Answer:
the net income in the case when the line is dropped is $150,000
Explanation:
The computation of the net income in the case when the line is dropped is as followS:
= Total net income + fixed cost of hard rubber - contribution margin of the hard rubber
= $135,000 + $22,000 - $7,000
= $150,000
hence, the net income in the case when the line is dropped is $150,000
A tile manufacturer has supplied the following data: Boxes of tiles produced and sold 520,000 Sales revenue $ 2,132,000 Variable manufacturing expense $ 650,000 Fixed manufacturing expense $ 464,000 Variable selling and administrative expense $ 260,000 Fixed selling and administrative expense $ 312,000 Net operating income $ 446,000 What is the company's unit contribution margin
Answer:
unitary contribution margin= $2.52
Explanation:
First, we need to calculate the total variable cost:
Total variable cost= Variable manufacturing expense + Variable selling and administrative expense
Total variable cost= 560,000 + 260,000
Total variable cost= $820,000
Now, the unitary variable cost and the selling price:
unitary variable cost= 820,000 / 520,000= $1.58
Selling price= 2,132,000 / 520,000= $4.1
Finally, the unitary contribution margin:
unitary contribution margin= selling price - unitary variable cost
unitary contribution margin= 4.1 - 1.58
unitary contribution margin= $2.52
During 2020 Carne Corporation transferred inventory to Nolan Corporation and agreed to repurchase the merchandise early in 2021. Nolan then used the inventory as collateral to borrow from Norwalk Bank, remitting the proceeds to Carne. In 2021 when Carne repurchased the inventory, Nolan used the proceeds to repay its bank loan. This transaction is known as a(n) assignment for the benefit of creditors. product financing arrangement. installment sale. consignment.
Answer: product financing arrangement
Explanation:
A product financing arrangement is referred to as a transaction whereby a company sells an inventory and then agrees to repurchase it.
The purpose of the product financing arrangement is to allow the seller to be able to arrange the financing of its original purchase of the inventory. Therefore, the above situation between Carne Corporation and Nolan Corporation depicts a product financing arrangement.
Cat Chaser. Annette, who is angry because her neighbor, William, allows his dog to chase her cat, decides that she wants to get even. She moves a number of farm animals into her backyard and begins playing music at all hours of the night. She also steals a nice lawn chair off William's deck. She Antends to keep the chalt. Annette further took a rake off William's deck that she plans to return after she finishes raking her leaves. William did not give her permission to take the rake. Willam is unhappy about the whole situation and wants to sue. What claim would William have against Annette for taking the lawn chair?
A. Negligence
B. Conversion
C. Harassment
D. Trespass to personal property
E. Private nuisance
D. trespass to personal property
You plan on making a $235.15 monthly deposit into an account that pays 3.2% interest, compounded monthly, for 20 years. At the end of this period, you plan on withdrawing regular monthly payments. Determine the amount that you can withdraw each month for 10 years, if you plan on not having anything in the account at the end of the 10 year period and no future deposits are made to the account.
Answer:
Monthly payment = $769.27
Explanation:
First we have to determine the future value of the ordinary annuity:
Payment = $235.15
N = 20 * 12 = 240
Rate = 3.2% / 12 = 0.267%
Using a financial calculator and the FV function, the FV = $78,910.41
Again, using the financial calculator or Excel, you can determine the monthly payment:
N = 10 / 12 = 120
Rate = 0.267%
PV = $78,910.41
FV = $0
Monthly payment = $769.27
The journal entry to record the use of direct materials in process costing is to: Multiple choice question. debit Raw Materials Inventory and credit Work in Process Inventory. debit Work in Process Inventory and credit Raw Materials Inventory. debit Raw Materials Inventory and credit Factory Overhead. debit Factory Overhead and credit Raw Materials Inventory.
Answer:
debit Work in Process Inventory and credit Raw Materials Inventory
Explanation:
Inventory is an asset and a debit to an asset is an increase in that asset while a credit to an asset is a decrease in the value of the asset.
Direct material is an example of a raw material and as such when used in processing, the account balance reduces while work in progress which is the next product in the processing of raw materials increases.
Hence going by the principles stated earlier, the journal entry to record the use of direct materials in process costing is to debit Work in Process Inventory and credit Raw Materials Inventory.
Which of the following is a correct statement regarding the standard unmodified opinion audit report? Group of answer choices The auditor's responsibility paragraph includes a statement that the auditors are responsible for selecting the appropriate accounting principles. The format of the audit report for public and nonpublic entities are identical. The audit report includes the name of the lead partner on the audit. The auditor's responsibilities paragraph includes a statement that the auditor considers internal controls when designing the audit procedures performed.
Answer:
The auditor's responsibilities paragraph includes a statement that the auditor considers internal controls when designing the audit procedures performed.
Explanation:
Standard-Unmodified Opinion Audit Report
This form of Standard is simply known as the uniform wording ofte used in audit reports while Unmodified opinion simply means that the auditor's opinion about the financial statements contains no material exceptions or qualifications. Standard Unmodified Opinion Audit Report is virtually needed by private Company.
Auditor's Responsibility
The responsibility of an auditor is to express an opinion on financial statements based on audits made. Audits conducted in accordance with auditing standards is generally accepted in the United States of America. Those standards require that auditor plan and perform the audit to obtain reasonable assurance about whether the financial statements are free of material misstatement.
The conditions for Standard Unmodified Opinion Audit Report includes;
1. All financial statements inclusive
2. Sufficient appropriate evidence accumulated
3. Financial statements are presented fairly in accordance with GAAP or other framework etc.
Markets may have difficulty providing the proper quantity of a public good because Group of answer choices individuals will tend to become free riders, and private firms will have difficulty generating enough revenue to produce an efficient quantity of the good. the good generally has a very large value to consumers relative to its cost of production. the good is one that tends to benefit a large number of people. the large profit involved in the production of a public good is generally too much for private firms to effectively pay out to shareholders.
Answer:
individuals will tend to become free riders, and private firms will have difficulty generating enough revenue to produce an efficient quantity of the good.
Explanation:
A public good is a good that is non excludable and non rivalrous. Everyone has assess to the statue and because one person is enjoying the view of the statue does not means another person cannot enjoy the view of the statue
The free rider problem is a form of market failure. It occurs when people benefit from a good or service of communal nature and do not pay to enjoy these services.
Because a public good is non-excludable, the problem of free rider increases so private firms would be unable to generate adequate revenue
Suppose that Sandy owns a farm in North Carolina and Pat owns a farm in lowa, and Sandy's farm is generally more productive than Pan's. If both Sandy and Pat sell their com in the same market Sandy should produce the output at the marginal cost that is
A. equal to the marginal cost of Pars production
B. greater than the marginal cost of Pat's production
C. less than the marginal cost of Pat's production
D. equal to total revenue in the market
Answer:
A. equal to the marginal cost of Pars production
Explanation:
In the case when both sandy and pat sold their come in the similar market so here sandy should generated the result at the marginal cost that should be equivalent to the pat marginal cost of production
So as per the given situation, the option a is correct
And, the rest of the solutions are considered to be wrong
Light Co. had the following bank reconciliation at March 31: Balance per bank statement, 3/31 $23,250 Add: Deposit in transit 5,150 28,400 Less: Outstanding checks 6,300 Balance per books, 3/31 $22,100 Additional information from Light's bank statement for the month of April is as follows: Deposits $29,200 Disbursements 24,800 All reconciling items at March 31 cleared through the bank in April. Outstanding checks at April 30 totaled $3,200. What is the amount of cash disbursements per books in April
Answer:
$21,700
Explanation:
Calculation to determine the amount of cash disbursements per books in April
CASH DISBURSEMENTS PER BOOKS
April disbursements per bank statement$24,800
Less March checks cleared in April statement($6,300)
Checks outstanding end of April $3,200
Total cash disbursements in April $21,700
Therefore the amount of cash disbursements per books in April is $21,700
Do you think the directors of tgh word right to target a niche market or should they just sell sports shoes to a market? Justify your answer
At higher prices, what happens to the opportunity cost?
A. There's no way to tell
B. It gets larger
C. There's no difference
D. It gets smaller
The unemployment rate may underestimate the true extent of unemployment if: Question 26 options: many part-time employees would like to work fulltime, but are unable to get the additional work. employees increase the number of hours they work overtime. there are a large number of people working in the underground economy. people are pretending to look for work so that they can continue receiving unemployment benefits.
Answer:
there are a large number of people working in the underground economy.
Explanation:
The unemployment rate is the rate of people in the labour force that is without a job but they are actively looking for employment
Types of unemployment
structural unemployment is an unemployment that occurs as a result of changes in the economy. These changes can be as a result of changes in technology, polices or competition. Structural unemployment tends to be permanent.
Frictional unemployment: the period of time a person is unemployed from the period he leaves his current job and the time he gets another job. Eg. when a real estate agent who leaves a job in Texas and searches for a similar, higher-paying job in California.
Voluntary unemployment: e.g. worker at a fast-food restaurant who quits work and attends college.
Cyclical unemployment: it occurs as a result of fluctuations in the economy. Unemployment would be high in a downturn and low in a boom
If a large number of people are working underground, they would not be counted as part of the labour force and so the labour force would be smaller. This understates unemployment rate
You live in a culture in which people grow their own food and rarely have to buy food from others.One day,a researcher from the United States asks you to play the Dictator Game with a stranger.You are given $50 and you must decide how much to give to the stranger.Based on all the information given in this question,which of the following amounts are you NOT likely to give?
A)$0
B)$5
C)$13
D)$15
E)$25
Answer: $25
Explanation:
The Dictator game is used to measure just how much a person will act out of self interest especially give their surrounding. One person will be the dictator and the other a recipient who would be a stranger. The dictator will decide how much they are to give the recipient.
You live in a culture where you do not have to buy food and as this is a significant expense for humans, it means that you do not need much money. Regardless of this however, it has been shown that people would not give out the majority of their money which means that you would not give out 50% or above of the money.
As 50% is $25 here, that would be the correct option.
The government passes a law that allows a substantial subsidy for every acre of land used to grow tobacco. How does this program affect the long-run supply curve for tobacco? The long-run supply curve for tobacco will A. shift to the right because the price of tobacco will increase. B. shift down because . C. shift because tobacco production will become profitable. D. not change because the minimum long-run average cost of production will not change. E. become instead of horizontal because the costs of inputs will change.
Answer: C. shift right/ out because tobacco production will become profitable.
Explanation:
Subsidies reduce the cost of using something because the government would sponsor it. The cost of farming tobacco will therefore reduce in this instance. Tobacco companies will therefore incur less cost to acquire tobacco and so will start making more profit.
This will encourage other firms to come into the tobacco market as time goes on. As more firms enter, there will be a larger supply of tobacco. The supply curve will then shift right to depict this.
What is the difference between a production function and an isoquant? A. A production function describes the minimum output that can be achieved with any given combination of inputs. An isoquant identifies the different types of inputs that can be used to produce various levels of output. B. A production function describes the minimum output that can be achieved with any given combination of inputs. An isoquant identifies all of the different combinations of inputs that can be used to produce one particular level of output. C. A production function describes the maximum output that can be achieved with any given combination of inputs. An isoquant identifies the different types of inputs that can be used to produce various levels of output. D. A production function describes the maximum output that can be achieved with any given combination of inputs. An isoquant identifies all of the different combinations of inputs that can be used to produce one particular level of output.
Answer:
Option d: Production function describes the maximum output that can be achieved with any given combination of inputs. An isoquant identifies all of the different combinations of inputs that can be used to produce one particular level of output.
Explanation:
Factors of Production
They includes Inputs in the production process (labor, capital, materials)
Production Function
This simply is that function that is displaying or showing highest output firm can produce. It depicts what technically feasible is and when firm operates efficiently.
Isoquant
This is simply refered to as a curve tbat depicts or shows all possible efficient combinations of input that are very able to produce a certain quantity of output. It usually a downward sloping and convex and it can never slope upward. This shows also that adding more inputs keeps output constant.
Isoquant Map
This is simply a graph showing a combination of a number of isoquants, used to describe a production function.
Why is customer service important? Check all that apply.
Customers expect it.
It lessens the likelihood of competition from other organizations.
It affects customer perception of the organization.
It affects the employees.
Answer:
Customers expect it.
It affects customer perception of the organization.
Explanation:
Customer relationship management (CRM) typically involves the process of combining strategies, techniques, practices and technology so as to effectively and efficiently manage their customer data in order to improve and enhance customer satisfaction.
Simply stated, CRM is a strategic process which typically involves collecting customer information for the purpose of improving a customer's future experience.
A good customer service involves providing a timely, upbeat, and quality level of service, as well as attentive feedbacks to the customers that patronizes an organization. Thus, it ensures that the needs or wants of the customers are attended to in a matter that reflects positively on an organization.
Generally, customer service is important because of the following reasons;
I. Customers expect it: all customers are expectant of a timely and quality level of service being offered to them by a seller or employee.
II. It affects customer perception of the organization: a good customer service has a direct relationship with the way in which a customer views an organization and vice-versa.
Explain the tradeoffs involved in setting an ideal level of inventory for a particular product. What are the costs if too much is maintained? What are the costs if too little is maintained?
Answer:
An ideal inventory is difficult to have.
Explanation:
Inventory is the number of goods and services stored and is accompanied asset and thus management of that asset is a very important aspect of the business. If too much inventory is maintained the inventory can lead to liability. If too little inventory is maintained then it leads to shortages of raw material and work in progress.Abe receives a check from Bea for fixing Bea's car. Bea's bank is Bank B. Abe deposits the check into his bank, Bank A. Select all the statements that correct describe the check-clearing process. Multiple select question. Bank A increases its reserves at the Federal Reserve Bank by more than the amount of the check. Bank A increases Abe's checkable deposits by the amount of the check. Total reserves in the banking system remain unchanged. Total reserves in the banking system increase.
Answer:
Bank A increases its reserves at the Federal Reserve Bank by more than the amount of the check.
Bank A increases Abe's checkable deposits by the amount of the check.
Total reserves in the banking system remain unchanged.
Explanation:
In the case when Abe received the check from bea in order to fixed out the bea car so here Bank A should increased the reserve that should be exceed the check amount
Also it increased the abe checkable deposit via the amount check and the total reserves should remain the same
These should be considered
Congress passed the Sarbanes-Oxley Act to ensure that investors invest only in companies that will be profitable. select an option False 2. The standards of conduct by which actions are judged as loyal or disloyal are ethics. select an option True 3. The primary accounting standard-setting body in the United States is the Securities and Exchange Commission (SEC). select an option True 4. The historical cost principle dictates that companies record assets at their cost and continue to report them at their cost over the time the assets are held. select an option True 5. The monetary unit assumption requires that companies record only transactions that can be measured in money.
Answer:
1. False
2. False
3. False
4. True
5. True
Explanation:
1. False: Congress passed the Sarbanes-Oxley Act to ensure that investors invest only in companies that will be profitable.
Sarbanes-Oxley Act of 2002 is a legal framework which was passed by the 107th U.S Congress on the 30th of July, 2002. The law required that investment banking be completely made rid of research analysts who works at a broker-dealer firms, so that the analysts are not influenced to write favorable reports to enhance their potential investment banking businesses.
Hence, it is a federal law that imposes a stiffer penalty for any securities related law break offence by the accountants, auditors etc by mandating strict reforms to the existing securities regulations.
2. False: The standards of conduct by which actions are judged as loyal or disloyal are ethics.
Ethics can be defined as a standard of conduct that judges a person's action as either right or wrong.
Hence, it's a set of both written and unwritten principles, values or rules of moral conduct that guides (governs) human behaviors. Ethics is a reflection that is typically based on identifying what is good or bad, right or wrong and just or unjust with respect to human behaviors.
3. False: The primary accounting standard-setting body in the United States is the Securities and Exchange Commission (SEC).
In the United States of America, the financial accounting standards board (FASB) is the primary accounting standard-setting body.
The financial accounting standards board (FASB) is a private, non-profit organization saddled with the responsibility of establishing and maintaining financial accounting and reporting standards for general guidance of individuals or capital providers such as investors, issuers and auditors.
4. True: The historical cost principle dictates that companies record assets at their cost and continue to report them at their cost over the time the assets are held.
5. True: The monetary unit assumption requires that companies record only transactions that can be measured in money.
Sharon joined a team that was responsible for boosting sales on last year's electronic models. The team began in January and was scheduled to run until May, meeting once a week. The team consisted of four women all with marketing and sales background. When the group first met, they learned they had much in common, outside of work. Now, the majority of time each meeting was spent talking about spouses, children shopping, and hobbies. At the first meeting in March, one of the four said, "You know, we have to have a presentation ready in less than two month. That seems to set everyone in motion. The group quickly divided responsibilities and set to work. The presentation was a success. This scenario describes
A. punctuated equilibrium
B. parallel teams
C. the storming stage of team development
D. sequential interdependence
E. similarity attraction approach
Answer:
A. Punctuated equilibrium
Reason:
Definition is a sequence of team development during which not much gets done until the halfway point of a project, after which teams make necessary changes to complete the project on time.
According to the punctuated-equilibrium model of group evolution, groups frequently advance during short bursts of change following lengthy periods without change.
Answer : A .Punctuated equilibrium is how Sharon and her team's condition is described.
Punctuated equilibrium - what is it?The team initially doesn't appear to make much progress while in punctuated equilibrium. The crew starts to work to make things happen and speed up their efforts as they get closer to their deadline.
In fact, Sharon's team experienced exactly that. The ladies initially showed a greater interest in exchanging personal experiences and anecdotes. However, they discovered their deadline was approaching about halfway through, so they started to work to finish the project.
For this question, the unanswered choices are:
punctuated equilibriumparallel teamsthe storming stage of team developmentsequential interdependencesimilarity attraction approachTo Learn more About Group, Refer:
https://brainly.com/question/25656843
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Diving Fiasco. Mike, who owns a dive shop in the United States, decides to take a group of his customers diving in U.S. waters. Mike is aware that sharks occasionally visit the area where the divers will be visiting. He is also aware that, while stingrays are usually tame, they can become aggressive when fed. Mike does not reveal that information to the group of divers going with him. The divers go down into the water, and some have squid with which to feed the stingrays. During the dive, one of the stingrays becomes agitated and latches onto diver Susie's arm. Susie is so disconcerted that she drops her regulator (her breathing device) from her mouth and is in considerable difficulty. Another diver, Billy, encounters a shark, which snaps at him. While the shark does not actually bite Billy, the attack results in damage to his diving equipment. Mike, who is in charge of the dive, does nothing to help and leaves the other divers to return to the boat because the dive turned out to be more trouble than expected. Wendy, another diver on the trip, also returns to the boat without doing anything to help the divers in distress. Sam, on the other hand, goes to rescue the divers who are in distress. He manages to do so but in the process he pulls his back and requires medical care. All divers are very unhappy with Mike. Which of the following is true regarding whether Wendy and Sam had a duty to come to the assistance of the divers in peril?
A. Neither Wendy nor Sam had a duty to aid the divers in peril.
B. Wendy and Sam had a duty to aid the divers in peril, but only if Mike refused to do so.
C. Wendy and Sam did not have a duty to aid the divers in peril, unless they were the first to observe the problem. Wendy and Sam had a duty to aid the divers in peril, but only if they were acquainted with them before the dive.
D. Wendy and Sam had no duty to help strangers. Wendy and Sam had a duty to aid the divers in peril if personal safety was involved, but not O if the only issue was damage to property
Answer: A. Neither Wendy nor Sam had a duty to aid the divers in peril.
Explanation:
Sam and Wendy were simply customers of Mike in this scenario and so could not be reasonable expected to take over his duties to oversee the dive which he initiated and was aware of the risks of.
They therefore did not have a duty to aid the other divers especially given the fact that they did not know the risks involved in diving in that particular area. The only person who had an actual duty to rescue the divers is the company or person that took the people on the dive which in this case was Mike.
What is the answer I need help!!
Answer:
I, II, and III
Explanation:
Customer sales service is representative of the services given to a customer who has bought or continues to buy a product or service from a company and includes after sales service that can be provided by a manufacturer, retailer, a third party training provider, or automated self service. The provision of customer sales service improves the relationship between the customer and the company, and it is an important aspect of customer satisfaction
Therefore, customer sales service comprises technical support, customer service, and automated customer service which is the option I, II, and III
Violette is the CEO of Lafarge Advertising, based in Paris. Many distinctions exist between the different classes of people in her society. Most of the top managers in her organization, for example, come from the upper classes. This implies that French society has a high degree of
Answer:
social stratification
Explanation:
Social stratification is the way by which communities classify their citizens into socioeconomic tiers. These classifications are as a result of race, education, power, wealth, and education.
People that are at the top of the strata have more resources at their disposal and are fewer in number.
Those with less resources are at the bottom and are many.
In the give scenario many distinctions exist between the different classes of people in the society, and most of the top managers in her organization come from the upper classes.
This is an example of social stratification
which one of the following is not a financial intermediary?
A) Security dealers
B) Insurance companies
C) Real estate investment trusts
D) Pension funds
A. Security Dealers are not a financial intermediary.
On January 1, 2013, Warfield Co. purchased a $600,000 machine, with a five-year useful life and no salvage value. The machine was depreciated by an accelerated method for book and tax purposes. The machine's carrying amount was $240,000 on December 31, 2014. On January 1, 2015, Warfield changed the depreciation method prospectively to the straight-line method for financial-statement purposes. Warfield can justify the change. Warfield's income tax rate is 30%. On December 31, 2015, what amount should Warfield report as deferred income tax
Answer:
$0
Explanation:
In the case when the depreciation method is changed so it should be treated propectively. The past year depreciation amount remains the same. So the starting year of change having no difference should be produced but the beginning to the closing year of change the deferred tax liability should be recorded the difference occured in the future that lies between the book and tax depreciation
So, it should be zero
Suppose that labor is the only variable input to the production process. If the marginal cost of production is diminishing as more units of output are produced, what can you say about the marginal product of labor? If the marginal cost of production is diminishing as more units of output are produced, then the marginal product of labor
Answer:
Marginal product will increase.
Explanation:
Since the labor is only variable input and the marginal cost of production is diminishing that means the cost of producing additional unit is lower. So marginal product of labor will be increasing.
Moreover, MC = w /MPL
Thus, diminishing marginal cost will exhibit increasing marginal product of labor.
The father of a young child whose life was saved by doctors at a hospital emergency room called the president of the hospital and told her that he will donate $50,000 to the hospital, payable in 90 days, in consideration of the doctors' saving his child's life. The president recognized the father's name as a wealthy philanthropist who had donated generously to other worthy causes, and accepted the offer. The president promptly informed the hospital's board of directors of the father's offer and her acceptance of the offer. The board approved the purchase of a new respirator for $50,000 and authorized the president to enter into a written contract with a medical devices company to make the purchase, which she did. Once the child recovered, the father changed his mind and refused to give the hospital the $50,000. If the hospital sues the father, what would the hospital's best theory be to recover the $50,000
Answer:
promissory estoppel
Explanation:
Common law recognizes promissory estoppel as an enforceable promise. In order for promissory estoppel to be enforceable, it must comply with the following:
The promisee (the hospital) must have believed that the promise was real. The promisor (the father) must be a person capable of carrying out the promise. The promisee must have acted assuming that the promise was true (purchased the respirator).Zoe, the owner of Zoe's Bakery, determines that, at her optimal level of production in the short run, P < ATC and P > AVC. In the short run, Zoe should: Group of answer choices raise the price until she has maximized her profits. continue to operate, as she is making an economic profit. continue to operate, even though she is taking an economic loss. shut down immediately, as she is taking an economic loss.
Answer: continue to operate even though she is taking an economic loss.
Explanation:
Since at Zoe's optimal level of production in the short run, the price is more than the average total cost and P > AVC, then she should continue to operate even though she is taking an economic loss.
This is because even though she's making loss as the price is less than the average total cost, since the price is greater than the average variable cost, then she should continue in operation. Assuming P < AVC, then the company should shutdown in this case as only th fixed cost is incurred.
What it means monthly you don't have to pay per week?
Answer:
You have to pay once a month
Explanation:
It depends what they're asking. Either you might have to pay at the beginning of the month, or at the end of the month. If you don't pay in time, you have to pay an extra fee.
"If a loan of P dollars, at an interest rate of r percent per year compounded monthly, is payable in n monthly installments of m dollars each, then m is determined by the formula \small m=\frac{\frac{rP}{1,200}}{1-\left (1+\frac{r}{1,200}\right)^{-n}}. John and Sue took out loans whose monthly installments were determined using the formula above. Both loans had the same interest rate and the same number of monthly installments. John's monthly installment was what percent of Sue's monthly installment? (1) The amount of Sue's loan was 4 times the amount of John's loan. (2) Sue's monthly installment was 4 times John's monthly installment. "
Answer:
John's monthly installment was 25% of Sue's monthly installment.
Explanation:
The problem gives us the following data:
Sue's monthly installment was 4 times John's monthly installment.
if we wrote this as an equation we would get that:
[tex]m_{S}=4m_{J}[/tex]
where:
[tex]m_{S}[/tex]= Sue's monthly installment
[tex]m_{J}[/tex]= John's monthly installment
in order to find what percent of Johns monthly installment represented regarding Sue's monthly installment, we would need to find the following ratio.
[tex]percent=\frac{m_{J}}{m_{S}}*100\percent[/tex]
Therefore:
[tex]percent=\frac{m_{J}}{4m_{J}}*100\percent[/tex]
or:
percent=25%
If you wanted to use the given formula, you could also do that. Notice that the formula tells us that the monthly installments are proportional to the loan in dollars, so we get the following:
[tex]m=\frac{\frac{rP}{1,200}}{(1-(1+\frac{r}{1200})^{-n}}[/tex]
so we can use it to build our ration:
[tex]\frac{m_{J}}{m_{S}}*100\percent=\frac{\frac{\frac{rP_{J}}{1,200}}{(1-(1+\frac{r}{1200})^{-n}}}{\frac{\frac{rP_{S}}{1,200}}{(1-(1+\frac{r}{1200})^{-n}}}*100\percent[/tex]
Since most of the data remains constant and the monthly installments are proportional to the original amount of the loan, that ratio can be simplified to:
[tex]\frac{m_{J}}{m_{S}}*100\percent=\frac{P_{J}}{P_{S}}*100\percent [/tex]
So, the problem tells us that the amount of Sue's loan was 4 times the amount of John's loan, so:
[tex]P_{S}=4P_{J}[/tex]
so:
[tex]percent=\frac{P_{J}}{4P_{J}}*100\percent [/tex]
or:
percent=25%
