Answer:
A. 10,000 USD
Explanation:
Total premium will be as given below
= 1 million gallons * 1 cent/gal
= 1,000,000 * (1/100)
= 10,000USD
Note: Options to question is as attached
Mize Company provided $45,500 of services on account, and collected $38,000 from customers during the year. The company also incurred $37,000 of expenses on account, and paid $32,400 against its payables. How do these events impact the elements of the horizontal financial statements model
Answer:
Total asset will increase
Explanation:
Equity and Liability Amount Effect
Service Revenue $45,500
Expenses $37,000
Profit $8,500 Increase in equity
Account Payable $4,000 Increase in liability
($37,000 - $32,400)
Total $13,100 Increase in Total assets
Asset
Cash $5,600
($38,000 - $32,400)
Account Receivables $7,500
($45,500 - $38,000)
Total $13,100 Increase in Total assets
If the level of productivity increases, then:___________A. The marginal cost curve shifts upward.B. Market price increases.C. The marginal cost curve shifts downward.D. The firm will supply less output.
Answer: C. The marginal cost curve shifts downward.
Explanation:
The level of productivity increasing means that the company is now goods per input which means that they are now more efficient at producing goods and services.
More efficiency in a company will mean that the company is spending less per input so its costs will reflect this. With marginal cost showing the effect per additional unit, this reduction in cost will be reflected by a shift downward in the Marginal cost curve.
Which programs or projects are most likely funded by taxes paid by the citizens of the United States? Select three options.
constructing a highway
public school funding
developing a vacation resort
building of private homes
maintaining state parks
Answer:
constructing a highway public school fundingmaintaining state parksExplanation:
The projects and programs funded by taxes of the United States includes social security, national security, medicare, social services, etc.
The three programs that's been listed in the options given above, that are funded by taxes paid by the citizens of the United States are:
Constructing a Highway: Highway is an important mode of transportation, thus the government pay taxes to construct highways and roadways. The government cares about the public infrastructures.Public School Funding: Public School Funding is another program that if funded by taxes by the government. The government is concerned about the future of youth and new generation, thus they invest in the future of the country.Last but not the least, maintaing state parks: Maintenance of state parks is another program funded by the government. State parks are the place that attracts tourism and many people love to go to parks thus for the welfare of public the government funds for the maintenance of state parks.Thus the correct options are constructing a highway , public school funding, and maintaining state parks.
Which programs or projects are most likely funded by taxes paid by the citizens of the United States? Select three options.
constructing a highway
public school funding
developing a vacation resort
building of private homes
maintaining state parks
Consider the following cost structures for three oil producers: Fossils R Us Green House Oils Shale Ale Plant and property $900,000 $1,500,000 $1,000,000 Extraction costs (per barrel) $45 $31 $40 Capacity per day 100,000 barrels 140,000 barrels 80,000 barrels If the price for a barrel of oil is currently $42, what is the amount of barrels produced by these suppliers?
Answer:
220,000 barrels per day
Explanation:
Fossils R Us Green House Oils Shale Ale
Plant and property $900,000 $1,500,000 $1,000,000
Extraction costs $45 $31 $40
(per barrel)
Capacity per day 100,000 barrels 140,000 barrels 80,000 barrels
In the short run, companies will continue to operate as long as the selling price is higher than the variable production costs, i.e. marginal revenue ≥ marginal costs. In this case, if the price of oil is $42 per barrel, only Green House Oils and Shale Ale will continue to operate since their production costs are lower than the selling price. Total production = 140,000 + 80,000 = 220,000 barrels
Apple Tree Enterprises allocated overhead based on direct material cost and has a predetermined overhead rate of 160%. During the current period, direct labor cost is $67,000 and direct materials cost is $73,000. In the current period, determine the amount of overhead to be applied by Apple Tree Enterprises.
Answer:
Allocated MOH= $116,800
Explanation:
Giving the following information:
predetermined overhead rate= 160% of direct material
Direct materials= $73,000
To calculate the allocated overhead, we need to use the following formula:
Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base
Allocated MOH= 1.6*73,000
Allocated MOH= $116,800
Suppose the most you would be willing to pay to have a freshly washed car before going out on a date is $4.00. The smallest amount for which you would be willing to wash someone else's car is $2.50. You are going out this evening and your car is dirty. How much economic surplus would you receive from washing it
Answer:
Economic surplus is $1.5
Explanation:
Economic surplus considers two components. The consumer surplus and the producer surplus.
Consumer surplus is difference between what a consumer is willing to pay and the market price of a good.
Producer surplus is the difference between the market price of a good and the minimum amount seller is willing to recieve for the product.
In this instance economic surplus combines the benefits that a producer and supplier gets from the product.
Consumer surplus is $4 and the producer surplus is $2.50
So if one decides to wash the car the comic surplus will be 4 - 2.50 = $1.5
Answer: $1.50
Explanation:
The economic surplus is the benefit that a person receives over what they view as the cost of the transaction.
Here you believe the car wash is worth $4.00 yet you believe the cost would be $2.50 if you did it yourself.
The surplus you are gaining therefore is;
= 4 - 2.50
= $1.50
Which method is used to compute depletion?a. Double-declining-balance methodb. Straight-line methodc. Depletion methodd. Units-of-production method
Answer:
d. Units-of-production method
Explanation:
For computing the depletion method, the units of production method is to be used as the straight line method, double declining method are to used for depreciating the fixed assets not for depleting the assets
The units of production method could be used for the depleting the natural resources like mines, etc
So, the correct option is d.
Jackie is often surprised when she goes to other countries to learn that people do business so differently. For instance, in meetings Jackie is used to getting straight to the point and addressing any relevant issues. However, she has learned that in many countries businesspeople take the time to first make small talk and ask about the family before finally getting down to business. To Jackie this seems to make the meetings unnecessarily long and wastes valuable time. These cultural differences seem strange to Jackie because she is relying on her:________ a. self-reference principle b. international bias c. self-reference criterion d. cultural relativism e. ethical perspectives
Answer:
Self reference criterion ( C )
Explanation:
The cultural differences seem strange to Jackie because she is relying on her self reference criterion
self reference criterion is the influence one's culture will have on the person when the person is exposed to a situation that is suppose to portray the culture the person is used to, but the situation portrays a different culture, hence based on her cultural values and experience she believes that small talks makes the meeting unnecessarily long
Last year, Bad Tattoo Co. had additions to retained earnings of $4,780 on sales of $95,560. The company had costs of $75,720, dividends of $2,980, and interest expense of $2,040. If the tax rate was 34 percent, what the depreciation expense?
a. $6,439.
b. $13,285.
c. $7,390.
d. $7,760.
e. $6,042.
Answer:
e. $6,042
Explanation:
Net income of Bad tattoo co. = Addition of retained earnings + Dividends
= $4,780 + $2,980
= $7,760
Income before tax of Bad tattoo Co = Net income / (1-tax rate)
= $7,760 / (1-34%)
= $7,760 / 0.66
= $11,758
But,
Income before tax = Sales - Costs
- Depreciation expense - Interest expense
$11,758 = $95,560 - $75,720 - Depreciation expense - $2,040
$11,758 = $19,840 - Depreciation expense - $2,040
Depreciation expense = $19,840 - $11,758 - $2,040
Depreciation expense = $6,042
. Discuss and Implement the Price Adjustment Strategies in current market. Apply each strategy with 3 examples along with picture. (10 Marks) (200 Words)
Answer:
There are many different price adjustment strategies which can be implemented in the current market.
Explanation:
Psychological pricing:
Psychological pricing is a strategy in which the price of a product is displayed with mostly one cent difference so the whole number shown is less by $1 and this difference can get higher if the price of the product is more.
Example 1: The price for a toy in a toy shop is $4.99, if rounded this will be $5 but the whole number visible is $4.
Example 2: The price of a laptop is $193, this again is nearly $200 but the price is reduced by $7 in order to influence their customers into buying the product.
Example 3: The price of a car is $35,995, this again is about $36,000 but the buyer may be influenced by this technique and result in purchasing the product with such price.
Geographical Pricing:
Geographical pricing is a strategy where different prices are charged in different outlets, this strategy is made keeping in mind the purchasing power of the locality, if the local people can pay higher price for a product then the price is high there but same product may have a lower price in an area where people can not pay high price.
Example 1: Price of a T-shirt is $15 in a posh area while the price of the same T-shirt is $5 in an area with poor locality.
Example 2: Price of a hair brush is $10 in a poor area while the same brush is available in a posh area at a rate of $35.
Example 3: Price for a food item is $6 in a restaurant in posh area while the same burger is available for $3 in a restaurant in a poor area.
Pineapple International uses a job order costing system. Pineapple's accounting manager estimated that direct labor would be $2,990,000 (230,000 hours at $13/hour) and that factory overhead would be $1,530,000 for the current period. At the end of the period, 210,000 hours of direct labor and $1,230,000 of actual overhead costs were recorded. Determine the predetermined overhead rate using direct labor hours as a base. (Round your answer to two decimal places.) g
Answer:
$6.65 per hour
Explanation:
We can determine the predetermined overhead rate by
Estimated factory overhead cost / Estimated number of direct labor hours.
Estimated factory overhead cost = $1,530,000
Estimated number of direct labor hours = 230,000 hours
= $1,530,000 / 230,000
= $6.65 per hour
Predetermined overhead rate is $6.65 per hour
Which best ranks Agriculture, Food, and Natural Resources careers from highest to lowest required degree?
O Veterinarian - Nursery Manager - Environmental Engineer - Landscaper
O Landscaper - Environmental Engineer - Nursery Manager - Veterinarian
O Landscaper - Nursery Manager Environmental Engineer – Veterinarian
O Veterinarian - Environmental Engineer - Nursery Manager - Landscaper
Answer:
the answer is d
Explanation:
The best ranks in Agriculture, Food, and Natural Resources careers from highest to lowest required degree is Veterinarian - Environmental Engineer - Nursery Manager - Landscaper. Thus the correct option is D.
What is a Career?A career is referred to what an individual chooses as a profession to earn something. A career of an individual is based on his talents, skills, and abilities which help him to seek growth and development and achieve the goals of life.
A Veterinarian is referred to as an individual who has the expertise to treat animals. These are referred to as professionals who diagnose diseases and provide adequate treatment based on the diagnosis.
Animals are managed manually by the majority of veterinarians in hospital locations as tools and resources are available there. These veterinarians might perform general medicine, providing care for various species of animals.
Therefore, option D is appropriate.
Learn more about Career, here:
https://brainly.com/question/2160579
#SPJ2
There are many different workplaces in the Architecture and
Construction career cluster. Select the workplaces that
sound most interesting or enjoyable to you.
A. a highway, road, or bridge
B. a large construction site
C. a home being remodeled
D. an office
E. the nonpublic areas of a large building
Answer:
It's choose your own answer so you pick it they're no wrong answers
Explanation:
The workplaces that are interesting to me in the Architecture and Construction career cluster are: C. a home being remodeled and E. the nonpublic areas of a large building.
The architecture and construction career cluster designs, plans, and constructs physical structures with aesthetic appeals and engineering considerations.
Some workers in this career cluster specialize in designing and constructing residential and commercial buildings. Others engage in landscaping, interior, green, and urban planning and designs. Some specialize in industrial designs and constructions.
Thus, I enjoy remodeling homes and private areas of public buildings because they must exhibit human touch and sensibilities.
Learn more about Architecture and Construction careers at https://brainly.com/question/17261930
A small company wishes to set up a fund that can be used for technology purchases over the next 6years.Their forecast is for $24,000 to be needed at the end of year1,decreasing by $2,000 each year there after.The fund earns 15 percent peryear.Howmuch money must be deposited to the fund at the end of year 0 to just deplete the fund after the last withdrawal
Answer:
The company should deposit $74,954.02
Explanation:
We have an annuity with a variable installment with arithmetic progression.
[tex](a_1+\frac{d}{r} +d \times n) \times \frac{1-(1+r)^{-time} }{rate} - \frac{d \times n}{r}[/tex]
We plug our values:
C = 24,000
r = -2,000
r = 0.15
n = 6
And we get a PV of 74,954.02
We can build the table to verify:
Beginning Interest Tech payment Endng
1 74,954.02 11,243.11 24,000.00 62,197.14
2 62,197.14 9,329.58 22,000.00 49,526.72
3 49,526.72 7,429.01 20,000.00 36,955.73
4 36,955.73 5,543.36 18,000.00 24,499.09
5 24,499.09 3,674.87 16,000.00 12,173.96
6 12,173.96 1,826.10 14,000.00 0.06
(there is a 6 cent mistake due to rounding but without it It will be zero-out)
What type of product modification is likely to make the greatest impact on a food product?
A) Quantity
B) Aesthetic
C) Functional
D) Versatility
E) Texture.
Answer: Aesthetic
Explanation:
The type of product modification that is likely to make the greatest impact on a food product is aesthetic.
Product Modification simply means the improvement of an existing products in such a way that necessary changes are made to the product's nature, size, color, characteristics, nature, packing etc. in order to meet consumers demand. Aesthetic in food products will help the product stand out and beautify it.
The number of taxicabs in Motorville and the taxicab fares are regulated. The fare currently charged is Rs.500 a ride. Motorville taxicab drivers want to obtain government's permission to raise the fare to increase their revenues and ask you to be their economic adviser. After studying the market, you come up with the following demand schedule for taxicab rides:
Price (Rupees per ride) Quantity demanded (rides per month)
300 160
400 120
500 80
600 40
700 0
(i) Calculate the price elasticity of demand for taxicab rides as the fare rises from Rs.500 to Rs.600. Is the demand price elastic or inelastic for this fare rise? (2 Marks)
(ii) What happens to the taxicab drivers' total revenue if the fare rises from Rs.500 to Rs.600? How can you use your answers in part “a” to answer this question? Should the drivers try to obtain permission to raise the fare? (2 Marks)
(iii) Calculate the price elasticity of demand for taxicab rides as the fare falls from Rs.500 to Rs.400. Is the demand price elastic or inelastic for this fare decrease?
Answer:
The answer is below
Explanation:
i) The price elasticity of demand is given by the formula:
[tex]Price \ elasticity\ of \ demand=\frac{\Delta Q}{\Delta P} =\frac{\frac{Q_2-Q_1}{(Q_2+Q_1)/2} }{\frac{P_2-P_1}{(P_2+P_1)/2} } \\\\Price \ elasticity\ of \ demand=\frac{\frac{40-80}{(40+80)/2} }{\frac{600-500}{(600+500)/2} }=\frac{-2/3}{2/11} =3.667 (ignore \ the\ sign)[/tex]
Since the price elasticity of demand is greater than 1 hence it is elastic
ii) Since the price elasticity of demand is elastic as a result of increase in fare, hence the total revenue would decrease.
iii)
[tex]Price \ elasticity\ of \ demand=\frac{\Delta Q}{\Delta P} =\frac{\frac{Q_2-Q_1}{(Q_2+Q_1)/2} }{\frac{P_2-P_1}{(P_2+P_1)/2} } \\\\Price \ elasticity\ of \ demand=\frac{\frac{120-80}{(120+80)/2} }{\frac{400-500}{(400+500)/2} }=\frac{0.4}{-2/9} =1.8 (ignore \ the\ sign)[/tex]
Since the price elasticity of demand is greater than 1 hence it is elastic
Many checking accounts offer multiple ways of accessing money in addition to checks. Which of these can be used to access money in a checking account? A) debit card B) credit card C) certificate of deposit D) passbook
Answer:
A, debit card
Explanation:
The correct option is A.
The following information regarding the debit card is:
The debit card is the card where the funds for the amount with respect to the purchased should be considered for the checking account. By this we can do shopping, travelling, etc.The products should be purchased to the maximum balance mentioned in the account.Learn more: brainly.com/question/17429689
"Variable costs are expenses that" ________. A. remain constant on a per-unit basis but change in total based on activity level B. decrease on a per-unit basis as activity level increases C. remain constant in total regardless of activity level within a relevant range D. remain constant on a per-unit basis and remain constant in total regardless of activity level
Answer:
A. remain constant on a per-unit basis but change in total based on activity level
Explanation:
In the short run, variable costs only vary according to the total output of the company. E.g. a company's variable cost of manufacturing product X is $10 per unit. If it produces 10,000 units, total variable costs will = $10 x 10,000 = $100,000.
In the long run variable costs will probably vary because production processes will also vary or the cost of inputs change.
Last year, Michelson Manufacturing reported $10,250 of sales, $3,500 of operating costs other than depreciation, and $1,250 of depreciation. The company had no amortization charges, it had $3,500 of bonds outstanding that carry a 6.5% interest rate, and its federal-plus-state income tax rate was 21%. This year's data are expected to remain unchanged except for one item, depreciation, which is expected to increase by $725. By how much will the depreciation change cause the firm's net after-tax income and its net cash flow to change
Answer and Explanation:
The computation is shown below:
Particulars Last year Current year
Sales $10,250 $10,250
Operating cost -$3,500 -$3,500
Operating income $6,750 $6,750
less:
Interest expense
(6.5% of 3,500) -$227.50 -$227.50
depreciation expense -$1,250 -$1,975 ($1,250 + $725)
Earning before tax $5,272.50 $4,547.50
Less: Income tax
at 21% -$1,107.23 -$954.98
Net income $4,165.27 $3,592.53
Now the net cash flow is
Net income $4,165.27 $3,592.53
Add:
Depreciation $1,250 $1,975
Total net cash flows $5,145.27 $5,567.53
Change is $422.26
Why is the global health organization important?
The World Health Organization (WHO) plays an essential role in the global governance of health and disease; due to its core global functions of establishing, monitoring and enforcing international norms and standards, and coordinating multiple actors toward common goals.
Hope this helps!
Prepare a statement of cash flows for MED Corporation. (Enter your answers in thousands. Amounts to be deducted should be indicated with a minus sign.) Cash flow from Operating Activities $ Cash flow from Investing Activities $ Cash flow from Financing Activities $ Net Change in Cash and marketable securities $
Answer:
Explanation:
Question
Prepare a statement of cash flows for MED Corporation. (Enter your answers in thousands. Amounts to be deducted should be indicated with a minus sign.) Cash flow from Operating Activities $ Cash flow from Investing Activities $ Cash flow from Financing Activities $ Net Change in Cash and marketable securities $
Managing risks refers to identifying any possible
process for
and evaluating risks.
events and taking steps to reduce them. Risk management is a continuous
Reset
Next
Answer:
Uncertain is the first blank and identifying is the second blank
Explanation:
I searched it on a business management website and it worked for Plato
ou manage an equity fund with an expected risk premium of 10% and a standard deviation of 14%. The rate on Treasury bills is 6%. Your client chooses to invest $60,000 of her portfolio in your equity fund and $40,000 in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio for the equity fund
Answer:
Reward to volatility ratio = 0.71
Explanation:
Given the expected risk premium = 10%
Standard deviation = 14%
The rate on treasury bills = 6%
The investment amount that the client chooses to invest = $60000
Expected return of equity = the expected risk premium + The rate on treasury bills
Expected return of equity = 10% + 6% = 16%
Standard deviatin = 14%
Reward to volatility ratio = (expected return - risk free rate) /standard deviation
Reward to voltality ratio = (16% -6%)/14%
Reward to voltality ratio = 0.71
Henry, who is not a dependent, states he wishes to claim EITC this year for his 35-year-old dependent child. Both reside in the U.S. Henry states that the child lives with Henry, is not married, is disabled, and has not worked during the year. What does Henry's tax preparer need to do to determine if the child can qualify Henry for EITC
Answer:
in order for Henry's child to qualify as a dependent, the following requisites must be met:
since the child is disabled, there is no age limit, but he/she must live with Henry and Henry must pay for at least half of his/her expensesthe disability must be permanent and total (a letter from a doctor, social service worker, or social service agency that provides proof of this is requiredthe child must be Henry's son or daughter, or legally adopted childHenry must have earned income (i.e. Henry must work)Henry's investment income (besides earned income) must be less than $3,650 during the last yearHenry must file as single filer or head of householdHenry must not have received foreign incomeAt the beginning of the current year, Snell Co. total assets were $254,000 and its total liabilities were $177,200. During the year, the company reported total revenues of $99,000, total expenses of $79,000 and dividends of $8,000. There were no other changes in equity during the year and total assets at the end of the year were $266,000. The company's debt ratio at the end of the current year is:
Answer:
66.62%
Explanation:
The debt ratio is the total liabilities divided by total assets. At the end of the year, total assets stood at $266,000, the increase in retained earnings which is the excess of revenue over expenses and dividends payment does not affect liabilities, as a result, liabilities stayed the same at $177,200.
Debt ratio=total liabilities/total assets
debt ratio=$177,200/$266,000
debt ratio=66.62%
Comet Company is owned equally by Pat and his sister Pam, each of whom hold 165 shares in the company. Pam wants to reduce her ownership in the company, and it was decided that the company will redeem 83 of her shares for $1,660 per share on December 31, 20X3. Pam's income tax basis in each share is $700. Comet has total E&P of $330,000. What are the tax consequences to Pam because of the stock redemption?
Answer: The answer is given below
Explanation:
The following can be gotten from the question
The redemption value of the share = $1660
Less: tax basis = $700
Capital gain: $1660 - $700 = $960
Number of shares that'll b redeemed = 83 shares
Therefore, the capital gain and the tax basis in each of the remaining shares of 700 will be:
= $960 × 83
= $79680
In the month of November, Terpak Industries had the following overhead costs. 1. Property taxes, $22,500 ($10,000 for offices, $12,500 for factory) 2. Insurance, $14,380 ($3,140 for office building insurance, $7,240 for accidental injury insurance on factory workers, $4,000 for factory building insurance) 3. Utilities, $1,843 ($1,200 for factory, $643 for offices) 4. Depreciation, $47,000 ($15,400 for factory equipment, $19,000 for factory building, $12,600 for office building) How much will Terpak debit their Manufacturing Overhead account on November 30
Answer:
The amount Terpak will debit their Manufacturing Overhead account on November 30 is $59,340.
Explanation:
Manufacturing overhead can be described as all indirect costs that are incurred by a firm during the production process.
Manufacturing overhead is also known as factory overhead and it can be calculated by considering all the costs related to the factory.
For this question, the amount Terpak will debit their Manufacturing Overhead account on November 30 can therefore be calculated as follows:
Particulars Amount ($)
Factory tax 12,500
Factory accidental injury insurance 7,240
Factory building insurance 4,000
Factory utilities 1,200
Depreciation of factory equipment 15,400
Depreciation of factory building 19,000
Total manufacturing overhead 59,340
Therefore, the amount Terpak will debit their Manufacturing Overhead account on November 30 is $59,340.
Beans Corporation uses a job-order costing system with a single plantwide predetermined overhead rate based on direct labor-hours. The company based its predetermined overhead rate for the current year on total fixed manufacturing overhead cost of $162,000, variable manufacturing overhead of $2.80 per direct labor-hour, and 60,000 direct labor-hours. Recently, Job K818 was completed with the following characteristics: Number of units in the job 10 Total direct labor-hours 50 Direct materials $ 920 Direct labor cost $ 1,400 The total job cost for Job K818 is closest to:
Answer:
Total cost= $2,595
Explanation:
Giving the following information:
Estimated fixed manufacturing overhead cost= $162,000
Variable manufacturing overhead of $2.80 per direct labor-hour
Estimated direct labor hours= 60,000
Job K818:
Number of units in the job 10
Total direct labor-hours 50
Direct materials $920
Direct labor cost $1,400
First, we need to calculate the predetermined overhead rate:
Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base
Predetermined manufacturing overhead rate= (162,000/60,000) + 2.8
Predetermined manufacturing overhead rate= $5.5
Now, we can calculate the total cost for Job K818:
Total cost= direct material + direct labor + allocated overhead
Total cost= 920 + 1,400 + 5.5*50
Total cost= $2,595
Use your understanding of ethics to complete the sentence.
When managers use environmental and social impacts as criteria in all their decision making,
their philosophy
is an important part of
____
Answer: d. sustainability
Explanation:
Sustainability refers to the maintenance of resources such that they can be used in perpetuity.
When managers use environmental and social impacts as criteria in all their decision making, this is an important part of sustainability because they will be able to see how their actions affect the environment and thus adjust these actions in order to achieve sustainability of the resources we have on Earth.
Consider two perfectly negatively correlated risky securities, K and L. K has an expected rate of return of 12% and a standard deviation of 17%. L has an expected rate of return of 9% and a standard deviation of 11%. The risk-free portfolio that can be formed with the two securities will earn _____ rate of return.
Answer:
We need the compute the weight of K and L
Weight of K = Standard deviation of security L / Standard deviation of security K + Standard deviation of security L
Weight of K = 11% / 17% + 11%
Weight of K = 11% / 28%
Weight of K = 0.39286
Hence, the weight of security K is 0.39286
Weight of L = Standard deviation of security K / Standard deviation of security L + Standard deviation of security K
Weight of L = 17% / 11% + 17%
Weight of L = 17% / 28%
Weight of L = 0.607143
Hence, the weight of security L is 0.607143
Now we compute the rate of return risk-free portfolio as follow:
Return of portfolio = [Return of K * Weight of K] + [Return of L * Weight of L]
Return of portfolio = [12% * 0.39286] + [9% * 0.607143]
Return of portfolio = 0.0471432 + 0.05464287
Return of portfolio = 0.10178607
Return of portfolio = 10.18%
Hence, the rate of return of risk-free portfolio is 10.18%