A company acquires equipment at a cost of $32,900 on January 3, 2004. Management estimates the equipment will have a residual value of $4,700 at the end of its 4-year useful life. Assume that the company uses the diminishing-balance method and that the diminishing-balance depreciation rate is double the straight-line rate. Calculate the depreciation expense for each year of the equipment’s life.
Answer:
Step-by-step explanation:
To calculate the depreciation expense for each year of the equipment's life using the diminishing-balance method, we need to first find the straight-line rate, and then find the diminishing-balance rate by doubling the straight-line rate.
Step 1: Calculate the straight-line rate
The straight-line rate can be calculated as follows:
SLR = (Cost - Residual Value) / Useful Life
SLR = (32900 - 4700) / 4
SLR = $27,600 / 4
SLR = $6,900 per year
Step 2: Calculate the diminishing-balance rate
The diminishing-balance rate can be calculated as follows:
DBR = 2 * SLR
DBR = 2 * $6,900
DBR = $13,800
Step 3: Calculate the depreciation expense for each year
The depreciation expense for each year can be calculated as follows:
Year 1: Depreciation Expense = Cost * (DBR / 2)
Year 1: Depreciation Expense = $32,900 * ($13,800 / 2)
Year 1: Depreciation Expense = $32,900 * $6,900
Year 1: Depreciation Expense = $227,621
Year 2: Depreciation Expense = (Cost - Year 1 Depreciation) * (DBR / 2)
Year 2: Depreciation Expense = ($32,900 - $22,761) * ($13,800 / 2)
Year 2: Depreciation Expense = $10,139 * $6,900
Year 2: Depreciation Expense = $70,223
Year 3: Depreciation Expense = (Cost - Year 1 Depreciation - Year 2 Depreciation) * (DBR / 2)
Year 3: Depreciation Expense = ($32,900 - $22,761 - $70,223) * ($13,800 / 2)
Year 3: Depreciation Expense = $10,016 * $6,900
Year 3: Depreciation Expense = $68,609
Year 4: Depreciation Expense = (Cost - Year 1 Depreciation - Year 2 Depreciation - Year 3 Depreciation) * (DBR / 2)
Year 4: Depreciation Expense = ($32,900 - $22,761 - $70,223 - $68,609) * ($13,800 / 2)
Year 4: Depreciation Expense = $21,307 * $6,900
Year 4: Depreciation Expense = $146,763
So, the depreciation expenses for each year of the equipment's life are:
Year 1: $22,761
Year 2: $70,223
Year 3: $68,609
Year 4: $146,763
This is how you can calculate the depreciation expense for each year of the equipment's life using the diminishing-balance method.
Johnny has 3 spring jackets, 2 winter jackets, and 7 running jackets, what is the total number of jackets that Johnny owns?
Answer:
12
Step-by-step explanation:
3+2+7=12
Hope this helps! Please give brainliest!
Tony saved enough money to afford a car. He needs to determine if he can afford the car insurance. Tony earns $160 per week. Tony’s yearly pay is $8,320 and his monthly pay is $693.
Tony's monthly car insurance will be 1/30 of his rounded yearly pay. Can he afford it? Explain why or why not.
Tony can afford the car insurance, and he has enough money( $426.33 ) left over each month to cover other expenses.
To determine if Tony can afford the car insurance
We need to calculate the cost of the insurance and compare it to his monthly pay.
According to the information given,
Tony's yearly pay is $8,320
and his monthly pay is $693.
If we round his yearly pay to $8,000, his monthly car insurance will be 1/30 of that amount, or $266.67.
Since Tony's monthly pay is $693, and his monthly car insurance will cost $266.67, he can afford the insurance. He will have $426.33 remaining each month after paying for the insurance.
Therefore, Tony can afford the car insurance, and he has enough money left over each month to cover other expenses. However, this calculation assumes that Tony has no other major expenses or debts, and it is always a good idea to budget carefully and consider all potential costs before making a significant purchase.
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Please help me ASAP THANKS
Answer:
i think its 1 or 3 or 5 if not what i moslty think it is is (((( 4 )))
Step-by-step explanation:
i hope this helps may luck be with YOU! :)
the equation of a curve is given by
y=x^3/3+7x^2/2+10x+d, where d is a
constant. Find the possible values of d
when the x-axis is tangent to the curve
v=x^3/3+7x^2/2+10x+d.
Answer: The x-axis is tangent to the curve when the value of y is equal to 0. So, to find the possible values of d when the x-axis is tangent to the curve, we need to solve the equation:
x^3/3 + 7x^2/2 + 10x + d = 0
To solve this equation, we need to use a method such as the cubic formula or a numerical method such as Newton-Raphson. However, it is not possible to determine a general solution for d without additional information, such as the value of x at which the tangency occurs. The possible values of d will depend on the specific value of x that satisfies the equation.
Step-by-step explanation:
The rectangle is framed find the area of shaded region if the frame is 2 unit wide
The area of the shaded region is 20 square units for the given rectangle frame.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
Dimensions of the inside rectangle, are as follows:
Length L₁ = 5 units
Width W₁ = 3 units
Since the frame is 2 units wide,
So, the dimensions of the outside rectangle, are as follows:
Length L₂ = 5 + 2 = 7 units
Width W₂ = 3 + 2 = 5 units
The area of the shaded region = area of the outside rectangle - area of the inside rectangle
The area of the shaded region = L₂ x W₂ - L₁ x W₁
The area of the shaded region = 7 x 5 - 5 x 3
The area of the shaded region = 35 - 15
The area of the shaded region = 20 square units
Thus, the area of the shaded region is 20 square units.
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The question seems incomplete, the missing figure is attached below.
HELPP ASAP
suppose
Find the value
Answer:
C, I did the math
hope this helps
Aaron launches a toy rocket from a platform. The graph below shows the height of the
rocket h in feet after t seconds. Find the interval for which the rocket's height is
increasing.
Height (in feet)
240
220
200
1800
160
140
120
100
80
60
40
20
(0, 180)
(1, 196)
(4.5, 0)
The interval for which the rocket's height is increasing is 0 to 1 second.
What does the graph show?The graph shows the way a toy rocket changes its height once it is launched. In general, it can be seen the height increases for some seconds and then the height decreases.
How to calculate the interval?To calculate the interval let's find out the second or minute at which the rocket loses height.
0 - 1 second (from this moment the rocket loses height)
Based on this, it can be concluded the interval is 0-1 seconds.
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help me pls and thank you :)
Answer:
350
Step-by-step explanation:
∑ (xy) means the sum of the products of x and y , that is
∑ (xy)
= (7 × 2) + (2 × 5) + (5 × 7) + (9 × 4) + (6 × 2) + (10 × 9) + (9 × 9) + (8 × 4) + (4 × 10)
= 14 + 10 + 35 + 36 + 12 + 90 + 81 + 32 + 40
= 350
Brigitte deposits $1000 in a savings account that earns 1.3% compound interest. Which function models the total amount of money Brigitte has over time, t ?
The formula for compound interest is:
A = P(1 + r/n)^nt
where:
A is the total amount of money after t years,
P is the initial principal or deposit amount (in this case $1000),
r is the annual interest rate as a decimal (in this case 1.3% or 0.013),
n is the number of times interest is compounded per year (in this case, let's assume it's compounded annually), and
t is the number of years.
So, the function modeling the total amount of money Brigitte has over time, t, would be:
A = $1000(1 + 0.013)^t
This function shows how the amount of money in the savings account will increase as time goes on due to compound interest.
Spring 2023
- Homework
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Question 13, 2.4.29
Part 2 of 2
mexample
What is the area of Desert 1?
3,000,000 square miles
What is the area of Desert 2?
The area of a certain desert (Desert 1) is three times the area of another desert (Desert 2). If the sum of their areas is 4,000,000
square miles, find the area of each desert.
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Desert 2 will be 4,000,000 square miles and Desert 1 will be 12,000,000 square miles.
How to calculate the dimensionsThe area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.
Desert 1 = 3x
Desert 2 = x.
Total area = 16,000,000
x + 3x = 16000000
4x = 16,000,000
Divide
x = 16000000 / 4
x = 40000000
Desert 2 = 4,000,000 square miles
Desert 1 = 12,000,000 square miles.
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Select the correct answer. What is the value of x in the equation 1,331x3 − 216 = 0? A. B. C. D.
Answer: x=0.545455
Step-by-step explanation:
add 216 to both sides
divided both sides by 1331
take cube root
Joe bought g gallons of gasoline for $2.85 per gallon and c cans of oil for $3.15 per can. Select all of the expressions representing the total amount Jorge spent on gasoline and oil that are equivalent when c = 2 and g = 5
Answers:
3.15g + 2.85c
2.85g + 3.15c
2.85c + 3.15g
7.00g + 7.00c
3.15c + 2.85g
please help geometry asap giving brainliest for whoever gives me the correct answers!!
The value of the segment in the geometry of the triangle is 17.5.
What is triangle?A triangle is a sort of polygon with three sides, as was said in the introduction. The vertex of a triangle is where two of its sides meet at an angle. There is an angle created between two sides. One of the crucial elements of geometry is this.
Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.
If a line is parallel to one side of the triangle and intersects the other two sides, then it divides the side into segments of proportional length.
Thus,
12 / (12 + 14) = 15 / (15 + x)
12(15 + x) = 15(26)
180 + 12x = 390
12x = 210
x = 17.5
Hence, the value of the segment in the geometry of the triangle is 17.5.
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Designer builds and sells small chairs and large chairs. The cost of material is $10 for each small chair and $15 for each large chair. The selling price is $22 for a small chair and $51 for a large chair. The designer spends $305 on material to make chairs. The designer makes eight more small chairs than large chairs. Write a system of equations that can be used to determine s, the number of small chairs and T, the numbers large chairs, the designer makes. How many small chairs did the designer make?
After solving the system of equations, we found that the number of small chairs is 53 and the number of large chairs is 45.
What is meant by the system of equations?
A set of equations with a finite number of solutions is referred to as a system of equations. A system of equations in algebra consists of two or more equations and looks for common answers to the equations. A group of equations that are all satisfied by the same set of variables are referred to as a system of linear equations.
Given,
Cost of material for small chair = $10
Cost of material for large chair = $15
The selling price for a small chair = $22
The selling price for a large chair = $51
The total money spent on materials = $305
Designer makes 8 more small chairs than large chairs.
If the number of large chairs = t and the number of small chairs = s
Using the given equations, we can write the following system of equations.
10s + 15t = 305
s - t = 8
Now we make the coefficient of s in both equations the same.
Multiply 10 in the second equation.
10s + 15t = 305
10s - 10t = 80
Subtracting,
5t = 225
t = 45
s = 8 + t = 45 + 8 = 53
Therefore after solving the system of equations, we found that the number of small chairs is 53 and the number of large chairs is 45.
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The registration fee for a used car is 0.6% of the sale price of 5200$. How much is the fee?
Answer: $31.20
Step-by-step explanation:
0.6% = 0.006
.: fee = 0.006 x 5200 = $31.20
K
In 1999 there were 60 million people worldwide who had been infected with a particular disease. At that time the infection rate was 3.5 million people per year.
(a) Write a formula for a linear function that models the total number of people in millions who were infected with the particular disease x years after 1999.
(b) Estimate the number of people who may have been infected by the year 2013.
f(x) = ax + b, where a and b are real values, is the formula for a linear function. In this instance, a denotes the line's gradient, and b denotes the y-axis intercept (which is sometimes called the vertical intercept).
What is linear function?A straight line makes up the graph of a linear function. The following expression describes a linear function. Y equals f(x) = a + bx. Both the independent and dependent variables of a linear function are one. Any function that depicts a straight line on the coordinate plane is said to be linear. For instance, the equation y = 3x – 2 indicates a straight line on a coordinate plane, indicating that it is a linear function. This function can be expressed as f(x) = 3x - 2 since f(x) can take the place of y. Look for a steady rate of change to determine whether a table of values depicts a linear function. You are viewing a linear function if there is one!To learn more about linear function, refer to:
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The circle graph describes the distribution of preferred music from a sample of 400 randomly selected middle school students.
a circle graph titled preferred music, with five sections labeled rock 13 percent, hip hop 25 percent, pop 35 percent, classical 13 percent, and jazz 14 percent
Which of the following conclusions can we draw from the circle graph?
Hip Hop is the preferred music for 25 students.
Together, Pop and Jazz are the preferred music for over half the students.
Classical is the preferred music for 52 students.
Together, Rock and Hip Hop are the preferred music for 172 students.
The correct conclusion from the given percentage of students of different categories is option(c): Classical is the preferred music for 52 students.
What is meant by percentage?
A figure or ratio stated as a fraction of 100 is called a percentage. It is frequently indicated by the percent sign, "%."
Given,
Total number of middle school students = 400
Percent of students who prefer rock = 13%
Percent of students who prefer hip hop = 25%
Percent of students who prefer pop = 35%
Percent of students who prefer classical = 13%
Percent of students who prefer jazz = 14%
Now we can find the number of students for each category.
Number of students who prefer rock = 13/100 * 400 = 52
Number of students who prefer hip hop = 0.25 * 400 = 100
Number of students who prefer pop = 0.35 * 400 = 140
Number of students who prefer classical = 0.13 * 400 = 52
Number of students who prefer jazz = 0.14 * 400 = 56
We can now look at different options.
a) This is false as hip-hop is preferred by 100 students.
b) Together Pop and jazz are preferred by 140+56 = 196, which is not more than half (200) of students. So this is false.
c) This is true as classical is preferred by 52 students.
d) Together rock and hip hop are preferred by 52+100 = 152, which is not equal to 172. So this is false.
Therefore the correct conclusion from the given percentage of students of different categories is option(c).
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Answer: c
Step-by-step explanation:
I did the test and it’s right
3y - 2x = -9 y = -2x +
5 A system of linear equations is given by these equations:
On solving the provided question, we can say that the linear equation are 3y - 2x = -9 and y = -2x +5 => 3(-2x +5) - 2x = -9 => x = 3
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
the linear equation are
3y - 2x = -9 and y = -2x +5
3(-2x +5) - 2x = -9
-6x + 15 -2x = -9
-8x = -24
x = 3
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The Zoo-venir Stand sells zoo-related souvenirs.
Use the stem-and-leaf plot to answer 14 and 15.
14. Interpret the mean of the Zoo-venir Stand sales.
15. Interpret the range of the Zoo-venir Stand sales.
14. The mean of the Zoo-venir Stand sales is of 23.9, representing the quotient between the sum of all the amounts and the number of observations.
15. The range of the Zoo-venir Stand sales is of 30, representing the difference between the highest number and the lowest number.
How to calculate the mean and range?Considering the key format of the stem-and-leaf plot, the observations are given as follows:
12, 13, 13, 13, 14, 15, 15, 16, 17, 20, 21, 21, 22, 22, 23, 24, 25, 25, 25, 26, 27, 27, 28, 29, 29, 32, 34, 34, 37, 41, 42.
The mean is given by the sum of all observations divided by the number of observations, hence it's value is of: 23.9.
The range is the difference between the highest observation and the lowest observation, hence it is of:
42 - 12 = 30.
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The world population is 2000 was approximately 6.08 billion (6,080,000,000). The annual rate of increase is 1.26%.
a. What is the world population in 2010?
b. What is the population in 2023?
Answer:
6.89 billion for year 2010
7.15 billion for year 2023
Step-by-step explanation:
f(x) = [tex]a(1 + r) ^{x}[/tex]
f(x) = [tex]6.08(1+ .0126)^{10}[/tex]
f(x) = 6.89 Rounded to 2 places
f(x) = [tex]6.08(1+ .0126)^{13}[/tex]
f(x) = 7.15 Rounded to 2 places
pleas help me ill give you brainliest
Answer:
This is a Right Triangle because the last angle is 90 degrees.
50 3/5 ft subtract 48 1/3 =
The substraction of 50 3/5 ft and 48 1/3 can be expressed as34/15.
How can the substraction be determined?The concept that will be used here is substraction. One of the four operations used in mathematics, along with addition, multiplication, and division, is substraction. Removal of items from a collection is represented by the operation of subtraction. For instance, the adjacent image shows 5 2 peaches, which are 5 peaches with 2 peaches subtracted, for a total of 3 peaches.
50 3/5 ft - 48 1/3 =
this mixed numbers can be converted to fractions as
253/5 - 145/3
= 34/15
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I need help math asap algebra 2
Answer:
c = 8
Step-by-step explanation:
4x³ + cx² + x + 2 ÷ x + 2 = ...
first we divide
4x³ + cx² by x + 2
and that is by doing 4x³/x = 4x².
4x³ + cx² + x + 2 ÷ x + 2 = 4x² ...
now we need to find the remainder, as with regular number divisions :
4x² × (x + 2) = 4x³ + 8x²
which we need to subtract from the left side
4x³ + cx² + x + 2 ÷ x + 2 = 4x² ...
- 4x³ + 8x²
----------------
0 cx² - 8x²
now we pull down the next position (x) and divide that by x + 2
4x³ + cx² + x + 2 ÷ x + 2 = 4x² + 1
- 4x³ + 8x²
----------------
0 cx² - 8x² + x
and the same again, to find the remainder, we have to subtract 1×(x + 2) = x + 2 from the left side
4x³ + cx² + x + 2 ÷ x + 2 = 4x² ...
- 4x³ + 8x²
----------------
0 cx² - 8x² + x
- x + 2
-----------------------------
cx² - 8x² 0 0
the polynomial is divisible by x + 2, if the remainder is 0.
so,
cx² - 8x² = 0
cx² = 8x²
c = 8
Write the equation of a line that is perpendicular to y= 3/2x - 4 and goes through the points (2,-2)
Answer:
The equation of the line that is perpendicular to y= 3/2x - 4 and goes through the point (2,-2) is y = -2/3x + 4.
Step-by-step explanation:
If you toss 9 fair coins, in how many ways can you obtain at least two tails?
("At least two" is the complement of "zero or one.")
There are different ways of obtaining at least two tails.
(Type a whole number.)
There is 1 way to obtain at least two tails when you toss 9 fair coins.
What is the probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
If you toss 9 fair coins, there are 2⁹ = 512 possible outcomes.
The number of ways to obtain zero or one tail is equal to the number of ways to obtain all heads or one head and the rest of tails, which is 2⁹ - 1 = 511.
Therefore, the number of ways to obtain at least two tails is the complement of the number of ways to obtain zero or one tail, which is 512 - 511 = 1.
Therefore, there is 1 way to obtain at least two tails when you toss 9 fair coins.
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1.28/2.26 step by step explanation
Answer:
approximately 0.567088608.
Step-by-step explanation:
The division of 1.28 by 2.26 can be done as follows:
Divide the whole number part of the dividend (1) by the whole number part of the divisor (2): 1 ÷ 2 = 0 with a remainder of 1.Write the remainder (1) over the dividend, keeping the same decimals: 1.28 ÷ 2.26.Multiply the whole number part of the divisor (2) by the result of the division in step 1 (0) to get 0.Subtract this result (0) from the whole number part of the dividend (1) to get 1.Write the result of step 4 (1) as a decimal over the same number of decimals as the dividend: 1.Repeat steps 3 to 5 using this new number (1) as the dividend until you reach the desired precision.To get the final result, place the decimal point in the result according to the number of decimals in the dividend.SOMEONE PLEASE HELP ME I'M SO LOST
According to the diagram, angle JKL is
C. JKLHow to solve for angle JKLAdjacent angles are angles that share a common vertex and a common side, but do not overlap. In a trapezoid, adjacent angles can be any pair of angles that share a common vertex and a common side.
angle JKL and angle MKL are adjacent angels having same vertex at k
angle JKM = angle JKL angle MKL
94 = angle JKL + 47
angle JKL = 94 - 47
angle JKL = 47
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Solve the quadratic equation by the square root method and write the solutions in radical form. Simplify the solutions.
(3x+20)2=125
Answer:
Step-by-step explanation:
To solve the equation (3x + 20)^2 = 125 using the square root method, we start by taking the square root of both sides:
√[(3x + 20)^2] = √125
3x + 20 = ± 5
Next, we subtract 20 from both sides:
3x = -20 ± 5
Finally, we divide both sides by 3:
x = -8 or x = 3/3
So, the two solutions to the equation (3x + 20)^2 = 125 are x = -8 and x = 1. These solutions are in radical form and are already simplified.
Choose each correct coordinate for the vertices of ΔA'B'C'.
Answer:
Step-by-step explanation:
ΔABC transformed by 5/2 to A'B'C':
A' = -10, 15
B' = -15, 10
C' = 5, -5
