Answer:
6/8
Step-by-step explanation:
simplify and find the slope
Gabriel’s Graphics Company was organized on January 1, 2020, by Gabriel Medina. At the end of the first 6 months of operations, the trial balance contained the following accounts.
Analysis reveals the following additional data.
1. The $3,700 balance in Supplies Expense represents supplies purchased in January. At June 30, $1,300 of supplies are on hand.
2. The note payable was issued on February 1. It is a 6%, 6-month note.
3. The balance in Insurance Expense is the premium on a one-year policy, dated April 1, 2020.
4. Service revenues are credited to revenue when received. At June 30, services revenue of $1,300 are unearned.
5. Revenue for services performed but unrecorded at June 30 totals $2,000.
6. Depreciation is $2,250 per year.
Instructions
a. Journalize the adjusting entries at June 30. (Assume adjustments are recorded every 6 months.)
b. Prepare an adjusted trial balance.
c. Prepare an income statement and owner’s equity statement for the 6 months ended June 30 and a balance sheet at June 30.
Answer:
Gabriel's Graphics Company
a. Adjusting Journal Entries:
Debit Supplies Expense $2,400
Credit Supplies $2,400
To record supplies expenses for the period.
Debit Interest Expense $1,000
Credit Interest Payable $1,000
To record interest accrued.
Debit Insurance Expense $675
Credit Prepaid Insurance $675
To record insurance expense for the period.
Debit Services Revenue $1,300
Credit Unearned Services Revenue $1,300
To record unearned services revenue.
Debit Accounts Receivable $2,000
Credit Services Revenue $2,000
To record revenue for services performed but unrecorded.
Debit Depreciation Expense $1,125
Credit Accumulated Depreciation $1,125
To record depreciation expense.
b. Adjusted Trial Balance:
Account Titles Debit Credit
Cash $8,600
Accounts receivable 16,000
Equipment 45,000
Insurance Expense 675
Prepaid Insurance 2,025
Salaries & Wages Exp. 30,000
Supplies Expense 2,400
Supplies 1,300
Advertising expense 1,900
Rent expense 1,500
Utilities expense 1,700
Interest expense 1,000
Depreciation expense 1,125
Accumulated Depreciation $1,125
Notes Payable 20,000
Interest Payable 1,000
Accounts Payable 9,000
Owner's capital 22,000
Sales Revenue 52,100
Services Revenue 6,700
Unearned Services Revenue 1,300
Totals $113,225 $113,225
c. Income Statement for the six months ended June 30:
Sales Revenue $52,100
Services Revenue 6,700
Total Revenue $58,800
Insurance Expense 675
Salaries & Wages Exp. 30,000
Supplies Expense 2,400
Advertising expense 1,900
Rent expense 1,500
Utilities expense 1,700
Interest expense 1,000
Depreciation expense 1,125 40,300
Net Income $18,500
Owner's Equity Statement for the six months ended June 30:
Owner's Capital $22,000
Net Income 18,500
Equity Balance $40,500
Balance Sheet at June 30:
Assets:
Cash $8,600
Accounts Receivable 16,000
Supplies 1,300
Prepaid Insurance 2,025
Equipment 45,000
Less Acc. dep. 1,125 43,875
Total assets $71,800
Liabilities + Equity:
Notes Payable $20,000
Interest Payable 1,000
Accounts Payable 9,000
Unearned Revenue 1,300
Owner's equity 40,500
Total Liab. + Equity $71,800
Step-by-step explanation:
a) Data and Calculations:
1. Supplies Expense = $2,400 ($3,700 - 1,300)
Supplies balance = $1,300
2. Interest Expense on Note Payable = $1,000 ($20,000 * 6% * 5/6)
3.Insurance Expense: $675 ($2,700 * 3/12)
Prepaid Insurance = $2,025 ($2,700 - 674)
4. Unearned Services Revenue = $1,300
5. Earned Services Revenue = $6,700 ($6,000 - 1,300 + 2,000)
6. Depreciation = $1,125 ($2,250/2)
Accounts Receivable:
As per unadjusted trial balance $14,000
Services Revenue 2,000
As per adjusted trial balance $16,000
Find the slope, y-intercept, and the equation.
Step-by-step explanation:
hope this helps, merry Christmas
9514 1404 393
Answer:
slope: 3y-intercept: 10equation: y = 3x +10Step-by-step explanation:
The two-point form of the equation of a line can be used.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
For the two points, we choose to use ones near (0, 0):
(x1, y1) = (-8, -14) and (x2, y2) = (14, 52)
Then our equation is ...
y = (52 -(-14))/(14 -(-8))(x -(-8)) -14
y = 66/22(x +8) -14
y = 3x +24 -14
y = 3x +10 . . . . . the equation
The slope is the coefficient of x: 3.
The y-intercept is the added constant: 10, or coordinates (0, 10).
john can decorate 3 christmas trees in 2 hours so how long will it take to decorate 12 christmas trees?
Answer:
8 hours
Step-by-step explanation:
3×4 is 12 so.. just take 4 and multiply by 4 as well
Answer:
8 hours
Step-by-step explanation:
[tex]Let\ the\ time\ taken\ by\ John\ to\ decorate\ 12\ Christmas\ Trees\ be\ x\\Hence,\\Through\ the\ ratio\ method\ (Of\ multiplying\ the\ means\ and\ the\ extremes;\\3:2::12:x\\3x=24\\x=8[/tex]
. An object is launched straight up into the air. It is launched from a height
of H feet off the ground. Its height H, in feet, at t seconds is given by the
equation H = -8t^2 + 40t + 18. Find all times t that the object is at a height
of 50 feet off the ground.
Answer:
H=24
Step-by-step explanation:
Plz help ASAP !!!!!!!!!!!!!!!!!!
Answer:
C. [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Change 1/3 to 2/6. Subtract 5/6 - 2/6 to get 3/6. 3/6 simplified, is 1/2.
Hope it helps!
In 1965, about 44% of the U.S. adult population had never smoked cigarettes. A national health survey of 1472 U.S. adults (presumably selected randomly) during 2010 revealed that 677 had never smoked cigarettes.Suppose you wished to test whether there has been a change since 1965 in the proportion of U.S. adults that have never smoked cigarettes. You suspect that the proportion has grown since 1965. Which of the following are the appropriate hypotheses?A. H0: p = 0.44, Ha: p > 0.44B. H0: p = 0.51, Ha: p In 1965, about 44% of the U.S. adult population ha 0.51C. H0: p = 0.44, Ha: p In 1965, about 44% of the U.S. adult population ha 0.44D. H0: In 1965, about 44% of the U.S. adult population ha = 0.44, Ha: In 1965, about 44% of the U.S. adult population haIn 1965, about 44% of the U.S. adult population ha 0.44
Answer:
H0: p = 0.44, Ha: p ≠ 0.44
Step-by-step explanation:
The following information is mentioned
44% of the US adult population would never smoked cigarettes so that means the proportion would be
= 44 ÷ 100
= 0.44
Now we have to check the test whether this change represent increase or decrease
So the hypothesis is
[tex]H_o: P=0.44[/tex]
[tex]H_1: P \neq 0.44[/tex]
The two tailed means
[tex]P < 0.44 \, \, or \, \, P> 0.44 )[/tex]
In order for Mateen to walk a kilometer(1000m) in his rectangular backyard, he must walk the length 25 times or walk its perimeter 10 times. What is the area of Mateen's backyard in square meters
Answer:
400
Step-by-step explanation:
25 times the length is 1000 m.
Let length = L
25L = 1000
L = 40
10 times the perimeter is 1000 m.
Let the perimeter = P
10P = 1000
P = 100
perimeter = 2L + 2W
2(40) + 2W = 100
80 + 2W = 100
2W = 20
W = 10
The length is 40 m, and the width is 10 m.
A = LW
A = 40 m * 10 m
A = 400 m^2
I need 20 characters to post this so ignore
Summary statistics are given for independent simple random samples from two populations. Use the nonpooled t-test to conduct the required hypothesis test. 1 = 75.1, s 1 = 4.5, n 1 = 11, 2 = 66.2, s 2 = 5.1, n 2 = 9 Perform a two-tailed hypothesis test using a significance level of α = 0.01.
Answer:
The decision rule is
Reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The first sample mean is [tex]\= x_1 = 75.1[/tex]
The first sample standard deviation is [tex]s_1 = 4.5[/tex]
The first sample size [tex]n_1 = 11[/tex]
The second sample mean is [tex]\= x_2 = 66.2[/tex]
The second sample standard deviation is [tex]s_2 = 5.1[/tex]
The second sample size is [tex]n_2 = 9[/tex]
The significance level is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 \ne \mu_2[/tex]
Generally the pooled standard deviation is mathematically represented as
[tex]s = \sqrt{ \frac{(n_ 1 - 1) s_1^2 + (n_2 - 1) s_2^2}{n_1 + n_2 -2 } }[/tex]
=> [tex]s = \sqrt{ \frac{(11 - 1) 4.5^2 + (9 - 1) 5.1^2}{11 + 9 -2 } }[/tex]
=> [tex]s = 4.78[/tex]
Generally the degree of freedom for the is mathematically represented as
[tex]df = [ \frac{[\frac{s_1^2 }{n_1} + \frac{s_2^2}{ n_2} ]^2}{[\frac{[\frac{s_1^2}{n_1} ]^2}{n_1 - 1 } ] + [\frac{[\frac{s_2^2}{n_2} ]^2}{n_2 -1} ]} ][/tex]
=> [tex]df = [ \frac{[\frac{4.5^2 }{11} + \frac{5.1^2}{9} ]^2}{[\frac{[\frac{4.5^2}{11} ]^2}{ 11 - 1 } ] + [\frac{[\frac{5.1^2}{9} ]^2}{9 -1} ]} ][/tex]
=> [tex]df = 16 [/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x_1 - \= x_2}{ \sqrt{\frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2} } }[/tex]
=> [tex]t = \frac{ 75.1 - 66.2 }{ \sqrt{\frac{ 4.5^2 }{ 11} + \frac{5.1^2}{ 9} } }[/tex]
=> [tex]t = 4.092[/tex]
Generally the student distribution table the probability of [tex]t = 4.092[/tex] to the right at a degree of freedom of [tex]df = 16 [/tex] is
[tex]P( T > 4.092 ) = 0.00042536[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(T > 4.092)[/tex]
=> [tex]p-value = 2 * 0.00042536[/tex]
=> [tex]p-value = 0.001[/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence we
The decision rule is
Reject the null hypothesis
An experiment consists of tossing an unfair coin (48% chance of landing on heads) a specified number of times and recording the outcomes.
a. What is the probability that the first head will occur on the second trial?
b. Does the probability change if we toss the coin three times? What if we toss the coin four times?
Answer:
a. [tex]Probability = 0.2496[/tex]
b. No, it won't change
Step-by-step explanation:
Represent [tex]the\ head[/tex] with H and [tex]Tail\ with[/tex] T
Such that:
[tex]P(H) = 48\%[/tex]
Solving (a): First head in second trial
First, we determine P(T) i.e. the probability of obtaining a tail
[tex]P(H)+P(T) = 100\%[/tex]
[tex]P(T) = 100\% -P(H)[/tex]
Substitute 48% for P(H)
[tex]P(T) = 100\% -48\%[/tex]
[tex]P(T) = 52\%[/tex]
If the first head is obtained in the second trial, the probability is:
[tex]Probability = P(T\ and\ H)[/tex]
[tex]Probability = P(T)\ and\ P(H)[/tex]
[tex]Probability = P(T)\ *\ P(H)[/tex]
[tex]Probability = 48\%* 52\%[/tex]
[tex]Probability = 0.2496[/tex]
Solving (b): Will it change if tossed three or four times?
Irrespective of the number of times the coin is tossed, the probability of obtaining a head in the second toss will always be the same because the coin has to be tossed twice before the third and the fourth time.
what is it like being dead and has anyone gone through it. ( I NEEED TO KNOW)
Answer: Being dead is like being in a dream you can’t wake up from. Your soul is the only you have while everything else is gone. You feel numb
Plsss help due In 5 minutes
Answer:
(2, -1)
Step-by-step explanation:
By definition, a vertex is a point where two or more curves, lines, or edges meet; just look at the graph to determine that point/relative extrema.
One positive integer is 8 more than twice another. If their product is 384, find the numbers.
Answer: The numbers are 32 and 12
Step-by-step explanation:
Let say those two positve integers are x and y.
x has to be 8 more than twice y , and that could be represent by the equation
x = 2y + 8
Their product is 384 meaning that x times y has to equal to 384 , and that can also be represented by the equation xy = 384
x = 2y + 8
xy = 384
Now using both equations, substitute the value for x into the second equation and solve for y.
(2y + 8)(y ) = 384
2y^2 + 8y = 384 Subtract 348 from both sides
-384 -384
2y^2 + 8y - 384 = 0 Factor the left sides by the GCF
2(y^2 + 4y - 192) = 0
x = -b ± [tex]\sqrt{b^2 -4ac } /2[/tex]
The variables a= 1 , b=4 and c is -192
x = -4 ± [tex]\sqrt{784} /2[/tex]
x = -4 + 14 or x = -4 - 14
x = 12 or x = -16
Since we are dealing with length the value of y has to be 12.
Now that we know that y is 12 input 12 into one of the equations and solve for x.
x = 2(12) + 8
x = 24 + 8
x = 32
Help me out in this question pleaseeeeeeeee
HELLLPPPP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!1
help meh please someone
Answer:
D, I think
Step-by-step explanation:
Jack is mixing a cleaning solution that is 15% bleach. After mixing the solution, Jack has 150 ounces of cleaning solution. How many ounces of bleach did Jack use?
Answer:
22.5 ounces
Step-by-step explanation:
150 times .15
Every day of the week Sam's Swim
Shop offers a different deal to its
loyal customers. If the total price
Tina paid was $66.00 and it
normally would cost $88.00, what
percent off was the daily deal?
Answer:
Step-by-step explanation:
1. Stop guys I need help!
3 1/2 -2 1/2
Step-by-step explanation:
3 1/2 = 7 /2
2 1/2 = 5 /2
7/2 - 5/2
= 2/2 = 1
hope it helpful
In which quadrant is (4,-9) located.
please find the value of Y, and then pug it into 3y+10
Answer:
Your answer would be C. TRUST ME!!!
Step-by-step explanation:
I NEED HELP!! please show all work
What is the exact solution to the equation?
4^(5x)=3^(x-2)
Take the logarithm of both sides. The base of the logarithm doesn't matter.
[tex]4^{5x} = 3^{x-2}[/tex]
[tex]\implies \log 4^{5x} = \log 3^{x-2}[/tex]
Drop the exponents:
[tex]\implies 5x \log 4 = (x-2) \log 3[/tex]
Expand the right side:
[tex]\implies 5x \log 4 = x \log 3 - 2 \log 3[/tex]
Move the terms containing x to the left side and factor out x :
[tex]\implies 5x \log 4 - x \log 3 = - 2 \log 3[/tex]
[tex]\implies x (5 \log 4 - \log 3) = - 2 \log 3[/tex]
Solve for x by dividing boths ides by 5 log(4) - log(3) :
[tex]\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}[/tex]
You can stop there, or continue simplifying the solution by using properties of logarithms:
[tex]\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }[/tex]
[tex]\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }[/tex]
[tex]\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}[/tex]
You can condense the solution further using the change-of-base identity,
[tex]\implies \boxed{x = -\log_{\frac{1024}3}9}[/tex]
Anyone know this ?????
Answer:
I think it would be letter C?
Step-by-step explanation:
Four mini boxes total would equal 1 in this case, so if there is one full box (4 mini boxes) that is one. Plus the extra colored box gives it the 1/3 at the end. I'm so sorry it's really hard to explain.
Consider the line y=8x-2 find the equation of the line that is parallel to this line and passes through the point (-5,2)
Answer:
the answer is y=8x+42
Step-by-step explanation:
y-y=m(x-x¹)
y-2=8(x-(-5))
y-2=8x+40
+2 +2
y=8x+42
please help! Due in 10 minutes, 7th grade math
Answer:
C.
Step-by-step explanation:
I predict these tingz
Answer:1/6y+1/6(y+12)-2
Step-by-step explanation:
A carpet store has 8 commercials every hour on a local television station. How many commercials will have in 525 hours?
Answer:
4,200 commercials
Step-by-step explanation:
525 times 8 equals 4,200
101 lies between.
Find two consecutive whole numbers that
Answer:
100
102
Step-by-step explanation:
Answer:
Overlap
Step-by-step explanation:
The owner of an Apple orchard wants to buy more trees the table below shows the cost for buying different numbers of trees. pls help me
Answer:
We conclude that the cost of 10 trees will be: $350
Step-by-step explanation:
From the table, it is clear that:
The cost of 6 trees = $210
So the cost of 1 tree = 210/6 = $35
The cost of 13 trees = $455
So the cost of 1 tree = 455/13 = $35
The cost of 18 trees = $630
So the cost of 1 tree = 630/18 = $35
Thus, the table indicates that the cost of 1 tree = $35
In other words,
unit rate = $35 per treeTherefore, the cost of 10 trees will be: 35 × 10 = $350
Thus, we conclude that the cost of 10 trees will be: $350
Find the percent change from the first value to the second.
44;55
Step-by-step explanation:
Where: 44 is the old value and 55 is the new value. In this case we have a positive change (increase) of 25 percent because the new value is greater than the old value.
The solution is 20 %
The percentage change from the first value to the second value is 20 %
What is Percentage Error?
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage error is the difference between the measured value and the true value , as a percentage of the true value
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Given data ,
Let the percentage change from first value to the second value be = A
Now , the first value = 44
The second value = 55
The percentage change is calculated from the formula ,
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Substituting the values in the equation , we get
Percentage Error = [ ( | 44 - 55 | ) / 55 ] x 100
On simplifying the equation , we get
Percentage Error = ( 11/55 ) x 100
Percentage Error = 100/5
Percentage Error = 20 %
Therefore , the value of A is 20 %
Hence , the percentage change from the original value is 20 %
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35-(-8) find the difference
[tex]Answer:[/tex]
[tex]43[/tex]
[tex]Step-by-step~explanation:[/tex]
[tex]35-(-8)[/tex]
[tex]35 + 8[/tex]
[tex]= 43[/tex]