Answer:
The correct answer is Zone pricing.
Explanation:
In marketing, the term "price zone" is known as the practice of pricing prices for a product or service differentiated by geographical areas or regions. Generally, the price zone is established taking into account different factors such as logistics, purchasing power, zonal competition, etc.
In the logistics area it refers to the calculation of the value of a package or merchandise, taking into account the distance, size and urgency of the shipment.
A manufacturing firm identified that it would have difficulty sourcing raw materials locally, so it decided to relocate its production facilities. According to COSO, this decision represents which of the following responses to the risk?
Answer:
Risk reduction
Explanation:
The Committee of Sponsoring Organizations (COSO) developed an Integrated Framework for evaluating internal controls. The latest version (2017) is called the Enterprise Risk Management Integrated Framework. It is an updated version of the original framework developed in 1992.
Risk reduction is one of the four ways the COSO framework deals with potential risks. The company should take actions to reduce risk. Since it is difficult to avoid risk, sometimes it is better to just take action to reduce it.
In this case, the manufacturing firm knows it will face a lot of problems and potential risks due to a lack of availability of raw materials, so it will move its facilities to a place where raw materials are easily available.
When a certain competitive firm produces and sells 100 units of output, marginal revenue is $80. When the same firm produces and sells 200 units of output, what is average revenue? a. $40 b. $80 c. $160 d. This cannot be determined from the given information.
Answer:
d. This cannot be determined from the given information
Explanation:
To find the average revenue of 200 units it is necessary to know the total units. However, the function of the marginal revenue is not given. It is impossible to infer the marginal revenue (price) of other units (of output) only from knowing the marginal revenue of the 100th unit.
________ involve the flow of merchandise through distribution channels, usually across international borders, other than those authorized or intended by the manufacturer or producer.
a. Chargebacks
b. Lift-outs
c. Gray-market goods
d. Exclusive dealing arrangements
e. Reverse auctions
Answer:
The correct answer is (C)
Explanation:
Gray market refers to items that are sold lawfully, however outside of the brand's consent. These items can hurt associations with wholesalers and harm item notoriety. Basic Gray market products incorporate cameras, vehicles, watches and even pharmaceuticals. At the point when a wholesaler or retailer is left with overabundance or old stock, they can decide to auction the stock at limited costs to different vendors. Those vendors then sell it in gray market, such goods, are called gray market goods
Net Steels is a steel manufacturing company. It orders 180 metric tons of raw material per order. It was observed that the company often faces stockout. To tackle this issue, the company incorporated a fixed-quantity system (FQS) and collected the following data. Demand 11,000 metric tons per year Order Cost $18,000 per order Item Cost $36,000 per year Inventory-Holding Cost 20 percent per year Using the data, Net Steels determined that the economic order quantity (EOQ) should be 235 metric tons. In this scenario, the annual amount that Net Steels can save by ordering as per the EOQ instead of its conventional order is________.a. more than $45,000 but less than or equal to $55,000.b. more than $65,000.c. less than $45,000.d. more than $55,000 but less than or equal to $65,000.
Final answer:
To calculate the annual amount that Net Steels can save by ordering as per the economic order quantity (EOQ), we compare the total cost of the conventional order with the total cost of the EOQ. The annual amount saved is the difference between the two costs.
Explanation:
To calculate the annual amount that Net Steels can save by ordering as per the economic order quantity (EOQ), we first need to calculate the total cost of ordering as per the conventional order and the total cost of ordering as per the EOQ.
For the conventional order:
Number of orders = Total demand / Quantity per order = 11,000 / 180 = 61.11 orders (rounded to 61)
Total cost = (Number of orders × Order Cost) + (Total demand × Item Cost × Inventory-Holding Cost)
Total cost = (61 × $18,000) + (11,000 × $36,000 × 0.20) = $1,098,000 + $79,200,000 = $80,298,000
For the EOQ:
Total cost = (Total demand × Item Cost × Inventory-Holding Cost) = 11,000 × $36,000 × 0.20 = $79,200,000
The amount saved by ordering as per the EOQ instead of the conventional order is the difference between the total costs:
Amount saved = Total cost (Conventional order) - Total cost (EOQ) = $80,298,000 - $79,200,000 = $1,098,000
Therefore, the annual amount that Net Steels can save by ordering as per the EOQ instead of its conventional order is less than $45,000 (option c).
Achieving the goal of price stability with low and steady inflation allows the Fed to achieve other goals, such as stable interest rates and stable foreign exchange rates. If the Fed fails to achieve low and steady inflation, why will it be hard to achieve stable interest rates? A. Because the real interest rate includes an inflation premium. B. Because high inflation leads to tremendous decreases of nominal interest rates. C. Because low inflation leads to tremendous increases of nominal interest rates. D. Because the nominal interest rate includes an inflation premium.
Answer:
The correct answer is D. Because the nominal interest rate includes an inflation premium.
Explanation:
If the prices of many of the items we buy go up, we lose purchasing power. In other words, with the money we have - income and savings - we cannot buy as much as before. This can trigger an upward spiral of prices. If everything becomes more expensive, we may have to request a salary increase from our company. To finance the increase in staff salaries, the company could react by raising its prices. If this happens in many companies, the prices of many items will rise more, which will feed the spiral. This situation makes planning savings and investments more difficult for individuals and businesses. In the face of a rapid loss of value, the public can lose confidence in the currency. These are just a few examples of the negative effects of high inflation rates.
An individual's ecological footprint is equivalent to the:
a.total amount of food consumed by that individual.
b.total amount of energy used by that individual.
c.total amount of carbon emissions from that individual's car.
d.amount of land required to provide all the resources used by that individual.
e.All of these choices are correct.
Answer: option D is correct
Explanation:
This is the biologically productive land that can sustain the individuals activities. It takes into account resources needed to produce goods and clean up it's waste.
An individual's ecological footprint is the total amount of land required to provide all the resources they use, and to absorb their waste. It is a comprehensive measure encompassing all areas of resource consumption and waste generation. In short, it reflects the true environmental impact of our lifestyle.
Explanation:An individual's ecological footprint refers to much more than simply the food they consume, the energy they use, or the emissions from their vehicles. It is a comprehensive measure that is most accurately represented as the amount of land required to provide all the resources (like food, water, energy) used by that individual, and to absorb the waste they generate. Therefore, the correct answer to your question is d. amount of land required to provide all the resources used by that individual.
This footprint is equivalent to how much of the Earth's resources we use and how much waste we create compared to how much the planet can regenerate and absorb. If everyone lived like an average American, we would need five Earths to support us!
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"The customer is always right" explains Select one: a. All of the above are correct. b. persistent wage discrimination based on consumer preferences. c. compensating differentials. d. the higher wages paid to members of a union.
Answer:
A, all of the above are correct.
Which NIMS Management Characteristic may include gathering, analyzing, and assessing weather service data from technical specialists?
A. Management by Objectives
B. Incident Facilities and Locations
C. Integrated Communications
D. Information and Intelligence Management
Answer:
Information and intelligence management
Explanation:
NIMs which stands for national incident management system. it is a system that direct all sort of organisation whether is is government, private or non government to work for prevention , respond to any incident occurs.
it is collective effort from all above organisation for prevention of any incident.
Information and intelligence management is one main characteristics of NIMS which gather all important information regarding any incident.
five steps of this characteristics are
planning and direction of work
collection of raw information
processing work
analysis of information
and circulation of information through various source
The velocity of money is defined as A) real GDP divided by the money supply. B) nominal GDP divided by the money supply. C) real GDP times the money supply. D) nominal GDP times the money supply.
Answer:
B) nominal GDP divided by the money supply.
Explanation:
Velocity of money calculates the rate of turnover of money. It calculates how fast money changes hands.
Velocity = (price × agregrate output ) / money supply
Velocity = Nominal GDP / Money supply
If velocity is 2, it means the dollar is usually spent two times in purchasing goods and services.
Bingerton Industries uses a perpetual inventory system. The company began the year with inventory of $93,000. Purchases of inventory on account during the year totaled $318,000. Inventory costing $343,000 was sold on account for $536,000. Record transactions for the purchase and sale of inventory.
Answer:
Explanation:
The journal entries are shown below:
1. Merchandise Inventory A/c $318,000
To Accounts payable A/c $318,000
(Being the inventory is purchased on credit)
2. Accounts receivable A/c Dr $536,000
To Sales revenue A/c $536,000
(Being inventory is sold on credit)
3. Cost of goods sold A/c Dr $343,000
To Merchandise inventory A/c $343,000
(Being inventory is sold at cost)
The nominal exchange rate
a) is the difference between the interest rate in one country and the interest rate in another country.
b) the rate at which a bond may be exchanged for currency.
c) the rate at which a stock may be exchanged for currency.
d) the price of one country's currency in terms of another's.
Answer: D: the price of one country's currency in terms of another's.
Explanation: the number of units of a local currency required to exchange for another number of units of a foreign currency is called the nominal exchange rate.
For example, if £1 = $1.5, it means that one pound is required to exchange for two American dollar.
lists two things that both increase the money supply?
Answer:
Decrease is taxes
Increase in government spending
Explanation:
Government policies that increases the money supply in an economy is known as expansionary fiscal policy. They are:
1. Decrease is taxes - when government reduces the tax rate, the amount paid as taxes falls and as a result individuals, companies have higher disposable income whuch can be used for consumption or saving. This increases the money supply in the economy.
2. Increase in government spending - if the government increases it's spending on public goods for example, money supply would increase. If the government constructs a road, labour would be employed and paid wages. This payment increases the income of Labour and money supply increases.
Central bank policies that increases money supply are known as expansionary monetary policies. They include:
1. Open market purchase: The central bank purchase securities from the open market to increase money supply.
2. Reduction in reserve requirement ratio : if the reserve requirement ratio is reduced , commercial banks would have more money to give out as loans and this would increase money supply.
Ecology Co. sells a biodegradable product called Dissol and has predicted the following sales for the first four months of the current year: Jan. Feb. March. April. Sales in units 3,500 4,600 5,700 4,300 Ending inventory for each month should be 20% of the next month's sales, and the December 31 inventory is consistent with that policy. How many units should be purchased in February?
Answer:
4,820 units
Explanation:
The computation of the purchased units in February month is shown below:
= Sale units + ending inventory units - beginning inventory units
where,
Sale units is 4,600 units
Ending inventory units = 5,700 units × 20% = 1,140 units
Beginning inventory units = 4,600 × 20% = 920 units
Now put these units to the above formula
So, the units would equal to
= 4,600 units + 1,140 units - 920 units
= 4,820 units
Matt owns a ski instruction school in the Berkshire Mountains, a dog training academy in Connecticut, and an investment house in Boston. He just told Chet, one of his most promising investment managers, to run the dog academy for six months. What technique is Matt using?VestibuleSurvival trainingJob rotationVirtual realityAssistant-To position.
Answer:
Job Rotation
Explanation:
Based on the information provided within the question it seems that the technique that Matt is using is called Job Rotation. This business technique refers to the act of employees rotating between job roles within the same company and taking all the responsibilities that are associated with that new role. Which is exactly what is happening in this scenario since Chet is switching to the ownership position within the business until Matt gets back, then they would rotate back.
Karina is entering into a business transaction what is referred to as off-balance-sheet financing, the company. The company is in violation of generally accepted accounting principles. is attempting to conceal the debt from shareholders by having no information about the debt included in the balance sheet. wishes to confine all information related to the debt to the income statement and the statement of cash flow. can enhance the quality of its financial position and perhaps permit credit to be obtained more readily and at less cost.
Answer:
Explanation:
Off-balance sheet (OBS) financing is an accounting practice whereby a company does not show a liability or debt on its balance sheet. It is used to impact a company's level of debt and liability.
Cotton created the antebellum South. The wildly profitable commodity opened a previously closed society to the grandeur, the profit, the exploitation, and the social dimensions of a larger, more connected, global community. How did this profitable commodity effect the institutions of slavery in America?
Answer:
Slavery in the southern US began to expand in the Virginia Colony with the tobacco plantations in the Chesapeake area. It expanded southwards with time, first to the Carolinas, were slaves were imported to work in Rice Plantations, and, finally the Georgia colony.
However, cotton began to replace tobacco, rice and sugar in the South, because it was more profitable, and suited better the soil and climate of the region. With the cultivation of cotton, slavery became widespread in the US. The majority of slaves were "imported" from the end of the 17th century to the first decades of the 18th century.
Cotton plantations made then, slavery institutions of the antebellum South widespread, strong and entrenched. The economics of the South practically depended on slavery, just like the economics of the Roman Empire a millenium ago.
Gregory is a manager in an insurance company and heads a team of 30 agents. In order to meet the company's target, every agent needs to increase his or her target for the month by 15 percent. Gregory promises his agents a bonus if the company's target is met. Which influence tactic is Gregory using?
A. Pressure
B. Ingratiation
C. Coalition
D. Personal appeal
E. Exchange
Answer:
E. Exchange
Explanation:
-Pressure: Is to force compliance by using intimidation.
-Ingratiation: Is becoming more likeable to ask for something.
-Coalition: Is to get people to help you to convince someone
-Personal appeal: Is to use friendship to ask for something
-Exchange: Is to offer or promise something to receive something else in return
According to this, the influence tactic that Gregory is using is Exchange because Gregory promised his agents a bonus if they meet the target.
Answer:
E) Exchange
Explanation:
I'll include a personal opinion here; Bonuses are probably the best way to increase productivity. You want to earn more money, then you must work harder and earn your bonus.
Exchange tactics are used to offer rewards in exchange for performing a certain way. In this case Gregory is offering a bonus in exchange for an increase in the sales volume. In order for an exchange tactic to be successful, the leader should offer something the other party values and wants. In this case everybody wants more money.
The perfectly competitive price and output level occur where
Answer:
It occur where MR = MC
Explanation:
Perfectly competitive organization or firm is the one who is price taker, which states that they must accept the price at which it sells the goods to consumer.
In a firm that is a perfectly competitive, the level of output as well as the price happen where the Marginal Cost is equal to the Marginal Revenue.
It is stated as MR = MC.
Perfect competition is characterized by all of the following except A. homogeneous products. B. sellers are price takers. C. heavy advertising by individual sellers. D. horizontal demand for individual sellers.
Answer:
c they don't have enough money
Other disclosures related to receivables are reported
a.on the income statement only.
b.on the face of the financial statements only.
c.in the financial statement notes only.
d.either on the face of the financial statements or in the financial statement notes.
Answer:
Correct option is (d)
Explanation:
Other disclosure related to receivables include further information on the amounts owed to the organization by debtors such as notes receivables and trade receivables. They are reported either on the face of financial statements in the balance sheet or as notes in the financial statements.
This includes additional information about the receivables such as risk associated with it or market value of receivables.
Lily has suffered severe injuries from a car accident. She would like to sue for compensation, but does not have enough funds on hand to retain an attorney on her own. What is the best type of fee arrangement for Lily?
a. Hourly fee
b. Contingency fee
c. Fixed fee
d. Administrative fee
Answer:
The correct answer is b. Contingency fee
Explanation:
Contingency fee agreements are generally used in cases where a victim seeks monetary damages due to an injury. There is an agreement called a contingency fee agreement, which allows an individual to obtain legal representation without having to pay in advance. Instead of having to pay in advance, the client will agree to pay the lawyer a percentage of what is guaranteed in case he wins the case. The contingency fee agreement will include any circumstances of payment and the amount of money the lawyer will charge at the end of the case.
The concept of having a contingent fee agreement is that the plaintiff will not have initial expenses. This should help relieve some of the stress that comes with being a victim of personal injury. The client will not pay any legal fee unless and until he wins and his lawyer will receive a percentage of the recovery based on his fee. There will be no legal fees for the lawyer if he does not win the case.
In class, we considered the way in which value-pricing is used by firms like McDonald's to provide more value to consumers. In general, this one useful approach to get consumers' attention for our product. However, as discussed, a practical problem can arise if: a. The COSTS for ingredients may rise, so that the firm cannot produce a profit at the value-priced amount. b. COMPETITION can charge us with illegal price competition. c. Consumer groups accuse us of caring more about profits than about our consumers' health. d. Managers cannot calculate the value price in the store e. as a practical matter, we pointed out that value-pricing always reduces our profits.
Answer:
A) The COSTS for ingredients may rise, so that the firm cannot produce a profit at the value-priced amount.
Explanation:
Value pricing strategies usually work because consumers always like good offers and what better offer than a cheap price. But for any company to be able to sell at very low prices, the inputs they use including labor, materials and capital must be cheap also. That is the reason why McDonald's pays a low salary and they have to buy the cheapest possible ingredients.
If the price of any of their inputs increases significantly, then they will start losing money if they keep their prices low. If we want to pay $1 for a hamburger, then we cannot expect it to be made with the best ingredients available or by the best paid chefs in the world.
When selling convenience goods such as tobacco, newspapers, chewing gum, and potato chips to convenience stores, companies often decide to sell through all available outlets. This is an example of ________ distribution
A) selective
B) intensive
C) broad-based
D) exclusive
E) luxury
Answer: intensive distribution
Explanation: In simple words, it refers to a marketing strategy under which a company offers its product through as many outlets as possible in the market so that customers can easily find their product when in need.
The core objective of implementing thus Strategy is to make customer satisfied regarding the availability. These strategy is implemented for the products that already have a strong customer base.
Hence from the above we can conclude that the correct option is B.
Managerial accounting information
a) tends to be different from business to business based on management needs.
b) focuses on historical transactions excluding an budgets or forecasts for the future.
c) is prepared primarily for investors and creditors and is generally available to the public.
d) is governed by GMP.
e) All of the above.
Answer:
a) tends to be different from business to business based on management needs.
Explanation:
In each specific business and industry there are different factors that are more important in one sector compared to another. Therefore, the managerial accounting information’s is prepared according to specific needs of the business.
The statements used to present this information is based on the importance give for the managers to each one of the statements. As the final idea is to take decisions with these statements the managers select specific accounting information regarding the specific problem or strategy that they are facing.
Your client performed the physical count of inventory as of November 30, one month prior to year-end. Subsequently, your client closed the sales journal on 12/29/XX, two days before year-end, and reported those two days' credit sales in January of the next year. Assuming the client uses a perpetual inventory system, which of the following is most likely to be overstated relating to the year XX financial statements?
A. Sales.
B. Cash.
C. Inventory.
D. Accounts receivable.
Answer:
The answer is C, that is, for the inaccurate accounting recording described in the question, inventory is most likely to be overstated.
Explanation:
For the year XX, any sales happening in the last two days of the year must be recorded in the year XX. However, as sales journal closes 02 days before year end, these recordings will be recorded in (XX +1) year.
As a sales transaction happens, Cash and Account Receivable go up (Dr), Sales also increases (Cr) while Inventory decreases (Cr).
With the early closing of sales journal, as explained above, if any sales takes place in the last two days of the year, Cash and Account Receivable and Sales for the year XX will be understated (because they are inaccurately recorded in the (XX+1) year ) and Inventory will be understated (also because they are inaccurately recorded in the (XX+1) year).
_______ inflation can be explained by an ________ shift in the aggregate _________ curve.
a. Cost-push, rightward, supply
b. Demand-pull, leftward, demand
c. Demand-pull, leftward, supply
d. Cost-push, rightward, supply
Answer: Demand-pull, leftward, demand.
Explanation: DEMAND-PULL inflation can be explained by an LEFTWARD shift in the aggregate DEMAND curve.
In a Demand-pull inflation an increase demand leads to an equivalent increase in price which leads to a rise on the demand curve.
Final answer:
The correct answer is 'Cost-push inflation, leftward, supply', which indicates a situation where higher production costs cause the aggregate supply curve to shift left, leading to higher price levels.
Explanation:
The correct answer to the question is Cost-push inflation, which can be explained by a leftward shift in the aggregate supply curve. This leftward shift signifies that the supply of goods and services at every price level has decreased, typically due to increased production costs. Historical instances like the oil crisis of the 1970s are classic examples of cost-push inflation, where the abrupt increase in oil prices led to a surge in production costs for many industries, thereby reducing aggregate supply.
Cost-push inflation is not caused by an increase in demand for goods and services, but rather by an increase in the costs to produce those goods and services, which shifts the aggregate supply to the left.
In contrast, demand-pull inflation would be the result of an increase in aggregate demand, which is typically represented by a rightward shift in the aggregate demand curve. This occurs when there's an increase in overall spending in the economy, leading to greater real GDP and upward pressure on the price level, and is not associated with a shift in the supply curve.
Among the advantages of cycle counting is that it: allows more rapid identification of errors and consequent remedial action than is possible with annual physical inventory. makes the annual physical inventory more acceptable to management. does not need to be performed for less expensive items. does not require the detailed records necessary when annual physical inventory is used. does not require highly trained people.
Answer:
Allows more rapid identification of errors and consequent remedial action than is possible with annual physical inventory
Explanation:
Cycle counting is a prominent stock tallying arrangement that enables organisations to include various things in various zones inside the distribution centre without calculating the whole stock. Cycle checking is an inspecting method where the count of a specific number of things derives the mean the entire distribution centres. It also helps in the identification of errors.
Cycle counting offers advantages such as rapid error identification and maintains accurate records, making annual inventories more manageable and reliable. It requires detailed records just like annual inventories and needs to be performed on all inventory items for effectiveness.
Explanation:Among the advantages of cycle counting is that it allows for a more rapid identification of errors and enables quick remedial action, which can be more efficient than what is possible with an annual physical inventory. This ongoing process can help make the annual physical inventory more acceptable to management, as it ensures that inventory records are accurate throughout the year. However, it's important to note that cycle counting still requires detailed records similar to annual physical inventory and needs to be performed even for less expensive items to maintain accuracy. While it may not require highly trained people, sufficiently trained personnel are essential to perform cycle counting effectively, especially when identifying and correcting errors.
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Bellingham Inc had the following activity last year:
Sales $300,000;
Cost of goods sold $170,000;
Depreciation expense $25,000;
other selling and administrative expenses $95,000;
income tax expense $3,000.
What was the estimated net cash flow for the year?
Answer:
The net cash flow of the year amounts to $32,000
Explanation:
The net cash flow of the year is computed as:
Net cash flow = Net income + Depreciation
= $7,000 + $25,000
= $32,000
Where
Net Income is computed as:
Net Income = Sales - COGS (Cost of goods sold) - Depreciation expense - Selling and administrative expense - Income tax expense
= $300,000 - $170,000 - $25,000 - $95,000 - $3,000
= $7,000
On July 1, 2019, Montana Company has bonds with balances as shown below. Bonds Payable 66,000 Discount on Bonds Payable 3,800 If the company retires the bonds for $71,150, what will be the effect on the income statement?
Answer:
Loss on the retirement of $4,750
Explanation:
The following have the effect on the income statement which is a loss on the retirement and it amounts to $4,750
It is computed as:
Loss on retirement = Retirement value of the bonds - Issued price of the bonds
= $71,150 - $66,400
= $4,750
Working Note:
Issued Price of bonds = Face value - Discount on bonds payable
= $70,000 - $3,600
= $66,400
The retirement of Montana Company's bonds for $71,150 will result in a loss of $8,950, negatively impacting the income statement as this amount exceeds the carrying value of the bonds.
Explanation:On July 1, 2019, Montana Company had bonds payable of $66,000 and a discount on bonds payable of $3,800. If the company decides to retire the bonds for $71,150, the effect on the income statement will be determined by calculating the loss or gain on this retirement. Firstly, we need to adjust the carrying amount of the bonds by subtracting the discount from the bonds payable, resulting in a carrying amount of $62,200 ($66,000 - $3,800). When the bonds are retired for $71,150, this results in a loss because the retirement cost is greater than the carrying amount. The loss calculated would be $8,950 ($71,150 - $62,200), which will negatively affect the income statement as an expense.
A vending machine's coin box contains nickels, dimes, and quarters. The total number of coins in the box is 284. The number of dimes is three times the number of nickels and quarters together. If the box contains 27 dollars and 25 cents, find the number of nickels, dimes and quarters that it contains.
Answer:
there are 59 nickels, 12 quarters, and 213 dimes
Explanation:
let n = nickelslet q = quarterslet d = dimesfirst step:
d = 3 (n + q) = 3n + 3q
d + n + q = 284
0.10d + 0.05n + 0.25q = 27.25
second step:
3n + 3q + n + q = 284
0.10 (3n + 3q) + 0.5n + 0.25q = 27.25
third step:
4n + 4q = 284
0.3n + 0.3q + 0.05n + 0.25q = 27.25
fourth step:
n + q = 71
0.35n + 0.55q = 27.25
fifth step:
replace q = 71 - n
0.35n + 0.55(71 - n) = 27.25
sixth step:
0.35n + 39.05 - 0.55n = 27.25
seventh step:
11.8 = 0.2n
eighth step:
n = 59
q = 71 - 59 = 12
d = 284 - n - q = 284 - 59 - 12 = 213
To solve the problem, characterize it through three equations: d = 3(n + q), n + d + q = 284, and 0.05n + 0.10d + 0.25q = 27.25. These equations can be solved for n, d, and q through substitution or elimination.
Explanation:The problem statement gives us some key information to define our mathematical equations. Let's denote the number of nickels by 'n', the number of dimes by 'd', and the number of quarters by 'q'.
We know that 'd' is three times the total number of nickels and quarters, so we have an equation:
d = 3(n + q)
We also know the total count of all coins in the box is 284:
n + d + q = 284
Lastly, the total sum of money in the box $27.25, each nickel values $0.05, each dime - $0.10, and each quarter - $0.25, which gives us a third equation:
0.05n + 0.10d + 0.25q = 27.25
Using these three equations, we can solve for n, d, and q through substitution and elimination methods.
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