A certain college graduate borrows 6900 dollars to buy a car. The lender charges interest at an annual rate of 18%. Assuming that interest is compounded continuously and that the borrower makes payments continuously at a constant annual rate k dollars per year, determine the payment rate that is required to pay off the loan in 7 years. Also determine how much interest is paid during the 7-year period.
Answers
Answer:
a) k = $1734.86 per year
b) $5244.02
Explanation:
Principal ( borrowed ) = $6900
Annual interest rate = 18% ( compounded continuously )
Borrower makes a continuous payment at a constant rate : $k per year
a) Determine payment rate required to payoff loan ( in 7 years )
let loan at time ( t ) = x
x = $6900 , at t = 0
rate of increase of loan amount = 0.18x
rate of decrease of loan amount = k
∴ net change of loan x
= dx/dt = 0.18x - k
hence ; dt = dx / ( 0.18x - k )
k = $1734.86 per year
attached below is a part of the solution
b) Determine how much interest is paid during 7-year period
Interest paid in 7 years
= Amount paid - principal amount
= ( 1734.86 * 7 ) - 6900
= $5244.02
Related Questions
On January 1, a company purchased a five-year insurance policy for $1,800 with coverage starting immediately. If the purchase was recorded in the Prepaid Insurance account, and the company records adjustments only at year-end, the adjusting entry at the end of the first year is: A. Debit Prepaid Insurance, $1,800; credit Cash, $1,800. B. Debit Prepaid Insurance, $1,440; credit Insurance Expense, $1,440. C. Debit Prepaid Insurance, $360; credit Insurance Expense, $360. D. Debit Insurance Expense, $360; credit Prepaid Insurance, $360. E. Debit Insurance Expense, $1,440; credit Prepaid Insurance, $1,440.
Answers
Answer:
D. Debit Insurance Expense, $360; credit Prepaid Insurance, $360
Explanation:
The journal entry is shown below:
Insurance expense Dr $360 ($1,800 ÷ 5 years)
To Prepaid insurance $360
(being insurance expense is recorded)
Here insurance expense is debited as it increased the expense and credited the prepaid insurance as it decreased the assets
If policymakers are concerned about the unequal distribution of income within society, then they should prefer a ________ tax system.
Answers
Answer:
Progressive income
Explanation:
Taxation can be defined as the involuntary or compulsory fees levied on individuals or business entities by the government to generate revenues used for funding public institutions and activities.
There are three (3) types of taxation used by the government, these are;
1. Progressive taxation: it involves charging individuals having higher incomes a higher percentage of their total income.
For instance, John pays 30% on $70,000 and Joyce pays 10% on $45.000.
2. Proportional taxation: it involves charging both lower and higher income earners equally in proportion to their income.
For instance, John pays 20% on $50,000 and Joyce pays 20% on $36,000.
3. Regressive taxation: it involves charging individuals with low incomes a higher percentage of their total income and vice-versa.
For instance, John pays 15% on $60,000 and Joyce pays 20% on $36,000.
Hence, if policymakers are concerned about the unequal distribution of income among employees or workers within their society, then they should prefer a progressive income tax system.
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Demand-pull inflation occurs when
the price of goods rises suddenly and extremely fast.
consumers begin purchasing more goods.
producers need more money to make and distribute goods.
the government prints more money and pushes prices up.
Answers
Answer:
The production and transport of good and service are high and rises than the demand pull inflation occurs. It may be profitable for any business. Demand pull inflation need cost more but more than that they get profit
A sales invoice included the following information: merchandise price, $9,900; terms 1/10, n/eom, FOB shipping point with prepaid freight of $1,100 added to the invoice. Assuming that a credit for merchandise returned of $900 (before discount) is granted prior to payment and the invoice is paid within the discount period, what amount of cash should be received by the seller
Answers
Answer: $10010
Explanation:
The amount of cash that should be received by the seller will be:
($9900 - $900) = $9000
$9000 × 1% = $90
$9000 - $90 = $8910
$8910 + $1100 = $10010
Therefore, the amount of cash should be received by the seller will be $10010.
Henna Hair Salon purchased supplies for $6,000 and debited Supplies for the full amount. At the end of the accounting period, $1,800 worth of supplies were still on hand. Identify the adjusting entry needed at the end of the period. debit Supplies $4,200; credit Supplies Expense $4,200 debit Supplies Expense $7,800; credit Supplies $7,800 debit Supplies $1,800; credit Supplies Expense $1,800 debit Supplies Expense $4,200; credit Supplies $4,200
Answers
Answer: D. debit Supplies Expense $4,200; credit Supplies $4,200
Explanation:
Based on the information given in the question, the adjusting entry needed at the end of the period will be to debit Supplies Expense $4,200 and credit Supplies $4,200.
The supplies expenses of $4200 was gotten as:
= $6000 - $1200
= $4800
Therefore, the correct option is D.
.
An economy is employing 2 units of capital, 5 units of raw materials, and 8 units of labour to produce its total output of 640 units. Each unit of capital costs $10, each unit of raw materials, $4, and each unit of labour, $3.
92) Refer to the above information. The per unit cost of production in this economy is:
A) $1.00.
B) $.10.
C) $.05.
D) $.50.
93) Refer to the above information. If the per unit price of raw materials rises from $4 to $8 and all else remains constant, the per unit cost of production will rise by about:
A) 50 percent.
B) 30 percent.
C) 40 percent.
D) 100 percent.
94) Refer to the above information. As a result of the change indicated in the previous question, the aggregate:
A) supply curve would shift to the right.
B) demand curve would shift to the right.
C) demand curve would shift to the left.
D) supply curve would shift to the left.
Answers
Answer:
A) The correct answer is B. The per unit cost of production in this economy is $0.10.
B) The correct answer is B. The per unit cost of production will rise by about 30 percent.
C) The correct answer is B. The demand curve would shift to the right.
Explanation:
Since an economy is employing 2 units of capital, 5 units of raw materials, and 8 units of labor to produce its total output of 640 units, and each unit of capital costs $ 10, each unit of raw materials, $ 4, and each unit of labor, $ 3, to determine the per unit cost of production in this economy, the per unit cost of production if the per unit price of raw materials rises from $ 4 to $ 8 and all else remains constant, and to determine how the demand or aggregate supply curve will respond, the following calculations must be made:
A) 2 x 10 + 5 x 4 + 8 x 3 = 20 + 20 + 24 = 64
64 / 640 = 0.10
B) 2 x 10 + 5 x 8 + 8 x 3 = 20 + 40 + 24 = 84
64 = 100
84 = X
84 x 100 / 64 = X
8400 / 64 = X
131.25 = X
Top Breakfast Cereal producers - company name, most current market share, signature
products
1. #1
share % Signature products
2. #2
share % Signature products
3. #3
share % Signature products
4. #4
share % Signature products
Answers
Answer:
1. Kellogg Company - 30.1% market share - signature products: Froot Loops, Corn Flakes, Apple Jacks.
2. General Mills - 29.85% market share - signature products: Cheerios, Nature Valley, Lucky Charms.
3. Post Holdings - 18.92% market share - Honey Bunches, Fruity Pebbles.
4. Private Label - 7.48% market share - Muesli, Choco-Shells
Which of these is a consumer right recognized by the United Nations? a. right to equality b. right to openness c. right to education d. right to collaboration Please select the best answer from the choices provided A B C D
Answers
Answer:
c. right to education
Explanation:
The United Nations Convention for Contracts on International Sale of Goods (CISG) refers to an international trade agreement for the sales of goods in the international market. The Contracts for the International Sale of Goods (CISG) was adopted at the Vienna Convention in 1980.
The main purpose of the international trade agreement is to eliminate or remove any barrier arising from the various domestic laws put in place by different countries with respect to international sales of goods or products.
Also, the Contracts for the International Sale of Goods (CISG) establishes a set of rules to govern and regulate the making and performance of commercial contacts between a buyer and a seller of goods.
The right to education on a particular goods or service is a consumer right recognized by the United Nations (UN).
Additionally, the international trade agreement has helped to make the international sales of goods to be less cumbersome, unambiguous and mitigated the chances of dispute among countries.
Taco Hot Dogs, Inc., regularly advertises its products. Under the First Amendment, in comparison with noncommercial speech, the protection given these ads is
Answers
The grouping of jobs into working units usually called departments, units, groups, or divisions is called ______.
Answers
Answer:
The grouping of jobs into working units usually called departments, units, groups, or division is called Departmentalization.
Explanation:
Departmentalization is the efficient and effective grouping of jobs into meaningful work units to coordinate numerous jobs—all for the expeditious accomplishment of the organization's objectives. They are; basic organizational units and coordinating structure.
4. Consumption as a component of GDP refers to the expenditure of A. banks. B. household. C. producers. D. government.
PLEASE TELL A
B
C
D
Answers
One significant component of _____ can be the investment a seller makes in equipment or in the hiring of skilled employees to supply the product or service to the buyer.
Answers
Answer:
Transaction cost
Explanation:
Transaction cost is defined as costs that a person bears in the process of buying or selling of a product.
For example the commission that is paid to a broker for completing a transaction, cost of transportation that is spent when completing an exchange, and time for completing the purchase are all examples of transaction cost.
In the given instance transaction cost is exemplified by the investment a seller makes in equipment or in the hiring of skilled employees to supply the product or service to the buyer.
Institutions that help to match one person's saving with another person's investment are collectively called the
Answers
Answer:
Financial system
Explanation:
How long must one wait (to the nearest year) for an initial investment of $1,000 to triple in value if the investment earns 8% compounded annually
Answers
Answer:
t = 14 years
Explanation:
The computation of the time period is shown below:
As we know that
Future value = Present value ×(1 + rate of interest)^time period
$3,000 = $1,000 × (1 + 0.08)^time period
3 = 1.08^time period
Now multiply log to both sides
So,
lof(3) ÷ log(1.08) = t
t = 14 years
If price was $1.40 per gallon and increased to $2.00 per gallon, how does quantity of gasoline demanded change
Answers
Answer:
Demand decreases.
Explanation:
The demand decreases because the price increase would cause drivers to travel less, meaning that gasoline sales would go down.
Required Journal entry
Paid salary and wages Rs 55,000
PLEASE HELP
Answers
Answer:
Date Account Title Debit Credit
XX-XX-XX Salary and Wages expense Rs. 55,000
Cash Rs. 55,000
The Salaries and Wages expense account will be debited to show that this expense was incurred as expenses have a debit balance,
Cash was used to pay for the salaries and wages so it will be credited because Assets are credited when they reduce.
What is one benefit of a saving account?
Answers
Alejandro was reprimanded for an accounting error by his boss in front of his co-workers. Alejandro gets home from his job and yells at his wife for not having dinner ready. His wife then yells at the children for leaving their toys all over the house. This BEST illustrates the use of a defense mechanism known as _____.
Answers
Answer:
displacement
Explanation:
Displacement is a psychological defense mechanism where the person redirected the emotion in a negative way via from the real source to the lower threatening receipt
As in the given situation, the husband yells his wife and then wife yells her children so this represent that they use the defense mechanism i.e. displacement
why is agriculture considered as a basic level of occupation explain with of explain with example
Answers
Answer:
Explanation:
Agriculture is important occupation throughout the world because it is like a backbone to all other occupations and especially its important for we humans to survive. If there is no agriculture then there will not be any healthy population to support any other occupation and hence a very poor world.
At January 1, 2014, Alligator Industries reported retained earnings of $130,000. During 2014, Alligator had a net loss of $30,000 and paid dividends of $15,000. At December 31, 2014, the amount of retained earnings is
Answers
Answer:
the ending retained earning balance is $85,000
Explanation:
The computation of the ending retained earning balance is shown below:
= Opening retained earnings - net loss - dividend paid
= $130,000 - $30,000 - $15,000
= $85,000
Hence, the ending retained earning balance is $85,000
The same should be considered and relevant
The relative price of good X is 5 units of good Y. It follows that the absolute price of good X can be ______________ and the absolute price of good Y can be ___________.
Answers
Answer:
$40,000 and $8,000
Explanation:
Relative price of good X is 5 units of good Y. The absolute value of good X is $40,000. Absolute value is the original value of a good while relative value is based on price of some identical or similar good. The absolute value of good Y is $8,000.
Question Mode Fill in the Blank Question Fill in the blank question. The ABC Company had its highest level of production in May when they produced 4,000 units at a total cost of $110,000 and its lowest level of production in November when they produced 2,500 units at a total cost of $87,500. Using the high-low method, the estimated fixed costs are $ .
Answers
Answer:
Results are below.
Explanation:
To calculate the fixed cost under the high-low method, we need to use the following formulas:
Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)
Variable cost per unit= (110,000 - 87,500) / (4,000 - 2,500)
Variable cost per unit= $15
Fixed costs= Highest activity cost - (Variable cost per unit * HAU)
Fixed costs= 110,000 - (15*4,000)
Fixed costs= $50,000
Fixed costs= LAC - (Variable cost per unit* LAU)
Fixed costs= 87,500 - (2,500*15)
Fixed costs= $50,000
A perfectly competitive firm a. has a perfectly inelastic demand. b. has a perfectly elastic supply. c. Answers A and B are correct. d. Answers A and C are correct. e. sells a product that has perfect substitutes.
Answers
Answer:
b
e
Explanation:
A perfect competition is characterized by many buyers and sellers of homogenous goods and services. Market prices are set by the forces of demand and supply. There are no barriers to entry or exit of firms into the industry.
In the long run, firms earn zero economic profit. If in the short run firms are earning economic profit, in the long run firms would enter into the industry. This would drive economic profit to zero.
Also, if in the short run, firms are earning economic loss, in the long run, firms would exit the industry until economic profit falls to zero.
What type of loan uses real estate for security?
A point of sale
A line of credit
. A disclaimer (it’s not disclaimer)
A second mortgage
Answers
Answer:
A second mortgage loan uses real estate for security
It is generally recognized that a major objective of accounting for inventory is the proper determination of
Answers
Answer:
Net income
Explanation:
The main objective of an accounting with respect to the inventories is determining of an income via the matching principle where the revenues are matched with the expenses incurred
So as per the given situation, the net income should be considered and relevant
Therefore it is to be correct term that should be used here
A motorist from State A struck and injured a pedestrian in State B. The pedestrian, a State B resident, brought an action in a State B federal court against the State A motorist, seeking $100,000 in damages. The summons and complaint were served on a receptionist at the motorist's place of business in State A. State A's rules permit service of process in this manner, while State B's rules do not. If the motorist moves to dismiss the complaint on the basis of improper service of process, is the court likely to dismiss the action
Answers
Answer: C. No, because the federal rules permit service under the rules of the state in which service will be effected.
Explanation:
The case was filed in federal court so the rules regarding the service of the summons will be according to the rules of federal courts.
Rule 4 of the Federal Rules of Civil Procedure allows for the service of a summons to be based on the service rules of the state where the service is to be made. As the service was done in State A and State A allows service to be at defendant's place of business, proper procedure was followed and so the court will not dismiss the action.
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If producers expect the price of a good to decrease in the future, what will happen to the current equilibrium price and quantity of that good?
a. The equilibrium price and quantity will both decrease.
b. The equilibrium price and quantity will both increase.
c. The equilibrium price will increase and equilibrium quantity will decrease.
d. The equilibrium price will decrease and equilibrium quantity will increase.
Answers
Explanation:
C = the equilibrium price will increase and equilibrium quantity will decrease
Answer:
C
Explanation:
Expenses that are not easily traced to a specific department, and which are incurred for the joint benefit of more than one department, are
Answers
Answer:
Indirect expenses
Explanation:
Indirect expenses are those that are usually sent on more than one department, and it is not easily traced to one source.
They are usually costs that result from running the business as a whole.
Examples of indirect expenses includes rent, taxes, advertising, salaries, administrative expenses, distribution and selling expenses.
These expenses will eventually be shared between different departments in the organisation and cannot be traced to only one source, so it is called indirect expense.
Jordan, a senior salesperson for a steel firm, plans to get a huge investment from the owner of an automaker. He begins his sales presentation by saying to the owner, "Congratulations on being awarded the 'Innovative Automaker of the Year.' It is great to work with one of the pioneers in the automobile industry." Jordan is using a(n) __________ opening in this scenario
Answers
Answer:
compliment
Explanation:
Compliment is defined as a positive assessment of a person or a situation that is expressed in spoken medium.
It can be used in the middle of a conversation to smoothen the interaction or it can be used at the beginning of a conversation.
In the given instance where Jordan begins his sales presentation by saying to the owner, "Congratulations on being awarded the 'Innovative Automaker of the Year.' It is great to work with one of the pioneers in the automobile industry." He is using a compliment to begin his speech
It is important to shop around for credit because banks and financial institutions have varying credit histories. charge different fees. follow different laws. have varying discriminatory policies.
Answers
Answer:
follow different laws
Explanation:
In simple words, Shopping around is really a good idea, whether you're obtaining your first credit account or you've already established credit and want more of it. Searching widely is often the only way to locate a lenders that will cooperate with you. It's also the greatest method to obtain a decent bargain in some instances.
Different creditors have different laws, which affect their terms and conditions regarding interest rate, tenure etc.
Answer: The answer would be:
B: charge different fees.
Explanation:
Edge 2023
Hope this helps! (^_^)
