Answer:
$1,010,668
Explanation:
if you choose not to attend college, you should be working for 65 - 18 = 47 years
your expected annual salary is $40,000
the present value of your future earnings = $40,000 x PV annuity factor
PV annuity factor = = [1 - 1/(1 + i)ⁿ] / i = [1 - 1/(1 + 0.03)⁴⁸] / 0.03 = 25.2667
present value of future earnings = $40,000 x 25.2667 = $1,010,668
Beth, an employer, wants to hire someone for a strenuous job that requires a great deal of training, which will take place over the course of several years. The applicant who appears most qualified is 58 years old; however, Beth is concerned that the applicant will not be able to handle the physical demands of the position in the long run. Further, she is concerned that the applicant will only continue working for several more years before she retires. Does Beth hire the applicant anyway
Answer:
Beth should not hire the applicant.
Explanation:
Based on common hiring practices, Beth should not hire the applicant. Mainly due to the applicant's age. It costs a company a large amount of money to properly train an employee in order to have them be as efficient as possible when working for the company. This is regardless of their current experience, therefore if a candidate is as old as this particular candidate and is already thinking of retiring then it will be a waste of company resources to hire the individual candidate. Instead, Beth should go for someone with the same experience/skills but will instead be with the company for the long term.
Susan and Bill Stamp want to set up a TDA that will generate sufficient interest at maturity to meet their living expenses, which they project to be $1,200 per month. (Round your answers to the nearest cent.)
(a) Find the amount needed at maturity to generate $1,350 per month interest, if they can get 7 % interest compounded monthly.
(b) Find the monthly payment that they would have to make into an ordinary annuity to obtain the future value found in part (a) if their money earns 9 % and the term is twenty years.
Answer:
(a) The amount needed is $192,000.
(b) The monthly payment is $150.98.
Explanation:
Note: There are errors in this question. The correct question is therefore provided before answering the question as follows:
Susan and Bill Stamp want to set up a TDA that will generate sufficient interest at maturity to meet their living expenses, which they project to be $1,200 per month. (Round your answers to the nearest cent.)
(a) Find the amount needed at maturity to generate $1,200 per month interest, if they can get 7.25% interest compounded monthly.
(b) Find the monthly payment that they would have to make into an ordinary annuity to obtain the future value found in part (a) if their money earns 9.75% and the term is twenty years.
The explanation of the answer is now given as follows:
(a) Find the amount needed at maturity to generate $1,200 per month interest, if they can get 7.25% interest compounded monthly.
This can be calculated using the following future value formula:
FV = P / i ........................... (1)
Where;
FV = Amount needed at maturity = ?
P = Monthly payment or amount to generate monthly = $1,200
i = monthly interest rate = Annual interest rate / 12 = 7.25% / 12 = 0.075 / 12 = 0.00625
Substituting the values into equation (1), we have:
FV = $1,200 / 0.00625 = $192,000
Therefore, the amount needed is $192,000.
(b) Find the monthly payment that they would have to make into an ordinary annuity to obtain the future value found in part (a) if their money earns 9.75% and the term is twenty years.
This can be calculated using the Future Value (FV) of an Ordinary Annuity as follows:
FV = M * (((1 + r)^n - 1) / r) ................................. (2)
Where,
FV = Future value = $192,000
M = Monthly payment = ?
r = Monthly interest rate = 9.75% / 12 = 0.0975 / 12 = 0.008125
n = number of months = 25 years * Number of months in a year = 25 * 12 = 300
Substituting the values into equation (2) and solve for M, we have:
$192,000 = M * (((1 + 0.008125)^300 - 1) / 0.008125)
$192,000 = M * 1271.65920375075
M = $192,000 / 1271.65920375075
M = $150.98
Therefore, the monthly payment is $150.98.
A company purchased $10,700 of merchandise on June 15 with terms of 2/10, n/45, and FOB shipping point. The freight charge, $850, was added to the invoice amount. On June 20, it returned $1360 of that merchandise. On June 24, it paid the balance owed for the merchandise taking any discount it is entitled to. The cash paid on June 24 equals:______
a. $10,003.
b. $9,224.
c. $11,550.
d. $11,210.
e. $11,11Ο.
Answer:
a. $10,003.
Explanation:
The terms of 2/10, n/45 means that there is a 2% discount if the payment is made within 10 days of the sales date and rhe net credit period is 45 days.
Calculate total invoice value
Total Invoice value = Merchandise value + Freight Charges = $10,700 + $850 = $11,550
As the payment is made on June 24 within the discount period, the discount will be availed
Discount = ( Purchases made - Returns ) x 2% = ( $10,700 - $1,360 ) x 2% = $186.80 = $187
Now the Amount paid
Amount Paid = Invoice value - Return - Discount avaialed = $11,550 - $1360 - 187 = $10,003
Suppose the demand function for good X is given by: where is the quantity demanded of good X, is the price of good X, and is the price of good Y, which is related to good X. Using the midpoint method, if the price of good X is constant at $10 and the price of good Y decreases from $10 to $8, the cross price elasticity of demand is about:_________
Answer:
Quantity demanded is -0.4
Explanation:
Quantity demanded is -0.4 if the prices decline from $8 to $10. The cross price elasticity is the change in quantity demanded for the goods when the price of other goods changes. The price change can be minor and the quantity demanded change can be high.
How can a manager use a value chain to improve a company?
To improve a company's value chain, its value chain management team identifies each part of its production process and where improvements can be made. These improvements can either reduce costs or improve production capacity.
Why couldn't your friends change the amount spent on education and family care?
Answer: is this a real question ???
Explanation:
You have decided to invest $15,000 in a money market fund that pays you interest at the annual rate of 6% and compounds interests monthly. Your plan is to take out your money in a year and pay taxes on the interest earned. If the corresponding tax rate is 20%, how much money in total will you expect to receive in a year after paying taxes.
Answer:
$15,869.66
Explanation:
The formula for determining the future value of the amount invested is :
FV = PV x (1 + r / m)^mn
FV = Future value
PV = Present value
R = interest rate
N = number of years
m = number of compounding
$15,000 x (1+ 0.06/12)^12 = $15,925.17
Interest earned = future value - present value
$15,925.17 - $15,000 = $925.17
Tax paid on interest earned = 0.06 x $925.17 = $55.51
Interest after taxes = $925.17 - $55.51 = $869.66
Total amount expected = $15,000 + $869.66 = $15,869.66
Marcus was offered a job as a senior manager by Super Corp. The offer, which was made over the phone, was for a three-year contract for $120,000 salary per year. Marcus orally accepted, there was no writing. The state in which Marcus was offered the job requires that such contracts be in writing. Marcus quit his current job, which paid $75,000 a year, and headed to the state where Super Corp was headquartered. When he arrived, the director at Super Corp who had originally offered him the job said that they were revoking and that there was no contract, as Marcus never signed an employment agreement. If Marcus sues Super Corp, what is the likely result
,Answer:
-Marcus is owed something by Super Corp because he relied reasonably and to his detriment on Super Corp's offer.
Explanation:
Employment contracts can be written, oral, or implied and each of these are binding to some extent.
In the given instance it is required that employment should be written in the state where Super Corp operates.
So Marcus will not be able to compel them to give him a job as the offer was made and accepted orally.
However the offer resulted in him quitting his current job, which paid $75,000 a year, and heading to the state where Super Corp was headquartered.
He relied on the offer to his detriment of losing his current job, so Super Corp owes him for the damages incurred
When you are able to feel and touch product, it is called
Answer:
In a Proctor & Gamble study published in 2009, spanning 21 years total, found that customers who were able to feel merchandise were willing to pay more than those who hadn't. This phenomenon is called “The Endowment Effect." Basically, we make an emotional connection with what we touch.
Explanation:
Hope this helps
From,
1kvibing
The feel and touch of the products are called the endowment effect.
What is an endowment effect?An endowment effect is an effect that is associated with behavioral economics and the effect is that people find more likely to retain an object they own rather than acquire the object that they don't own.
The company named P and G published that clients were able to feel merchandised were willing to pay more than those who had not.
Find out more information about the product.
brainly.com/question/10873737
3. You are considering investing in a startup company called Minions Technologies. After careful analysis, you determine that Minions will be able to generate $100,000 in cash flow at the end of each year for the first 5 years. Then, Minions will generate cash flow of $400,000 at the end of the 6th year, after which it will grow at 11% per year forever. Using a discount rate of 18%, what is the amount you would be willing to invest
Answer:
$2,810,467
Explanation:
we need to determine the enterprise value of Minions Technologies
first, the terminal value at year 5 = $400,000 / (18% - 11%) = $5,714,286
then we must find the present value of all future cash flows, including the terminal value
PV of 5 five cash flows = $100,000 x 3.127 (PV annuity factor, 18%, 5 periods) = $312,700
PV of terminal value = $5,714,286 / 1.18⁵ = $2,497,767
total enterprise value = $2,810,467
Melissa is an unmarried person who earns a salary of $54,000 per year and has $500 of interest income. Her itemized deductions total $2,500. She is able to use a non-refundable credit of $400. She has $5,000 of federal income taxes withheld from her wages. What is the amount of Melissa's REFUND OR TAX DUE FOR 2020
Answer:
$6150
Explanation:
These are the details of Melissa's income
Salary = $54000
Interest income = 500
Itemized deductions = $ 2500
Non refundable credit = $400
Withheld federal income tax = $5000
We have to calculate the amount of her tax return for year 2020
Taxable income = 54000+500-2500
= $52500
Tax rate 22%
Tax on taxable income = 52500x0.22
= 11550
Minus non refundable credit = 11550-400
Minus federal tax withheld = 11550-400-5000
= $6150
Adriana and Belen are partners who share income in the ratio of 3:2 and have capital balances of $50,000 and $90,000 at the time they decide to terminate the partnership. After all noncash assets are sold and all liabilities are paid, there is a cash balance of $90,000. How much cash should be distributed to Adriana
Answer:
$54,000
Explanation:
First, we add the ratios together to determine the total parts:
3+2= 5
Next, we divide the cash balance of $90,000 by the total parts:
$90,000/5 = $18,000
To find the amount of cash distributed to Adriana we multiply by her ratio:
5*18,000 = $54,000.
19. What are conflicting responsibilities? Why do conflicts arise in professions?
Answer: being in the military
Explanation: reason is, because if your in the military you get to miss out on holidays , birthdays and even extra time with family and thats a big problem
In the context of using information technologies for a competitive advantage, which statement is true of a top-line strategy? a. It focuses on generating new revenue by offering new products and services. b. It focuses on improving efficiency by reducing overall costs. c. It focuses on helping different market segments achieve technological advancement. d. It focuses on refining operations by using latest technologies.
Answer:
a. It focuses on generating new revenue by offering new products and services.
Explanation:
An information system or technology can be defined as a set of components or computer systems, which is used to collect, store, and process data, as well as dissemination of information, knowledge, and distribution of digital products. Thus, an information system or technology interacts with its environment by receiving data in its raw forms and information in a usable format.
Information technology is an integral part of human life because individuals, organizations, and institutions rely on information technologies in order to perform their duties, functions or tasks and to manage their operations effectively. For example, all organizations make use of information systems for supply chain management, process financial accounts, manage their workforce, and as a marketing channels to reach their customers or potential customers.
Additionally, an information system comprises of five (5) main components;
1. Hardware.
2. Software.
3. Database.
4. Human resources.
5. Telecommunications.
Hence, in the context of using information technologies for a competitive advantage over rivals in the industry, the statement which is true of a top-line strategy is that, it focuses on generating new revenue by offering new products and services. The top-line strategy ensures that the company continues to generate gross revenue or sales.
Kilt Company used a predetermined overhead rate of $41 per direct labor hour for the year and estimated that direct labor hours would total 6,100 hours. Assume the only inventory balance is an ending Work in Process balance of $17,700. How much overhead was applied during the year
Answer:
$205,000
Explanation:
The above is an incomplete question as we were not given actual direct labor hours. From a similar question, I picked 5,000 as the direct labor hours .
With regards to the above information, applied overhead is computed as;
Applied overhead = Overhead rate × Actual direct labor hour
Given that;
Overhead rate = $41
Actual direct labor hour = 5,000
Therefore,
Applied overhead = $41 × 5,000 = $205,000
Aquatic Equipment Corporation decided to switch from the LIFO method of costing inventories to the FIFO method at the beginning of 2018. The inventory as reported at the end of 2017 using LIFO would have been $70,000 higher using FIFO. Retained earnings at the end of 2017 was reported as $880,000 (reflecting the LIFO method). The tax rate is 34%.
Required:
1. Calculate the balance in retained earnings at the time of the change (beginning of 2013) as it would have been reported if FIFO had been used in prior years.
2. Prepare the journal entry at the beginning of 2013 to record the change in accounting principle. (If no entry is required for a particular transaction, select "No journal entry required" in the first account field.)
Answer:
1. Adjusted net income = Ending inventory higher by amount * (1-Tax rate) = $70,000*(1-34%) = $70,000 * 66% = $46,200
Details Amount
Beginning retained earnings for the year 2017 $880,000
Add: Adjusted net income $46,200
Beginning adjusted retained earnings for year 2017 $926,200
2. Tax payable = Inventory * Tax rate = $70,000*34% = $23,800
Date Account Titles and Explanation Debit Credit
Inventory $70,000
Retained earnings $46,200
Tax payable $23,800
(To record adjustment of ending inventory)
Mohawk Machining, which uses a process-costing system, adds material at the beginning of production and incurs conversion cost evenly throughout manufacturing. The following selected information was taken from the company's accounting records: Total equivalent units of materials: 8,000 Total equivalent units of conversion: 7,400 Units started and completed during the period: 6,500 On the basis of this information, the ending work-in-process inventory's stage of completion is:_____.
A- 80%.
B- 70%.
C- 60%. - 40%.
D- some other percentage not listed above.
Answer:
C. 60%
Explanation:
Equivalent unit of Materials = 8,000.00
Equivalent unit of Conversion = 7,400.00
Units started and completed = 6,500.00
Since Materials are entered in the beginning it means that out of 8000 Units of Materials 6500 units are in Units started and completed and remaining 1500 Units are in Closing inventory. It also means that 1500 units are in Closing Inventory of Conversion and Equivalent production of conversion part of 1500 Units are 900 Units (7400-6500).
Let % Completion be x
X% of 1500 = 900
X = 900*100/1500
X = 60%.
Because your patented Gidgit is starting to gain attention and investors are starting to show interest, the executive committee is considering becoming a publicly held company by selling the company to the government.
True
False
Answer:
False.
Explanation:
Patent can be defined as the exclusive or sole right granted to an inventor by a sovereign authority such as a government, which enables him or her to manufacture, use, or sell an invention for a specific period of time.
Generally, patents are used on innovation for products that are manufactured through the application of various technologies.
Basically, the three (3) main ways to protect an intellectual property is to employ the use of trademarks, copyright and patents.
In this scenario, Because your patented Gidgit is starting to gain attention and investors are starting to show interest, the executive committee is considering becoming a publicly held company.
Since Gidgit is patented it cannot be sold to the government because it is a registered intellectual property that cannot be used or sold without the approval or consent of the owner.
Conrad, Inc. recently lost a portion of its records in an office fire. The following information was salvaged from the accounting records.
Cost of Goods Sold $ 65,000
Work-in-Process Inventory, Beginning 10,500
Work-in-Process Inventory, Ending 9,000
Selling and Administrative Expense 15,000
Finished Goods Inventory, Ending 15,000
Finished Goods Inventory, Beginning?
Direct Materials Used ?
Factory Overhead Applied 12,000
Operating Income 14,000
Direct Materials Inventory, Beginning 11,000
Direct Materials Inventory, Ending 6,000
Cost of Goods Manufactured 60,000
Direct labor cost incurred during the period amounted to 1.5 times the factory overhead. The CFO of Fisher, Inc. has asked you to recalculate the following accounts and to report to him by the end of the day. What is the amount of direct materials used?
Answer:
See below
Explanation:
Direct materials used = Cost of goods manufactured - work in process inventory, beginning - factory overhead applied - direct labor + work in process inventory, ending
= $60,000 - $10,500 - $12,000 - (1.5 × $12,000) + $9,000
=
Adidea Corp. regularly buys merchandise from vendors. It just purchased 1,000 units on credit from one of its vendors. How will the company record this transaction?
The company will record the purchase as a debit to the inventory account and a credit to the ________ account.
Answer:
Vendor's account/ accounts payable
Explanation:
Merchandise is an asset to the company. An increase in assets is debited to that particular merchandise or inventory account.
Since the merchandise was bought on credit, liabilities will increase. An increase in liabilities is credited to the specific vendor's account who supplied the goods on credit.
NEED HELP ASAP
There 22 Question
Lincoln Company purchased merchandise from Grandville Corp. on September 30, 2021. Payment was made in the form of a noninterest-bearing note requiring Lincoln to make six annual payments of $4,400 on each September 30, beginning on September 30, 2024. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided. Round your final answer to nearest whole dollar amount.) Required: Calculate the amount at which Lincoln should record the note payable and corresponding purchases on September 30, 2021, assuming that an interest rate of 9% properly reflects the time value of money in this situation.
Answer: $16,613
Explanation:
As the noninterest-bearing note required Lincoln to make six annual payments of $4,400, this is an annuity because it is a constant figure.
The amount that should be recorded is the present value of this amount.
Present value of annuity = Annuity * ( 1 - ( 1 + rate) ^ -no. of periods) / rate
= 4,400 * ( 1 - ( 1 + 9%)⁻⁶) / 9%
= $19,738
This present value is for September 30, 2023. It needs to be discounted further to September 30, 2021.
= 19,738 / (1 + 9%)²
= $16,613
Multinational, Inc. has recently closed several of plants in the United States and is planning to move the work of those plants to facilities in developing countries in the Pacific Rim. The employees of Multinational, Inc. have never been unionized. Zachary Bowman thinks it would be a good idea for him and his fellow employees to unionize. What is the first step that Mr. Bowman should take to begin the unionization process
Answer:
Build an organization committee
Explanation:
In simple words, the first step of unionization will be forming a committee if the union which will give it a face and formal identity. It will help to gather the individual, who are in favor of the notion in subject, in a more efficient and effective manner.
The formation of committee can also gather the ideas and problems and can also act legally.
A firm with a net income of $30,000 and weighted average actual shares outstanding of 15,000 for the year also had the following two securities outstanding the entire year: (1) 2,000 options to purchase one share of stock for $12 per share. The average share price during the year was $20, (2) cumulative convertible preferred stock with an annual dividend commitment of $4,500. Total common shares issued on conversion are 2,900. Compute diluted EPS for this firm.
Answer:
$1.68
Explanation:
Diluted EPS = Earnings Attributable to Potential Ordinary Shareholders ÷ Weighted Average Number Ordinary Shareholders plus Potential Voting Rights
where,
Earnings Attributable to Potential Ordinary Shareholders = $30,000
and
Weighted Average Number Ordinary Shareholders plus Potential Voting Rights
Weighted average actual shares outstanding = 15,000
Plus Potential voting rights of 2,000 options = 1
Plus Potential voting right of preferred stock = 2,900
Total = 17,901
therefore,
Diluted EPS = $30,000 ÷ 17,901
= $1.68
Suppose that it costs $1.50 to download a song. How many songs will Ray choose to download per
month?
Answer:
18
Explanation:
1.50x12=18
The following transactions occurred during the month of June 2021 for the Stridewell Corporation. The company owns and operates a retail shoe store.Issued 100,000 shares of common stock in exchange for $500,000 cash.Purchased office equipment at a cost of $100,000. $40,000 was paid in cash and a note payable was signed for the balance owed.Purchased inventory on account at a cost of $200,000. The company uses the perpetual inventory system.Credit sales for the month totaled $280,000. The cost of the goods sold was $140,000.Paid $6,000 in rent on the store building for the month of June.Paid $3,000 to an insurance company for fire and liability insurance for a one-year period beginning June 1, 2021.Paid $120,000 on account for the merchandise purchased in 3.Collected $55,000 from customers on account.Paid shareholders a cash dividend of $5,000.Recorded depreciation expense of $2,000 for the month on the office equipment.Recorded the amount of prepaid insurance that expired for the month.
Answer:
Sew below
Explanation:
Sidwell
Debit Cash account $500,000
Credit Common stock $625,00
To record the issue of 100,000 shares for cash
Debit office equipment $100,000
Credit cash account $40,000
Credit notes payable $60,000
To record the purchase of office equipment
Debit inventory $200,000
Credit Accounts payable $200,000
To record the purchase of inventory
Debit Accounts receivables $280,000
Credit Sales revenue $280,000
To record the sales of goods on account
Debit Cost of goods sold $140,000
Credit Inventory $140,000
To record the cost of goods sold
Debit rent expenses $6,000
Credit cash account $6,000
To record the payment of rent for the month
Don James purchased a new automobile for $21,000. Don made a cash down payment of $5,250 and agreed to pay the remaining balance in 30 monthly installments, beginning one month from the date of purchase. Financing is available at a 24% annual interest rate.
Required:
Calculate the amount of the required monthly payment.
Answer:
monthly payment. = $703.24 per month
Explanation:
given data
Cost of auto = $21000
Cash Down payment = $5250
Loan amount = PV = 21000-5250
loan amount = $15,750
time period = 30 monthly
Rate = 24% pa = 24÷12 = 2% pm
solution
we get here monthly payment that is express as
monthly payment. = [tex]\frac{P\times r\times (1+r)^n}{(1+r)^n-1}[/tex] ...................1
put here value and we get
monthly payment. = [tex]\frac{15750\times 0.02\times (1+0.02)^{30}}{(1+0.02)^{30}-1}[/tex]
solve it we get
monthly payment. = $703.24 per month
Suppose that a task in a project has the following time estimates: to optimistic completion time 11 weeks tm most likely completion time 14 weeks tp pessimistic completion time 23 weeks Compute the expected task variance. The task expected task variance is weeks. (Enter your response rounded to two decimal places.)
Answer:
6 weeks
Explanation:
Optimistic Completion Time - 11 weeks
Most likely completion time - 14 weeks
Pessimistic completion time - 23 weeks
Compute the expected task variance in weeks. Recall that Variance is a measure of dispersion - a measure that shows the distance or spread between or among values of a variable.
Expected Variance is the average of the variance values.
First,
the variance between optimistic CT and most likely CT is (14 - 11) = 3 weeks
Second,
the variance between pessimistic CT and most likely CT is (23 - 14) = 9 weeks
The expected variance is the average of these two values and that's (3 + 9)/2 = 12/2 = 6 weeks
So the expected variance from the mean completion time of 14 weeks is 6 weeks before or 6 weeks after. This accommodates both the optimist and the pessimist.
Following are transactions for Valdez Services, a company owned by Brina Valdez. Brina Valdez invested $27,300 cash in the company in exchange for common stock. The company provided services to a client and immediately received $840 cash. The company received $13,700 cash from a client in advance for services to be provided next year. The company received $2,100 cash from a client in partial payment of accounts receivable. 1. Prepare general journal entries for the above transactions of Valdez Services. 2. Listed below are three reasons why a transaction would not yield a revenue. Match each of the reasons to the transaction it properly describes.
Answer:
No General Journal Debit Credit
1. Cash $27,300
Capital, Brina Valdez $27,300
(To record investment)
2. Cash $840
Service revenue $840
(To record service revenue)
3. Cash $13,700
Unearned service revenue $13,700
(To record unearned service revenue)
4 Cash $2,100
Accounts receivable $2,100
(To record cash collection from accounts receivable)
2.
B) Suppose that regular raises at your job allow you to increase your annual payment by 5% each year. For simplicity, assume this is a nominal rate, and your payment amount increases continuously. How long will it take to pay off the mortgage
Answer:
Time period required to pay off the mortgage = 18 years
Explanation:
Note: This question is incomplete and lacks necessary data to solve. But I have found that necessary data on the internet, which I have written down and solved the question accordingly.
Data Missing:
Buying Cost of House = $320000
Interest rate = 7%
Annual Mortgage Payment = $25525.8
Now, we are required to calculate the time period required to pay off the mortgage.
Solution:
Data Given:
Increase in annual payment percentage = 5%
So,
Formula:
P = C[tex]e^{A-i}[/tex] + C[tex]e^{2(A-i)}[/tex] + C[tex]e^{3(A-i)}[/tex] + ........ + C[tex]e^{n(A-i)}[/tex]
Where,
P = Buying Cost of House = $320000
i = interest rate = 7% = 0.07
A = Increase in annual payment percentage = 5% = 0.05
C = Annual Mortgage Payment = $25525.8
P = C[tex]e^{A-i}[/tex] + C[tex]e^{2(A-i)}[/tex] + C[tex]e^{3(A-i)}[/tex] + ........ + C[tex]e^{n(A-i)}[/tex]
In this formula, we have all the required things expect the value of n, which we have to calculate.
n = Time period required to pay the mortgage.
So,
$320000 = 25525.8 [tex]e^{0.05 - 0.07}[/tex] + 25525.8 [tex]e^{2(0.05 - 0.07)}[/tex] + 25525.8 [tex]e^{3(0.05 - 0.07)}[/tex] + ..... + 25525.8 [tex]e^{n(0.05 - 0.07)}[/tex]
Taking 25525.8 common,
320000 = 25525.8 ( [tex]e^{-0.02}[/tex] + [tex]e^{-0.04}[/tex] + [tex]e^{-0.06}[/tex] + .... + [tex]e^{-0.02n}[/tex] )
320000/25525.8 = ( [tex]e^{-0.02}[/tex] + [tex]e^{-0.04}[/tex] + [tex]e^{-0.06}[/tex] + .... + [tex]e^{-0.02n}[/tex] )
12.536 = ( [tex]e^{-0.02}[/tex] + [tex]e^{-0.04}[/tex] + [tex]e^{-0.06}[/tex] + .... + [tex]e^{-0.02n}[/tex] )
Taking e common:
12.536 = [tex]e^{-0.02 -0.04 - 0.06 + .... -0.02n}[/tex]
Taking Ln to solve for n, we get:
n = 17.89
n ≈ 18
n = 18 years
Hence, Time period required to pay off the mortgage = 18 years
