$36.80
Explanation:Cost of Uber ride = $32
Tip = 15%
\(\begin{gathered} \text{Tip Amount = }15\text{ \% }\times\text{ \$32} \\ \text{Tip Amount = 0.15 }\times\text{ \$32} \\ \text{Tip Amount = \$4.8} \end{gathered}\)\(\begin{gathered} \text{Total cost = cost of Uber ride + tip amount} \\ \text{Total cost = }32\text{ + \$4.8} \\ \text{Total cost = }36.8 \\ \\ \text{Total cost is \$36.80} \end{gathered}\)ssume all information in example 1 above and the following additional information: Actual data for job 201 is give is given belowActual shirts completed for job 201………………2,000 shirtsActual direct material cost used………………...$30,000Actual direct cost incurred……………………...$20,000Actual direct labor hours used…………………. 400 hoursActual machine hours…………………………. 240 hoursInstruction: compute the applied factory overhead and determine the total cost of job 201 under each of the five bases. A) Physical output as allocation baseDirect materials cost as allocation base Direct labor cost as allocation base Direct labor hours as allocation baseMachine hours as allocation base
The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.
Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.
Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.
Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.
The applied overhead cost for job 201 is $30,000*120% = $36,000.
Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.
-Direct labor cost as allocation base:
The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.
The applied overhead cost for job 201 is $20,000*120% = $24,000.
Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.
-Direct labor hours as allocation base:
The actual direct labor hours used in job 201 is 400 hours.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.
Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.
-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.
The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.
-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.
The applied overhead cost for job 201 is $24*240 hours = $5,760.
Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.
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A person places $48800 in an investment account earning an annual rate of 3.1%,
compounded continuously. Using the formula V = Pert, where Vis the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 13 years.
When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.
What is compounding?Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.
We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:
Using the formula V = \(Pe^rt\)
Principal (P) = $48,800.00
Annual Rate (R) = 3.1%
Compound (n) = Compounding Continuously
Time (t in years) = 13 years
Result:
V = $73,019.78
V = P + I where
P (principal) = $48,800.00
I (interest) = $24,219.78
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 3.1/100
r = 0.031 rate per year,
Solving the equation for V:
V = \(Pe^rt\)
V = \(48,800.00(2.71828)^(0.031)(13)\)
V = $73,019.78
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
(!20 POINTS PLEASE HELP!) The students in a class are randomly drawing cards numbered 1 through 28 from a hat to determine the order in which they will give their presentations. Find each probability. Solve each problem below 1. P(13) 2. P(less than 14) 3. P(not 2 or 17)
Since there is 28 cards, the chance of drawing 1 card will be \(\frac{1}{28}\)
Therefore, \(P(13)=\frac{1}{28}\).
There are 13 numbers less than 14 and greater than 0.
Therefore \(P(>14)=\frac{13}{28}\)
There are 26 numbers that are not 2 or 17.
Therefore \(P(\neq 2,17)=\frac{26}{28}=\frac{13}{14}\)
Hope this helps.
頑張って!
Probability of
Option (1). P(13) =\(\frac{1}{28}\)
Option (2). P(less than 14) = \(\frac{13}{28}\)
Option (3). P(not 2 or 17) =\(\frac{13}{14}\)
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur
Given,
Total number of card = 28
Probability = Number of favorable outcome / Number of total outcome
Probability of picking 13 = \(\frac{1}{28}\)
Probability of picking a card less then 14 = \(\frac{13}{28}\)
Probability of not picking 2 or 17 = \(\frac{26}{28}=\frac{13}{14}\)
Hence, the probability of
Option (1). P(13) =\(\frac{1}{28}\)
Option (2). P(less than 14) = \(\frac{13}{28}\)
Option (3). P(not 2 or 17) =\(\frac{13}{14}\)
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Use similar triangles to solve for the missing lengths below.
If you know how to work this out please help:)
Answer:
x = 14
y = 18
Step-by-step explanation:
By the property of similar triangles,
If two triangles are similar their corresponding sides will be proportional.
\(\frac{AB}{EF}= \frac{AC}{GE}\)
\(\frac{5}{10}=\frac{7}{x}\)
x = \(\frac{70}{5}\)
x = 14
Similarly, \(\frac{AB}{EF}= \frac{CB}{GF}\)
\(\frac{5}{10}=\frac{9}{y}\)
y = \(\frac{90}{5}\)
y = 18
1. JP Construction is building a rectangular children's wading pool for the local community center. The pool will be 4.5 meters wide. To meet city building code guidelines, the area of the pool must not be larger than 8 square meters. Which inequality represents the possible lengths of the wading pool, where x represents the length of the wading pool in meters?
Answer:
\(x\leq 1.78\)
Step-by-step explanation:
We are given that
Width of pool, b=4.5 m
We have to find the inequality which represents the possible lengths of the wading pool.
Let x be the length of wading pool
We know that
Area of rectangle=\(length\times breadth\)
According to question
Using the formula
\(4.5x\leq 8\)
Divide by 4.5 on both sides we get
\(x\leq\frac{8}{4.5}\)
\(x\leq 1.78\)
I need help on this one please
Answer:
it is D
Step-by-step explanation:
just reflect by y=-1 its easy
Academy X + v
ignment/index?eh=38232465#
LEARN
MESSAGE
Sling and Subtracting Polynomials
SECTION 20
4
5
6
7
8
9 10 11
12
ubtraction in a vertical format and select the correct answer.
Reduce 7y + 2y^2 - 7 by 3 - 4y
Stacey is walking laps around a circular track. The radius of the track is 5 ft. What is the total number of feet in one lap?
please answer it
What is the length of BC?
Answer: BC = 24
Step-by-step explanation:
Given:
AB = x+33
AC = 3x - 15
BC = x
<B = <C
Solution:
Because <B = <C, you can say the corresponding sides AB and AC are equal as well
AB = AC
x + 33 = 3x -15
48 = 2x
x = 24
Since x = BC
BC = x
BC = 24
PLEASE I NEED HELP IN THIS
HERE IS THE PICTURE IS JUST ONE QUESTION
Answer:
f(x) = -5/9x - 11/9
Step-by-step explanation:
Consider f(x) = y
so if x = -4 => y = 1 and x = 5 => y = -4
so (-4,1) and (5,-4) should be on the same linear equation
Slope m = (y2 - y1)/(x2 - x1)
m = (-4 - 1)/(5 - -4) = (-5)/(9) = -5/9
y = mx + b
given m = -5/9, x = -4, y = 1
1 = -5/9(-4) + b
b = 1 - 20/9
b = 9/9 - 20/9 = -11/9
so y = -5/9x - 11/9
or f(x) = -5/9x - 11/9
What is the answer for this question plz help?
Answer:
29 hopefully its right
Answer:
29
Step-by-step explanation:
d+6c
Let d=5 and c = 4
5 + 6*4
Multiply first
5 +24
Then add
29
7515.904 rounded to nearest tenth
Answer:
7515.9
Step-by-step explanation:
Tenth is basically like 1 decimal point.
0-4 round dowm 5-9 round up
Suppose you have $1600 in your savings account at the end of a certain period of time. You invested $1500
at a 6.49% simple annual interest rate. How long, in years, was your money invested?
Thus, the time taken for the sum of $1500 to become $1600 with 6.49% simple annual interest rate is found as 1.027 years.
Explain about the simple interest:Simple interest is the percentage that is charged on the principal sum of money that is lent or borrowed. Similar to this, when you deposit a particular amount in a bank, you can also earn interest.
Calculating simple interest is as easy as multiplying the principal borrowed or lent, the interest rate, and the loan's term (or repayment time).
Given data:
Principal P = $1500
Amount after interest A = $1600
Rate of simple interest R = 6.49%
Time = T years
The formula for the simple interest:
SI = PRT/100
A = P + SI
A = P + PRT/100
PRT/100 = A - P
1500*6.49*T/100 = 1600 - 1500
1500*6.49*T = 100 *100
T = 10000 / 9735
T = 1.027 years
Thus, the time taken for the sum of $1500 to become $1600 with 6.49% simple annual interest rate is found as 1.027 years.
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9x9/16+12 whats the answer
Answer:
17.0625
Step-by-step explanation:
Due to order of operations the division and multiplication get done first and the we add the 12
Answer:
2.89285714
Step-by-step explanation:
9x9/16+12
81/16+12
5.0625 + 12 = 17.0625
Hope this helps :)
Find the missing value to the nearest hundredth. cos (______) = 3/7
A. 64.62 degrees
B. 1.12 degrees
C. Not possible
Answer:
1.12
Step-by-step explanation:
a/dc = b
solve for a
Answer: a=bdc
Step-by-step explanation:
Multiple dc with b to get a alone
Answer:
a = bd/c
Step-by-step explanation:
An art class has 63 minutes of painting for every 54 minutes of instruction. What is the basic ratio of minutes of painting to minutes of instruction
The basic ratio of minutes of painting to minutes of instruction is 7 : 6
What is the basic ratio of minutes of painting to minutes of instructionFrom the question, we have the following parameters that can be used in our computation:
Painting = 63 minutes
Instruction = 54 minutes
The ratio can be represented as
Ratio = Painting : Instruction
When the given values are substituted in the above equation, we have the following equation
Painting : Instruction = 63 : 54
Simplify
Painting : Instruction = 21 : 18
Simplify
Painting : Instruction = 7 : 6
This ratio cannot be simplified
Hence, the solution is 7 : 6
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A bucket contains 72 red, 48 blue, 48 green, and 48 yellow crayons. The art teacher also has 120 pieces of drawing paper. What is the largest number of identical kits the art teacher can make with all of the crayons and all of the paper?
The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.
To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.
The GCD represents the largest number that can divide all the quantities without leaving a remainder.
The GCD of the quantities of crayons can be found by considering the prime factorization:
72 = 2³ × 3²
48 = 2⁴ × 3
48 = 2⁴ × 3
48 = 2⁴ × 3
The GCD of the crayons is 2³ × 3 , which is 24.
Now, we need to find the GCD of the quantity of drawing paper:
120 = 2³ × 3 × 5
The GCD of the drawing paper is also 2³ × 3 , which is 24.
Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.
Each kit would contain an equal distribution of crayons and drawing paper.
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Look at the following numbers: -10, -5, 0, 5 Which pair of numbers has a sum of 0? (5 points) a -10, 5 b 0, 5 c 5, -5 d -5, 0
Answer:
c) 5, -5
Step-by-step explanation:
5 + (-5)
= 5 - 5
= 0
income from operations of $231,000. In addition, it received interest income of $23,100 and received dividend income of $29,700 from another corporation. Finally, it paid $11,000 of interest income to its bondholders and paid $45,000 of dividends to its common stockholders. The firm's federal tax rate is 21%. What is the firm's federal income tax? Do not round intermediate calculations. Round your answer to the nearest dollar.
The firm's federal income tax is $57,168.
To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.
In this case, the firm's total income consists of income from operations, interest income, and dividend income.
Total income:
Income from operations = $231,000
Interest income = $23,100
Dividend income = $29,700
Total income = $231,000 + $23,100 + $29,700 = $283,800
Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:
Total expenses = Interest paid to bondholders = $11,000
Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800
Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:
Federal income tax = Taxable income * Federal tax rate
Federal income tax = $272,800 * 0.21 = $57,168
Therefore, the firm's federal income tax is $57,168.
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How do I solve this diagram map? Diagram shows the following:
1 - 3
2 - 5
3 - .....?
?..... - 17
10 - ......?
100 - ......?
The complete diagram map is given as,
1 - 3
2 - 5,
3 - 7,
8 - 17,
10 - 21
100 - 201
Given that,
To complete the map diagram,
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
The given map diagram follows the general term as nth term = 2n + 1
So for n = 3
= 2 [3] + 1
= 7
Similarly,
10th = 21
100th = 2001
For the value 17
17 = 2n + 1
n = 8
So the 8th term is 17 in the map diagram,
Thus, The complete diagram map has been shown.
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Ben used 142.7 pounds of gravel in his front yard and 116.6 pounds in his back yard. How many more pounds of gravel does Ben use in his front yard than his back yard?
Answer:
26.1 pounds
Step-by-step explanation:
Ben used 142.7 pounds of gravel in his front yard and 116.6 pounds in his back yard. How many more pounds of gravel does Ben use in his front yard than his back yard?
142.7 - 116.6 = 26.1 pounds
What is a(b+c)= __
this is not timed but i need to know
Answer:
1 x (2 + 3)
Step-by-step explanation:
Just replace the letters with numbers
Express sin UU as a fraction in simplest terms.
S
T
U
24
18
Answer: \sin U =sinU=
The expression of sinU as a fraction is 12/13
Find the diagram attached.
To get the fraction represented by sinU, we will use the SOH CA TOA identity.
From the diagram;
Hypotenuse = SU = 13Opposite = ST = 12 (angle opposite to m<U)Since sin theta = opp/hyp
SinU = ST/SU
SinU = 12/13
Hence the expression of sinU as a fraction is 12/13
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how many solutions does the system of equations have?
Step-by-step explanation:
The ONE solution to this system of two lines is the point where the two lines cross at (1,4)
Point C has a coordinate of (-6, -4) and point D has a coordinate of (1, -6), how far are they apart?
Answer: D=\(\sqrt{53}\)
Step-by-step explanation:
The distance between two points in a plane can be calculated using the distance formula, which is derived from the Pythagorean Theorem. The distance between points (x1, y1) and (x2, y2) is given by:
\(D=\sqrt{(x2-x1)^{2} } +\sqrt{(y2-y1)^{2} }\)
Use this formula to find the distance between points C and D.
C: x1 = -6, y1 = -4
D: x2 = 1, y2 = -6
\(D=\sqrt{[(1-(-6)]^{2} } +\sqrt{[(-6-(-4)]^{2} }\)
\(D=\sqrt{49+4}\)
\(D=\sqrt{53}\)
8 1/3 in 10 minutes
find unit rate
please helpp
meeee
agf akgfkef eafef f
Answer:
The lines help u see where they go
Step-by-step explanation:
Answer: (maybe not 100% correct i d k)
Primary Sorce:
Anne Frank's Diary
Photo of a Migrant Worker
American Indian Treaty
Letter by George Washington
Not Primary Source:
1927 and 1992 Article About Babe Ruth
Movie About the Civil War
History Textbook
Fiction Set in 1780s
Blog About Black Holes
how much does michael jordan make a month
Answer:
he makes about $130 million a year.
Step-by-step explanation:
divide 130,000,000 by 12 and you get 10,833,333.3333. So approx. $10,833,333.30 per month.