The journal entry to record the replenishment of the petty cash fund shows a debit of $45 , $25 and $8 and a net credit of $78.
Replenishment of the Petty Cash Fund:
Petty cash refers to a small amount of fund that can be used for the day to day expenses for which disbursement of checks will not be suitable. As and when the petty cash balance is being used and reduced, the fund custodian requests and receives cash from the company's regular checking account, in order to maintain the same petty cash balance it initially had, which is nothing but the replenishment of the petty cash fund.
The journal entry to record the replenishment of the petty cash fund is made below:
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Complete question is given below :
On March 20, Harbor's petty cash fund of $100 is replenished when the fund contains $22 in cash and receipts for postage $45, supplies $25, and travel expense $8.
Prepare the journal entry to record the replenishment of the petty cash fund.
The Cash account is credited, Reflecting the decrease in the petty cash fund due to the various expenses incurred.
The expenses made from the Harbor's petty cash fund, we need to record the appropriate entries to reflect the decrease in cash for each expense category. Based on the given information, the expenses include $19 for postage, $40 for supplies, $26 for travel, and $15 for miscellaneous expenses.
1. Postage Expense:
To record the expense for postage, we will debit the Postage Expense account and credit the Cash account. Assuming the Postage Expense account has a normal debit balance:
Postage Expense $19
Cash $19
2. Supplies Expense:
For supplies expenses, we will debit the Supplies Expense account and credit the Cash account:
Supplies Expense $40
Cash $40
3. Travel Expense:
To account for the travel expenses, we will debit the Travel Expense account and credit the Cash account:
Travel Expense $26
Cash $26
4. Miscellaneous Expense:
Lastly, for the miscellaneous expenses, we will debit the Miscellaneous Expense account and credit the Cash account:
Miscellaneous Expense $15
Cash $15
After recording these entries, the petty cash fund will have been reduced by the total expenses. It's important to note that the remaining balance of the petty cash fund should be adjusted accordingly.
the journal entries to account for the expenses from the Harbor's petty cash fund are as follows:
Postage Expense $19
Cash $19
Supplies Expense $40
Cash $40
Travel Expense $26
Cash $26
Miscellaneous Expense $15
Cash $15
These entries ensure that the appropriate expense accounts are debited and the Cash account is credited, reflecting the decrease in the petty cash fund due to the various expenses incurred.
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A plane flying with a constant speed of 360 km/h passes over a ground radar station at an altitude of 1 km and climbs at an angle of 30°. At what rate (in km/h) is the distance from the plane to the radar station increasing a minute later? (Round your answer to the nearest whole number.)
The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).
To solve this problem, we can use the concepts of trigonometry and related rates.
Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.
Given:
The plane is flying with a constant speed of 360 km/h.
The plane passes over the radar station at an altitude of 1 km.
The plane is climbing at an angle of 30°.
We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.
We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:
sin(30°) = 1/D.
To find dD/dt, we can differentiate both sides of this equation with respect to time:
cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.
Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:
cos(30°) * 0 = -1/D^2 * dD/dt.
We can substitute the known values:
cos(30°) = √3/2,
D = 1 km.
Therefore, we have:
√3/2 * 0 = -1/(1^2) * dD/dt.
Simplifying further:
0 = -1 * dD/dt.
This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.
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>Evaluate a² - 23.5 when a = 7.2.
Mrs alvares rents skis and poles for 3 days what is the total cost of rental
The total cost of rents is $180.
In the given table,
The cost of skis per day = $48
The cost of pole per day = $12
Now since given that,
Alveres rents for 3 days
Therefore,
The cost of skis for 3 days = $48 x 3
= $144
The cost of pole for 3 days = $12 x 3
= $36
To find the total cost of rental,
Adding the cost of 3 days of skis and cost of 3 days of poles,
Hence,
Total cost of rents = $144 + $36
= $180
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At age 20, someone sets up an IRA (individual retirement account) with an APR of 5%. At the end of each month he deposits $65 in the account. How much will the IRA contain when
←he
retires at age 65? Compare that amount to the total deposits made over the time period.
After retirement the IRA will contain $ 131,718.42
(Do not round until the final answer. Then round to the nearest cent as needed.)
The total deposits made over the time period is $
(Type a whole number)
CETT
Answer:
total deposits: $35,100
Step-by-step explanation:
You have the value of an annuity earning 5% with payments of $65 a month for 45 years as $131,718.42. You want to know the total value of payments.
Payments12 payments per year of $65 for 45 years will have a total value of ...
12·65·45 = 35100
Total deposits will be $35,100.
Determine which set of side measurements could be used to form a triangle. 12, 23, 7 10, 7, 2 8, 3, 11 5, 11, 8
Based on the triangle inequality theorem, the set of side measurements that could be used to form a triangle is: D. 5, 11, 8.
What is the Triangle Inequality Theorem?The triangle inequality theorem states that three set of side measurements, a, b, and c would form a triangle if a + b > c, that is, the sum of any of two sides should be greater than the third side.
The set of side of measurements 5, 11, 8 will form a triangle because:
5 + 11 > 8 ⇒ 16 > 8
5 + 8 > 11 ⇒ 13 > 11
8 + 11 > 5 ⇒ 19 > 8
The other set of side of measurements do not conform to this criterion set by the triangle inequality theorem, therefore, the only set of side measurements that will form a triangle is: D. 5, 11, 8.
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Answer:
D.
5, 11, 8
Step-by-step explanation:
A soccer field is a rectangle 30 meters wide and 120 meters long.The coach asks players to run from one corner to the corner diagonally across. What is the distance to the nearest tenth of a mile
Answer:
123.7 meters
Step-by-step explanation:
If you draw a diagram, this will be a rectangle and the line across cuts it into a right triangle, with a base of 120 and a height of 30. The need to know the length of the hypotenuse of the triangle, so we can use the pythagorean theorem.
30^2 + 120^2 = c^2
c=123.7
Amanda is looking for the best deal on a designer handbag that has a wholesale price of $439. Help her compare the price
of the handbag in different situations by completing the following.
(a) Amanda can go to a boutique that she knows has the handbag. This boutique gets it from a distributor who marks.
up the wholesale price 20%. Then the boutique marks it up by an additional 50%. Ignoring tax, how much would
Amanda pay for the handbag at this boutique?
$0
(b) Amanda can also buy the handbag from a distributor that does direct-to-customer sales. When selling directly to
individual customers, this distributor marks up the wholesale price 70%. Ignoring tax, how much would Amanda
pay for the handbag if she gets it from this distributor?
$0
(c) Select the true statement.
O Amanda would pay less for the handbag if she gets it at the boutique.
O Amanda would pay less for the handbag if she gets it directly from the distributor.
Amanda would pay the same amount if she gets the handbag from the distributor or at the boutique.
factorise and simplify (x^3+x^2+x+1) ÷ (x+1)
PLS YALL FAST
Answer:
x²+1
Step-by-step explanation:
(x+1)(x²+1)/(x+1)
x²+1
Solve the system of equation by graphingY=-1/2x-1Y=1/4x-4Please make a graph and solve the system
The given system of equations is expressed as
Y=-1/2x-1
Y=1/4x-4
We would assume values for x and substitute them into the equations to get corresponding values for y. We would plot these x and y values on the graph. The x and y values corresponding to the point where the two lines meet represents the solution of the system of equations.
For the first equation,
If x = 0, y = - 1/2*0 - 1 = - 1
If x = 1, y = - 1/2 * 1 - 1 = - 3/2
If x = 2, y = - 1/2 * 2 - 1 = - 2
For the second equation,
if x = 0, y = 1/4*0 - 4 = - 4
If x = 1, y = 1/4*1 - 4 = - 15/4
If x = 2, y = 1/4*2 - 4 = - 7/2
The graph is shown below
Looking at the graph, the red line represents y = - x/2 - 1 while the blue line represents
y = x/4 - 4
At the point where both lines meet,
x = 4, y = - 3
Thus, the solution of the system of equations is (4, - 3)
Solve the given equation for x. 2-3x -x = 2^2 (Use (Use a comma to separate answers.)
Answer:
x+2_3x_x=2^2
2_3x=4
3x=4+2
x=6÷3
×=2 is ans
Which of the following can you determine when you use deduction and start from a given set of rules and conditions
Answer:
What must be true
Step-by-step explanation:
An electronics store is having a 15% off sale. Suppose the sale price(p) of a laptop is $495. Which statement are true for this stuation
A. P+ 0.15p represents the sales price
B. P- 0.15p represent the sales price
C. 0.85p represents the sales price
D. The sale price is 420.75
E. The sale price is 569.25
Please just give me the answer choices by the letter and not a photo i will give 15 points
Answer:
B, C, and D are true. 0.15price is 15% subtracted, 0.85 is with 15% subtracted, 420.75 is the sale price calculated.
In a group of five students, there are two boys and three girls. The instructor randomly selects one student to record for the group and another student to spy on the other groups. Find P(boy first and girl second), the probability of selecting one of the boys first, and then selecting a girl for the second role
Answer: The instructor randomly selects one student to record for the group and another student to spy on the other groups.
\(\color{yellow}{}\)
Find all points on the x-axis that are 16 units from the point (4,-8)
Step-by-step explanation:
all points on the x axis have a y value of 0.
so, we need to find all points (x, 0) with a distance of 16 to (4, -8).
the distance to a point is the Hypotenuse of the right-angled triangle with the coordinate differences as legs.
and so Pythagoras applies :
c² = a² + b²
with c being the Hypotenuse (side opposite of the 90° angle).
so, in our case we have
16² = (4-x)² + (-8 - 0)²
256 = 16 - 8x + x² + 64 = x² - 8x + 80
x² - 8x - 176 = 0
if we have no other idea of factorization the general solution of such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -8
c = -176
x = (8 ± sqrt((-8)² - 4×1×-176))/(2×1) =
= (8 ± sqrt(64 + 704))/2 = (8 ± sqrt(768))/2 =
= (8 ± sqrt(256×3))/2 = (8 ± 16×sqrt(3))/2 =
= 4 ± 8×sqrt(3)
x1 = 4 + 8×sqrt(3) = 17.85640646...
x2 = 4 - 8×sqrt(3) = -9.856406461...
so, the points on the x axis that are 16 units apart from (4, -8) are
(x1, 0) and (x2, 0)
I am not sure in what format you need the answer.
please fill in for x1 and x2 from above what you need.
PLZ HELP DUE IN 45 MIN
If angle ABD is 125° and angle BAC is 40° what is the angle measurement of BCA?
Answer: C. 85
Step-by-step explanation: subtract 125 from 40
find the range of this equation
The range of the given equation is [-1, infinity).
We are given that;
Equation y= underroot(x+5)
Now,
The domain of this equation is the set of x values that make the expression under the square root non-negative.
That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).
The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.
Therefore, by the range the answer will be [-1, infinity).
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Could you help explain and work this out for me?
The equation of the Line L is 2x - y \(=\) -1 .
In the question ,
a line graph is given ,
we can find two points from the line .
first point : when x = 1 , y is 3
the first coordinate is (1,3)
second point : when x = 2, y is 5 .
the second coordinate is (2,5)
the slope of the line passing through (1,3) , (2,5) is
m = (5-3)/(2-1)
m = 2/1
m = 2
the equation of line passing through (1,3) and slope as 2 is
y-3 = 2(x-1)
y - 3 = 2x - 2
2x - y = -3+2
2x - y = -1
Therefore , The equation of the Line L is 2x - y \(=\) -1 .
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How will the mode be affected if the outlier is removed from the data set below? 58, 60, 53, 54, 60, 35, 58, 60
will the mode decrease?
will the mode not change?
is there not enough information?
will the mode increase?
The mode will not change.
Given data,
58,60,53,54,60,35,58,60
Outlier is the value in a set of data that much higher or lower than other values in data.
from given data, outlier is 35.
Mode is the value in a set of data that occurs more frequently in set of data.
from given data, 60 occurs more frequently.
Hence, 60 is the mode of data.
If outlier is removed from the data set then it will not affect the mode of the data
Thus, the mode will not change.
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salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
12 out of 15 students play in the school band. In a class of 45 students, how many do NOT play in the band? HELP!
Answer:
9 students
Step-by-step explanation:
because 15x 3 = 45 so 12x3= 36 so 45-36= 9 Can i be branliest
-4w-2= |6w+20|
W ends up equaling-9 and -11/5 I just need the show the work steps
\( - 4w - 2 = |6w + 20| \)
Answer:- Steps:- Part 1:-\( - 4w - 2 = |6w + 20| \\ - 4w - 2 = 6w + 20 \\ - 2 - 20 = 6w + 4w \\ - 22 = 10w \\ \frac{ - 22}{10} = w \\ \frac{ - { \cancel{22}}^{ \: \: 11} }{ \cancel{10}^{ \: \: \: 5} } = w \\ \frac{ - 11}{5} = w\)
Part2:-\( - 4w - 2 = |6w + 20| \\ - 4w - 2 = | - (6w + 20)| \\ - 4w - 2 = - 6w - 20 \\ 6w - 4w = - 20 + 2 \\ 2w = - 18 \\ w = \frac{ - 18}{2} \\ w = \frac{ - \cancel{18}^{ \: \: 9} }{ \cancel2} \\ w = - 9\)
twice the square of the number
Answer:
this is easy
Step-by-step explanation:
The number to find square X 2= ?
For eg. 12X2=24
Step-by-step explanation:
The answer of twice the square number
6×6=36
A data set contains the values 1, 2, 5, 5, and 7.
The table shows the distance between each value and the mean of 4.
Data value
Distance between
value and mean
1
3
2
2.
5
1
5
1
7
3
Sum of distances 10
What is the mean absolute deviation (MAD) of the data set?
Answer:
2, The MAD is the MEAN STANDARD DEVIATION meaning it is the average of all the numbers distances away from the MEAN. you just add up all the distances and divide by how many there are.
What will be the output of the program? public class SqrtExample { 03 03 O NaN O Compilation fails public static void main(String [] args) { double value = -9.0; System.out.println( Math ,sqrt(value));
Answer:
216apower4 b + 512 abpower4
A farmer weighed 20 dairy goats in pounds. Of the goats, 10 were males and 10 were females. Based on these samples, what generalization can be made?
A. All of the female goats weigh more than all of the male goats.
B. All of the male goats weigh more than all of the female goats.
C. The interquartile range for the male goats is greater than the interquartile range for the female goats.
D. The interquartile range for the female goats is greater than the interquartile range for the male goats.
The generalization that can be made from the statistical information in the question is that IQR for the female is larger than for the male. The correct option is option D.
D. The interquartile range for the female is greater than the interquartile range for the male goats
What is an IQR?An Interquartile range, IQR, is the difference between the Third Quartile, Q₃, and the First Quartile, Q₁, of the five number summary of a dataset.
The details from the table in the question are;
First Quartile for the Males, Q₁ = 29
First Quartile for the Females, Q₁ = 21
Second Quartiles (Median) for the Males, Q₂ = 57
Second Quartiles (Median) for the Females, Q₂ = 48
Third Quartile for the Males, Q₃ = 78
Third Quartile for the Females, Q₃ = 72
The interquartile range, IQR = Q₃ - Q₁
Therefore;
The interquartile range for the females, IQR = 72 - 21 = 51
The interquartile range for the males, IQR = 78 - 29 = 49
Therefore, the interquartile range for the female goats, 51 is greater than the interquartile range for the male goats, 49
The correct option is option D
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Use the diagram to the right. Is the statement true?
<5 and <1 are complementary
Answer:
D. No, because they are supplementary.
Step-by-step explanation:
5 and 1 make a straight line, meaning when they are combined, they are supplementary which means they have a sum of 180 degrees.
Answer:
D. No, because they are supplementary.
Step-by-step explanation:
Elimination of Answers:
A. Just doesn't make since bc their not opposite.
B. Complementary means the angles add up to 90⁰
C. The angles do not have a sum of 90⁰ they have a sum of 180⁰
:)
Identify the solution for the system of equations and explain its meaning using the context from the real-world problem.
I GOT THE ANSWER BUT I NEED THE EXPLANATION
The linear equation in this situation is y=20x which will have its solution as per the values of 'x'.
Explain about the System of Linear Equations?A collection of more that two linear equations is known as a system of linear equations. It's possible for a linear equation to have a number of variables.There are numerous uses for a system of linear equations. Real-world problem like assessing cost, distance, lifespan, profit, etc., as an example. Every unknown quantity can be found for a given quantity by using it.For instance, the cost of a good for a certain amount can be determined using a linear equation.
If a unit of a single product costs $20, the equation would be y=20x.In this case, x is the quantity of items and y is the price.The linear equation in this situation is y=20x.
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What is the value of the angle marked in red?
Answer:
45 degrees
Step-by-step explanation:
There are 8 sides and assuming the figure is regular, 360/8 = 45 degrees
Answer:
45°
Step-by-step explanation:
360/8=45°
Solve the equation e' = 120. Then find the approximate value of the solution
using a calculator.
The approximate value of the solution to the equation e' = 120 is e ≈ 120.the value of e by rounding it to a Reasonable number of Decimal places.
The given equation is e' = 120, where e represents some variable.
To solve for e, we can start by dividing both sides of the equation by the coefficient of e, which is 1:
e' / 1 = 120 / 1
Simplifying the right-hand side, we get:
e' = 120
This means that the value of e is equal to 120. So the solution to the equation e' = 120 is e = 120.
To find the approximate value of e, we can use a calculator to evaluate the expression. Since e is a variable, we cannot substitute it directly into the calculator. However, we can estimate the value of e by rounding it to a reasonable number of decimal places.
In this case, since e' is given as 120, we can assume that e is also in the same units. So we can round e to the nearest whole number:
e ≈ 120
Therefore, the approximate value of the solution to the equation e' = 120 is e ≈ 120.
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Answer this for 10 points
You will be reported if you say the wrong answer
Answer:
the 3rd one or the first one you chooses between them to
Step-by-step explanation: