The components of a well-run incentive compensation scheme include all of the following EXCEPT a. performing random acts of kindness to employees b. avoiding rewards for outcomes that are not included in the performance measures c. rewarding workers who for meet performance measures d. identifying the relevant measures on which to evaluate employees
Answers
The components of a well-run incentive compensation scheme include all of the following EXCEPT The correct answer is a. performing random acts of kindness to employees.
The components of a well-run incentive compensation scheme typically include the following:
b. Avoiding rewards for outcomes that are not included in the performance measures: It is important to align the rewards with the specific performance measures that are relevant to the job or role. This helps ensure that the incentives are directly tied to desired outcomes and encourage employees to focus on achieving those outcomes.
c. Rewarding workers who meet performance measures: Incentive compensation schemes aim to reward employees who meet or exceed performance measures or targets. This provides motivation for employees to strive for high performance and achieve specific goals or targets set by the organization.
d. Identifying the relevant measures on which to evaluate employees: An effective incentive compensation scheme requires identifying the key performance indicators (KPIs) or measures that accurately reflect the employee's contribution and performance. These measures should be specific, measurable, achievable, relevant, and time-bound (SMART) to ensure clarity and fairness in evaluating employee performance.
However, performing random acts of kindness to employees is not a typical component of an incentive compensation scheme. While employee recognition and rewards for outstanding performance may be part of a comprehensive employee engagement strategy, they are not directly related to incentive compensation schemes that focus on linking rewards to specific performance measures or targets.
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Related Questions
Jaiden is in 6th grade and plans to attend college. He has created a college preparation plan. 1. He will fill out the FAFSA form and send it in immediately. 2. He will ask his parents if they have a college savings account. 3. When he gets to high school, he will start trying harder in school so he can qualify for academic scholarships. 4. During his last year of high school, he will get involved in sports and clubs he enjoys to qualify for scholarships. 5. Upon graduation, he will start saving money for college. Which statements identify errors in Jaiden’s plan? Check all that apply. He should wait until his last year in high school to fill out the FAFSA. He should start saving right away. It is never too early to start a savings account. He should work hard throughout middle school and high school or it might be too difficult for him to excel later, since bad habits are hard to break. He should try different sports and clubs in middle school and early high school. Then he should pick his favorites and invest more time in them. While in high school, he should quit all extracurricular activities so he can work more hours and save money. He should ask all his friends and neighbors to contribute to his college fund so it will grow faster.
Answers
Answer:
-He should wait until his last year in high school to fill out the FAFSA.
-He should start saving right away. It is never too early to start a savings account.
-He should work hard throughout middle school and high school or it might be too difficult for him to excel later, since bad habits are hard to break.
-He should try different sports and clubs in middle school and early high school. Then he should pick his favorites and invest more time in them.
Explanation:
Answer:
1
4
5
I did the test and pretty sure i got it correct
If your answer is zero, enter "O". a. Under a 2017 divorce agreement, Joan is required to pay her ex-husband, Bill, $2,340 a month until their daughter is 18 years of age. At that time, the required payments are reduced to $1,638 per month 1. How much of each $2,340 payment may be deducted as alimony by Joan? 2. How much of each $2,340 payment must be included in Bill's taxable income? 3. How much would be deductible/included if the divorce agreement were dated 2019? b. Under the terms of a property settlement executed during 2018, Jane transferred property worth $577,350 to her ex-husband, Tom. The property has a tax basis to Jane of $461,880 1. How much taxable gain must be recognized by Jane at the time of the transfer? 2. What is the amount of Tom's tax basis in the property he received from Jane?
Answers
Answer:
$2,400 in 2019 are deductible as alimony.
Step-by-step explanation:
Hillary get divorced in the year = 2016
She has to pay her ex-spouse $200 per month until her son reaches 18 years of age in 7 years.
His son will reach of the age of 18 = 2016 + 7 = 2023
She has to pay $200 till 2023 and $120 thereafter.
Her payments are deductible as alimony in 2019 would be = $200 × 12
= $2,400
$2,400 in 2019 are deductible as alimony.
$2,400 in 2019 are deductible as alimony.
Hillary get divorced in the year = 2016
She has to pay her ex-spouse $200 per month until her son reaches 18 years of age in 7 years.
His son will reach of the age of 18 = 2016 + 7 = 2023
She has to pay $200 till 2023 and $120 thereafter.
Her payments are deductible as alimony in 2019 would be = $200 × 12 = $2,400
What is an alimony?Alimony is a legal obligation on a person to provide financial support to their spouse before or after marital separation or divorce. The obligation arises from the divorce law or family law of each country. The purpose of alimony is to limit any unfair economic effects of a divorce by providing a continuing income to a non-wage-earning or lower-wage-earning spouse.
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A useful clue about an organization's culture is Multiple Choice
O found by seeing who is hired and who is fired,
O the industrial environment
O the macroenvironment
O environmental scanning
O information printed in the media
Answers
A useful clue about organization's culture is environmental scanning.
What is environmental scanning?The practice of learning more about the happenings and how they relate to the internal and external surroundings of the company is known as environmental scanning. Environmental scanning is mostly used to assess corporate organizations' future prospects. The Environmental Scanning Committee assists management in making decisions based on an in-depth analysis of previous events to forecast future events, which makes it a valuable resource for management. The committee also helps management connect with other staff members who have the requisite skills to provide trustworthy data for decision-making, assess action plans and set up the resources for those plans, and build action plans to cope with these upcoming occurrences.
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key characteristics of the maturity stage are which two of the following? multiple select question. marketing costs are directed at holding market share. intense competition on price occurs. buyers enter the market at a rapid pace. many new competitors enter the market. revenues begin to increase rapidly.
Answers
The key characteristics of the maturity stage are :
intense competition on price occurs.marketing costs are directed at holding market share.What is the maturity stage of the product life cycle?The maturity stage can be described as the stage in the product life cycle which is the stage that can b found after the introduction and growth stages.
It should be noted that this maturity stage serves as the stage that is been considered as the longest stage that can be attributed to the product life cycle.
In conclusion, in this stage in the organization or the firm, the sales growth begins to decline because as at this stage the production as well as the selling of the goods as well as the services will now be at its peak as a result of this there will be no available new customer to patronize and the production of the goods will be at the stage where there will be no improvement and there will be no increase of profit in the organization.
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Salaries are an ____.
A. Asset
B. Expense
C. Neither
Thanks!
Answers
Answer:
c neither welcome have a great day
how much will $1,000 invested at the end of each year grow to in 20 years, assuming an interest rate of 10ompounded annually? (fv of $1, pv of $1, fva of $1, and pva of $1)
Answers
If $1,000 invested at the end of each year grow to in 20 years, assuming an interest rate of 10 compounded annually then the future value of the investment would be approximately $38,337.75.
To calculate the future value of an investment, we can use the formula for future value of an annuity (FVA). The formula is:
FV = P × [(1 + r)^n - 1] / r
Where:
FV = Future value
P = Payment (amount invested at the end of each year)
r = Interest rate per period
n = Number of periods
In this case, we have an annual payment of $1,000, an interest rate of 10% compounded annually, and a duration of 20 years. Plugging these values into the formula, we can calculate the future value:
FV = 1000 × [(1 + 0.10)^20 - 1] / 0.10
Calculating this expression, the future value of the investment would be approximately $38,337.75.
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What type of transactions should be recorded in the Payment, Fee, Withdrawal column
of your check register?
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The GUI is an index used by the OS to manage computer files,
O False
O True
Answers
Answer: I think it's true
DECISION MAKING Suppose the Tracers decide they want to adjust their budget
so they can save for a special summer vacation that will cost $5,000. How would
you suggest they go about revising their budget to meet their goal?
Answers
Explanation:
The tracers will have to adjust their budget before planing for a summer vacation for that they will have to be saving $1000 each every month .To revive their budget to meet their goal they will have to be planing their budget every day like $50
Steps:
Select two news headlines, one from each column. You will create one graph to show a change in demand and one graph to show a change in supply.
Demand (TRIBE)
Select one:
"As more Americans hold on to older vehicles longer, oil and tire change service shops see boom in profits."
"Influencers claim orange juice cured their insomnia; claim leaves doctors scratching their heads and store cases looking bare."
"U.S. birthrate continues to drop, signaling a colicky future for makers of baby products."
Select one: Supply (ROTTEN)
"Semiconductor chip shortage woes: automobile manufacturers warn of delays in production and higher prices."
"Safer, faster milk for less: dairy leaders describe improved production process."
"Social media campaigns increase shelter adoptions; breeders report giving up the puppy business."
Draw your graphs. Draw a basic market graph for each headline you chose. You should have two graphs, where each focuses on one product market. Title eac
h graph with the market for the product affected in your news headline, such as "Market for Orange Juice." In each graph, label the axes, curves, equilibrium price "Pe," and equilibrium quantity "Qe."
Note: The headlines you chose might reference or imply more than one good or service. However, you will interpret the impact on just one product market for each headline. As long as your graphs are reasonable for your chosen headlines, your work should be acceptable.
Add the shift in each graph. Draw a new curve on each of your graphs to reflect the shift in either supply or demand. Label it D1 or S1, accordingly. Label the new equilibrium price P1 and the new equilibrium quantity Q1. Add arrows to show the direction of the changes in the curve, price, and quantity.
Explain the outcomes. In a complete paragraph for each graph, explain how your graph illustrates the news event. Describe what changed and why. Include the one element of either TRIBE or ROTTEN that best explains
the shift. Describe how this led to the market outcomes for equilibrium price and quantity. You will have two paragraphs, one for each graph.
Submit your work. This includes your graph images and two typed paragraph explanations.
Answers
Answer:"As more Americans hold on to older vehicles longer, oil and tire change service shops see boom in profits."
"Influencers claim orange juice cured their insomnia; claim leaves doctors scratching their heads and store cases looking bare."
Explanation:
The demand for orange juice rises due to influencers' claims, leading to an increase in price and quantity demanded in the market. On the other hand, the supply of semiconductor chips decreases due to a shortage, leading to a rise in price and a decrease in quantity supplied in the market.
Explanation:For the demand side, let's consider the headline: 'Influencers claim orange juice cured their insomnia; claim leaves doctors scratching their heads and store cases looking bare.' This suggests a rise in the popularity of orange juice due to the influencers' claim. We expect this to increase the demand for orange juice. In the demand graph titled 'Market for Orange Juice', the demand curve shifts to the right from D to D1, indicating an increase in demand. The new equilibrium price (P1) and quantity (Q1) are higher than the initial equilibrium price (Pe) and quantity (Qe). This is an example of a change due to TRIBE (Tastes), as the taste and preferences of consumers have shifted due to the influencers' claim. For the supply side, consider the headline: 'Semiconductor chip shortage woes: automobile manufacturers warn of delays in production and higher prices.' This suggests a decrease in the supply of semiconductor chips. In the supply graph titled 'Market for Semiconductor Chips', the supply curve shifts to the left from S to S1, indicating a decrease in supply. The new equilibrium price (P1) is higher, and the new equilibrium quantity (Q1) is lower than the initial equilibrium price (Pe) and quantity (Qe). This is an example of change due to ROTTEN (Resources), as resources (semiconductor chips) have become scarcer.
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How are college costs different based on the type and location of the school you choose as well as
your room and board arrangement?
Answers
Answer:
If you choose a private university, chances are your tuition is going way up. Prestigious university with accredited programs can also be a bit pricey. Same thing goes for Ivy league schools. Community colleges are relatively inexpensive anywhere you go. Universities in big cities often have a higher tuition if you're considering location. Room and board arrangements differ. If you choose to live on campus in a basic dorm the expense won't be too bad. Colleges could also have the option of off campus housing which is way more expensive and they have different rooms you can choose from. Meal plans are also included in room and board so that's something to consider.
Explanation:
Suppose that Cleveland Co. engages in international business, with transactions denominated in four different foreign currencies: the euro, the Canadian dollar, the Australian dollar, and the Mexican peso. The company wishes to measure its cash flows in a single currency, the dollar, over the next quarter. The following table shows the total cash inflows and outflows for each currency, along with the expected exchange rate for that currency. For each row in the table, enter the net inflow or outflow in that currency for the MNC. Then, enter the dollar value of that inflow or outflow in the last column of the table. Note: Remember to enter a negative sign if a value is negative. Total Net Inflow or Total Inflow (Millions) Outflow Outflow (Millions) Expected Exchange Rate Net Inflow or Outflow, In Dollars (Millions) Currency (Millions) Euro 22 euros 16 euros euros $1.50 $ Canadian Dollar $C20 $C10 C$ $0.70 $ Australian Dollar $A10 $A20 A$ $0.50 $ Mexican peso 20 pesos 30 pesos peso $0.10 Grade Step 1 TOTAL SCORE: 0/2 (to complete this step and unlock the next step)
Answers
The total net inflow for the quarter is $8 million ($9M + $10M - $10M - $1M), indicating a positive cash flow for Cleveland Co. in its international business transactions.
Cleveland Co. is engaging in international business with transactions in four foreign currencies: euro, Canadian dollar, Australian dollar, and Mexican peso. To measure its cash flows in a single currency, the company wishes to convert all inflows and outflows to dollars over the next quarter.
Using the exchange rates provided, we can calculate the net inflow or outflow for each currency and its dollar value.
For the euro, the net inflow is 6 euros, which equals $9 million (6 x 1.50). For the Canadian dollar, the net inflow is $10 million ($C20 - $C10), and for the Australian dollar, the net outflow is $10 million ($A10 - $A20). Finally, for the Mexican peso, the net outflow is 10 pesos, which equals $1 million (10 x 0.10).
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Question 1 of 10: after analyzing your menu, you find that food sales are $1,200 and beverage sales are $800. Your average gross margin for food and beverage is 67%. Which is more profitable, food or beverage? a) food b) beverage c) they are the same d) can't tell from the data
Answers
The gross profit for food is $804, which is higher than the gross profit for beverages, which is $536. Therefore, the answer is option (A) food is more profitable.
To determine which is more profitable between food and beverages, we need to calculate the gross profit for each category. Gross profit is the difference between revenue and the cost of goods sold (COGS), expressed as a percentage of revenue. The formula for gross profit margin is:
Gross Profit Margin = (Revenue - COGS) / Revenue x 100%
Given that the average gross margin for both food and beverages is 67%, we can assume that the COGS for each category is 33% of the sales price. Therefore, we can calculate the gross profit for food and beverage as follows:
Gross Profit (Food) = $1,200 x 67% = $804
Gross Profit (Beverage) = $800 x 67% = $536
Based on this calculation, we can see that food is more profitable than beverages. It's important to note that this analysis is based solely on the given information, and there may be other factors that affect profitability, such as the cost of labor, overhead costs, and other expenses. However, based on the information provided, we can conclude that food is more profitable than beverages.
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Fresh fish is not an effective form of money. What essential characteristic of money does fresh fish lack that most makes it ineffective
Answers
Answer:
Medium of exchange
Explanation:
Fresh fish is not an effective form of money. Fresh fish lacks medium of exchange, which makes it ineffective.
What effects did zaha have on guggenheim new york?
Answers
The effects that Zaha had on Guggenheim New York is that her current retrospective at the Solomon R. Guggenheim Museum in New York gives ample evidence of her genius. She has been busy and produced a staggeringly impressive body of work that is without equal for its inventiveness. This saved urban space and merges the elements of its surroundings. It also projects a brand new artificial landscape outweighted by funnel-shaped cones. The Solomon R. Guggenheim Museum, often referred to as The Guggenheim, is an art museum at 1071 Fifth Avenue on the corner of East 89th Street on the Upper East Side of Manhattan in New York City.
Who is Zaha Hadid?Dame Zaha Mohammad Hadid DBE RA was a British-Iraqi architect, artist and designer, recognised as a major figure in architecture of the late 20th and early 21st centuries.
Therefore, the correct answer is as given above
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What defines the process by which a procurement can be modified?
Answers
Procurement modification refers to the process of altering a procurement contract.
The first step in the procurement modification process is to identify the need for the modification. This may be initiated by either the procuring entity or the contractor, & may involve a change in the scope of work, the delivery date, or other contractual terms.
Once the need for modification has been identified, the parties involved in the contract must negotiate the terms of the modification, including any changes to the contract price, delivery schedule, or other contractual obligations.
The next step is to obtain the necessary approvals for the modification. This may involve seeking approval from senior management or the governing body responsible for overseeing the procurement process.
Depending on the size & complexity of the procurement, this approval process may involve multiple levels of review & approval.
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why is international improvement important
Answers
Answer:
Because they have farts
Explanation:
its mindness
PLZ HELP
How are budgets different from other financial statements?
1. Budgets must be stored in a safe deposit box.
2. Budgets are available at any financial institution.
3. Budgets focus on future spending.
4. Budgets include details from past accounts.
Answers
Budgets are estimates prepared for a future period of time based on past information. Hence, Option 3 is the correct statement.
What do you mean by Budget?A budget is an estimate of revenue and expenses for a given future period of time that is typically compiled and re-evaluated on a regular basis.
Thus, Budgets are estimates prepared for a future period of time based on past spending activity. Hence, Option 3 is the correct statement.
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Assembly department of Zahra Technologies had 100 units as work in process at the beginning of the month. These units were 50% complete. It has 200 units which are 25% complete at the end of the month. During the month, it completed and transferred 500 units. Direct materials are added at the beginning of production. Conversion costs are allocated evenly throughout production. Zahra uses weighted-average process-costing method.
What is the number of equivalent units of work done during the month for direct materials? (HINT: The answer is 700 units, but I need work to support it)
Answers
Answer: 700
Explanation:
The number of equivalent units of work done during the month for direct materials will be:
Completed and transferred units = 500
Ending work in process inventory = 200
Number of equivalent units = 500 + 200 = 700
Someone has shared some information with you without proof, therefore you dismiss it as a __________. Later on that day, you hear others repeating the information, you now realize that everyone involved in sharing the unofficial information, has become a part of the _________________.
Answers
Answer: Rumors
Explanation: i had this topic last year
using the square root of n rule for inventory from chapter 15, what is the suggested safety stock for fareway brand whipped topping if fareway moves from 1 to 2 warehouses? (round up to whole number)
Answers
The suggested safety stock for Fareway brand whipped topping when moving from 1 to 2 warehouses is 2 units (rounded up from 1.414).
To calculate the suggested safety stock using the square root of the n rule, we need to determine the square root of the ratio of the new number of warehouses to the old number of warehouses.
In this case, Fareway is moving from 1 to 2 warehouses. So, the ratio of new to old warehouses is 2/1 = 2.
Now, we take the square root of this ratio:
The square root of 2 ≈ 1.414
Finally, we round up the square root value to the nearest whole number to determine the suggested safety stock.
Therefore, the suggested safety stock for Fareway brand whipped topping when moving from 1 to 2 warehouses is 2 units (rounded up from 1.414).
Please note that the square root of the n rule is a simplified method for estimating safety stock and may not capture all factors that could influence the optimal safety stock level.
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Logo and website design are
examples of start-up costs.
Answers
True: Logo and website design are examples of start-up costs. Operating costs include payroll. Building improvements should be calculated into start-up costs.
List qualities a good manager should have. What are the advantages and drawbacks of being in a position of authority?The qualities of a good manager are:The advantages of being a manager are:The drawbacks of being a manager are:
Answers
Which career do you think it would be most difficult to break into and why?
Answers
Answer:
Professional athlete
Explanation:
A lot of work and not a lot of free-time.
Nursing is an incredibly stressful career. ... In fact, stress and burnout affect 10-70% of nurses.
Penny Francis inherited a $200,000 portfolio of investments from her grandparents when she turned 21 years of age. The portfolio is comprised of Treasury bills and stock in Ford (F) and Harley Davidson (HOG): LOADING.... a. Based on the current portfolio composition and the expected rates of return, what is the expected rate of return for Penny's portfolio? b. If Penny wants to increase her expected portfolio rate of return, she can increase the allocated weight of the portfolio she has invested in stock (Ford and Harley Davidson) and decrease her holdings of Treasury bills. If Penny moves all her money out of Treasury bills and splits it evenly between the two stocks, what will be her expected rate of return? c. If Penny does move money out of Treasury bills and into the two stocks, she will reap a higher expected portfolio return, so why would anyone want to hold Treasury bills in their portfolio?
Answers
Answer:
the expected returns are missing, so I looked for a similar question:
Treasury bills 4.5% $80,000
Ford (F) 8.0% $60,000
Harley Davidson (HOG) 12.0% $60,000
a) portfolio's expected return = (4.5% x $80,000) + (8% x $60,000) + (12% x $60,000) = $15,600
b) new portfolios expected return = (8% x $100,000) + (12% x $100,000) = $22,000
c) to lower risk. Treasury bills pay a low return but they are risk free investments. While stocks yield a higher return but they also carry a much higher risk.
match 5 source documents to their subsidiary books
Answers
Conducting a search of the store is part of store closing duties. Why?
Answers
1. Everything is in place
If things are not in place in a store, things would be very messy when opening the store the next day. Conducting a search of the store to see if everything is in place also ensures that no merchandise was stolen, and if so, persecution would be followed through with accordingly.
2. There is nobody trespassing/lurking
Conducting a search of the store is part of store closing duties because it assures workers that nobody is lurking in the shadows or intruding without the attention of any employee. Trespassing is illegal in most places, and it is a severe felony in some places. Whenever a store attendant is unaware of somebody who is in the store without permission, countless things can happen that do not work in favor of benefitting the business. However, conducting a search of the store during closing time would eliminate this concern.
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A coin sold at auction in 2019 for $3,752,000. The coin had a face value of $10 when it was issued in 1793 and had been previously sold for $190,000 in 1970. a. At what annual rate did the coin appreciate from its first minting to the 1970 sale? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What annual rate did the 1970 buyer earn on his purchase? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) c. At what annual rate did the coin appreciate from its first minting to the 2019 sale? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Answers
The antique coin that has a face value of $10 when it was issued in 1793 was sold at auction in 2019 for $3,752,000.
To calculate the annual rate of appreciation from its first minting to the 1970 sale, the formula for the compound annual growth rate (CAGR) was used. The CAGR was found to be 8.97%. This means that the value of the coin increased by approximately 8.97% annually from 1793 to 1970.
On the other hand, to calculate the annual rate of return earned by the 1970 buyer, the formula for the annual rate of return was used. The annual rate of return was calculated to be 6.66%. This means that the 1970 buyer earned a 6.66% return on his investment annually from the time of purchase to the 2019 sale. Lastly, to calculate the annual rate of appreciation from its first minting to the 2019 sale, the same formula for CAGR was used. The CAGR was found to be 8.98%. This means that the value of the coin increased by approximately 8.98% annually from 1793 to 2019.
In summary, the antique coin had a face value of $10 when it was issued in 1793. It was sold at auction in 2019 for $3,752,000. The annual rate of appreciation from its first minting to the 1970 sale was found to be 8.97%, while the annual rate of return earned by the 1970 buyer was 6.66%. Lastly, the annual rate of appreciation from its first minting to the 2019 sale was found to be 8.98%. These calculations indicate the tremendous growth in the value of the coin over the years, making it an exceptional investment opportunity.
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Cain Company reports net cash provided by operating activities of $35,000. It also reports the following information under “Adjustments to reconcile net income to net cash provided by operating activities” on its statement of cash flows (using the indirect method).
Answers
It can be seen from the solutions given that Cain's net income is $24,000.
Here is the solution:Net income = Net cash provided by operating activities - Adjustments
= $35,000 - $6,000 - $10,000 + $4,000 + $7,000 + $4,000
= $24,000
Therefore, Cain's net income is $24,000.
Here is a breakdown of the adjustments:
To determine cash flow from operations, it is necessary to include the gain on equipment sales in the net income as it is a non-cash entry.
A rise in accounts receivable implies that customers are prolonging payment of their invoices, resulting in decreased cash flow from the company's activities.
The depreciation expense is classified as a non-cash expense, hence it must be included in the calculation of cash from operations by adding it back to the net income.
A decrease in inventory indicates that the company is experiencing faster turnover of its inventory, leading to increased cash flow generated by its operations.
A rise in prepaid expenses denotes that the company is channeling more funds towards prepaid expenditures like insurance and rent, implying a reduced cash inflow from its operational activities.
A decline in the amount of wages that the company owes indicates that it is not promptly compensating its workforce. Consequently, this implies that the company's operational cash flow is reduced.
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Suppose a cone and a cylinder both have congruent circular bases and congruent heights. How many times larger is the volume of the cylinder than the cone
Answers
To determine how many times larger the volume of the cylinder is compared to the cone, we need to consider their respective formulas for volume.
The volume of a cone is given by the formula:
V_cone = (1/3) * π * r^2 * h,
where π is the mathematical constant pi (approximately 3.14159), r is the radius of the cone's base, and h is the height of the cone.
The volume of a cylinder is given by the formula:
V_cylinder = π * r^2 * h,
where π is the mathematical constant pi, r is the radius of the cylinder's base, and h is the height of the cylinder.
Given that the cone and the cylinder have congruent circular bases and congruent heights, this means that they have the same radius (r) and height (h). Therefore, we can simplify the comparison of their volumes.
Let's denote the volume of the cylinder as V_cylinder and the volume of the cone as V_cone.
Since the radius (r) and height (h) are the same for both shapes, we can cancel them out when comparing the volumes:
V_cylinder / V_cone = (π * r^2 * h) / [(1/3) * π * r^2 * h].
Canceling out the common factors:
V_cylinder / V_cone = (3 * π * r^2 * h) / (π * r^2 * h).
Now, simplifying further:
V_cylinder / V_cone = 3.
Therefore, the volume of the cylinder is three times larger than the volume of the cone when they have congruent circular bases and congruent heights.
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