The depreciation expense under the straight-line method for 2022, for Monty Corp., is $5,450.
What is the straight-line depreciation method?Under the straight-line depreciation method, one of the cost-recovery methods, the depreciable amount of an asset is divided by its estimated useful life.
The quotient is the depreciation expense for each year. However, if the asset is not used for a full year, the depreciation expense is prorated according to the number of months or days that the asset is in use.
Note that the depreciable amount is the difference between the cost of the asset and its salvage value.
Cost of new machine = $124,000
Purchase date = October 1, 2022
Estimated salvage value = $15,000
Depreciable amount = $109,000 ($124,000 - $15,000)
Estimated useful life = 5 years
Estimated working hours = 10,000 hours
Depreciation method = Straight-line
Annual Depreciation Expense = $21,800 ($109,000/5)
October 1, 2022, to December 31, 2022, = 3 months
Depreciation expense for 2022 = $5,450 ($21,800 x 3/12)
Thus, using the straight-line method, Monty Corp. will record a depreciation expense of $5,450 for the new machine it purchased on October 1, 2022.
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Begging for HELP please been working on thus for 3 days and just can't make it click. please help
A) Write the letter of the graph that matches each equation below. If there is no match, none
i. y = 16x
ii. y = .25x
iii. y = 4.5x
iv. y = .05x
v. y = 10x + 1
(b) Find an equation for an exponential function that lies between graph A and graph B in the
second quadrant.
(c) Find an equation for the function that is parallel to E and has a y-intercept of (0,-4).
(d) Find an equation for an exponential function that has a greater constant percent rate of change than graph C.
(e) Find the equation of the line that is perpendicular to E and has a y-intercept of (0,5).
The analysis of the given functions is as follows;
i. y = 16ˣ ⇒ Graph C
ii. y = 0.25ˣ ⇒ Graph B
iii. y = 4.5ˣ ⇒ Graph D
iv. y = 0.5ˣ ⇒ Graph A
v. y = 10·x + 1 ⇒ Graph E
(b) The equation of the exponential function is; y = 0.375ˣ
(c) The equation of the line is; y = 10·x - 4
(d) y = 25ˣ
(e) The equation of the perpendicular line is; y ≈ 5 - 0.1·x
What are exponential functions?An exponential function in which the argument is the index value such that the power to which a constant is raised, is the argument.
i. The values of the function y = 16ˣ is given by the function that has a value of 4 when x = 0.5, which corresponds with the graph C
ii. The function, y = 0.25ˣ decreases as the value of x increases, from negative to positive which corresponds to the graph B
iii. The function y = 4.5ˣ has a value of 4.5 when x = 1, which corresponds with the graph D
iv. The function, y = 0.5ˣ also decreases as x increases and has a value of 5 when x = -1, which corresponds to the graph A
v. The function, y = 10·x + 1 is a linear function which corresponds with the graph E
(b) The exponential function of graph A and B are y = 0.5ˣ and y = 0.25ˣ respectively
An exponential function that lies between graph A and graph B is obtained by adjusting the y-intercept value to be between 0.5 and 0,25 as follows;
[tex]y =\left(\dfrac{ 0.5 + 0.25}{2}\right)^x = 0.375^x[/tex]
The exponential function that is located between graph A and B is 0.375ˣ
(c) The equation of the function of graph E is; y = 10·x + 1, which is of the form y = m·x + c
Where comparing, we get, m = 10 = The slope of the graph
The slope of parallel lines are congruent, therefore, the slope of the line parallel to the line E is also 10
The equation of the line passing through (0, -4), and parallel to the graph E in point and slope form is y - (-4) = 10·(x - 0)
y + 4 = 10·x
The equation of the line is; y = 10·x - 4
(d) An equation for an exponential function with a higher constant percent rate than graph C, y = i6ˣ is y = 25ˣ
(e) The slope of the line perpendicular to the line E, y = 10·x + 1, that has a slope m, is found as follows;
[tex]m_{\perp} = -\dfrac{1}{m}[/tex]
[tex]m_{\perp} = -\dfrac{1}{10} = -0.1[/tex]
The equation of the line is therefore; y - 5 = -0.1 × (x - 0)
y = -0.1·x + 5 = 5 - 0.1·x
The equation of the line perpendicular to line E is y = 5 - 0.1·x
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There are 12 red balls and 7 green balls in a
non-transparent black bag. What is the
least number of balls we need to take out to be certain we have taken out the
following?
two green or two red balls
The least number of balls we require to take out to be sure that we have two green or two red balls is 14.
What is the combination of balls?In the bag, there are a total number of balls of;
Total number of balls = 12 + 7 = 19 balls
Inside the bag, we have 12 red balls and 7 green balls.
The balls are selected without replacement, and this means that they are removed from the bag, and replaced back.
In theory, we could pick 12 balls, and all 12 being red, while also 13, with 12 red and 1 green e.t.c
Therefore, at least 14 balls are needed to guarantee that there are at least 2 green or two red balls
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Help with question pleaae
The length of triangle AB is 22.5.
Triangle A = 7.5
Triangle B = 15
Whole = 22.5
As per the given question
Figure is made of 2 triangles.
Triangle A
Triangle B
9
7
As it is 2 triangles so
So A = 7.5
B = 15
The whole is = 15 + 7.5
=22.5
Each part is 7.5 and 15 respectively and whole is 22.5 per square unit.
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The equation for line u can be written as y = -x + 1. Line v, which is perpendicular to line
u, includes the point (-3, 2). What is the equation of line v?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
미미
Submit
Answer:
Line v: y = x + 5
Step-by-step explanation:
Given two lines are perpendicular and the equation of one line, we use the following formula to find the slope of the other line where m1 is the slope of the line we're given and m2 is the slope of the line we want to find:
[tex]m_{2}=-\frac{1}{m_{1} }\\m_{2}=1[/tex]
The general equation of a line is y = mx + b, where m is the slope and b is the y-intercept.
Therefore we plug in our slope and the point (-3, 2) to find the y-intercept of line v:
[tex]2=1(-3)+b\\2=-3+b\\5=b[/tex]
Solve the absolute value equation: |6z-3|=5
The required solution of the given absolute value equation is z = 4/3 and z = 1/3.
Given that,
To solve the absolute value equation |6z-3|=5
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
here,
Given the absolute value equation,
|6z-3|=5
Simplify,
6z - 3 = ± 5
Taking (+)
6z - 3 = 5
6z = 8
z = 4/3
Taking (-)
6z -3 = -5
z = -1/3
Thus, the required solution of the given absolute value equation is
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Given mn, find the value of x.
(2x+6) (x+9)"
Answer:
(2x+6) = (x+9) ; x = 3
Step-by-step explanation:
-x both sides ; 2x-x = x and -6 both sides which is x = 3
2x=9 what is the value of x
Answer:
The answer is x=4.5
Step-by-step explanation:
I hope this helps
For how many values of x is h(x) = 0? Justify you answer.
Answer:
the answer for x when h(x) is 2.9
Use the summation formulas to rewrite the expression without the summation notation.
The expression without the summation notation is Sₙ = 4(n² - 1)/n²
How to rewrite an expression without the summation notation?
Summation notation is used to write a very long sum (of elements) in a very concise manner. It is also called Sigma notation
Given:
[tex]\displaystyle \sum\limits_{i = 1}^n \frac{12k(k-1)}{n^{3} }[/tex]
Below are the useful summation formulas you will need in order to rewrite the expression without the summation notation:
[tex]\displaystyle \sum\limits_{i = 1}^n i = \frac{{n\left( {n + 1} \right)}}{2}[/tex]
[tex]\displaystyle \sum\limits_{i = 1}^n {{i^2}} = \frac{{n\left( {n + 1} \right)\left( {2n + 1} \right)}}{6}[/tex]
Where i is a variable
Since 12 and n are constants, we can rewrite the given equation as follows:
[tex]\displaystyle \sum\limits_{i = 1}^n \frac{12k(k-1)}{n^{3} } = \displaystyle \frac{12}{n^{3} } \displaystyle\sum\limits_{i = 1}^n k(k-1)[/tex]
[tex]= \displaystyle \frac{12}{n^{3} } \displaystyle\sum\limits_{i = 1}^n k(k-1)[/tex]
[tex]= \displaystyle \frac{12}{n^{3} } \displaystyle\sum\limits_{i = 1}^n (k^{2}-k)[/tex]
[tex]= \displaystyle \frac{12}{n^{3} } ( \displaystyle\sum\limits_{i = 1}^n k^{2} - \displaystyle\sum\limits_{i = 1}^n k )[/tex]
Using the formula, we have:
= 12/n³ ( n(n+1)(2n+1)/6 - n(n+1)/2 ) Factorise n(n+1) out
= 12n(n+1)/n³ ( (2n+1)/6 - 1/2 )
= 12(n+1)/n² ( (2n+1-3)/2 )
= 12(n+1)/n² ( (2n-2/6) )
= 2(n+1)/n² (2n-2)
= ( (2n+2)(2n-2) )/n²
= (4n² - 4)/n²
= 4(n² - 1)/n²
Therefore, using summation formulas to rewrite the expression without the summation notation gives Sₙ = 4(n² - 1)/n²
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attachment above please
If housekeeping normally takes 10 minutes to prepare a patient’s room, how many rooms can one housekeeper be expected to handle in an 8 hour shift
4/7
of a square is painted green.5/6 of the remainder is painted red. If the green
part is 36 cm² more than the red. find the area of the square.
Answer:
168
Step-by-step explanation:
Let the area of the square be [tex]x[/tex].
[tex]\frac{4}{7}x-\frac{5}{6}\left(\frac{3}{7}x \right)=36 \\ \\ \frac{4}{7}x-\frac{5}{14}x=36 \\ \\ \frac{8}{14}x-\frac{5}{14}x=36 \\ \\ \frac{3}{14}x=36 \\ \\ \frac{1}{14}x=12 \\ \\ x=168[/tex]
Two student groups went to an amusement park on the same day. Group 1 bought 9 tickets and received a $120 discount. Group 2 bought 3 tickets and received a $30 discount. Both groups spent the same total amount of money on tickets. The price of each ticket was the same. What was the cost of each ticket?
The cost of each ticket of the amusement park is $15.
What is the system of equation?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
Two student groups went to an amusement park on the same day.
Group 1 bought 9 tickets and received a $120 discount.
Group 2 bought 3 tickets and received a $30 discount.
Let x be the amount of one ticket and y be the total amount.
According to the question:
We have system of equation,
y = 9x - 120 equation1
y = 3x - 30 equation 2
Subtract the equation 2 to equation 1.
So, 6x = 90
x = 15
Therefore, $15 is the cost of each ticket.
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a ski shop sells a pair of skis for $210. for a winter sale, the skis are 30% off. two weeks later, the shop has a clearence sale and sells the skis for 20% off the sale price. what is the clearence price of the skis
Answer: The skis cost $117.60.
Step-by-step explanation:
A pair of skis costing $210 is 30% off.
30% of $210 is $147
Then two weeks later, it will be 20% off THAT price.
20% of $147 is $117.60
Therefore, $117.60 is the clearence price of the skis. Hope this helps!
Z-Grand Shipping Company manufactures boxes in the shape of a cube.
The formula for the surface area of a cube is 6s, where s is the length of one side.
Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is
square feet
The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is
square feet
The surface area of the large box is times larger than the small box.
Please Help?
Answer:
Z-Grand Shipping Company manufactures boxes in the shape of a cube.
The formula for the surface area of a cube is 6s, where s is the length of one side.
Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is 216
square feet
The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is 54
square feet
The surface area of the large box is 4 times larger than the small box.
{So for the first line which is The surface area of each large box is
square feet.}
Ans;216
{The second line which is The surface area of each small box is
square feet.]
Ans;54
{The Third line which is The surface area of the large box is times larger than the small box.}
Ans;4
Thank you So much Hope this helps you! Please Mark Brainleast looking forward to help everyone ty!
Answer:
Z-Grand Shipping Company manufactures boxes in the shape of a cube.
The formula for the surface area of a cube is 6s, where s is the length of one side.
Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is 216
square feet
The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is 54
square feet
The surface area of the large box is 4 times larger than the small box.
{So for the first line which is The surface area of each large box is
square feet.}
Ans;216
{The second line which is The surface area of each small box is
square feet.]
Ans;54
{The Third line which is The surface area of the large box is times larger than the small box.}
Ans;4
HELPPP PLEASE FOR BRIANLEST??
Answer:
[tex]-9,-18,-27,-36[/tex]
Step-by-step explanation:
If the first term of a sequence is [tex]-9[/tex] and the common difference is [tex]-9[/tex], then each successive term in the sequence is [tex]9[/tex] less than the previous term:
[tex]a_n=-9n[/tex]
Therefore, the first term is [tex]-9[/tex], followed by [tex]-18[/tex], [tex]-27[/tex], and [tex]-36[/tex].
Find the values of x and y.
Answer:
y=60°, x=60°
Step-by-step explanation:
X=60° Angles in a Equaliteral triangles are all 60°
Alternate angle to get the base angle close to y
Y=60° because of Isoceless angles
How can i find the domain
Complete steps to find domain of function is describe below.
What is domain ?Domain is defined as the all input values which satisfy the function or can say all inputs any function have.
Steps to find the domain of function:suppose we have a function f(x) = 6x^2 + 5x - 4
For domain solve it for x
⇒ 6x^2 + 5x - 4
⇒ 6x^2+ 8x - 3x - 4
⇒ 2x(3x + 4)· -1(3x + 4)
⇒ (3x + 4) (2x - 1)
values of x are positive for quadratic equation,
⇒ (3x + 4) (2x - 1)≥0
⇒ x ≥ 1/2 or x ≥ -4/3
These are the domain of function.
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Considering the Matrix: Give the solution in terms of x. Show work.
1 0 -.05 I 2
0 1 2 I 1
0 0 0 I 0
The solution to the system of equations, in terms of x, considering the augmented matrix, is of:
y = -40x + 81.x = 20x - 40.Augmented matrix of system of equationsThe augmented matrix of a system of equations is built as follows:
Each of the columns before the | represents the coefficients of a variable.The column after the | represents the numeric value of the expression.In this problem, there are three columns before the |, the there are three variables given as follows:
x,y and z.
The expression from the first row is:
x -0.05z = 2.
The expression from the second row is:
y + 2z = 1.
The third row is all zero, meaning that there is a free variable, hence the solution to the system is written as a function of x as follows:
x - 0.05z = 2
0.05z = x - 2.
z = (x - 2)/0.05
z = 20x - 40.
Hence the solution for y is:
y = 1 - 2z
y = 1 - 40x + 80
y = -40x + 81.
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you have 9 squares and 3 circles what is the ratio
There are 6 circles and 9 squares. What is the simplest ratio of circles to squares?
There are 6 circles and 9 squares.
Factors of 6: 1,2,3,6
Factors of 9: 1,3,9
Common factors: 1,3
GCF (greatest common factor): 3
6:9
Unsimplified ratio
÷3↓↓÷3
Reduce out GCF
2:3
Simplified ratio
Visual representation:
6
2
9
Answer:
Step-by-step explanation:
1. Nine squares to three circles. You can right it as a ratio by using a colon to seperate its ratio!
9 to 3= 9:3
2. If a ratio is not simplified, always simplify it like fractions.
9:3= 3:1
3. Answer: 3:1
Which two operations are needed to write the expression that represents "five less than the quotient of a number and
three"?
The two operations that are needed to write the expression that represents "five less than the quotient of a number and three" are Division and subtraction.
What is the quotient?
A result is obtained by dividing two amounts.
The quotient is the result of a division.
The term "less than" represents subtraction.
So, the two operations that are needed to write the expression that represents "five less than the quotient of a number and three" are Division and subtraction.
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Choose the figure that models 4 divided by 4/3
The required solution to the given expression is 3 which is determined by the division operation.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
To determine the evaluation of expression 4 ÷ 4/3
When considering multiplying the fractions together, After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 12/4 However, if you simplify it by 4, your final answer will be 3.
Thus, the required solution to the given expression is 3.
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(PLEASE OPEN) Need help with triangle proofs.
The missing terms in the two column proof are;
Reason 1; Perpendicular bisector
Reason 2; Definition of perpendicular bisector
Statement 3; CO ≅ BO
Reason 3; Segment division
Reason 4; Reflexive Property of Congruence
Reason 5; Definition of Isosceles Triangle
Reason 6; AAS Congruency Postulate
How to carry out two column proof of triangles?From the given image, we want to use the two column proof to prove that ΔAOB ≅ ΔAOC
Now, we have the two column proof as follows;
Statement 1; AO ⊥ BC
Reason 1; Perpendicular bisector
Statement 2; ∠AOB and ∠AOC are right angles
Reason 2; Definition of perpendicular bisector
Statement 3; CO ≅ BO
Reason 3; Segment division
Statement 4; AO ≅ AO
Reason 4; Reflexive Property of Congruence
Statement 5; AB ≅ AC
Reason 5; Definition of Isosceles Triangle
Statement 6; ΔAOB ≅ ΔAOC
Reason 6; AAS Congruency Postulate
The final proof is AAS Congruency postulate because it has 2 congruent angles and the non-included congruent side.
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mr colton needs 4.62 cups of flour to make 3 pound of dough.How many cups does she need to make 2 pounds of dough
The number of cups that Mr Colton need to make 2 pounds of dough is 3.08 cups.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B). This indicates that you're dividing information A by B. For instance, the ratio will be 5/10 if A is 5 and B is 10
Let the number of cups be represented by x.
This will be expressed as:
2/3 = x/4.62
Cross multiply
3x = 2 × 4.62
3x = 9.24
Divide
x = 9.24 / 3
x = 3.08
Therefore, 3.08 cups are needed.
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Answer:
The number of cups that Mr Colton need to make 2 pounds of dough is 3.08 cups.
Step-by-step explanation:
¿Cuál es la ordenada en el origen de la recta que pasa por el punto P(-4, 5) y cuya pendiente es 2?
The y-intercept of the line passes through the point (-4,5) with slope 2 is y = 13.
Given:
(-4,5) and slope m = 2
substitute in y=mx+c
5 = 2*(-4) + c
5 = -8 + c
c = 5 + 8
c = 13.
c value in y = 2x + c
y = 2x + 13
To find y-intercept put x = 0.
y = 2(0) + 13
y = 0+13
y = 13
Therefore the y-intercept of the line passes through the point (-4,5) with slope 2 is y = 13.
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Alyssa is signing up for a gym membership with a one-time fee to join and
then a monthly fee to remain a member. Let C represent the total cost of the
gym membership over t months. The table below has select values showing
the linear relationship between t and C. Determine the one-time joining fee.
Answer: $
t
2
4
9
C
200
250
375
Submit Answer
The one time joining fee found from the linear relationship between total cost and the number of months of membership is $250
What is a linear relationship?A linear relationship is a relationship between two variables that has a straight line when graphed.
The total cost of the gym membership = C
The number of months of membership = t
The table in the question is presented as follows;
t (Time in months) [tex]{}[/tex] C (Total cost)
2 [tex]{}[/tex] 200
4 [tex]{}[/tex] 250
9 [tex]{}[/tex] 375
The linear equation that represents the value in the table is found as follows;
Slope of the line, m = (375 - 250)/(9 - 4) = 25
The equation of the line in point and slope form is therefore;
(C - 375) = 25·(t - 9)
C = 25·(t - 9) + 375
C = 25·t - 225 + 375 = 25·t + 250
C = 25·t + 250
The joining fee is the amount paid at the start when t = 0, therefore;
Joining fee = 25 × 0 + 250 = 250
The one time joining fee is $250
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Write the equation of the line that passes through the points (5,—9) and (-7, 7).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line.
Answer:
[tex]y-7=-\frac{4}{3}(x+7)[/tex]
Step-by-step explanation:
The slope of the line is [tex]\frac{-9-7}{5-(-7)}=-\frac{4}{3}[/tex].
The equation of the line passing through the point [tex](x_1, y_1)[/tex] and slope [tex]m[/tex] is [tex]y-y_1=m(x-x_1)[/tex], so the equation is [tex]y-7=-\frac{4}{3}(x+7)[/tex].
Janelys is going to invest in an account paying an interest rate of 5.9% compounded daily. How much would Janelys need to invest, to the nearest ten dollars, for the value of the account to reach $1,890 in 12 years?
The amount that should be invested to the nearest ten dollars is $930.
How much should be invested today?When an amount is compounded daily, it means that the investment increases in value everyday over the investment period.
In order to determine how much should be invested today, the present value of $1890 has to be determined.
The formula for determining the present value is:
PV = FV ÷ (1 + r)^nm
Where:
FV = future value of the investment r = daily interest rate = 5.9% / 365 = 0.01616%n = number of years m = number of compoundingPV = 1890 ÷ (1.00016)^(12 x 365) = 930
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Please help please and thanks ..
In the given triangle JKL , NO = 26 units and JK = (7x + 17) units, then the value of x is equal to 5 units.
As given in the question,
In the given triangle JKL,
M, N ,O are the mid-points of the side JK, JL, KL of the triangle respectively.
Measure of NO is equal to 26 units
Measure of JK is equal to (7x + 17) units
Using mid- point theorem we have,
In triangle JKL,
NO is half the measure of opposite side JK
NO = 1/2 ( JK)
⇒ 26 = 1/2 ( 7x + 17 )
⇒ 7x + 17 = 26 × 2
⇒ 7x + 17 = 52
⇒ 7x = 52 - 17
⇒ 7x = 35
⇒ x= 5 units
Therefore, for the given triangle JKL , NO = 26 units and JK = (7x + 17) units, then the value of x is equal to 5 units.
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32/25 fraction as a mixed number
The value of 32/25 as mixed number is 1 7/25
What are mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/7 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
A mixed fraction can be obtained wen there is improper fraction. Improper fraction is a fraction that it's numerator is larger than denominator for example 32/25.
To convert to mixed fraction we find the number of times 25 can go in 32, which is 1 and the remainder is 7
Therefore 32/25 = 1 7/25.
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