a. Organizing the transaction data in accounts under an accounting equation for each year is as follows.
Accounting Equation: Assets = Liabilities + Equity
Year 1:
Cash Accounts = Liabilities + Equity
Receivable
1) $31,130 $31,130 Service Revenue
2) $24,904 (24,904)
3) (311) (311) Bad Debts Expense
Bal. $24,904 $5,915 $30,819
Year 2:
Cash Accounts = Liabilities + Equity
Receivable
Bal. $24,904 $6,226 $30,819 Retained Earnings
1) (233) +233
2) $36,329 $36,329 Service Revenue
3) $32,151 (32,151)
4) (285) (285) Bad Debts Expense
Bal. $57,055 $9,808 $66,863
b. Determining the following amounts is as follows:
Year 1 Year 2
1. Net income $30,819 $36,044
2. Net cash flow from operating activities 24,904 32,151
3. Balance of accounts receivable at the end 6,226 10,171
4. Net realizable value of accounts receivable 5,915 9,808
Transaction Analysis:Year 1:
1) Accounts Receivable $31,130 Service Revenue $31,130
2) Cash $24,904 Accounts Receivable $24,904
3) Bad Debts Expense $311 Allowance for Uncollectible Accounts $311
Year 2:
1) Allowance for Uncollectible Accounts $233 Accounts Receivable $233
2) Accounts Receivable $36,329 Service Revenue $36,329
3) Cash $32,151 Accounts Receivable $32,151
4) Bad Debts Expense $285 Allowance for Uncollectible Accounts $285
Net income for Year 2 = $36,044 ($36,329 - $285)
Net cash flow from operating activities:Year 1:
Net income $30,819
Non-cash expense 311
Accts receivable (6,226)
Cash from operations $24,904
Year 2:
Net income $36,044
Non-cash expense 52 ($285 - $233)
Accts receivable (3,945)
Cash from operations $32,151
Year 1:
Accounts ReceivableAccount Titles Debit Credit
1) Service Revenue $31,130
2) Cash $24,904
Ending balance $6,226
Net Realizable Accounts Receivable = $5,915 ($6,226 - $311)
Year 2:
Accounts ReceivableAccount Titles Debit Credit
Beginning balance $6,226
1) Allowance for Uncollectibles $233
2) Service Revenue 36,329
3) Cash 32,151
Ending balance $10,171
Net Realizable Accounts Receivable = $9,808 ($10,171- $363)
Allowance for Uncollectible AccountsAccount Titles Debit Credit
Year 1:Bad Debts Expense $311
Year 2:Accounts Receivable $233
Bad Debts Expense 285
Balance $363
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Question Completion:Required a. Organize the transaction data in accounts under an accounting equation for each year.
b. Determine the following amounts:
1. Net income for years 1 and 2.
2. Net cash flow from operating activities for Years 1 and 2.
3. Balance of accounts receivable at the end of Years 1 and 2.
4. Net realizable value of accounts receivable at the end of years 1 and 2.
graph y=16-8x. .............
Answer: graph 'y=16-8x'
Step-by-step explanation:
First, alter the equation by making it a 'y=...' statement (y=-8x+16).
Secondly, plot your first point at positive 16.
Third, make sure that your slope is going down 8 from positive 16, so you plot your second point at positive 8, and move that second point to the right by 1.
Let me know if this helps!
14 less than the product of two and number 16
Answer:
18
Step-by-step explanation:
(2 x 16) - 14 = 32 - 14 = 18
Katrina practices violin 4 times per week for 2/3 hour each time.Jeremy practices guitar for 3 times per week for 45 minutes each time.who practices more each week?how much more?
Katrina practices violin per week more than Jeremy by 25 minutes.
How is the practice time determined?The practice time can be determined by converting the fractional hours to minutes for each practice so that like is compared to like.
Converting 2/3 hours gives 40 minutes.
Ordinarily, Jeremy spends more time each time than Katrina. However, Katrina adds an additional practice time, which heightens her total practice time each week.
Data and Calculations:The number of times that Katrina practices per week = 4 times
The time she practices each time = 2/3 hours or 40 minutes (2/3 x 60)
The total time she practices each week = 160 minutes (40 x 4)
The number of times that Jeremy practices per week = 3 times
The time he practices each time = 45 minutes or 3/4 hours
The total time he practices each week = 135 minutes (45 x 3)
The difference in practice time per week = 25 minutes (160 - 135)
Katrina Jeremy
Number of practices times 4 3
Minutes practiced (2/3 hours) 40 min 45 minutes
Total practice time 160 min 135 min
Thus, we can conclude that Katrina practices violin per week more than Jeremy by 25 minutes.
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What two "rules" govern sets, and what do they imply about the nature of sets?
Two of some of the rules that govern set are:
Universality: This implies all the elements in the setintersection: This means similar elements between sets comparedWhat is universal set?The term universal set is used in set to refer to all the elements in the set that is determined, This means that any other set has their elements in the universal set, hence other sets are members of the universal set. The universal set is the set from which other sets are generated from.
What is intersect in set?Intersect as used in set refers to elements that can be seen in two or more sets that are being compared. If two sets has no intersection, then then do not have elements alike,
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factorizar por el método de diferencia de cuadrado.
Answer:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "q2" was replaced by "q^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(9 • (p2)) - (23•5q2)
STEP
2
:
Equation at the end of step
2
:
32p2 - (23•5q2)
STEP
3
:
Trying to factor as a Difference of Squares:
3.1 Factoring: 9p2-40q2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : 40 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares.
Which point is a reflection of Z (5 1/2, 3) across the x-axis
The reflection of Z (5 1/2, 3) across the x-axis is (5 1/2, -3).
Here,
The given point is Z (5 1/2, 3).
We have to find the point of reflection of Z (5 1/2, 3) across the x-axis.
What is Reflection across x-axis?
A point after reflection across the x-axis, the x- coordinate remains the same but y - coordinate is taken to be the additive inverse.
Now,
Since, The given point Z (5 1/2, 3) is lie on first coordinate.
Hence, The reflection of the point Z (5 1/2, 3) is lie on the third coordinate.
And, In the third coordinate the x-coordinate is positive and y-coordinate is negative.
Since, The rule of the reflection across x- axis is,
(x, y) → (x, -y)
So, The reflection of the point Z (5 1/2, 3) across the x - axis = (5 1/2, -3)
Therefore, The reflection of Z (5 1/2, 3) across the x-axis is (5 1/2, -3).
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If m angle A=5x +29 then what is the smallest integer value of x for which angle A would be classified as obtuse
The smallest integer value of x for which angle A would be classified as obtuse is 14°
What is an obtuse angle?An obtuse angle can be defined as an angle that is greater than 90 degrees.
This can be expressed as;
Obtuse angle > x > 90°
Given the angle as A = 5x +29
Let's assume that the value of the obtuse angle is 99 which is greater than 90 degrees.
Now, we have to equate the expression for angle A to 91 degrees.
We have;
5x + 29 = 99
collect like terms
5x = 99 - 29
subtract like terms
5x = 70
To make 'x' the subject, divide both sides by the coefficient of x
5x/5 = 70/5
x = 14°
Thus, the smallest integer value of x for which angle A would be classified as obtuse is 14°
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Pls Helppp need it now
Answer:
down one over two( point on -8 then down one over two
Step-by-step explanation:
this might be the right answer please let me know
3. Bryan spent $13.00 of the $25.00 he got for his birthday. What decimal represents the fraction of birthday money Bryan spent?
===================================================
Explanation:
Use your calculator to type in either 13/52 or 13 ÷ 52
The calculator should display 0.52 as the answer. The decimal 0.52 converts to 52%
The steps for the long division are shown below.
Determine the percent change in the price of an item that was selling for $230.00 last
year, and is being sold for $184.00 this year.
in Zoe's class, 4/5 of the students have pets. Of the students who have pets, 5/8 have rodents. what fraction of the students in Zoe's class have pets that are rodents?
Answer:
1/2
Step-by-step explanation:
5/8 students of the 4/5 students have rodents. The word "of" tells us to multiply. 5/8 * 4/5 is equal to 5*4/8*5, which is 20/40 and therefore simplifies to 1/2.
PLEASE PLEASE HELP!
Movies.
Your parents drop you off at the movies and you have $40 to spend. Admission to the movies costs you $14.50 and you buy a drink and popcorn for $7.75. You want to play a video game that costs $0.75.
1. Write a verbal inequality model that represents this situation.
2. Write an algebraic inequality model that represents this situation.
3. Show all work to solve the inequality.
4. Graph the inequality.
5. Describe the possible numbers of times you can play the same video game.
Answer:
3
Step-by-step explanation:
and the answer is 17
Answer:
1. The total cost of movie and the total cost of refreshments purchased and the total cost of video games played cannot exceed 40
2. 14.50 + 7.75x + 0.75y ≤ 40
3. y ≤ 34 - 10.333x
4. See attached graph
5.
one refreshment means you can play 23 times
two refreshments means you can play 13 times
three refreshments means you can play 3 times
Step-by-step explanation
We have to assume that you can see one movie but but buy multiple refreshments and play multiple video games. A refreshment is considered to be one drink and one popcorn.
If not we have a situation where we have three unknowns and it will be difficult to solve in a 2D context
1. Verbal inequality model
The total cost of one movie and the total cost of refreshments purchased and the total cost of video games played cannot exceed 40
2. Algebraic Inequality Model
Since the cost of a movie is 14.50 and you are seeing only 1 movie, the cost is 14.50(1) = 14.50
Assume you are going to buy x refreshments. Total cost of refreshments = 7.75x
Assume you are going to play y video games. Total cost of video games played = 0.75y
This cannot be greater than 40 i.e ≤ 40
So the algebraic inequality is
14.50 + 7.75x + 0.75y ≤ 40
3. Solving the inequality
Subtracting 14.50 from both sides we get
7.75x + 0.75y ≤ 25.50
Subtracting 14.50 from both sides we get
7.75x + 0.75y ≤ 25.50
Subtract 7.75x from both sides:
0.75y ≤ 25.50- 7.75x
Divide both sides by 0.75
y ≤ 25.50/0.75 - 7.75x/0.75
which is
y ≤ 34 - 10.333x
3. Graph of Inequality
This is an inequality in 2 variables and can be graphed.
See attached graph. The shaded portion represents the inequality
y ≤ 34 - 10.333x
Note that since neither x nor y can be < 0, we should not consider any portion of the shaded area which would mean two more constraints x ≥ 0 and y ≥ 0 but in this case I have stuck to only the above one inequality
5. Possible number of times you can play the same video game
Again we consider only 1 movie and multiple refreshments and video games
Using the inequality y ≤ 34 - 10.33x
If x = 1 refreshment,
y ≤ 34 - 10.33 x 1
y ≤ 23.67 or max 23 times you can play the video game max
If x = 2,
y ≤ 34 - 10.33 x 2
y ≤ 13.34 or maximum 13 times
If x = 3
y ≤ 34 - 30.99
y ≤ 3.01 or maximum 3 times
A ball is thrown from a height of 205 feet with an initial downward velocity of 11 ft/s. The ball's height h (in feet) after 1 seconds is given by the following.
h=205-111-161²
How long after the ball is thrown does it hit the ground?
By free fall motion, the ball will take a time of 3.252 seconds to hit the ground.
How much time does a ball take to hit the ground?
The ball experiments a free fall motion, that is an uniform accelerated motion due to gravity, in which effects from Earth's rotation and air viscosity are neglected. The height of the ball (h), in feet, is modelled by a quadratic equation:
h = 205 - 11 · t - 16 · t²
Where t is the time, in seconds.
If we know that h = 0 ft, then the time needed for the ball to hit the ground is:
205 - 11 · t - 16 · t² = 0
16 · t² + 11 · t - 205 = 0
16 · [t² + (11 / 16) · t - 205 / 16] = 0
16 · (t - 3.252) · (t + 3.940) = 0
For time is a whole number, only the first root offers a reasonable answer.
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Help me on this question please.
Answer:
67.5
Step-by-step explanation:
Hope this Helps! Be sure to study this so you get it you really just need to subract!
At lunch, Noah buys two tacos for $2.35 each, chips and salsa for $1.85, and lemonade for $1.60. To pay for his meal, he uses $5.00 from a gift card he has, and then he pays for the rest with a $20.00 bill. Which equations show how much change Noah receives? Explain you answer I will mark you as the brainlyest
2.35(2)+1.85+1.60= $8.15 total before gift card
8.15-5.00= $3.15 because the gift card was $5
now you do
20.00-3.15 to get the total change which is $16.85
Thanks hope you see this susususususususususuusususususuusususus
TASK CARD 17
Half of a number increased by six is
15. What is the number?
The number is 18
Let x be the number
Half of a number = x/2
Half of a number is increased by 6 = x/2 + 6
Half of a number increased by 6 is 15 = x/2 + 6 = 15
Algebra: The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division.
Solving the equation we get:
= (x + 12)/2 = 15
= x + 12 = 30
x = 18
Hence, the number is 18
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What is the decimal form of the given fraction 48/100
Answer:
0,48
Step-by-step explanation:
whenever we convert a fraction to a decimal, it is easier to convert the denominator to a power of 10 and then move the comma the amt of zeros left of the number
If Rachel were to paint her living room alone, it would take 2 hours. Her sister Fran could do the job in 5 hours. How many hours would it take them working together?
Express your answer as a fraction reduced to lowest terms, if needed.
Rachel and her sister Fran together can paint the living room in [tex]\frac{10}{7}[/tex] hours
Given that
Rachel can paint half of the living room in 1 hour
Fran can paint [tex]\frac{1}{5}[/tex]th part of the living room in 1 hour
Let's assume together they paint the living room in x hours
⇒ together they can paint [tex]\frac{1}{x}[/tex]th part of the living room in 1 hour
By proportions,
⇒[tex]\frac{1}{2}[/tex]+[tex]\frac{1}{5}[/tex]= [tex]\frac{1}{x}[/tex] {using operation proportions and addition}
⇒[tex]\frac{7}{10}[/tex]=[tex]\frac{1}{x}[/tex]
⇒x=[tex]\frac{10}{7}[/tex]
⇒ together they can paint [tex]\frac{7}{10}[/tex]th part of the living room in 1 hour
It means, Rachel and her sister Fran together can paint the living room in [tex]\frac{10}{7}[/tex] hours
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given f(x)=3(4-x) what is the value of f(-2)
Does the given matrix, A, have an inverse? If it does, what is A-¹? (1 point)
The inverse of a matrix A is A^-1. And I, the identity matrix, is equal to A.A^-1.
The square matrix needs to be non-singular and have a non-zero determinant value in order to get the inverse matrix. Let's think about the 2 x 2 square matrix A.
Inverse of matrix:
A^(-1)=Adj A/|A|
A-1 stands for Inverse of Matrix for matrix A. There is a straightforward formula for calculating the inverse of a 2 × 2 matrix. In order to find the inverse of a matrix of order 3 or higher, we also need to be aware of the matrix's determinant and adjoint. When multiplied by the provided matrix, the other matrix that serves as the inverse of that matrix yields the multiplicative identity.
There are two ways to find a matrix's inverse. Through the use of an adjoint of a matrix and simple processes, it is possible to derive the inverse of a matrix. Row or column transformations can be used to carry out the basic operations on a matrix. Additionally, the adjoint and determinant of the matrix can be used to apply the inverse of matrix formula in order to get the inverse of a matrix.
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If a company decides to hire more employees, then its
a. total variable cost and total cost will increase, but its total fixed cost will not change.
b. total fixed cost will increase, its total variable cost will decrease, and thus its total cost will not change.
c. total cost will increase, and its total fixed cost and total variable cost will decrease.
d. total cost will increase and total fixed cost will decrease, thus its total variable cost will not change.
If a company decides to hire more employees, then its:(a).total variable cost and total cost will increase, but its total fixed cost will not change
What is the behavior of fixed and variable costs?
The fixed cost remains the same over a reasonable range of output whereas the variable cost is the cost that increases as output increases, such as the cost of raw materials, the more output produced, more materials would be needed.
In short, the variable increase would make the total cost, the sum of fixed cost and variable cost, to increase, so hiring more employees, would increase variable cost and total cost only.
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(2,-1)(-3,3) standard form
tbh only answer if you are the user "beinggreat78" I dont trust the rest of yall
Answer:
hi ik you dont trust me however id like to say that the answer is A. 41.6
Step-by-step explanation:
hope this helps <3 (also i put this into a calculator to double check my work and it was still 41.6)
Answer:
41.6
Step-by-step explanation:
Move the decimal 1 place to the right according to the laws of exponents.
since the exponent is 1, that's why we move it 1 place right. if the exponent was -1, it would go to the left, and the number would become "0.416".
WHats this-2 1/6+(-2/3)
its 150/230, again the answer is -709/216
again the answer is -377/008. alright hope I helped you out with your question you have stated.
A spaceship has a mass of 9000kg. The spaceship is launched from Earth and lands on a distant planet, where it has a gravity of 25 m/s2. What is the weight?
The weight of the spaceship that has a mass of 9000kg is 22936kg.
How to illustrate the information?It should be noted that the mass in a body simply means the measure of the quantity if the matter that the body has.
It should be noted that it is also the body of the inertia.
In this case, the spaceship has a mass of 9000kg. The spaceship is launched from Earth and lands on a distant planet, where it has a gravity of 25 m/s². Therefore, the weight will be:
= 9000 /9.81 × 25
= 22936kg
Therefore, the weight of the spaceship that has a mass of 9000kg is 22936kg.
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Bob Ross bought a Blackberry on the Web for $90.49. He saw the same Blackberry in the mall for $120.21. How much did Bob save by buying on the Web?
Note: Round your answer to the nearest cent.
Answer:
$29.72
Step-by-step explanation:
$120.21-$90.49=$29.72
At the city museum, child admission is $5.50 and adult admission is $9.60. On Saturday, four times as many adult tickets as child tickets were sold, for a total
sales of $1141.40. How many child tickets were sold that day?
Number of child tickets:0
5
The number of child tickets sold that day were 26.
Here, we are given that the fees for admission into the museum is as follows-
Child admission = $5.50
Adult admission = $9.60
Let the number of children admitted on Saturday be x
then the number of adults admitted that day = 4x
Now, the total money from sale of children tickets = $5.50x
the total money from sale of adult tickets = $9.6 × 4x = $38.4x
The total money from sale of tickets = $1141.40
⇒ 5.50x + 38.4x = 1141.40
43.9x = 1141.40
x = 1141.40/ 43.9
x = 26
Thus, the number of child tickets sold that day were 26.
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Find the slope-intercept form of the line with a slope of 2 and through (1,−7)
Answer:
y = 2x -9
Step-by-step explanation:
Residents of city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 2. If there were 1748 no votes, what was the total number of votes
Find the slope-intercept form of the line that is perpendicular to −2x+6y=−1 and passes through the point (−2,4)
The equation of line that is perpendicular to the given equation and passes through the given point is y = -3x - 2.
Given the equation of line and point;
−2x + 6y = −1(-2,4)First, find the slope intercept form ( y = mx + b )of the given equation to determine the slope.
−2x + 6y = −1
Solve for y
6y = 2x - 1
y = (2/6)x - 1/6
y = (1/3)x - 1/6
Hence, the slope m = 1/3
Now, the equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.
Slope of the perpendicular will be;
m_perpendicular = -3
Next, find the equation of the perpendicular line using the point slope formula y - y₁ = m( x - x₁ ).
Plug in the slope m = -3 and the point (-2,4).
y - y₁ = m( x - x₁ )
y - 4 = -3( x - (-2) )
y - 4 = -3( x + 2 )
y - 4 = -3x - 6
y = -3x - 6 + 4
y = -3x - 2
Therefore, the equation of line that is perpendicular to the given equation and passes through the given point is y = -3x - 2.
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