Answer:
c. The company's contribution margin ratio is 40%.
Explanation:
Contribution margin ratio = contribution margin / revenue
contribution margin = total revenue - total variable cost
$100 - $60 = $40
$40 / $100 = 0.4
Breakeven pont = fixed cost / price - variable cost
$12,000 / $100 - $60 = 300
fixed cost per unit decreases as sales increases and decreases as sales decreases
In the context of a firm's statement of cash flows, ________ include the purchase, sale, or investment in fixed assets, such as real estate, equipment, and buildings.
Answer: investing activities
Explanation:
Investing activities is one of the categories of the net cash activities that is shown on a cash flow statement. It should be noted that investing activities is the buying and selling of long-term assets and every other business investments.
Investing activities include the purchase, sale, or investment in fixed assets, such as real estate, equipment, and buildings.
An electric power plant uses solid waste for fuel in the production of electricity. the cost Y in dollars per hour to produce electricity is Y=11+0.4X+0.29X2, where X is in megawatts. Revenue in dollars per hour from the sale of electricity is 16X−0.2X2. Find the value of X that gives maximum profit. (Round to two decimal places.)
Answer:
The value of X that gives maximum profit is 15.92.
Explanation:
Before answering the question, Y and Revenue (R) given in the question are first correctly restated as follows:
Cost = Y = 11 + 0.4X + 0.29X^2 .......................................... (1)
Revenue = R = 16X − 0.2X^2 .............................................. (2)
Differentiating each of equations (1) and (2) with respect to X to obtain marginal cost (MC) and marginal revenue (MR), we have:
dY/dX = MC = 0.4 + 0.58X .................................................. (4)
dR/dX = MR = 16 - 0.4X ....................................................... (5)
In production theory, profit is maximized when MR = MC. Therefore, we equate equations (4) and (5) and solve for X as follows:
0.4 + 0.58X = 16 - 0.4X
0.58X + 0.4X = 16 - 0.4
0.98X = 15.6
X = 15.6 / 0.98
X = 15.92
Therefore, the value of X that gives maximum profit is 15.92.
Toyota will bring hybrid electric automobiles to market next year priced at $27 comma 000 (this includes a $6 comma 750 federal tax credit). At $1.89 per gallon of gasoline, it will take 11 years to recoup the difference in price between a base model Toyota Camry and its four-cylinder gasoline-only counterpart. The price difference is $4 comma 180. If the hybrid vehicle is driven for 15 years, what is the internal rate of return on the extra investment in the hybrid?
Answer:
4.15%
Explanation:
In order to determine the annual saving we must divide the extra cost of the hybrid by the amount of years it takes to recoup our investment.
annual savings = $4,180 / 11 years = $380 per year
our initial investment = -$4,180
since we are going to use the car during 15 years, then we have 15 positive cash flows of $380
using a financial calculator or excel spreadsheet, the internal rate of return (IRR) on our investment = 4.15%
Don Wyatt is unable to reconcile the bank balance at January 31. Don?s reconciliation is as follows.
Cash balance per bank $3,800.20
Add: NSF check 570.00
Less: Bank service charge 35.00
Adjusted balance per bank $4,335.20
Cash balance per books $4,115.20
Less: Deposits in transit 650.00
Add: Outstanding checks 940.00
Adjusted balance per books $4,405.20
Prepare a correct bank reconciliation.
Answer and Explanation:
The preparation of the correct bank reconciliation is presented below:
Don Wyatt
Bank reconciliation statement
January 31
Particulars Amount Particulars Amount
Bank cash balance $3,800.20 Company cash balance $4,115.20
Deposits in transit $650 Less: NSF check -$570
Less: Outstanding Less: service fee -$35
Check -$940
Bank balance Company balance
After reconciliation $3,510.20 After reconciliation $3,510.20
We adjust the transactions according to the bank balance and book balance so that the both balance could be matched accordingly
Wolfpack Construction has the following account balances at the end of the year. Accounts Balances Equipment $ 19,000 Accounts payable 1,600 Salaries expense 26,000 Common stock 12,000 Land 11,000 Notes payable 13,000 Service revenue 32,000 Cash 4,600 Retained earnings ?
Answer:
$6,000
Explanation:
Net income for the year = Service revenue - Salaries
= $32,000 - $26,000
= $6,000
Since Net income = retained earnings,
Therefore, retained earnings = $6,000
A consumer values a car at $30,000 and a producer values the same car at $20,000. What amount of tax will result in unconsummated transaction
The question is incomplete:
A consumer values a car at $30,000 and a producer values the same car at $20,000. If the transaction is completed at $24,000, what level of sales tax will result in unconsummated transaction?
a. 0%
b. 25%
c. 20%
d. 40%
Answer:
d. 40%
Explanation:
The unconsummated transaction would occur when the price that the customer has to pay is higher than the value that he gave to the car. According to that, the answer would be the tax that would increase the final price to more than $30,000:
0%: $24,000
25%: 24,000*1.25= $30,000
20%: 24,000*1.20= $28,800
40%: 24,000*1.40= $33,600
The answer is that the amount of tax will result in an unconsummated transaction is 40%.
The city of New Orleans has 200 advertising companies, 199 of which employ designers of normal ability at a salary of $100,000 a year. The companies that employ normal designers each collect $500,000 in revenue a year, which is just enough to ensure that each earns exactly a normal profit. The 200th company, however, employs Janus Jacobs, an unusually talented designer. Because of Jacobs's talent, this company collects $1,000,000 in revenue a year.
Required:
a. How much will Jacobs earn?
b. What proportion of his annual salary will be economic rent?
c. Will the advertising company for which Jacobs works be able to earn an economic profit?
Answer:
a. Jacob should earn= $100,000 + ($1,000,000 - $500,000)
= $100,000 + $500,000
=$600,000
Hence, Jacob earns $600,000
b. The economic rent is the amount by which payment of Jacob(600,000) exceed the reservation price of the supplier(100,000)
Thus, the economic rent = 600,000 - 100,000 = $500,000
Proportion of Economic rent = Economy rent / Salary of jacob
= $500,000 / $600,000
= 5/6
Hence, the proportion of the economic rent of Jacob is salary is 5/6
c. The advertising company will not be able to make an economic profit because if they withhold some additional revenue made because of hiring Jacob, then he will switch to another advertising company at a higher salary and that company keep on making profit. The company should bid for Jacob until firm are indifferent on paying $600,000 or hiring someone else for $100,000 . Thus, the bidding of Jacob will continue until the salary of Jacob has bid up to a level where no company can make economic profits
Suppose that a perfectly competitive firm faces a market price of $7 per unit, and at this price the upward-sloping portion of the firm's marginal cost curve crosses its marginal revenue curve at an output level of 1 comma 400 units. If the firm produces 1 comma 400 units, its average variable costs equal $6.50 per unit, and its average fixed costs equal $0.80 per unit.
Required:
a. What is the firm's maximizing (or loss-minimizing output level?
b. What is the amount of it's economic profits (or losses) at this output level?
Answer:
1. This firm have the profit maximizing output level of 1400 units because a firm in any industry will maximize profit where MR=MC. Here MR is equal to MC at the output level of 1400. So profit maximizing level of output is 1400 units.
2. Economic profit = Total revenue - total cost.
Where, Total revenue = Quantity * price
= 1400 * 7
= $9,800
Total variable cost = AVC * quantity
= 6.50 *1400
= $9,100
Total fixed cost = AFC * quantity
= 0.80 * 1400
= $1,120
Economic profit = Total revenue - Total variable cost - Total fixed cost
Economic profit = $9,800 - $9,100 - $1,120
Economic profit = -$420
. The firm is having economic loss equal to 420.
Conclusion: This firm is facing economic loss in its output.
Levine Company uses the perpetual Inventory system.
Apr. 8 Sold merchandise for $5,700 (that had cost $4,212) and accepted the customer's Suntrust Bank Card. Suntrust charges a 4% fee.
12 Sold merchandise for $5,600 (that had cost $3,629) and accepted the customer's Continental Card. Continental charges a 2.5% fee.
Prepare journal entries to record the above credit card transactions of Levine Company. (Round your answers to the nearest whole dollar amount.)
Answer:
Journal entries are given below
Explanation:
April 8
Sales
DEBIT CREDIT
Cash $5,472
Credit Expense (5700x4%) $228
Sales Revenue $5,700
Cost of Sales
DEBIT CREDIT
Cost of goods sold $4,212
Inventory $4,212
April 12
Sales
DEBIT CREDIT
Cash $5,460
Credit card expense (5600x2.5%) $140
Sales Revenue $5,600
Cost of sales
DEBIT CREDIT
Cost of goods sold $3,629
Inventory $3,629
Swing Co. has 9% annual coupon bonds that are callable and have 18 years left until maturity. The bonds have a par value of $1,000, and their current market price is $1,130.35. However, Swing Co. may call the bonds in eight years at a call price of $1,060. What are the YTM and the yield to call (YTC) on Swing Co.’s bonds?
Answer:
YTM = 7.77%
YTC = 7.62%
Explanation:
YTM = {coupon + [(face value - market value)/n]} / [(face value + market value)/2]
YTM = {90 + [(1,000 - 1,130.35)/18]} / [(1,000 + 1,130.35)/2]
YTM = 82.758333 / 1,065.175 = 0.07769 = 7.77%
YTC = {coupon + [(call value - market value)/n]} / [(call value + market value)/2]
YTC = {90 + [(1,060 - 1,130.35)/8]} / [(1,000 + 1,130.35)/2]
YTC = 81.20625 / 1,065.175 = 0.07623 = 7.62%
a. Galaxy Sales has sales of $746,700, cost of goods sold of $603,200, and inventory of $94,300. How long on average does it take the firm to sell its inventory
Answer:
days of inventory on hand if 360 days is used = 360 / 6.396607 = 56.28 days
days of inventory on hand if 365 days is used = 365 / 6.396607 = 57.06 days
Explanation:
We are to determine the days of inventory on hand
days of inventory on hand = number of days in a period / inventory turnover
inventory turnover = cost of goods sold / inventory - $603,200 / $94,300 = 6.396607
days of inventory on hand if 360 days is used = 360 / 6.396607 = 56.28 days
days of inventory on hand if 365 days is used = 365 / 6.396607 = 57.06 days
A company discarded a computer system originally purchased for $18,000. The accumulated depreciation was $17,200. The company should recognize a(an):
Answer:
The company should recognize a $800 loss.
Explanation:
Depreciation is the loss of value of an asset over its useful life, and because of the accrual principle, this depreciation is matched, as an expense, with the revenues that the asset produces in a specific period of time.
In this case, the company has expensed $17,200 over the computer system useful life. When the computer system was finally discarded, $800, representing the difference between the accumulated depreciation and the original cost of the system, where not expensed. For this reason, this $800 have to be recognized as a loss.
The Walthers Company has a semi-annual coupon bond outstanding. An increase in the market rate of interest will have which one of the following effects on this bond?
a. increase the coupon rate.
b. decrease the coupon rate.
c. increase the market price.
d. decrease the market price.
e. increase the time period.
Answer:
The answer is D.
Explanation:
An increase in the market rate of interest of a bond will decrease the market price of the bond. Market rate of interest of a bond is inversely related to the market price of the bond.
For example, A bonds is issued with a higher interest rate, the price of existing bonds will fall because the demand for this bond falls.
Allowance for Doubtful Accounts has a credit balance of $2,100 at the end of the year (before adjustment), and an analysis of customers' accounts indicates uncollectible receivables of $19,700. Which of the following entries records the proper adjustment for bad debt expense?
a. debit Bad Debt Expense, $21,800; credit Allowance for Doubtful Accounts, $21,800
b. debit Allowance dfor Doubtful Accounts, $17,600; credit Bad Debt Expense, $17,600
c. debit Allowance for Doubtful Accounts, $21,800; credit Debt Expense, $21,800
d. debit Bad Debt Expense, $17,600; crdit Allowance for Doubful Accounts, $17,600
Other receivables includes all of the followoing EXCEPT:
a. taes receivable
b. interest receivable
c. receivables from employees
d. notes receivabe
Answer:
1. Analysis of accounts receivables Allowance Required $19,700
Less: Credit balance available in Allowance account $2,100
Additional allowance required $17,600
The journal entry will be as follows
DEBIT CREDIT
Bad debt expenses $17,600
Allowance for doubtful accounts $17,600
Hence, the correct option is D.
2. Other receivables include all except "Notes Receivables"
Hence, the correct option is D
Cost reduction is still the number one priority for many supply chain executives, according to the MHI and Deloitte survey. Select one: True False
Answer:
MHI and Deloitte Survey
Cost Reduction #1 Priority
True
Explanation:
For supply chain companies to achieve their profit targets, they need to curtail costs. Consumers are not ready to absorb much costs as they are presented with low-priced alternatives. The competition for customers among supply chain organizations is very high. Everyone competes for the dollar the consumer is willing to spend on goods. With property and advertising costs skyrocketing, careful management of the cost structure is required.
Suppose a ten firm industry has total sales of $35 million per year. The largest firm have sales of $10 million, the third largest firm has sales of $4 million, and the fourth largest firm has sales of $2 million. If fifth through tenth largest firms combined have annual sales of $12 million, the fourfirm concentration ratio for this industry is
Answer:
0.66
Explanation:
the fourfirm concentration ratio is the sum of the concentration ratio of the four largest firms in the industry.
The sales of the second largest firm = $35 million - ( $10 million + $4 million+ $2 million + $12 million ) = $7 million
concentration ratio of firm 1 = $10 million / $35 million = 0.29
concentration ratio of firm 2 = $7 million / $35 million = 0.2
concentration ratio of firm 3 = $4 million / $35 million = 0.11
concentration ratio of firm 4 = $2 million / $35 million = 0.06
Adding the ratios together = 0.66
Bookmark question for later Cross-training workers does the following for your workers a. creates a sense of achievement and job satisfaction b. workers take pride as they help their companies compete through higher productivity c. helps reduce turnover d. all of the above e. only a and b
Answer:
d. all of the above
Explanation:
Cross-training applies to workers, who are trained for different spectrum other than their job responsibilities.
Cross-training workers are multitasking and do the following tasks:
They helps other employees to appreciate each other’s jobs.They help companies through higher efficiency & productivity and are proud of that. Cross-training forces also helps in reducing the turnover to gain more profit.So, Cross-training workers helps to train other employees to perform new tasks in addition to their usual duties and the correct option is "d".
When the price of erasers increases from $1.50 to $2.50, the quantity demanded of pencils is unchanged. The cross-price elasticity of demand between erasers and pencils is
Answer:
The cross elasticity of demand is zero
Explanation:
Cross elasticity of demand measures the percentage change in the quantity demand of a product occasioned by a change in the price of another but related commodity.
If the the commodities are complements, the cross of elasticity of demand between them would be negative. his implies an increase(decrease) in the price of one would lead to a decrease(increase) in the demand of the other.
If the the commodities are substitutes, the cross elasticity of demand between them would be positive. This implies an increase(decrease) in the price of one would lead to a increase (decrease) in the quantity demand of the other.
Where the cross elasticity of demand is zero, this implies that the goods are not in any way related. This implies that a change in the price of one would produce no change in the quantity demand of the other.
The perceived demand for a monopolistic competitor
If the rate of inflation is 4.8 %4.8%, what nominal interest rate is necessary for you to earn a 2.2 %2.2% real interest rate on your investment? (Note: Be careful not to round any intermediate steps less than six decimal places.
Answer:
Nominal rate of return= 7.11%
Explanation:
Inflation is the increase in the price level.It erodes the value of money.rise in the price of money
Nominal interest is that quoted for investment or loan transactions. It has not been been adjusted for inflation.
Real interest rate is the amount of interest in terms of the the quantity of good and services that can be purchased. It is the nominal interest rate adjusted for inflation.
The relationship between inflation, real interest and nominal interest rate is given using the Fishers Effect;
N = ( (1+R) × (1+F)) - 1
N- nominal rate, R-real rate, F- inflation
real rate - 2.2%, inflation - 4.8%
Nominal rate of return =(1.022)× (1.048) - 1 = 0.071056
Nominal rate of return = 0.071056 × 100 = 7.1056 %
Nominal rate of return= 7.11%
Jenny promises National Bank that she will repay the loan that National Bank makes to Garrett if Garrett fails to pay it. In this instance, Jenny is the:
Answer: b. guarantor.
Explanation:
Guarantors who can also be called Sureties, are people who promise to pay the debt of another person if that person fails to honor the debt obligation. To be a Guarantor, you must have assets that will be able to cover the debt and you will probably have to pledge the assets to be collateral for the debt. Having a Guarantor increases the trust that the lender has in the lendee.
Jenny is a Guarantor as she has promised to repay the loan should Garrett default on it.
DIP LLC reports ordinary income (before guaranteed payments) of $120,000, rent expense of $40,000, and interest income of $4,000 for the year. In addition, DIP paid guaranteed payments to partner Percy of $20,000. If Percy owns a 40% capital and profits interest, how much income will he report for the year and what is its character?
Answer:
$24,000 ordinary income
$1,600 interest income
$20,000 guaranteed payment.
Explanation:
Calculation for what how much income will Percy report for the year and what is its character
Calculation for Percy Ordinary income: 120,000 - 40,000 - 20,000
= 60,000 x 40%
= 24,000.
Calculation for Percy Interest income:
4,000 x 40%
= 1,600
Guaranteed Payment: 20,000
Therefore what Percy will report will be: $24,000 ordinary income
$1,600 interest income
$20,000 guaranteed payment.
g If the Fed is concerned about a possible recession, it ________ the federal funds rate and, in response, longterm interest rates ________ by a ________ amount than the change in shortterm rates. A. lowers; increase; smaller B. lowers; decrease; smaller C. raises; decrease; larger D. raises; increase; smaller E. raises; increase; larger
Answer:
The Fed
Concern about possible recession:
E. raises; increase; larger
Explanation:
The federal funds rate is a short-term monetary policy tool that the Federal Reserve deploys to control expansionary or recessionary economic conditions. It is the interest rate that Federal Reserve allows banks with excess to charge other banks that need to borrow to shore up their deficits. This interest rate is a short-term rate when compared to the long-term interest rates that banks charge consumers of its products and services. The long-term interest rates are affected by the inflation rates.
On July 9, Mifflin Company receives a $10,400, 90-day, 8% note from customer Payton Summers as payment on account. What entry should be made on July 9 to record receipt of the note
Answer: Debit Notes Receivable $10,400; credit Accounts Receivable $10,400.
Explanation:
Mifflin Company is receiving the note back from Payton Summers which means that Payton Summers intends to settle their account. The correct entry to record therefore is one that closes off the Notes Receivable account by debiting it as it was on a credit balance.
The other account would be the Accounts Receivable account which would need to be credited by the amount owed to close off the account as it was on a debit balance as Accounts Receivables are when customers are still owing.
The Pennington Corporation issued a new series of bonds on January 1, 1985. The bonds were sold at par ($1,000); had a 12% coupon; and mature in 30 years, on December 31, 2014. Coupon payments are made semiannually (on June 30 and December 31). a. What was the YTM on January 1, 1985?
Answer:
The YTM on January 1, 1985 was 6.00%.
Explanation:
The YTM is the interest rate used to determine the Present Value of Coupons and Principle and can be found as follows :
PV = $1,000
Pmt = ($1,000 × 12 %) / 2 = - $60
P/yr = 1
n = 30 × 2 = 60
Fv = - $1,000
YTM = ?
Using a Financial Calculator, the YTM is 6.00%
Therefore, the YTM on January 1, 1985 was 6.00%.
Which of the following is NOT an option for remedying a cost disadvantage associated with activities performed by forward channel allies (wholesale distributors and retail dealers)?
a. Change to a more economical distribution strategy such as putting more emphasis on cheaper distribution channels (perhaps direct sales via the Internet) or perhaps integrating forward into company-owned retail outlets
b. Enhance differentiation through activities such as cooperative advertising) at the forward end of the value chain
c. Pressure distributors/dealers and other forward-channel allies to reduce their costs and markups
d. Insisting on across-the-board cost cuts in all value chain activities—those performed by suppliers, those performed in- house, and those performed by distributors/dealers
e. Collaborate with forward channel allies to identify win-win opportunities to reduce costs
Answer: d. Insisting on across-the-board cost cuts in all value chain activities—those performed by suppliers, those performed in- house, and those performed by distributors/dealers
Explanation:
The cost disadvantage is from the forward channel allies and not an across the board problem which involves all value chain activities. As such, the solution should be garnered towards the forward channel allies.
Insisting on cuts in areas that could be already functioning efficiently could lead to a loss of that efficiency.
Insisting on across-the-board cost cuts in all value chain activities is therefore not an option for remedying a cost disadvantage associated with activities performed by forward channel allies.
The Juarez family is looking for a new cable company. After conducting research, they decide on a new cable provider. They call the new cable provider and mention they are going to switch from another provider. The salesperson at the new cable provider congratulates the Juarez family and lets them know that the new provider has been rated the highest in customer satisfaction in the industry. The salesperson tells them that if they sign up today for cable service, he will offer them a great monthly rate plus a free three-month trial of ten premium channels that they can cancel at any time. The Juarez family likes what they hear, and they sign up for the service. The salesperson has used which type of IMC marketing materials to close the sale?
The correct answer to this open question is the following.
Although there are no options provided, we can say the following.
The IMC marketing material to close the sale was the personal selling tool, using persuasion, and highlighting the benefits of the service to close the sale.
We are talking about Integrated Marketing Communications that include different disciplines such as Public Relations, Promotions, Sales, or Advertising. These resources are used by companies to plan and implement programs aimed to offer their products and services and closing the sale, relying on good customer service. Most of the modern campaigns include IMC to support the marketing effort.
Buhao Construction currently is all-equity-financed. It has 17,000 shares of equity outstanding, selling at $100 a share. The firm is considering a capital restructuring. The low-debt plan calls for a debt issue of $270,000 with the proceeds used to buy back stock. The debt will pay an interest rate of 11%. The firm pays no taxes.
a. What will be the debt-to-equity ratio if it borrows $220,000? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Debt-to-equity ratio
b. If earnings before interest and tax (EBIT) are $130,000, what will be earnings per share (EPS) if Reliable borrows $220,000? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
EPS $
c. What will EPS be if it borrows $420,000? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
EPS $
Answer:
Buhao Construction
a) Debt-to-Equity Ratio if it borrows $220,000
= Debit/Equity
= $220,000/$1,700,000
= 12.94%
b. EPS = $195,800/17,000
= $11.52
c. EPS = $173,800/17,000
= $10.22
Explanation:
a) Data and Calculations:
Outstanding Equity = 17,000 shares x $100 = $1,700,000
Interest rate = 11%
It is assumed that Buhao Construction pays no taxes
EBIT = $130,000
Debit = $220,000
Interest Expense = $24,200
Net Income = $195,800 ($220,000 - 24,200)
Debit = $420,000
Interest Expense = $46,200
Net Income = $173,800 ($220,000 - 46,200)
b) Debt-to-Equity Ratio of Buhao Construction is the relationship in ratio terms between debts and equity of the company. It shows the percentage of debts over the stockholders' equity.
c) EPS or Earnings per share shows the net income of Buhao Construction that can be attributed to each share. Stockholders use this measure to learn the profits that are generated for each share by the company during the period. A high EPS indicates that the business is profitable for stockholders.
If you put up $39,000 today in exchange for a 6.5 percent, 16-year annuity, what will the annual cash flow be? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Answer:
$3,992.73
Explanation:
For computing the annual cash flow we need to apply the PMT formula i.e to be shown in the attachment below:
Given that,
Present value = $39,000
Future value or Face value = $0
RATE = 6.5%
NPER = 16 years
The formula is shown below:
= PMT(RATE;NPER;-PV;FV;type)
The present value come in negative
So, after applying the above formula, the annual cash flow is $3,992.73
One of your customers is delinquent on his accounts payable balance. You’ve mutually agreed to a repayment schedule of $500 per month. You will charge 1.2 percent per month interest on the overdue balance.
If the current balance is $11,000, how long will it take for the account to be paid off? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Answer:
It will take approximately 25.70 months for the the account to be paid off.
Explanation:
Assuming the customer pays at the end of every month, the relevant formula to use is therefore the formula for calculating the present value of an ordinary annuity as follows:
PV = P * [{1 - [1 / (1 + r)]^n} / r] …………………………………. (1)
Where;
PV = Present value or current balance = $11,000
P = Monthly repayment = $500
r = interest rate = 1.2%, or 0.012
n = number of months = ?
Substitute the values into equation (1) and solve for n, we have:
11,000 = 500 * [{1 - [1 / (1 + 0.012)]^n} / 0.012]
11,000 / 500 = {1 - [1 / (1 + 0.012)]^n} / 0.012
22 * 0.012 = 1 - 0.988142292490119^n
0.264 = 1 - 0.988142292490119^n
0.988142292490119^n = 1 - 0.264
0.988142292490119^n = 0.736
Loglinearizing both sides, we have:
n * log (0.988142292490119) = log (0.736)
n = log (0.736) / log (0.988142292490119)
n = -0.133122185662501 / -0.00518051250378013
n = 25.70
Therefore, it will take approximately 25.70 months for the the account to be paid off.