The trial balance provides a summary of Boilermaker House Painting Company's financial transactions for the month of September. The company engaged in several activities during the month, including providing painting services, purchasing equipment and office supplies, paying salaries, renting office space, and receiving cash from customers.
In the first transaction, the company painted houses for customers in the current month, generating service revenue of $16,000 on account. This resulted in an increase in the Accounts Receivable balance, representing the amount owed by customers.
The second transaction involved the purchase of painting equipment for $17,000 in cash. This expenditure was recorded as an increase in the Equipment account, which reflects the company's tangible assets.
Next, the company purchased office supplies on account for $2,700. This transaction increased the Supplies account and created an obligation in the form of an Accounts Payable.
The fourth transaction involved paying employee salaries of $3,400 for the current month. This expense was recorded in the Salaries Expense account, which represents the cost of labor incurred by the company.
In the fifth transaction, the company spent $1,100 in cash to purchase advertising, which was intended to appear in the current month. This expense was recorded in the Advertising Expense account.
The sixth transaction involved paying office rent of $4,600 for the current month. This expense was recorded in the Rent Expense account, representing the cost of utilizing office space.
In the seventh transaction, the company received $11,000 in cash from customers who had previously been billed for the painting services provided. This increased the Cash balance, reflecting the inflow of funds.
Lastly, the company received $5,200 in advance cash from a customer who planned to have their house painted in the following month. This created a liability in the form of Deferred Revenue, as the company had not yet provided the corresponding service.
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an object is moving at a speed of 4 yards every 6.5 days. express this speed in centimeters per minute. round your answer to the nearest hundredth
Answer:
0.0390cm/minStep-by-step explanation:
We are expected to do a unit conversion here.
let us convert days to minutes first
6.5days to minutes
1 day has 1440miuntes
6.5 days has x minute
cross multiply we have
x=6.5x1440
x=9360minute
let us convert yards to cm
1 yard to 91.44 cm
4 yards has xcm
cross multiply we have
x=4x91.44
x=365.76cm
the speed in cm per mins is
speed=365.76/9360m
speed=0.0390cm/min
Answer: 0.04
Step-by-step explanation:
michael has a very large soup pot shape like a cylinder that has height of 15 inches and a radius of 6 inches
Answer:
1695.6 in³Step-by-step explanation:
Cylinder volume formula: V= πr²h
Given
h = 15 inr = 6 inVolume of soup pod
V = 3.14*6²*15 = 1695.6 in³Please Help ASAP!!!!!!!!
Answer:
B
Step-by-step explanation:
Because its just correct
Simplify without a fractional exponent
Answer: the answer in decimal form:76.36753236
Step-by-step explanation:
i had to do it
Simplify this expression.
(2+3)65-7
Answer:
Make me Brainliest
Step-by-step explanation:
=5*65-7
=325-7
=318
Factorise a^2/8 - b^2/18
Step-by-step explanation:
answer=((a/(2× sqrt 2))+(b/(3× sqrt)))((a/(2× sqrt 2))-(b/(3× sqrt 2)))
method-difference of two squares
Please answer 2 question
Answer:
x= 23
Step-by-step explanation:
180 minus 3 is 87
3 times 23
87
Which number line model represents the expression 3.5+(-5)
Answer:
D.
Step-by-step explanation:
.
What is the scale factor?
A 2/3
B 3/4
C 4/3
D 4/5
The scale factor is 3/4, so the correct option is B.
How to get the scale factor?To get the scale factor, we just need to take the quotient between the length of a side in the image, and the length of the correspondent side in the preimage.
Let's use the top sides for this, we can see that:
In the image: H'I' = 3 units.
In the preimage HI = 4 units.
Then the scale factor for this transformation is:
K = 3/4
The correct option is B.
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Solve for r
5/12 · r = 10/11
Write your answer as a fraction or as a whole or mixed number.
r = ___
Answer:
r = 2 2/11
Step-by-step explanation:
5/12 · r = 10/11
Multiply each side by 12/5 to isolate r
(12/5) *5/12 · r = 10/11* 12/5
r = 12/11 * 10/5
r = 12/11*2
r = 24/11
r = 2 2/11
Answer:
11/24
Step-by-step explanation:
Multiply both sides of this equation by 12/5 to isolate r:
(5/12)(12/5)
r = ------------------ = 55/120
(12/5)(10/11)
r = 55/120 = 11/24
A normal distribution has μ = 30 and Ï = 5.
(a) Find the z score corresponding to x = 25.
(b) Find the z score corresponding to x = 42.
(c) Find the raw score corresponding to z = â3.
(d) Find the raw score corresponding to z = 1.5.
(a) The z-score corresponding to x = 25 is -1. (b)The z-score corresponding to x = 42 is 2.4.(c) The raw score corresponding to z = -3 is 15. (d) The raw score corresponding to z = 1.5 is 37.5.
For a normal distribution with mean μ = 30 and standard deviation σ = 5:
(a) To find the z-score corresponding to x = 25, we use the formula:
z = (x - μ) / σ
Substituting the values, we get:
z = (25 - 30) / 5 = -1
Therefore, the z-score corresponding to x = 25 is -1.
(b) To find the z-score corresponding to x = 42, we again use the formula:
z = (x - μ) / σ
Substituting the values, we get:
z = (42 - 30) / 5 = 2.4
Therefore, the z-score corresponding to x = 42 is 2.4.
(c) To find the raw score (x) corresponding to z = -3, we use the formula:
z = (x - μ) / σ
Rearranging the formula, we get:
x = μ + zσ
Substituting the values, we get:
x = 30 + (-3) x 5 = 15
Therefore, the raw score corresponding to z = -3 is 15.
(d) To find the raw score (x) corresponding to z = 1.5, we use the same formula:
x = μ + zσ
Substituting the values, we get:
x = 30 + 1.5 x 5 = 37.5
Therefore, the raw score corresponding to z = 1.5 is 37.5.
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by the following function. C(x)=12.00+0.08x What is the total cost for an order of 20 copt
The total cost of producing 20 copies is $13.60.
The given function C(x) = 12.00 + 0.08x represents the total cost of producing x copies, which consists of a fixed cost of $12.00 and a variable cost of $0.08 per copy. This is an example of a linear cost function, where the total cost increases linearly with the number of units produced.
To find the total cost for an order of 20 copies, we substitute x = 20 into the formula:
C(20) = 12.00 + 0.08(20)
= 12.00 + 1.60
= $13.60
Therefore, the total cost of producing 20 copies is $13.60. This means that if a business wants to produce 20 copies of a product, it would incur a total cost of $13.60, which includes both fixed and variable costs. The fixed cost of $12.00 is independent of the number of units produced, while the variable cost of $0.08 per copy is directly proportional to the number of units produced.
The concept of linear cost functions is important in business and economics because they provide a way to model and analyze the costs associated with producing goods or services. By understanding the behavior of these functions, businesses can make informed decisions about production levels, pricing strategies, and profit margins.
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Wes and Leslie create an ice rink by spraying water on an area that is 28 feet by 21 feet. The ice is 6 inches think. Estimate the volume of the ice in their rink.
please help i need this
Answer:
13
Step-by-step explanation:
because you have to divide 13 divide by 1 and eat equals 13 then if you spin it the posibility might be 13
Answer:
7/13
Step-by-step explanation:
Given;
A spinner has 13 equal sections.
Find;
The probability of landing on an odd number.
1. Information that one needs to know
To calculate the probability, one needs to have the number of favorable outcomes over the total number of outcomes.
2. Solving the problem
The favorable outcomes are the odd numbers, hence one needs to find the number of odd numbers between 1 and 13. There are 7 odd numbers between 1 and 13. The total number of outcomes is 13, hence the probability of landing on an odd number is 7/13.
An x-method chart shows the product a c at the top of x and b at the bottom of x. Below the chart is the expression a x squared + b x + c. What are the factors of x2 – 144? And
Answer:
\((x -12)(x + 12)\)
Step-by-step explanation:
Given
See attachment for chart
Required
The factors of \(x^2 - 144\)
First, express \(x^2 - 144\) as \(ax^2 + bx + c\)
So, we have:
\(x^2 - 144 = x^2 + 0x - 144\)
Compare the above expression to: \(ax^2 + bx + c\)
We have:
\(ax^2 + bx + c = x^2 + 0x - 144\)
So:
\(a =1\)
\(b =0\)
\(c = -144\)
and
\(a * c = d * e\)
Calculate ac
\(a* c = 1 * -144\)
\(a* c = -144\)
Rewrite as:
\(a* c = -12 * 12\)
Recall that:
\(a * c = d * e\)
Hence:
\(d = -12; e = 12\)
So, on the x chart, we have:
ac
d e
b
This gives:
-144
-12 12
0
The factors are
\((x + d)(x + e)\)
\((x -12)(x + 12)\)
Answer:
✔ (x – 12)
and
✔ (x + 12)
Step-by-step explanation:
Solve the inequality -3/5 < r -3/5 how to solve
Answer:
Step-by-step explanations:
Answer:
r > 0 should be your answer
0 , and that infinity symbol (i cant find it :/)
Please Help! What is the value of 3 x squared minus 5 x y + 5 y squared for x = negative 6 and y = 2? A)-68 B) -4 C) 188 D)208
Thanks
Answer:
c
Step-by-step explanation:
editors preparing a report on the economy are trying to estimate the percentage of businesses that plan to hire additional employees in the next 60 days. they are willing to accept a margin of error of ​% but want ​% confidence. how many randomly selected employers will they need to​ contact?
Rounding up, the editors will need to contact at least 385 randomly selected employers to estimate the percentage of businesses that plan to hire additional employees in the next 60 days with a margin of error of ​% and a confidence level of ​%.
To calculate the sample size, the editors can use the following formula:
n = (Z^2 * p * q) / E^2
where:
- n is the required sample size
- Z is the Z-score corresponding to the desired confidence level (for example, if the desired confidence level is 95%, the Z-score would be 1.96)
- p is the estimated proportion of businesses that plan to hire additional employees (this value is unknown and will be estimated based on past data or other sources)
- q is 1 - p
- E is the desired margin of error
Assuming the editors want a 95% confidence level and a margin of error of ​%, let's say they estimate that 50% of businesses plan to hire additional employees. Plugging these values into the formula, we get:
n = (1.96^2 * 0.5 * 0.5) / (0.05^2)
Simplifying, we get:
n = 384.16
They have a desired margin of error and a desired confidence level, and you need to determine the number of randomly selected employers they must contact.
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i need help on all of this please
Answer:
Step-by-step explanation: the answer is 69-123
Write the equation in Standard Form.
y=3/2x - 6
Answer:
3x - 2y = 12
Step-by-step explanation:
3x-2y=12 is the standard form of equation y=3/2x - 6
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The equation is y=3/2x - 6
y equal to three by two times of x minus six
y=3/2x - 6
LCM of 1 and 2 is 2
y=(3x-12)/2
Now apply cross multiplication
2y=3x-12
Two times of y equal to three times of x minus twelve
Now take 2y to RHS side
3x-2y-12=0
3x-2y=12
Hence 3x-2y=12 is the standard Form of equation y=3/2x - 6.
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1) What are the values of a and b for each equation? Why does this represent exponential growth?
comparing with:
\(y=ab^x\)Then a = 1 and b=3
To find the y-intercept, substitute x=0
\(y=3^0=1\)The y-intercept is 1
\(y=-3^x\)Comparing with
\(y=ab^x\)The value of a =-1 and the value of b is 3
To find the y-intercept, substitute x=0 into the equation
y=-1
The y-intercept is -1
The table shows the result of spinning a color spinner (purple, blue, white and green) in two different experiments. Using the results in the table, what is the probability of a spinner landing on blue (B) in Experiment A
Based on the table provided, Experiment A shows that the spinner landed on blue (B) once out of the four possible outcomes. Therefore, the probability of the spinner landing on blue in Experiment A is 1/4 or 0.25.
It is important to note that probability is calculated by dividing the number of desired outcomes by the total number of possible outcomes. In this case, there are four possible outcomes (purple, blue, white, and green) and only one of them is blue, hence the probability of the spinner landing on blue is 1/4 or 0.25.
Based on the table you provided, we can determine the probability of the spinner landing on blue (B) in Experiment A. First, we need to find the total number of spins in Experiment A. Next, count the number of times the spinner landed on blue (B) in the same experiment. To calculate the probability, divide the number of blue (B) landings by the total number of spins.
This fraction will represent the probability of the spinner landing on blue (B) in Experiment A. Remember, probability values range from 0 to 1, with 0 meaning impossible and 1 meaning certain.
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Hannah needs to calculate the cotangent of an angle. She uses the ratio
opposite leg
for her calculation. Did Hannah correctly calculate the cotangent of the angle?
adjacent leg
A
B.
Yes, Hannah correctly calculated the cotangent of the angle.
adjacent leg
No, Hannah should have used the ratio
opposite leg
hypotenuse
No, Hannah should have used the ratio
opposite leg
O c.
D.
No, Hannah should have used the ratio
adjacent leg
hypotenuse
Answer:
B. No, Hannah should have used the ratio \( \frac{adjacent}{opposite} \)
Step-by-step explanation:
✍️The formula for calculating cotangent of an angle is given as:
\( cot = \frac{adjacent}{opposite} \).
The ratio, \( \frac{opposite}{adjacent} \), used by Hannah is the formula for calculating tangent of an angle.
Therefore, Hannah did not calculate the cotangent of the angle correctly.
She should have used, the ratio, \( \frac{adjacent}{opposite} \) instead.
the ratio of peas Julia had to a number of peas Vlada had was 3:2 after Julia gave 15 peas, she still has 10 more peas than Vlada. How many peas did Julia have at first?
Answer:
Julia had 120 peas to start .
Answer:
120 peas
Step-by-step explanation:
Before Julia gave Vlada 15 peas, the ratio of their numbers was 3:2. Afterward, Julia still had 10 more peas. You want to know the number Julia started with.
SolutionLet j represent the initial number of peas Julia had. Then Vlada had 2/3j peas. After the transfer, the difference was ...
(j -15) -(2/3j +15) = 10
1/3j -30 = 10
1/3j = 40
j = 120
Julia had 120 peas at first.
__
Additional comment
The transfer of peas decreases the difference by 30, so if it remains 10 it must have originally been 40. The difference in initial ratio units is 3-2 = 1, so Julia's initial 3 ratio units represent 3·40 = 120 peas.
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it takes jesse four times as long to edit a chapter in a book as it takes curtis. if it takes curtis t hr to edit the chapter, at what rate does jesse do the job? write your answer as a single fraction in exact simplest form.
The rate at which Jesse did the job is 1/4t chapter/hour
What is rate?A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.
It takes Jesse four times as long as Curtis to edit a chapter
if takes Curtis t hrs, then,
it will take Jesse 4t hours
therefore the rate of Jesse = 1 chapter/4t hours
= 1/4t chapter/hour
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Evaluate each function at the given value using the remainder theorem.
F(x)=x^4+5x^3-18x+1 at x=-4
Please show work , I give brainliest. :)
Answer:
9
Step-by-step explanation:
\(f(x) = x^4 +5x^3 -18x +1\\\\f(-4) = (-4)^4 +5(-4)^3 -18(-4) +1\\\\~~~~~~~~~=256+5(-64)+72+1\\\\~~~~~~~~~=329-320\\\\~~~~~~~~~=9\)
the second derivative of the function f is given by f′′(x)=x2cos(x2 2x6). at what values of x in the interval (−4,3) does the graph of f have a point of inflection?
to determine the values of x where the graph of f has points of inflection in the interval (-4, 3), further analysis or numerical methods are required.
To find the points of inflection of the function f(x) using its second derivative, we need to look for values of x where the second derivative changes sign. In other words, we need to find the values of x where f''(x) = 0 or where f''(x) does not exist.
Given the second derivative f''(x) = x^2*cos(x^2 - 2x - 6), we need to find where this expression equals zero or where it is undefined.
Setting f''(x) equal to zero:
x^2*cos(x^2 - 2x - 6) = 0
Since x^2 cannot be zero, we only need to consider where cos(x^2 - 2x - 6) equals zero:
cos(x^2 - 2x - 6) = 0
Now, to find the values of x where the cosine function equals zero, we can solve for x:
x^2 - 2x - 6 = (n + 1/2)*π, where n is an integer
Unfortunately, the equation x^2 - 2x - 6 = (n + 1/2)*π does not have a simple closed-form solution. We would need to use numerical methods, such as approximation or graphing, to find the specific values of x in the interval (-4, 3) where the graph of f has points of inflection.
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15\ +\ 2\ x\ +\ 7\ +\ 15\ +\ 2\ x\ +\ 715 + 2 x + 7 + 15 + 2 x + 7 Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Shawn’s garden.
An equivalent expression using exactly two terms to represent the perimeter of Shawn's garden is 4x(1) + 769.
What is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.
To find the perimeter of Shawn's garden, we need to add up the lengths of all the sides. We can simplify the given expression by combining like terms:
15 + 2x + 7 + 15 + 2x + 715 + 2x + 7 + 15 + 2x + 7
= 4x + 769
So the perimeter of Shawn's garden can be expressed as 4x + 769 feet.
To write an equivalent expression using exactly two terms, we can factor out the common term 4x from the expression:
4x + 769 = 4x(1) + 769
So an equivalent expression using exactly two terms to represent the perimeter of Shawn's garden is 4x(1) + 769.
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Find the equation of Y+9=13
Answer:
Y = 4
Step-by-step explanation:
Y = 13 - 9Y = 4that's all