Answer: $1942.89
Explanation:
Since the car will cost $120,000 and it will be financed with a 84 month contract having a nominal rate of 9.20%, then the monthly payment will be:
= PMT(9.2%/12, 84, -120000)
This will be slotted into the Excel calculator and the answer gotten will be $1942.89
Therefore, the monthly payment will be $1942.89.
On January 1, 2020 (the date of grant), Ayayai Corporation issues 1,900 shares of restricted stock to its executives. The fair value of these shares is $45,000, and their par value is $9,500. The stock is forfeited if the executives do not complete 3 years of employment with the company.
Prepare journal entries for January 1, 2014, and on December 31, 2014, assuming the service period is 3 years.
Answer and Explanation:
The journal entries are shown below:
On Jan 1, 2014
Unearned compensation Dr. $45,000
To paid in capital in excess of par $35,500
To common stock $9,500
(Being the unearned compensation is recorded)
On Dec 31,2014
Compensation expense Dr. $15,000 ($45,000 ÷ 3 years)
To unearned compensation $15,000
(Being one year compensation became due is recorded)
mention careers that don't require Maths and physics
Explanation:
Library-science teacher, postsecondary.
Dental hygienist.
Technical writer.
Philosophy and religion teacher, postsecondary.
Transportation vehicle, equipment, and systems inspector.
Power-plant operator.
Use the following tax rates and income brackets to answer the following question(s).
Tax Rate Individual Returns Joint Returns
10% $0 to $8,350 $0 to $16,700
15% $8,351 to $33,950 $16,701 to $67,900
25% $33,951 to $82,250 $67,901 to $137,050
28% $82,251 to $171,550 $137,051 to $208,850
33% $171,551 to $372,950 $208,851 to $372,950
35% Over $372,951 Over $372,951
Josh earned $89,700 in taxable income and files an individual tax return. What is the amount of Josh's taxes for the year?
Answer: $18,836
Explanation:
Josh is in the $82,251 to $171,550 bracket so in calculating the taxes owed, we need to calculate the maximum taxes from the previous brackets to find Josh's taxes.
This is done as follows:
= (8,350 * 10%) + ( (33,950 - 8,350) * 15%) + ( (82,250 - 33,950) * 25%) + ( (89,700 - 82,250) * 28%)
= 835 + 3,840 + 12,075 + 2,086
= $18,836
In the previous year, a company had revenues of $500,000, project overhead of $40,000 and company overhead of $75,000. The company expects the percentage for project and company overhead to remain the same for the current year. The company desires to make a 10% profit on a project it is bidding. The project would have $80,000 in direct costs. What should the bid price be
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Find a company offering different products and discuss what the company did to retain its customers under particular circumstances.
Answer:
Explanation:
Consider Samsung, a global leader in electronic goods such as the Galaxy brand of smartphones, laptops, and home appliances, among others. A sector of Samsung Company known as Samsung C&T Fashion Group offers a variety of items to clients, including apparel and athletics.
What the company did to keep its consumer in a certain situation. Most regions of the world, as well as companies and business owners, have been affected by the recent COV-ID epidemic along with those in line of clothes and athletics. Samsung saw this and they began selling facial masks to protect clients from the viral infection, allowing the company to retain customers and boost its customer retention rate.
As a result, a few of their companies began producing UV sterilizers particularly for cleaning mobile devices in order to reduce the possibility of the virus spreading through mobile phones.
Four Seasons Industries has established direct labor performance standards for its maintenance and repair shop. However, some of the labor records were destroyed during a recent fire. The actual hours worked during August were 2,750, and the total direct labor budget variance was $1,430 unfavorable. The standard labor rate was $17.60 per hour, but recent resignations allowed the firm to hire lower-paid replacement workers for some jobs, and this produced a favorable rate variance of $3,850 for August.
Required:
a. Calculate the actual direct labor rate paid per hour during August.
b. Calculate the dollar amount of the direct labor efficiency variance for August.
c. Calculate the standard direct labor hours allowed for the actual level of activity during August.
Answer:
a. (AR-SR)* Actual hours = Labour rate variance
Actual rate = (-3,850/2,750) + $17.60
Actual rate = -$1.4 + $17.60
Actual rate = $16.20
b. Direct labour efficiency variance for August = Total direct labour budget variance - Direct labour rate variance
= 1,430 - (-$3,850)
= $5280 Unfavourable
c. Direct Labour efficiency variance = (AH-SH)*SR
5280 = (2,750 - SH) * 17.60
(2,750 - Standard hours) = 5280/17.60
(2,750 - Standard hours) = 300
Standard hours = 2,750 - 300
Standard hours = 2,450
Choose all the scenarios below that would cause a decrease in the supply of labor in the agricultural industry.
a. More women are entering the workforce in all industries in the United States.
b. As the population in the United States ages, fewer workers have the physical ability to work in the industry.
c. As the economy expands, so does the need for janitors and cleaning staff employees, causing the wage for nonskilled workers in the cleaning industry to rise.
d. Due to global warming, working conditions on farms have become undesirable for more and more people.
e. The adoption of strict immigration laws reduces the number of legal and illegal immigrants in the United States.
f. There is an increase in the use of biofuels in the United States, which drives up the demand for corn and soybean crops.
g. The government passed a new plan to provide government-funded health care for all workers in the agricultural industry.
h. New machinery is replacing workers in the harvesting of crops.
Answer:
b. As the population in the United States ages, fewer workers have the physical ability to work in the industry.d. Due to global warming, working conditions on farms have become undesirable for more and more people.e. The adoption of strict immigration laws reduces the number of legal and illegal immigrants in the United States.h. New machinery is replacing workers in the harvesting of crops.Explanation:
With workers getting older and being unable to be as productive as they used to be, they will have to drop out of industries that require physical strength including farming. This will therefore reduce people working in agriculture.
With global warming having made working in the fields much more harsh, people are avoiding careers that would keep them outdoors including farming which has led to a drop in the labor supply for agriculture.
A significant portion of workers in agriculture are immigrants so when immigration laws limit the number of immigrants coming in, labor supply in agriculture will reduce.
New machinery reduces the need for workers in agriculture so the more they are bought, the less workers are needed. This will therefore directly reduce the number of people working in agriculture.
You can borrow and lend at the interest rates of 7.00% in the US and 5.00% in Canada. Based on Interest Rate Parity, the forward premium for CAD should be exactly equal to: Group of answer choices 1.90% - 1.87% 1.02% 98.11%
Answer:
1.90%
Explanation:
Note that that CAD exchange rate would be in terms of how many US dollars can be exchanged for 1 CAD, which means that the formula for forward premium would be stated in terms of US dollars, I mean the US$ as the numerator and CAD's interest rate would be the denominator
the forward premium for CAD=((1+US interest rate)/(1+Canada interest rate))-1
the forward premium for CAD=((1+7%)/(1+5%))-1
the forward premium for CAD=1.90%
Your firm currently has net working capital of $ that it expects to grow at a rate of % per year forever. You are considering some suggestions that could slow that growth to % per year. If your discount rate is %, how would these changes impact the value of your firm?
Complete Question:
Your firm currently has net working capital of $132,000 that it expects to grow at a rate of 4% per year forever. You are considering some suggestions that could slow that growth to 2% per year. If your discount rate is 10%, how would these changes impact the value of your firm? The value of the firm would $ (Round to the nearest dollar.)
Answer:
The Firm
a. The changes will reduce the value of the firm from $2,200,000 to $1,650,000, a difference of $550,000.
b. The value of the firm would be $1,650,000 if the changes are retained.
Explanation:
a) Data and Calculations:
Current net working capital = $132,000
Expected growth rate = 4%
Desired growth rate = 2%
Firm's discount rate = 10%
Value of firm with expected growth rate of 4% = NWC/(k - g)
where NWC = Net Working Capital
k = discount rate
g = growth rate
Therefore value of the firm = $132,000/(0.1 - 0.04)
= $132,000/0.06
= $2,200,000
Value of the firm with reduced growth rate of 2%:
= $132,000/(0.1 - 0.02)
= $132,000/0.08
= $1,650,000
The following are the Consumer Price Index (CPI) for the years 1991-1993. All of the values use a reference year of 1986.
Year CPI
1991 110
1992 120
1993 135
Which of the following is true about the CPI, based on the information?
a. $100 in 1986 would be equivalent to $135 in 1993.
b. $100 in 1992 would have been worth $100 in 1986.
c. $100 in 1991 would have been worth $110 in 1986.
d. $100 in 1993 would be equivalent to $120 in 1992.
Answer:
1986 is the base year. so, the CPI of the base year is always 100%.
Option A
The value of $100 in 1993 would be = ($100/CPI of 1986) * CPI of 1993
= ($100/100) * 135
= $135
So, Option A is true.
Option B
$100 in 1992 would have been worth in 1986: ($100/CPI of 1992) * CPI of 1986
= ($100/120) * 100
= $83.33
So, Option B is false.
Option C
$100 in 1991 would have been worth in 1986: ($100/CPI of 1991) * CPI of 1986
= ($100/110) * 100
= $90.91
So, Option C is false.
Option D
The value of $100 in 1992 would be: ($100/CPI of 1993) * CPI of 1992
= ($100/135 * 120
= $88.89
So, Option D is false.
A high-tech computer company reported the following information in a recent annual report (all dollar amounts are expressed in millions): Net revenue $49,205 Cost of Goods Sold $40,190 Production materials on-hand $228 Work-in-process and finished goods on-hand $231 What is the current value of weeks of supply
Answer:
See below
Explanation:
With regards to the above information, current value of the week of supply is calculated as shown below;
The week of supply Informs the manager how long the current on hand varies
= $228 ÷ $231
= 0.99 weeks
Assuming you have to pay $6.00 to play the game, explain what happens in the long run. (Is it a good idea to play the game
Answer:
Kindly check explanation
Explanation:
We create a probability distribution for the play and winning :
Possible winning, X = 0, 7, 20
Probability of winning :
Sum of 2 die rolls ; sample space = 6² = 36
P(winning 0) = (sum ≠ 2,3,5 or 6)/ sample space = 24 / 36 = 2/3
P(winning 20) = (sum = (2 or 3) / Sample space) = 9 / 36 = 1/4
P(winning 7) = (sum = (5or6) / sample space) = 3 / 36 = 1/12
Distribution table :
X _____ 0 _______ 7 _____ 20
P(x) ___ 2/3 _____ 1/4 ____ 1/12
Expected value of the game ; E(X) ;
E(X) = Σx*p(x)
E(X) = (0*2/3) + (7*1/4) + (20*1/12)
E(X) = 0 + 1.75 + 1.6667
E(X) = 3.417
E(X) = 3.42
This means the mean winning after a long play is expected to be $3.42
To know if the game should be paku in the long run : we calculate the payoff
Expected Value - cost of paly
Cost of play = $6
Payoff = 3.42 - 6 = - 2.58
Since, payoff is negative, the game should not be played.
Karla makes a pitch to her supervisor about changing their company's stance on recycling but finds out after the pitch meeting that her supervisor was already considering a change to the recycling policy. Which component of advocacy did Karla fail to consider
Answer:
Knowing the supervisor's knowledge
Explanation:
In making a pitch about a particular idea it is important to to follow the steps of advocacy in order to effectively promote the idea and get a positive result.
In the given scenario Karla makes a pitch to her supervisor about changing their company's stance on recycling.
The steps to follow are:
- identify a challenge or opportunity
- determine your audience
- find out what they already know or perceive
- determine how receptive they are
- establish objectives for the audience
- define points for the audience
- determine channel of communication
- decide on needed resources
- set timelines for activities
- evaluate success
Karla did not know her supervisor was already considering a change to the recycling policy.
So she failed to determine her Supervisor's knowledge of the situation.
The component of advocacy that Karla has failed to consider here is the supervisors knowledge.
She made a pitch about the issue without finding out if the supervisor already had a prior knowledge to what was happening.
This would have made her to make her case in a different way. The principle of advocacy is done with the aim of promoting a cause or interests of certain people.
She did not consider that the pitch she was making had already been dealt with by the supervisor she was giving it to.
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Olive Tree Products sold 86,000 units during the last period when industry volume totaled 334,000 units. The company originally expected to sell 89,000 based on a budgeted market share of 20 percent. The budgeted selling price was $59 per unit. Budgeted variable costs were $34 per unit. Budgeted fixed costs were $314,000 and applied based on units produced.
Required: Compute the sales activity variance, and break it down into market share variance and the industry volume variance
Answer: See explanation
Explanation:
Actual units sold = 86000
Budgeted units sold = 89000
Budgeted selling price = 59
Budgeted variable cost = 34
Budgeted contribution margin = 59 - 34 = 25
Budgeted market share = 20%
Acual industry volume = 334000
Standard units sold = 20% × 334000 = 66800
Sales activity variance:
= (Actual units sold - Budgeted units sold) × Budgeted contribution margin
= (86000 - 89000) × 25
= -3000 × 25
= 75000 Unfavorable
Market share variance will be:
= (86000 × 25) - (66800 × 25)
= 2150000 - 1670000
= 480000 Favorable
Industry volume variance:
= (66800 × 25) - (89000 × 25)
= 1670000 - 2225000
= 555000 Unfavorable
Newton Company is considering the purchase of an asset that will provide a depreciation tax shield of $19,200 per year for 10 years. Assuming the company is subject to a 40% tax rate during the period, and a zero salvage value, what is the depreciable cost of the new asset
Answer:
$480,000
Explanation:
The computation of the depreciable cost of the new asset is shown below:
Given that
Depreciation tax shield = $19,200
Tax rate= 40%
Now
Actual Depreciation for the year is
= $19,200 ÷ 40%
= $48,000
Now
Total Depreciation cost for 10 years is
= $48,000 × 10
= $480,000
A product whose EOQ is 40 units experiences a decrease in ordering cost from $90 per order to $10 per order. The revised EOQ is: three times as large. one-third as large. nine times as large. one-ninth as large. cannot be determined
Answer: three times as large
Explanation:
Economic order quantity will be calculated as follows:
EOQ = ✓(2DS/H)
D = Demand in units
Here S = Ordering cost = $10
H = Holding cost
Since S = $10
Therefore, EOQ will be:
= ✓(2DS/H)
= ✓(2 × 10 × D/ H)
= ✓(20D/H)
Since we're to increase the order cost from $10 per order to $90 per order, then EOQ will be:
Since S = $90
Therefore, EOQ will be:
= ✓(2DS/H)
= ✓(2 × 90 × D/ H)
= ✓(180D/H)
3✓20DH
The revised EOQ will then be 3 times as large.
Consider an event you are familiar with, such as a baseball game, a rock concert, or delivering delivering product to a customer. Map out the logistics tasks needed and their sequence in organizing this particular event.
The correct answer to this open question is the following.
I am going to consider a rock concert. I am familiar with this event.
This is the logistics needed and the sequence in organizing this particular event.
1.- The promoter contacts the talent agency to negotiate with the band's management.
2.- The promoter has scheduled some dates in a specific venue where it is going to organize the show.
3.- The promoter and the manager negotiates the band fees.
4.- Both sign an agreement.
5.- THe promoter confirms the show with the venue.
6. The promoter order the printing of the tickets.
7.- The promoter double-checks all the permissions and authorizations required by the local government, according to the characteristics of the show.
8.- The promoter notifies the fire department, the police department, the traffic department, and rents medical or emergency services for the day of the show.
8.- The band's manager sents the "rider," the document where the band specifies its catering, backstage, rigging, light, and sound system. This document also includes hotel rooms, ground transportation necessities, and flight tickets.
9.- The promoter starts the marketing and promotion of the show in mass media outlets and social media.
10.- The promoter rents all the equipment needed.
11.- Everything is ready for the day of the show.
a. Fiscal Policy involves changing ___________.
b. In the United States, Fiscal Policy is implemented by the _________ .
b. _____________ can be used to address a Recessionary Gap by ______________ taxes and ________________ government purchases.
c. Meanwhile, ______________ can be used to address an Inflationary Gap by ______________ taxes and ___________ government purchases.
Answer:
This answer is found in . I've seen it. The whole thing
Pearl Products Limited of Shenzhen, China, manufactures and distributes toys throughout South East Asia. Three cubic centimeters (cc) of solvent H300 are required to manufacture each unit of Supermix, one of the company’s products. The company is planning its raw materials needs for the third quarter, the quarter in which peak sales of Supermix occur. To keep production and sales moving smoothly, the company has the following inventory requirements: The finished goods inventory on hand at the end of each month must equal 2,000 units of Supermix plus 25% of the next month’s sales. The finished goods inventory on June 30 is budgeted to be 14,250 units. The raw materials inventory on hand at the end of each month must equal one-half of the following month’s production needs for raw materials. The raw materials inventory on June 30 is budgeted to be 75,375 cc of solvent H300. The company maintains no work in process inventories. A monthly sales budget for Supermix for the third and fourth quarters of the year follows. Budgeted Unit Sales July 49,000 August 54,000 September 64,000 October 44,000 November 34,000 December 24,000 Required: 1. Prepare a production budget for Supermix for the months July, August, September, and October. 3. Prepare a direct materials budget showing the quantity of solvent H300 to be purchased for July, August, and September, and for the quarter in total.
What are some of the suggestions that financial expert Beth Kobliner gives to D.Woods regarding controlling spending and increasing savings
Answer:
Pay yourself first, distinguish between needs and wants, automatic deposit
Explanation:
Some of the suggestions given by financial expert Beth Kobliner to D. Woods are mentioned below:
Pay yourself first
It is the key concept of personal finance. The term does not mean about receiving a paycheck rather it is a money-saving method that simply requires one to save money for long-term and future needs. Examples of such could be depositing money into retirement accounts, buying insurance, or depositing money into a savings account.
Distinguish between needs and wants
Another suggestion by Beth Kobliner was the distinction between needs and wants. As needs are something that one requires to survive while wants are something one can live without. From the financial perspective view, an individual must be able to prioritize between what is needed to sustain life and what can be delayed as it is a luxury.
Automatic deposit
This refers to the payment to the recipient's bank account immediately and without any waiting period. This method is an electronic service and replaces the old-fashioned way of sending paper check mails. With the deletion of the paper check method in exchange for using direct deposits, the risk of wages being stolen is eliminated. This way direct deposits are a simple and flexible solution for employees.
Projects are also often embedded with different options that can help making decisions under uncertainty. There are techniques used to evaluate these embedded options which are called real options. The models used to value these options are based on the type of the real option available for the project. Real options the value of capital investment projects.
A real option embedded in a capital project gives the investing firm the right but not the obligation to buy, sell, or transform an asset at a set price during a specified period of time.
a. True
b. False
Answer:
a. True
Explanation:
The real option should be used in the decision that made for the capital investment in order to rise the worth of the project. So it rise the capital investment value for the project. Also a real option in a capital asset provides the right to the investing firm but not the liability to purchase or sell or transform the asset at a fixed price
Therefore the given statement is true
Select the correct answer.
Which option will help you add visual effects to your presentation when you move from one slide to another?
OA.
slide background
OB.
slide master
Ос.
slide theme
OD.
slide transition
Answer:D. Slide transition
Explanation:
This information relates to Blossom Co..
1. On April 5, purchased merchandise from Sunland Company for $28,800, terms 4/10, n/30.
2. On April 6, paid freight costs of $620 on merchandise purchased from Sunland Company.
3. On April 7, purchased equipment on account for $34,200.
4. On April 8, returned $3,500 of April 5 merchandise to Sunland Company.
5. On April 15, paid the amount due to Sunland Company in full.
1. Prepare the journal entries to record the transactions listed above on Blossom Co.’s books. Blossom Co. uses a perpetual inventory system.
2. Assume that Blossom Co. paid the balance due to Sunland Company on May 4 instead of April 15. Prepare the journal entry to record this payment.
Answer:
1. Apr 5
Dr Merchandise inventory $28,800
Cr Account payable $28,800
Apr 6
Dr Merchandise inventory $620
Cr Cash $620
Apr 7
Dr Equipment $34,200
Cr Account payable $34,200
Apr 8
Dr Account payable $3,500
Cr Merchandise inventory $3,500
Apr 15
Dr Account payable $25,300
Cr Cash $24,288
Cr Merchandise inventory $1,012
b) May 4
Dr Account payable $25,300
Cr Cash $25,300
Explanation:
1. Preparation of the journal entries to record the transactions listed above on Blossom Co.’s books. using a perpetual inventory system.
Apr 5
Dr Merchandise inventory $28,800
Cr Account payable $28,800
Apr 6
Dr Merchandise inventory $620
Cr Cash $620
Apr 7
Dr Equipment $34,200
Cr Account payable $34,200
Apr 8
Dr Account payable $3,500
Cr Merchandise inventory $3,500
Apr 15
Dr Account payable $25,300
($28,800-$3500)
Cr Cash (25,300*96%) $24,288
Cr Merchandise inventory $1,012
($25,300-$24,288)
b) Preparation of the journal entry to record this payment.
May 4
Dr Account payable $25,300
($28,800-$3500)
Cr Cash $25,300
KJ Pharma issues new bonds to fund an acquisition. The face value of the bond is $100 and annual coupon is 6.5%. Further, this bond matures in 20 years and is issued at a price of $105. Assuming KJ Pharma's tax rate is 30%, what is its After-Tax Cost of Debt
Answer:
4.24%
Explanation:
The computation of the after tax cost of debt is given below:
But before that we have to determine the before tax of debt by using RATE formula
Given that
Future value be $100
Present value be $105
PMT is $100 × 6.5% = $6.5
NPER is 20
The formula is
=RATE(NPER,PMT,-PV,FV,TYPE)
After applying the above formula, the before tax cost of debt is 6.06%
Now the after tax cost of debt is
= 6.06% × (1 - 0.30)
= 4.24%
Why do cell phone service providing firms often charge higher price to pre-paid clients than those on contract?
Answer:
Contract customer ensures a regular income as compared to the pre paid users and hence cell phone service provider prefer to hold these customers by lowering their services rates
Explanation:
Prepaid phone call rates are higher than the call rates of contract phone services because the contract services ensures a minimum of certain amount per month. Along with that the service provider charges an activation charge prior to providing contract services hence they make the call rates and rates of other services like internet low for contract customers.
Identify the organizational method/pattern used in each of the following sets of main points.
a. Fraudulent charity fund-raising is a widespread national problem.
b.The problem can be solved by a combination of government regulation and individual awareness.
c. At the top of the rainforest is the emergent layer, where trees can be 200 feet tall.
d. Below the emergent layer is the canopy, where vegetation is so dense that it filters out 80 percent of the sunlight.
e. Beneath the canopy is the understory, where trees are less than 12 feet tall and grow large leaves to collect the small amount of sunlight.
f. At the bottom is the forest floor, where there are almost no plants because of the lack of sunlight.
g. Sonia Sotomayor is best known as the first Hispanic justice of the U.S. Supreme Court.
Correct question options:
1 I.Fraudulent charity fund-raising is a widespread national problem.
II.The problem can be solved by a combination of government regulation and individual awareness.
2 I.At the top of the rainforest is the emergent layer, where trees can be 200 feet tall.
II.Below the emergent layer is the canopy, where vegetation is so dense that it filters out 80 percent of the sunlight.
III.Beneath the canopy is the understory, where trees are less than 12 feet tall and grow large leaves to collect the small amount of sunlight.
IV.At the bottom is the forest floor, where there are almost no plants because of the lack of sunlight.
3 I.Sonia Sotomayor is best known as the first Hispanic justice of the U.S. Supreme Court.
II.Sonia Sotomayor is also an accomplished communicator who has given hundreds of public speeches.
Answer:
1. Problem-solution pattern
2. Compare and Contrast
3. Sequence
Explanation:
Organizational models or structures are the various ways writers organize their ideas in their work in order to enable the reader better understand the write-up. Organizational models may depend on the type of essay or story being written. Example, an autobiography usually follows a sequence type of pattern. An article could also follow a problem-solution pattern as in the first example above.
You have decided to buy a used car. The dealer has offered you two options: (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided.) Pay $620 per month for 20 months and an additional $12,000 at the end of 20 months. The dealer is charging an annual interest rate of 24%. Make a one-time payment of $16,864, due when you purchase the car. 1-a. Determine how much cash the dealer would charge in option (a). (Round your answer to 2 decimal places.) 1-b. In present value terms, which offer is clearly a better deal
Answer:
1. In option (a), the dealer would charge $18,213.54.
b. In present value terms, the one-time payment (option (b) is a better deal for the purchaser.
Explanation:
a) Data and Calculations:
Monthly payment for a used car = $620
Payment period = 20 months
Additional payment at the end of 20 months = $12,000
Annual interest rate = 24%
One-time payment for the car purchase = $16,864
From an online financial calculator, the present value of the payments is:
N (# of periods) 20
I/Y (Interest per year) 24
PMT (Periodic Payment) 620
FV (Future Value) 12000
Results
PV = $18,213.54
Sum of all periodic payments = $12,400.00
Total Interest = $6,186.46
Suppose that it costs $400 per day to search for chanterelle mushrooms at Pt. Reyes National Seashore. On an average day, the total weight of mushrooms M found at Pt. Reyes is M=100x-x^2 pounds ,where X is the number of people mushroom hunting on that day. Chanterelles can be sold for $90 per pound. How many more people will go mushroom hunting than is socially optimal?
Answer: 48
Explanation:
Firstly, we need to solve the marginal product which will be:
= dM/dx
= d(100x - x²)/dx
= 100-2x
At socially optimal level, it should be noted that:
Price × Marginal Product = Cost
90 × (100-2x) = 400
9000 - 1800x = 400
1800x = 9000 - 400
1800x = 8600
x = 8600/180
x = 47.77
x = 48
Therefore, the optimal number of workers will be 48.
For 2019, Skresso Co. reported $1.82 of earnings per share of common stock. During 2020, the firm had a 4% common stock dividend. The 2019 earnings per share to be reported in the annual report for 2020 are:
Answer:
$1.75
Explanation:
Earnings per share to be reported = Earnings per share of commo stock * (1 - 4%)
Earnings per share to be reported = $1.82 * 96%
Earnings per share to be reported = $1.7472
Earnings per share to be reported = $1.75
So, the 2019 earnings per share to be reported in the annual report for 2020 are $1.75.
A store has two different coupons that customers can use. One coupon gives the customer $15 off their purchase, and the other coupon gives the customer 30% off of their purchase. Suppose they let a customer use both coupons and choose which coupon gets applied first. For this context, ignore sales tax.
Let f be the function that inputs a cost (in dollars) and outputs the cost after applying the "$15 off" coupon, and let g be the function that inputs a cost (in dollars) and outputs the cost after applying the "35% off" coupon.
a. Suppose acustomerwants to purchase asi 40 item and apply the si 5 of coupon first, and then the 35% or coupon How much will the item cost after applying the coupons?
b. Suppose a customer wants to purchase a S 140 item and apply the SI 5 off coupon first, and then the 35% or coupon Ure ction notation to represent how much the item will cost (dollars) after applying the coupons.
c. Suppose a customer wants to purchase a $140 item and apply the 35% om coupon first and then the sis of coupon How much will the item cost after applying the coupons?
d. Suppose a customer wants to purchase a S 140 item and apply the "35% or coupon first and then the "S 15 off coupon. Usefu ction notation to represent how much the item will cost (dollars) after applying the coupons.
Answer:
16.25;
g(f(x)) ;
76 ;
f(g(x))
Explanation:
For 15 off
f(x) = x - 15
For 35% off
g(x) = (1 - 0.35)x = 0.65x
g(x) = 0.65x
A.)
For the $15 off coupon :
f(x) = x - 15
f(x) 40 - 15 = 25
For the 35% coupon :
g(x) = (1-0.35)x
g(x) = 0.65(25)
g(x) = 16.25
B.)
Applying $15 off first, then 35%
Here, g is a function of f(x)
g(f(x))
Here g(x) takes in the result of f(x) ;
For the $140 off coupon :
f(x) = x - 15
f(140) = 140 - 15 = 125
For the 35% coupon :
g(125) = (1-0.35)x
g(124) = 0.65(125) = $81.25
C.)
x = 140
g(x) = 0.65x
g(140) = 0.65(140)
g(140) = 91
f(x) = x - 15
f(91) = 91 - 15
f(91) = 76
D.)
Here, F is a function of g(x)
f(g(x))
f(x) = (0.65*140) - 15