Answer:
Dr Interest expense $340
Cr Interest payable $340
Explanation:
Preparation of the adjusting entry at December 31, 2019
First step is to calculate the interest expense to be debited
Interest expense for 2019 $540
(12,000*6%*9/12)
Less Interest expense already debited ($200)
Interest expense to be debited $340
($540-$200)
Now let Prepare the journal entry
December 31, 2019
Dr Interest expense $340
Cr Interest payable $340
($540-$200)
(Being Interest expense recorded)
Item1 1 points eBookAskReferencesItem 1 TB MC Qu. 06-91 The following information... The following information is taken from Reagan Company's December 31 balance sheet: Cash and cash equivalents $ 8,419 Accounts receivable 70,422 Merchandise inventories 60,362 Prepaid expenses 4,100 Accounts payable $ 14,950 Notes payable 86,638 Other current liabilities 9,500 If net sales for the current year were $612,000, the firm's days' sales uncollected for the year is: (Use 365 days a year.)
Answer: 42 days
Explanation:
To solve the above question, first, we will have to calculate the debtors turnover ratio which is the date sales uncollected for the year. This will be:
= Sales/Average Accounts Receivables
= $612,000 / $70,422
= 8.69 times
Since we are using 365 days for a year, then the firm's days sales uncollected for the year will be calculated as:
= 365 / 8.69
= 42 days
A company has fixed costs of $96,800. Its contribution margin ratio is 44% and the product sells for $61 per unit.
What is the company's break-even point in dollar sales?
$220,000
Explanation:
Calculation for the company's break-even point in dollar sales
Using this formula
Break-Even point in dollars sales= Fixed Costs ÷ Contribution Margin
Let plug in the formula
Break-Even point in dollars sales=$96,800/44%
Break-Even point in dollars sales=$220,000
Therefore the company's break-even point in dollar sales will be $220,000.
0.0004×0.81/0.0027×0.004
Answer:
0.00048
Explanation:
I hope this helped
Who is the Father of accounting
Answer:
Luca Pacioli
Luca Pacioli, was a Franciscan friar born in Borgo San Sepolcro in what is now Northern Italy in 1446 or 1447.
Problem 4-54 (LO. 4, 5) Linda and Don are married and file a joint return. In 2020, they received $12,000 in Social Security benefits and $35,000 in taxable pension benefits and interest. The applicable higher/lower bases for Social Security computations for married filing jointly are $32,000 and $44,000. a. Compute the couple's adjusted gross income on a joint return. $fill in the blank 7fe2a4f7afc4f82_1 b. Don would like to know whether they should sell for $100,000 (at no gain or loss) a corporate bond that pays 8% in interest each year and use the proceeds to buy a $100,000 nontaxable State of Virginia bond that will pay $6,000 in interest each year. Assume that their marginal tax rate is 12%. Although the interest received on the state bond is , it still is in modified adjusted gross income, impacting the taxability of the Social Security benefit. Their AGI would be $fill in the blank c572caf67feefd0_3 . c. In the preceding situation part (a), if Linda works part-time and earns $30,000, by how much would Linda and Don's adjusted gross income increase
Answer:
The answer to this question can be defined as follows:
Explanation:
For point a:
Chargeable advantages to social welfare:
[tex]=0.5(\$35000+0.5(\$12000)-\$32000)\\\\ =0.5(9000)\\\\=\$4500[/tex]
Pension benefits etc $35 thousand
Total AGI= [tex]\$39,500[/tex]
For point b:
Additional revenue [tex](\$3,500-\$8,000) = \$27,000[/tex]
Taxable [tex]SSB0.5(27000+\$6000+0.5\times 12000-\$32000)=\$3500[/tex]
AGI = [tex]\$30,500[/tex]
Less: AGI in (a) [tex](\$39,500)[/tex]
Decrease [tex](\$9000)[/tex]
Tax payers' financial income has been down by [tex]\$2000[/tex], but taxable AGI is down by $9,000. The reduction of [tex]\$650(\$2000-\$9000\times 15 \%)[/tex] with a [tex]15\%[/tex]MTR after the tax income.
For point c:
The least of follows [tex]1). \ \ 0.85( \$65000+0.5 \times 12000-\$44000) = \$22950[/tex]
Smaller than that one
Calculated amount with the first formula
Less:
[tex]0.5\times 12000 = \$6000\\\\0.5(\$65000+0.5 \times 12000-\$32000)= \$19500 \ \ or \ \ \$6000\\\\\$22950 +\$6000 = \$28950 \\\\2.0.85 \times 12000 = \$10200[/tex]
That is why Linda and Don have [tex]85\%[/tex]of their gross income from the SSB [tex]\$10200[/tex].
The benefits of social security [tex]\$10200[/tex]
Additional revenues [tex]=\$35000+\$30000 \ \ (addl.inc)= \$ 65000[/tex]
AGI [tex]\$75,200[/tex]
Less (a) AGI ([tex]\$39,500[/tex])
Increases [tex]\$ 35,700[/tex]
AGI growth exceeds earnings increases because more SSB is taxed.
Item9 Time Remaining 34 minutes 55 seconds00:34:55 Item 9 Time Remaining 34 minutes 55 seconds00:34:55 Babuca Corporation has provided the following production and total cost data for two levels of monthly production volume. The company produces a single product. Production volume 13,900 units 15,000 units Direct materials $ 813,150 $ 877,500 Direct labor $ 215,450 $ 232,500 Manufacturing overhead $ 1,011,500 $ 1,024,150 The best estimate of the total variable manufacturing cost per unit is: (Round your intermediate calculations to 2 decimal places.) Multiple Choice
Answer:
$85.50
Explanation:
Particulars Amount Amount Difference
Direct materials $813,150 $877,500 $74,350
Direct labor $215,450 $232,500 $17,050
Manufacturing OH $1,011,500 $1,024,150 $12,650
T.V. Overheads 2040100 2134150 $94,050
Production Volume 13,900 15,000 1,100
Variable Cost per unit $85.50
Shale Remodeling uses time and materials pricing. It is setting prices for next year using the following information: Labor rate, including fringe benefits$75per hourAnnual labor hours 6,350hoursAnnual materials purchase$1,206,250 Materials purchasing, handling, and storage$241,250 Overhead for depreciation, taxes, insurance, etc.$670,000 Target profit margin for both labor and materials 25% What should Shale set as the materials markup per dollar of materials used
Answer:
45%
Explanation:
Annual material purchase $1,206,250
Material purchasing, handling and storage cart $241,250
Material purchasing, handling and storage % on 20%
material purchase ($241,250/$1,206,250*10)
Target profit margin 25%
Material markup per dollar of material used 45%
1. What is the purpose of a bank statement?
Answer:
to hold money on a account
Explanation:
Bank statements are a great tool to help account holders keep track of their money. They can help account holders track their finances, identify errors, and recognize spending habits.
You bought two acres of land for $200,000 ten years ago. Although it is zoned for commercial use, it currently holds eight small, singlefamily houses. A property management firm that wants to continue leasing the eight houses has offered you $400,000 for the property. A developer wants to build a 12-story apartment building on the site and has offered $600,000. What value should you assign to the property
Answer:
$500,000
Explanation:
in order to calculate the value you should determine the expected return or sales price of the land = price of land x probability of sale
In this case, you have two offers and apparently you haven't decided which to choose, so the expected return = ($400,000 x 50%) + ($600,000 x 50%) = $200,000 + $300,000 = $500,000
You purchased eight put option contracts with a strike price of $30 and a premium of $1.10. What is the total net amount you will receive for your shares if you exercise this contract when the underlying stock is selling for $26.50 a share
Answer:
$23120
Explanation:
The computation of the total net amount received is shown below:
Total Premium Paid
= 800 Option × $1.10
= $880
And,
Amount Received is
= 800 Option × $30
= $24000
So, Net Amount Received is
= $24000 - $880
= $23120
A machine makes three different components used in a gyroscope. Call these components A, B, and C. The following repeating schedule is used to make components: make 100 units of A, make 50 units of B, and then make 200 units of C. How many components are made in the production cycle
Answer:
350
Explanation:
Calculation for How many components are made in the production cycle
Components A 100 units
Components B 50 units
Components C 200 units
Total 350 components
Therefore How many components are made in the production cycle is 350 components
Jennifer has recently found a new job at a local architectural firm. They have offered her a chance to invest money for her retirement. For every 6 percent Jennifer invests from her salary, her company will fund 3 percent. What type of investment does this describe?
A.
money market mutual fund
B.
certificate of deposit
C.
bond
D.
401k
The answer is D.) 401k
Don't worry about the picture it tells you the correct answer
Hope this helps
401k is the investment option offered by Jenifer’s employer to her.
What is a 401K plan?Popularly known as an employer-sponsored retirement plan, a 401(K) plan allows certain eligible employees to make tax-deferred contributions from their pay or compensation, based on pre-established criteria. A 401(k) match is money put into your account by your employer. Up to a predetermined percentage of your pay, your company will match all or a portion of every dollar you put into your 401(k). Employer matching is a crucial perk of your employment that, over time, can greatly increase your 401(k) retirement savings. The employer contribution is pre-tax, whereas the employee contribution is post-tax.
Employers who offer 401(K) plans are also allowed to include a profit-sharing component in the plan as well as make matching or non-elective payments to the plan on behalf of eligible employees.
The typical 401(k) plan is very versatile and provides close to 25 distinct investment possibilities. The fund fees, which were formerly a significant problem, have been steadily declining, which lessens the strain on employees' retirement funds. In fact, the 401(k) contributions that invested a sizeable sum in these index funds as low cost and low risk methods of engaging in the equity markets are responsible for the index funds' quick surge in popularity in the US, including Vanguard and Blackrock. Employees have access to a low-cost way to invest for the future, and since 401(k) contribution limits are inflation-indexed, participants can gradually make higher contributions.
Employers most frequently match worker contributions up to a percentage of annual income. There are a number possible ways to implement this constraint. Your employer has the option of matching all of your contributions up to a certain percentage of your overall compensation or only a portion of them. The latter circumstance necessitates you to make additional contributions to your plan in order to earn the maximum match, even while the overall cap on employer contributions stays the same.
To learn more about 401k plan, click here
https://brainly.com/question/3423296
#SPJ2
the true statement from the list below, regarding the Contribution Format Income statement. Multiple Choice The Contribution Format Income Statement could be prepared by someone external to the company just by using the reported GAAP Traditional Income Statement. The Contribution Format income statement is utilized only for external reporting purposes. The Contribution Format Income Statement is utilized for internal decisionmaking purposes. The format of the Contribution Format Income statement begins as: Sales minus Cost of Goods Sold equals Contribution Margin.
Answer:
The Contribution Format Income Statement is utilized for internal decision-making purposes.
Explanation:
The contribution format income statement is a most and useful tool for the planning and decision-making as it represents the revenue that is produced after subtracting the variable and fixed expenses. So it would be utilized for the decision-making motive for internal.
Kyle had a splitting headache. His buddy Cyrus gave him a couple of lime-green pills to take away the pain. When Kyle awoke, Cyrus was lying next to him in a pool of blood. If Kyle is tried for a crime, what could be his defense?
insanity
duress
intoxication
necessity
Answer:
necessity
Explanation:
This is necessity beause it might have been on accident to help cyrus but became a bloody murder,seems like a 3rd or a second degree murder,most likely 3rd degree,it just happend.
Answer:
C
Explanation:
bro read it and u'll know other person is wrong
An alumnus of West Virginia University wishes to start an endowment that will provide scholarship money of $40,000 per year beginning in year 5 and continuing indefinitely. The donor plans to give money now and for each of the next 2 years. If the size of each donation is exactly the same, the amount that must be donated each year at i = 8% per year is closest to:___.
a) $190.820.
b) $122.280.
c) $127.460.
d) $132.040.
Answer:
A
Explanation:
Present value of a perpetuality = amount / interest rate
= $40,000 / 0.08 = $500,000
Let D denote denote denotions
[tex]D + \frac{D}{1 + 0.8} + \frac{D}{1.08^{2} } = $500,000[/tex]
D = $190.820.
If cash is received from customers in payment for services that have not yet been performed, the business would record the cash receipt as: Multiple Choice A debit to an unearned revenue account. A debit to a prepaid expense account. A credit to an unearned revenue account. A credit to a prepaid expense account. A credit to accounts payable.
Answer:
A credit to an unearned revenue account
Explanation:
Ordinarily, when cash is received from a person whereas service has not been performed, the accounting entry is to debit cash account and credit the unearned revenue account.
Here, the receipt of cash means that revenue was realized however, the service expected have not been performed hence necessitated crediting the unearned revenue account and a debit to the asset cash for the amount received.
A household consists of a married couple and their two-year-old daughter. The couple's daughter had no income and lived with her parents all of last year. How many exemptions can the couple claim on last year's tax return if they file with the "Married filing jointly" status?
Answer:
3 is the answer
Inflation, nominal interest rates, and real rates. From 1991 to 2000, the U.S. economy had an annual inflation rate of around %. The historical annual nominal risk-free rate for this same period was around %. Using the approximate nominal interest rate equation and the true nominal interest rate equation, compute the real interest rate for that decade. What is the estimated real interest rate using the approximate nominal interest rate equation for that decade?
Answer:
the question is incomplete:
nominal interest rate = 5.07%
real interest rate = ?
inflation rate = 3.45%
approximate real interest rate = 5.07% - 3.45% = 1.62%
real interest rate = [(1 + 5.07%) / (1 + 3.45%)] - 1
real interest rate = (1.0507/1.0345) - 1 = 1.57%
Nick and Beth run a catering business in which they have two major tasks: getting new clients and preparing food for events and parties. It takes Nick 8 hours to prepare food for an event and 4 hours of effort to get each new client. For Beth, it takes 12 hours to prepare food for an event and 3 hours to get a new client.
1. Who has an absolute advantage in food preparation?
2. Who has a comparative advantage in food preparation?
Suppose that initially, Nick and Beth are both splitting both tasks for a large number of events. Then they decide to start shifting some work according to the principle of comparative advantage. In particular, the person with the comparative advantage in food preparation will take over preparing food for one more event, and the other person will use the freed-up time to get more clients. As a result, the total number of events for which food is prepared will remain unchanged, but the number of new clients will increase by __?__.
The second part threw me off and I got confused. I put up the entire problem just to see if i answered it correctly or not to see whether that was what threw me off or not. Thanks in advance! :)
Answer:
NICK
NICK
2
Explanation:
A company has absolute advantage in the production of a good or service if it produces more quantity of a good when compared to other countries
Nick prepares food in 8 hours while Beth produces the food in 12 hours. ick thus has an absolute advantage in food preparation because he produces food in less time
A country has comparative advantage in production if it produces at a lower opportunity cost when compared to other countries.
Opportunity cost of Nick in food preparation = 4/8 = 0.5 hours
Opportunity cost of Beth in food preparation = 3 / 12 = 0.25 hours
Nick has a comparative advantage in food preparation
3) Tobi owns a perpetuity that will pay $1,500 a year, starting one year from now. He offers to sell you all of the remaining payments after the next 25 payments have been paid. (A) What price should you offer him for payments 26 onward if you desire a rate of return of 8 percent
Answer:
you should pay up to $2,737.84 to Tobi
Explanation:
first, the terminal price of the perpetuity must be determined = annual payment / r = $1,500 / .08 = $18,750
now, the present day value of the future terminal value
present value = future value / (1 + r)ⁿ = $18,750 / (1 + 8%)²⁵ = $2,737.84
An incomplete subsidiary ledger of materials inventory for May is as follows:
RECEIVED ISSUED BALANCE
Receiving Materials
Report Unit Requisition Unit
Number Quantity Price Number Quantity Amount Date Quantity Price Amount
May 1 285 $30.00 $8,550
40 130 $32.00 May 4
91 365 May 10
44 110 38.00 May 21
97 100 May 27
Required:
A. Complete the materials issuances and balances for the materials subsidiary ledger under FIFO.
B. Determine the materials inventory balance at the end of May.
C. Journalize the summary entry on May 31 to transfer materials to work in process. Refer to the Chart of Accounts for exact wording of account titles.
D. Explain how the materials ledger might be used as an aid in maintaining inventory quantities on hand.
Chart of Accounts
CHART OF ACCOUNTS
General Ledger
ASSETS
110 Cash
121 Accounts Receivable
125 Notes Receivable
126 Interest Receivable
131 Materials
132 Work in Process
133 Factory Overhead
134 Finished Goods
141 Supplies
142 Prepaid Insurance
143 Prepaid Expenses
181 Land
191 Factory
192 Accumulated Depreciation-Factory
LIABILITIES
210 Accounts Payable
221 Utilities Payable
231 Notes Payable
236 Interest Payable
241 Lease Payable
251 Wages Payable
252 Consultant Fees Payable
EQUITY
311 Common Stock
340 Retained Earnings
351 Dividends
390 Income Summary
REVENUE
410 Sales
610 Interest Revenue
EXPENSES
510 Cost of Goods Sold
520 Wages Expense
531 Selling Expenses
532 Insurance Expense
533 Utilities Expense
534 Office Supplies Expense
540 Administrative Expenses
560 Depreciation Expense-Factory
590 Miscellaneous Expense
710 Interest Expense
Materials Inventory
Shaded cells have feedback.
A. Complete the materials issuances and balances for the materials subsidiary ledger under FIFO.
RECEIVED
ISSUED
BALANCE
Receiving Materials
Report Unit Requisition
Number Quantity Price Number Quantity Amount Date Quantity Unit Price Amount
May 1 285 $30.00 $8,550
40 130 $32 May 4
91 365 May 10
44 110 38 May 21
97 100 May 27
Points:
12 / 20
B. Determine the materials inventory balance at the end of May.
Points:
0 / 1
Feedback
Check My Work
A and B. Calculate the amount of each materials issue, using FIFO. In the Balance section, separate each different unit price and its quantity.
Journal
Shaded cells have feedback.
C. Journalize the summary entry on May 31 to transfer materials to work in process. Refer to the Chart of Accounts for exact wording of account titles.
How does grading work?
PAGE 10
JOURNAL
C. Increase work in process and decrease materials for the total of issuances found in Req. A.
Final Question
Shaded cells have feedback.
D. Explain how the materials ledger might be used as an aid in maintaining inventory quantities on hand.
Comparingquantities on hand as reported in the materials ledger with predetermined order points enables management to order materials beforea lack of materials causes idle time.
Answer:
An incomplete subsidiary ledger of materials inventory for May is as follows:
A. Materials Issuances and balances for the materials subsidiary ledger under FIFO:
RECEIVED ISSUED BALANCE
Receiving Materials
Report Unit Requisition Unit
Number Qty Price Number Qty Amount Date Qty Price Amount
May 1 285 $30.00 $8,550
40 130 $32.00 May 4 415 $12,710
91 365 May 10 50 $32.00 $1,600
44 110 38.00 May 21 160 $5,780
97 100 May 27 60 $38.00 $2,280
B. The materials inventory balance at the end of May is 60 units at $2,280.
C. Debit Work in Process $14,610
Credit Materials $14,610
To record the transfer of materials to work in process.
D. The materials ledger shows the quantities and costs of materials remaining at any point in time. It also indicates the dates for all related transactions. With the quantities of materials received in and issued out and the balances indicated clearly, it is possible to ensure that a required level of inventory remains in stock and to place orders at the right time.
Explanation:
a) Raw materials Inventory Issuance:
Quantity issued = 365
Cost of units issued on May 10 = $11,110 ($12,710 - 1,600)
Cost of units issued on May 27 = $3,500 ($5,780 - 2,280)
Total cost of units issued out = $14,610
Roquan, a single taxpayer, is an attorney and practices as a sole proprietor. This year, Roquan had net business income of $90,000 from his law practice (net of the associated for AGI self-employment tax deduction). Assume that Roquan pays $40,000 in wages to his employees, has $10,000 of property (unadjusted basis of equipment he purchased last year), and has no capital gains or qualified dividends. His taxable income before the deduction for qualified business income is $100,000.
1. Calculate Roquan's deduction for qualified business income.
2. Assume the same facts as earlier, except Roquan's taxable income before the deduction for qualified business income is $300,000.
Answer:
A. $18,000
B. No QBI deduction
Explanation:
a) Calculation for Roquan’s deduction for qualified business income.
Using this formula
Roquan's qualified business income.
= 20% x QBI
Let plug in the formula
Roquan's qualified business income
= 20% x $90,000
Roquan's qualified business income= $18,000
Therefore Roquan’s deduction for qualified business income will be $18,000
b) Based on the information given if we assumed that Roquan's taxable income before the deduction for qualified business income is the amount of $300,000 which means that Roquan's income is higher than the amount of $213,300 hence, NO qualified business income deduction (QBI) will be allowed.
Imagine that after completing your economics course (you get an A, of course) you are at a family gathering. Your grandmother asks you about a news story she read this morning. The story explained that when the government adjusts Social Security payments for inflation, it generally uses the CPI-W, which is the Consumer Price Index for Urban Wage Earners and Clerical Workers. Because senior citizens spend a lot more than average on medical care, adjustments to their Social Security payments are not keeping up with their cost of living.
Last year I received $15,000 per year from the government. The story said that the CPI increased from 144 to 162. How much will I get this year?
Answer:
$16,875
Explanation:
The amount received per year is $15,000 and the CPI increased from 144 to 162
Inflation rate = (New CPI - Old CPI)/Old CPI * 100
Inflation rate = 162-144/144 * 100
Inflation rate = 0.125
Inflation rate = 12.5%
Amount received = $15,000 * 12.5% = $1,875
==> $15,000 + $1,875 = $16,875
So, Grandmother will receive $16,875
2) Company issues
to invites its members to subscribe for its
Deposit scheme. (Advertisement, Circular, Newspapers)
Answer:
Advertisement.
Explanation:
An advertisement can be defined as a strategic process or technique which is typically used to bring an announcement, information or notice to the general public.
This ultimately implies that, an advertisement is a means of communication through the use of mediums such as newspapers, blogs, magazines, television, radio, flyers, pamphlets, etc., to bring a specific information or announcement to the general public.
Generally, advertisements are considered to be a form of promoting an idea, product and services.
Hence, company issues advertisement to invites its members to subscribe for its Deposit scheme.
A trading company on April 30, paid BD 750,000 for a machine which can produce 1,400,000 units in 10 years life. The machine have a salvage value of BD 50,000 and produce 25,000 units in first year, 45,000 units in second year and 70,000 units in third year. Compute depreciation expense for the Second year assuming the company uses the unit production method. O A. 22500 O B. 35000 O C. 12500 O D. 15000
Answer: A. BD 22,500
Explanation:
First find the depreciation per unit:
= (Cost of machine -Salvage value) / Total units to be produced over lifetime
= (750,000 - 50,000) / 1,400,000
= BD 0.5 per unit
There are 45,000 units to be produced in the second year:
= 45,000 * 0.5
= BD 22,500
Consumers spend _______ a year on credit card penalties and fees.
$10 million
$110 billion
$90 billion
$80 million
Sawyer Manufacturing Corporation uses a predetermined overhead rate based on direct labor-hours to apply manufacturing overhead to jobs. Last year, the Corporation worked 57,000 actual direct labor-hours and incurred $345,000 of actual manufacturing overhead cost. The Corporation had estimated that it would work 55,000 direct labor-hours during the year and incur $330,000 of manufacturing overhead cost. The Corporation's manufacturing overhead cost for the year was:
Answer:
Underapplied by $3,000
Explanation:
Calculation for what The Corporation's manufacturing overhead cost for the year was:
First step is to calculate the Predetermined Overhead rate
Predetermined Overhead rate=( $ 330,000/ 55,000)
Predetermined Overhead rate= $ 6 per labor hour
Now let calculate the Manufacturing overhead cost
Manufacturing overhead cost= (6 x 57 000)-$345,000
Manufacturing overhead cost=$342,000-$345,000
Manufacturing overhead cost=Underapplied by $3,000
Therefore The Corporation's manufacturing overhead cost for the year was:underapplied by $3,000
On January 1, 2015, Lake Co. purchased a machine for $1,056,000 and calculated depreciation using the straight-line method, with an estimated useful life of eight years, and no salvage value. On January 1, 2018, Lake determined that the machine had a useful life of six years from the date of acquisition, and a salvage value of $96,000. An accounting change was made in 2018 to reflect these data. The accumulated depreciation for this machine should have a balance at December 31, 2018, of ________. Group of answer choices
Answer:
$584,000
Explanation:
The computation of the accumulated depreciation is shown below:
But before that following calculations need to be determined
Depreciation for 3 years = $1,056,000 ÷ 8 years × 3 years
= $396,000
Now the written down value is
= $1,056,000 - $396,000 - $96,000
= $564,000
For one year it would be
= $564,000 ÷ 3
= $188,000
Now the accumulated depreciation is
= $396,000 + $188,000
= $584,000
WILL GIVE BRAINLIEST PLZ HELP
The controller (money manager) for a small company puts some money in a bank account paying 3% per year. He uses some additional money, amounting to 1/3 the amount placed in the bank, to buy bonds paying 4% per year. With the balance of the funds, he buys a 9% certificate of deposit. The first year the investments bring a return of $785. If the total of the investments is $10,000 how much is invested at each rate?
Answer:
$1,500 is invested in a bank account paying 3% per year.
$500 is used to buy bonds paying 4% per year.
$8,000 is used to buy 10% certificate of deposit
Explanation:
Let
x = money used to invest in a bank account paying 3% per year
y = money used to buy 10% certificate of deposit
Because the money used to buy bonds (that pays 4% per year) is equal to one-third of the money used to invest in a bank account paying 3% per year,
x/3 = money used to buy bonds (that pays 4% per year)
Because the total investment is $10,000, we add all the variables that represents the amount of money for each investments. So,
(1)
To compute the return of each investment, we change the rate to decimal and multiply it to the amount of investment because the problem only states the return of first year of investment. Then,
0.03x = return from a bank account paying 3% per year
0.04(x/3) = return from a bond paying 4% per year
0.1y = return from 10% certificate of deposit
Since the total return for the first year of investment is $865, we just add the returns of each investment and create the following equation:
Note: In equation (2), we want to have an equation with 3y so that when we subtract equation (1) to equation (2), we only have an equation involving x, which is easier to solve.
By subtracting equation (1) to equation (2),
(4x + 3y) - (1.3x + 3y) = 30,000 - 25,950
2.7x = 4,050
x = $1,500 = amount deposited in a bank account paying 3% per year
So,
x/3 = 1500/3
x/3 = $500 = amount used to buy bonds paying 4% per year
Using the value of x = 1,500 and replacing the value of x in equation (1),
4x + 3y = 30,000
4(1,500) + 3y = 30,000
6,000 + 3y = 30,000
3y = 24,000
y = $8,000 = money used to buy 10% certificate of deposit
On January 1, 2021, Oliver Foods issued stock options for 47,000 shares to a division manager. The options have an estimated fair value of $7 each. To provide additional incentive for managerial achievement, the options are not exercisable unless Oliver Foods' stock price increases by 6% in four years. Oliver Foods initially estimates that it is not probable the goal will be achieved. How much compensation will be recorded in each of the next four years
Answer:
$82,250
Explanation:
the compensation per year = 47,000 x 1/4 x$7 per stock = $82,250
The compensation must be allocated proportionally to every year included in the plan, regardless of the conditions specified by the plan. The stock price already implicitly includes the most probable market conditions for the company, so that is the price that has to be used to record the compensation plan.