make
D
The money that Kai started with before he mowed any lawns
Answers
Answer:
D. The money that Kai started with before he mowed any lawns.
Step-by-step explanation:
We Know
The equation is y = mx + b
The x represents the number of lawns that Kai mows.
What does the y-intercept represent in this equation?
The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.
Answer:
The Answer is D
Step-by-step explanation:
What are the next two terms in the sequence 22, 14, 6, __, __?
A. -2,-10
B. 8,0
C. 5,0
D. 0,-8
Answers
Answer:
A. -2,-10
Step-by-step explanation:
Got it right on my test :)
If a translation is described as (x -5, y), how has the original image changed?
Answers
Answer:
It moves the x value 5 units to the left.
Step-by-step explanation:
"x - 5" means that we are subtracting 5 to whatever x value we are given. The "y" value doesn't change.
Since we are subtracting to the x value, we are going to move left 5 units.
Let's say we had the point (5, 5).
If we use the translation rule;
(5 - 5, 5)
(0, 5)
We moved the x value 5 units to the left.
Best of Luck!
Use the multiplication law for logarithms to simplify the following expression.
log20(5) + log20(4)
20 points avaliable
Answers
Answer: 1
Step-by-step explanation:
remember logx(a)+logx(b)=logx(a×b)
∴ log20(5)+log20(4)
=log20(5×4)
=log20(20)
=1
6A dice is tossed 60 times and the number it lands on isrecorded.Number 1 2 35Frequency7 12 10 6 15 10After being tossed 180 times how many times would youexpect it to land on:a) 4b) >3c) Evenw
Answers
Ok the first thing we have to do is calculate the approximate values of each number's probability. That probability tells how often will the dice land on a certain number. To approximate it you have to divide every frequency by the total amount of times the dice was tossed. Let's do that for every number:
\(\begin{gathered} P(1)=\frac{7}{60}=0.118 \\ P(2)=\frac{12}{60}=0.2 \\ P(3)=\frac{10}{60}=0.166 \\ P(4)=\frac{6}{60}=0.1 \\ P(5)=\frac{15}{60}=0.25 \\ P(6)=\frac{10}{60}=0.166 \end{gathered}\)Now we can solve the question. For example if you want to know how many times the dice is expected to land on 4 you just need to multiply the probability for that number, which I called P(4), for the total amount of times the dice was tossed, which are 180 times:
\(P(4)\cdot180=0.1\cdot180=18\)And that's the answer for a.
For item b we need to make more operations. We are being asked how many times the dice is expected to land on a number greater than 3. For this we'll have to use the probability for all the numbers on the dice that are greater than 3: 4, 5 and 6. We'll need to add all these probabilities and multiply the result od that sum by 180:
\((P(4)+P(5)+P(6))\cdot180=(0.1+0.25+0.166)\cdot180=0.516\cdot180=92.88\)Since 92.88 isn't a whole number we round it to 93 and that's the answer for item b.
We can repeat our calculations for item c but using the probabilities of the even numbers instead. Said numbers are 2, 4 and 6:
\((P(2)+P(4)+P(6))\cdot180=(0.2+0.1+0.166)\cdot180=0.466\cdot180=83.88\)Rounding 83.88 we have 84, the solution to item c.
Choose the graph that is represented by the function:
y=- 63/4x2 + x4 - 4
Select one:
a. D
b. B
c. C
d. A
Answers
Answer:
is a. D.
Step-by-step explanation:
I hope you serve my answer and goodluck ^^
G= Square Root m/t^2
M= 5. 4 x 10^-5
T= 1. 6 x 10^-2
Work out the value of G
Give your answer in standard form correct to 3 significant figures
Answers
The value of G, correct to three significant figures and in standard form, is\(4.59 \times 10^-^1\).
To work out the value of G using the given formula G = √(m/t^2), we need to substitute the given values for m and t.
Given:
m = 5.4 x 10^-5
t = 1.6 x 10^-2
Substituting the values into the formula:
\(G = \sqrt(5.4 \times10^-^5 / (1.6 \times10^-^2)^2)\)
First, we need to square the value of t:
\(t^2 = (1.6 \times10^-2)^2 = 2.56 \times 10^-^4\)
Next, we divide m by t^2:
m / t^2 = 5.4 x 10^-5 / 2.56 x 10^-4 = 0.2109375
Finally, we take the square root to find G:
G = √0.2109375 = 0.459
Rounding the answer to three significant figures, the value of G is approximately 0.459.
In standard form, this is 4.59 x 10^-1.
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PLS HELP WILL GIVE BRAINLIEST!! What is the average of these three numbers: 6.72, 8.40, 8.40
Answers
Answer: 7.36
Step-by-step explanation:
avg = (6.72 + 8.40 + 8.40)/3 = 23.52/3 = 7.36
The box plots below show the distributions of the
numbers of visitors each day to two attractions.
a) Work out the interquartile range of the numbers of
visitors to
i) the museum.
ii) the farm.
b) Copy and complete the sentences below.
Museum
H
Farm
H
0 100 200 300 400 500 600 700 800
Number of visitors
The interquartile range for the museum is greater / less than the interquartile range for the farm.
This suggests that the numbers of visitors to the museum are more/less consistent.
Answers
The interquartile range for the museum is 280
The interquartile range for the farm is 200
The interquartile range for the museum is greater than the interquartile range for the farm.
This suggests that the numbers of visitors to the museum are less consistent.
How to find the interquartile rangeThe interquartile range is solved using the formula
= top quartile - bottom quartile
Where
the bottom quartile is at the box's edge, the top side.
the top quartile is towards the box's edge the downside.
the museum
The interquartile range is
= top quartile - bottom quartile
= 500 - 220
= 280
the farm
The interquartile range is
= top quartile - bottom quartile
= 460 - 260
= 200
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lines AB and CD are perpendicular to each other. If 3 measures (4x + 3)°, and 4 measures 43°, what is the value of x?
Answers
Step-by-step explanation:
4x+3+43=180
46+4x=180
4x=180-46
4x/4=134/4
X=33,5
Lonnie works weekends at his uncle’s apple orchid. He has 47 baskets of apples to pack. Each basket holds 35 apples. How many apples in all will Lonnie pack?
Answers
Answer:
Step-by-step explanation:
baskets times apples
47 times 35
=1645
pls mark me brainliest
Write the given fraction as a decimal: 18/40.
Answers
suppose that rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 222 different toppings. what is the probability that rosa's mom chooses sausage and onion?
Answers
The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to
(1/ ⁸C₂).
As given in the question,
Total number of different toppings = 8
Number of different toppings choose by Rosa's mom randomly = 2
Possibility of choosing sausage and onion (any one) = 1
Total number of outcomes = ⁸C₂
Number of favorable outcomes = 1
Probability of choosing sausage and onion ( exactly ) one topping
= ( Number of favorable outcomes ) / ( Total number of outcomes )
= ( 1/⁸C₂ )
Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).
The above question is incomplete, the complete question is:
A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings
below:
Pepperoni ,Sausage, Chicken , Green pepper , Mushroom ,Pineapple, Ham, Onion
Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.
What is the probability that Rosa's mom chooses sausage and onion?
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Answer:
1/8c^2
Step-by-step explanation:
Khan Acadmey
Find the values for x and y that make triangle GHM = triangle MPG by SSS.
Answers
Answer: x=9 y=13
Step-by-step explanation:
algebra nation said so
how many solutions do the following equations have?
y=3x+3
y=−2x+3
Answers
Answer:
One solution (0, 3).
Step-by-step explanation: