Using Accounting,
Rick's Net pay for July month is $2091.75..
We have given that , Rick O'Shea is an employee of Hunter Furniture Company.
Total paid money to Rick O'Shea in a year = $30,000
Total paid money to Rick O'Shea in a month
= year paid / 12 = $30000/12 = $2500
We have data of taxes on July month salary.
federal income tax = $180
state income tax= $37
Social security tax = 6.2% of 2500 = $155
Medicare tax = 1.45% of 2500 = $36.25
State Unemployment Tax = 4% of 2500 = $100
Federal Unemployment tax = 0. 6%of 2500 = $15
we have to calculate Rick's net pay for July .
Rick's is an employee so, State unemployment tax and Federal Unemployment taxes excluded from his monthly income .
so, total taxes which he have to paid from his monthly income= Medicare tax + state income taxes + federal income taxes +social security tax
= $36.25+$37+$180+$155 = $408.25
Rick's net pay for July = total monthly income - total taxes
= $2,500 - $408.25 = $2091.75
Hence, Rock's net pay for July is $2091.75.
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Frank wants to earn at least $47 trimming trees. He charges $7 per hour and pays $9 in equipment fees. What are the possible numbers of hours Frank could trim trees?
By setting up the equation and solving and simplifying the equation, the possible number of hours Frank can trim tree is 5.43 hours, round off the hour that will be 6 hours.
What is Algebraic simplification?Algebraic simplification is the process of rewriting an algebraic expression in a simpler form, without changing its value.
What is algebraic expression?An algebraic expression is a combination of numbers, variables, and arithmetic operations that can be evaluated to a specific numerical value.
let the required number of hours be h,
so setting up the equation,
7h + 9 = 47
Then we can subtract 9 from both sides to isolate h:
7h + 9 - 9 = 47 - 9
7h = 38
Dividing both sides by 7 gives us:
7h/7 = 38/7
h = 5.43
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two and nineteen hundredths times a number g plus fifty-nine hundredths. evaluate the expression when g = 3
The expression given after evaluation is: seven and eighty-six hundredth.
What is a word problem?Word problem is a topic that requires expressing a given statement in a mathematical form. Thus each part of the statement are considered so as to give a mathematical equation, Thus the value of an unknown variable can be determined after evaluation.
Given that;
2 19/100 * (g + 59/100)
To evaluate the expression when the value of g is 3, then we have;
2 19/100 * (g + 59/100) = 2 19/100 * (3 + 59/100)
= 2 19/100 * (300 + 59)/100)
= 219/100 * (359/100)
= 219/100 * 359/100
= 78621/10000
2 19/100 * (g + 59/100) = 7 8621/10000
The answer is seven and eighty-six hundredth.
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How are the graphs of the functions f(x) = StartRoot 16 EndRoot Superscript x and g(x) = RootIndex 3 StartRoot 64 EndRoot Superscript xrelated?
The functions f(x) and g(x) are equivalent.
The function g(x) increases at a faster rate.
The function g(x) has a greater initial value.
The function g(x) decreases at a faster rate.
Answer:
A. The functions f(x) and g(x) are equivalent.Step-by-step explanation:
Given functions:
f(x) = √16 = √4² = 4g(x) = ∛64 = ∛4³ = 4As we see both function are same once roots cleared.
Correct choice is A
Step-by-step explanation:
f(x) = \(\sqrt{16} = 4\) g(x) = \(\sqrt[3]{64} = 4\) f(x) = g(x) ==> 4 = 4Soo, answer is option (A.)
Any remainders? What’s the answer?
reak-Even and Target Proff Analyels LO5-4, LO5-5, LO5-6 Outback Outfitters sells recreational equipment. One of the company's products, a small camp stove, sells for $50 per unit. Variable expenses are $32 per stove, and fixed expenses associated with the stove total $108,000 per month. Requlred: 1. What is the break-even point in unit sales and in dollar sales? 2. If the variable expenses per stove increase as a percentage of the selling price, will it ressit in a higher or a lower break-even point? Why? (Assume that the fixed expenses remain unchanged.) 3. At present, the company is selling 8;000 stoves per month. The sales manager is convinced that a 10% reduction in the selling price would result in a 25% increase in monthly sales of stoves. Prepare two contribution format income statements, one ander present operating conditiors, and one as operations would appear after the proposed changes. Show both total and per unit data on your statements. 4. Refer to the data in (3) above. How many stoves would have to be sold at the new selling price to attain a target profit of $35,000 per month?
1. The break-even point in unit sales and in dollar sales is 4,500 units and $324,000 respectively.
2. If the variable expenses per stove increase as a percentage of the selling price, will it result in a higher break-even point.
3. Income statements before and after changes are implement net income of $36,000 and $(28,000) respectively.
4. The company has to sell 5,401 units to achieve the target profit of $35,000 per month.
1. The break-even point in unit sales and dollar sales is computed as follows:
Break-Even Point in Unit Sales = Fixed Costs / Contribution Margin per Unit = $108,000 / ($50 - $32) = 4,500 units
Break-Even Point in Dollar Sales = Fixed Costs / Contribution Margin Ratio = $108,000 / ($50 / $18) = $324,000
2. If variable expenses per stove increase as a percentage of selling price, it will result in a higher break-even point. Since variable expenses would have a higher percentage of revenue, contribution margin would be lower, making it more challenging to cover fixed costs.
3. Present Income Statement
Sales (8,000*$50) $400,000
Less variable expenses (8,000*$32) (256,000)
Contribution Margin $144,000
Less fixed expenses 108,000
Net Income $36,000
Income Statement if Changes are Implemented
Sales (8,000*$45) $360,000
Less variable expenses (8,000*$35) (280,000)
Contribution Margin $80,000
Less fixed expenses 108,000
Net Loss $(28,000)
4. The contribution margin ratio is 36% ($18/$50). So, the sales revenue required to achieve the target profit is:
$35,000 / 0.36 = $97,222
The number of units required to be sold is:
$97,222 / $18 = 5,401 units
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find the probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles.
The probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles = 0.0111
In this question we need to find the probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles.
Total marbles in tha bag
= 3 green marbles + 3 yellow marbles + 4 red marbles
= 10 marbles
the probability of drawing one marble from a bag,
P1 = 1/10
Now there are 9 marbles in the bag.
So, the probability of drawing second marble would be,
P2 = 1/9
So, the required probability of drawing two marbles (without replacement) from a bag would be,
P = P1 * P2
P = 1/10 * 1/9
P = 1/90
P = 0.0111
Therefore, the probability of drawing two marbles (without replacement) from a bag = 0.0111
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write 3/4 5/7 19/25 11/5 smallest to largest
Answer:\(\frac{5}{7} \\\\ \\\\\frac{3}{4} \\\\\frac{19}{25} \\\\\frac{11}{5}\)
Step-by-step explanation:
did i do this right if not can you show me how to do it
Answer:
no
Step-by-step explanation:
Order of operations
18/2=9
9/3=3
5-2=3
3/3
1 (simplified)
The outcome is still the same but since you have to show your work.....That's the correct way to do it
Hope this helps. Have a nice day.
Ms. Rivera created two dot plots to compare the results of her recent science quiz for 1st period students compared to 7th period students. The dot plots are displayed to the right. Use this information to answer the questions below.
The dot plots is an illustration of charts and graphs
The average score of period 7 is greater than the average score of period 1
How to determine the period with the higher average?From the dot plots in the complete question, we have the following frequency tables
Period 1 Period 7
Score Students Score Students
55 1 65 1
70 1 75 3
75 6 80 5
80 6 85 6
85 2 90 3
90 3 95 2
95 1
The average is calculated using:
\(\bar x = \frac{\sum fx}{\sum f}\)
For period 1, we have:
\(\bar x_1 = \frac{55 * 1 + 70 * 1 + 75 * 6 + 80 * 6 + 85 * 2 + 90 * 3 + 95 * 1}{1 + 1 + 6 + 6 + 2 + 3 + 1}\)
Evaluate the sum
\(\bar x_1 = \frac{1590}{20}\)
Evaluate the quotient
\(\bar x_1 = 79.5\)
For period 7, we have:
\(\bar x_7 = \frac{65 * 1 + 75 * 3 + 80 * 5 + 85 * 6 + 90 * 3 + 95 * 2}{1 + 3 + 5 + 6 + 3 + 2}\)
Evaluate the sum
\(\bar x_7 = \frac{1660}{20}\)
Evaluate the quotient
\(\bar x_7 = 83\)
By comparison, 83 is greater than 79.5
Hence, the average score of period 7 is greater than the average score of period 1
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solve for x. round to the nearest tenth of a degree, if necessary.
Answer:
x=45 I may be incorrect but I hope this helps
Step-by-step explanation:
All angles of a triangle add up to 180
there are 2 Xs which means two are the same angle.
angle w is 90 degrees
180-90=90
90/2=45
(please give me brainliest, I worked on this and i'm losing points, you don't have to if I am incorrect though.)
Which option best shows X < -18
Answer:
A is the best shows your answer
Answer:
B
Step-by-step explanation:
C and D are > and ≥ -18
A shows x < -18, which isn't what the question asks for
Multiple Choice - Problems. Encircle the correct answer. P100,000, half of which 1. A Company had a beginning total assets balance of P100,000, halfe same day, it were cash and the other half were accounts receivables. amounting to P40,000. had liabilities composing only of accounts payable ampur a. P100,000 c. P40,000 b. P50,000 d. P60,000 2. A Company had a beginning total assets balance of P100,000, half of which were cash and the other half were accounts receivables. On the same day, it had liabilities composing only of accounts payable amounting to P40,000. The next day, it collected all its accounts receivable and paid half of its accounts payable. How much was cash balance after these transactions? a. P60,000 c. P50,000 b. P80,000 d. P100,000 3. A company had total assets amounting to P250,000 and total equity amounting to P150,000. The next day, it made payments to its vendors amounting to P45,000. How much was total liabilities after the transaction? a. P100,000 c. P55,000 b. P105,000 d. P45,000 4. At the beginning of the year, a company had a cash balance of P100,000. During the year, it rendered professional services amounting to P500,000.0i this amount, P300,000 were immediately paid by clients in cash, and t: remaining balanced were on credit. Out of all the accounts receivable, 75% were collected before the year ended. Assuming these were the ont transactions of the company during the year, how much is the endint balance of cash? a. P550,000 c. P600,000 b. P500,000 d. P400,000 5. At the beginning of the year, a company had P500,000 worth of assets P180,000 worth of liabilities. During the year, the owner made an addition investment of P100,000. The company was able to render profession services to its client, earning P200,000(50% cash, 50% on credit). It incurred expenses amounting to P50,000, all of which were paid in cash. Before the year ended, the owner withdrew P20,000 from the company. How much is the ending balance of equity? a. P400,000 b. P550,000 c. P450,000 d. P730,000 6. During the year, a company rendered professional services amounting to P460,000, all of which were on account. Out of all its accounts receivables, only P250,000 were collected during the year. Also during the year, the company purchased supplies worth P70,000, paid in cash. If cash balance at the end of the year amounted to P500,000, then how much was cash at the beginning of the year? a. P320,000 c. P820,000 b. P890,000 d. P680,000 7. The company paid P120,000 to purchase an equipment. The equipment will be worth P130,000 in the next month, and was worth P110,000 last month. How much is the net effect of this purchase to the assets of the company? a. PO c. P10,000 increase b. P10,000 decrease 8. The company purchased land for P1,000,000 in exchange for a promissory note for the whole amount payable after one year. The land is worth P800,000 for tax assessment purposes and will be worth P1,200,000 next year. How much is the increase to the assets of the company due to this purchase? c. P1,000,000 a. PO d. P1,200,000 b. P800,000 9. The company purchases supplies worth P5,000, paid in cash. The transaction would have which of the following effects? a. Increase in assets and increase in liabilities P5,000 b. Increase in liabilities and decrease in equity P5,000 c. Increase in assets and increase in equity P5,000 d. No effect to total assets, liabilities, and equity 10. The company purchases supplies worth P5,000 on account. The transaction would have which of the following effects? a. Increase in assets and increase in liabilities P5,000 b. Increase in liabilities and decrease in equity P5,000 c. Increase in assets and increase in equity P5,000 d. No effect to total assets, liabilities, and equity
1. The correct answer is b) P50,000.
2. The correct answer is a) P60,000.
3. The correct answer is b) P105,000.
4. The correct answer is c) P600,000.
5. The correct answer is d) P730,000.
6. The correct answer is a) P320,000.
7. The correct answer is b) P10,000 decrease.
8. The correct answer is c) P1,000,000.
9. The correct answer is c) Increase in assets and increase in equity P5,000.
10. The correct answer is a) Increase in assets and increase in liabilities P5,000.
1. The beginning total assets balance is given as P100,000, and half of it is cash, so the cash balance is P50,000.
2. After collecting all accounts receivable, the cash balance remains the same as before, so it is P60,000.
3. Total liabilities after making payments to vendors would be the initial amount of liabilities, which is not provided in the question.
4. The cash balance at the end of the year can be calculated by summing up the cash received from clients (P300,000) and the cash collected from accounts receivable (75% of the remaining balance, which is 25% of P200,000), resulting in P500,000.
5. The ending balance of equity can be calculated by adding the beginning equity (P320,000), the owner's additional investment (P100,000), the net income (P200,000 - P50,000 = P150,000), and subtracting the owner's withdrawal (P20,000), resulting in P730,000.
6. Since the cash balance at the end of the year is given as P500,000, the cash at the beginning of the year would be the sum of cash received from accounts receivable (P250,000) and the cash used to purchase supplies (P70,000), which is P320,000.
7. The net effect of the purchase is calculated by subtracting the previous value of the equipment (P110,000) from the current value (P130,000), resulting in a net increase of P10,000.
8. The increase to the assets of the company due to the land purchase is the current value of the land (P1,200,000) minus the initial value (P1,000,000), which is P200,000.
9. The purchase of supplies worth P5,000 paid in cash would increase both assets (supplies) and equity (reduction in cash), with no effect on liabilities.
10. The purchase of supplies worth P5,000 on account would increase assets (supplies) and liabilities (accounts payable), with no effect on equity.
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What is the value of w?
w+12°
w+45°
w-23°
I need help with the equation for this question
The value of w using the equation w + 45 = w + 12 + w - 23 is 56
Calculating the value of w?From the question, we have the following parameters that can be used in our computation:
w+12°
w+45°
w-23°
Assuming an equation to solve w, we have
w + 45 = w + 12 + w - 23
Evaluating the like terms, we have
w + 45 = 2w - 11
Collecting the like terms, we have
-w = -56
Divide by -1
w = 56
Hence, the value of w is 56
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Is the following shape a square? How do you
know?
Answer:
B
Step-by-step explanation:
Answer:
no the sides are not congruent aka B
Step-by-step explanation:
Given center C and a point P on a circle, find its equation. C(-2,7) and P (1,11)
A) (x-1)2+(y-11)2=5
B) (x+2)2+(y-7)2=5
C) (x-1)2+(y-11)2=25
D) (x+2)2+(y-7)2=25
Answer:
the only left one is the distance or radius so to find this find under square root (x2-x1)²+(y2-y1)² then you gate r=5,R²=25 so the correct answer is d
I NEED HELP PLEASE: If x and y are proportional, fill in the blank with a number in simplest form.
There are 16 students in your Spanish class. Your teacher randomly chooses one student at a time to take a verbal exam. What is the probability that you are not one of the first four students chosen?
The probability that you are not one of the first four students chosen is 0.75 or 75%.
Probability calculationFor the first selection, the probability that you are not chosen is:
(16 - 1) / 16 = 15 / 16
For the second selection, the probability that you are not chosen is:
(16 - 1 - 1) / (16 - 1) = 14 / 15
For the third selection, the probability that you are not chosen is:
(16 - 1 - 1 - 1) / (16 - 1 - 1) = 13 / 14
For the fourth selection, the probability that you are not chosen is:
(16 - 1 - 1 - 1 - 1) / (16 - 1 - 1 - 1) = 12 / 13
To find the probability that you are not one of the first four students chosen, we multiply these probabilities together:
(15/16) x (14/15) x (13/14) x (12/13) = 0.75
Therefore, the probability that you are not one of the first four students chosen is 0.75 or 75%.
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Please help me on this
Answer:
\(5.4 \times {10}^{ - 17} {m}^{2} \)
\(s = \frac{1}{2} \times 3.6 \times10^{ - 9} \times 3 \times {10}^{ - 8} = 5.4 \times {10}^{ - 17} {m}^{2} \)
Use polar coordinates to find the volume of the given solid.
Below the cone z = √x² + y² and above the ring 1 ≤ x² + y² ≤ 64
To find the volume of the given solid using polar coordinates, we integrate the function over the appropriate range of values for the radial coordinate and the angle.
The given solid consists of a cone and a ring in the xy-plane. The cone is defined by the equation z = √(x² + y²), which represents a right circular cone with its vertex at the origin and opening upwards. The ring is defined by the inequality 1 ≤ x² + y² ≤ 64, which represents a circular region centered at the origin with an inner radius of 1 unit and an outer radius of 8 units.
To evaluate the volume using polar coordinates, we can express the equations in terms of the radial coordinate (r) and the angle (θ). In polar coordinates, the cone equation becomes z = r, and the ring equation becomes 1 ≤ r² ≤ 64. To set up the integral, we need to determine the range of values for r and θ. For the radial coordinate, r ranges from 1 to 8, as that corresponds to the region defined by the ring. For the angle θ, we can integrate from 0 to 2π, covering a full revolution around the origin.
The volume integral is then given by V = ∫∫∫ r dz dr dθ over the region defined by 1 ≤ r² ≤ 64 and 0 ≤ θ ≤ 2π. By evaluating this triple integral, we can find the volume of the solid.
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One mechanic services 4 drilling machines for a steel plate manufacturer. Machines break down on an average of once every 4 working days, and broakdowns tend to Poisson distribution. The mechanic can handie an average of one repair job per day. Repairs follow a negative exponential distribution: a) On the average, how many machines are waiting for service? The average number of machines waiting for service is (Round your response to three decimal places.)
Therefore, the average number of machines waiting for service is 0.083 (rounded to three decimal places).
To calculate the average number of machines waiting for service, we can use the concept of the M/M/1 queue, where arrivals follow a Poisson distribution and service times follow a negative exponential distribution.
In this case, the arrival rate (λ) is 1 breakdown every 4 working days, and the service rate (μ) is 1 repair job per day.
The utilization factor (ρ), which represents the system's utilization, can be calculated as ρ = λ/μ = (1/4)/(1) = 1/4.
The average number of machines waiting for service (Lq) can be calculated using the formula Lq = ρ² / (1 - ρ).
Plugging in the values, we have Lq = (1/4)²/ (1 - 1/4) = 1/12.
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A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.
The median number of newspapers sold over seven weeks is 223.
The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.
The formula for the median is as follows:
Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)
We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288
The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.
Median = (215 + 231)/2
= 446/2
= 223
In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.
Hence, the median number of newspapers sold over seven weeks is 223.
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Apply the distributive property to factor out the greatest common factor.
4+10=
4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)
These statements describe Kate's and Pete's speed. Kate is driving 5 miles per hour below the speed limit. Pete is driving 7 miles per hour below the speed limit. Complete this sentence. Kate's speed is _____than Pete's speed because _____
Kate is driving 5 miles per hour below the speed limit
Speed of Kate = 5miles per hour
Pete is driving 7 miles per hour below the speed limit.
Speed of Pete = 7 miles per hour
Difference between the speed of Kate and Pete is = Speed of Pete - Speed of Kate
Difference between the speed of Kate and Pete = 7 miles per hour- 5 miles per hour
Difference between the speed of Kate and Pete = 2 miles per hour
Since, 7 > 5
Speed of Pete > Speed of Kate
Answer :
Kate's speed is lesser than Pete's speed because Pete is moving faster by 2 miles per hour than Kate
Trina Martinez Sells office furniture. She is guaranteed a minimum salary of $1,500 per month plus a commission of 6.5% of her total sales. What are Trina's total sales for a month in which her gross pay was $2,702.50?
Answer:
the total sales is $18,500
Step-by-step explanation:
Given that
She guaranteed a minimum salary of $1,500 per month plus a commission of 6.5% of total sales
Her gross pay was $2702.50
So, The total sales be
$2,702.50 = $1,500 + 6.5% of the total sales
Hence, the total sales is $18,500
The same would be considered and relevant
Is a percent a ratio?
Describe using 1 complete sentence.
Answer:
Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100. In a box of eight donuts two have pink sprinkles. ... Fractions, percent and decimals can all represent the same number, but they are expressed differently.
Step-by-step explanation:
i hope this is what u are looking for
simplify ( combine like terms )
Answer:
4a+6
Step-by-step explanation:
a+2+3a+4
4a+6
HELP ASAP
Factor h²+6h-27 . The factored expression is...
Answer:
(h+9)(h-3)
Step-by-step explanation:
The 6 can be made from factoring -27 into -3 and 9
help pls asap i be grateful
Answer: number a
Step-by-step explanation:4 times 2 is 8 8 times 2 is 16
a rectangular prism has a length of 2 3/4 feet, a width of 4 1/2 feet, and a height of 6 inches. what is the volume of the prism in the cubic inches?
Answer:
10692 cubic inches
Step-by-step explanation:
Since we are told to give the units in inches, let's convert the two values which are in feet.
1 ft= 12 inches
thus,
length 2.75 ft. = 33inch
breadth 4.5 ft. = 54 inch
and height is 6 inches.
Volume of a cube= length × width × height
= 33 × 54 × 6
= 10692 cubic inches
The angles in a quadrilateral ABCD are A(3x+10), B(3x+4), C(x+50) and D(5x+8). Find the angles of the quadrilateral ABCD
please answer it fast..thank u
Answer:
A 8º
B 76º
C 74º
D 128º
Step-by-step explanation:
The sum of the angles is 360
(3x + 10) + (3x + 4) + (x + 50) + (5x + 8) = 360
Combine like terms
12x + 72 = 360
Subtract 72 from both sides
12x = 288
Divide both sides by 12
x = 24
--------------
A (3x+10) = 3*24 + 10 = 82
B (3x+4) = 3*24 + 4 = 76
C (x+50) = 24 + 50 = 74
D (5x+8) = 5*24 + 8 = 128