A chemical company makes two brands of antifreeze. The first brand is 40%pure antifreeze, and the second brand is 90%pure antifreeze. In order to obtain 180gallons of a mixture that contains 55%pure antifreeze, how many gallons of each brand of antifreeze must be used?

Answers

Answer 1

Answer:

1st brand is 126 gallons

ans 2nd brand = 54 gallons

Explanation:

given data

first brand = 40%

second brand = 90%

mixture =  55%

mixture = 180 gallons

to find out

how many gallons of each brand

solution

we consider here 1st brand is = x and 2nd brand is y

so on mixing we get

total volume = x + y    ...............1

put here value

180 = x + y    .................2

and mixing equation will be

40 x + 90 y = 55 ( x+ y)

solve it we get

3 x = 7 y

x = [tex]\frac{7}{3}[/tex] y    ........................3

put equation 3 in equation 2

180 = [tex]\frac{7}{3}[/tex] y  + y  

solve it we get

y = 54

and  now put in equation 2 we get

180 = x + 54

x = 126

so

1st brand is 126 gallons

ans 2nd brand = 54 gallons


Related Questions

Which of the following are true?
a. Ideally, we should use book values in the WACC.
b. Book values are often similar to market values for equity.
c. Ideally, we should use market values in the WACC.
d. The market value of debt and equity are not reliable in case of privately owned company.

Answers

Final answer:

In terms of the WACC, market values rather than book values should ideally be used, except for privately owned companies where market values can be unreliable. Early-stage corporate finance involves choosing funding methods based on a company's size and maturity. Bonds and bank loans are similar forms of debt but differ in terms of tradeability and terms.

Explanation:Understanding WACC and Early-Stage Corporate Finance

The ideal use in calculating the Weighted Average Cost of Capital (WACC) is market values rather than book values. This is because market values generally provide a more accurate assessment of the actual cost of capital. Book values do not usually represent the true economic value as they are based on historical costs minus depreciation. Therefore, the correct statements in the question are:


 c. Ideally, we should use market values in the WACC.
 d. The market value of debt and equity are not reliable in case of privately owned company due to their lack of market pricing.

Addressing the self-check questions on early-stage corporate finance:


 Very small companies tend to raise money from private investors because the costs and regulations associated with an IPO can be prohibitive for them.
 Small, young companies may prefer an IPO to raise larger amounts of capital and benefit from the promotional efforts associated with going public.
 A venture capitalist typically has better information about a small firm's potential to earn profits, thanks to their experience, expertise, and closer involvement with the firm.

From a firm's point of view, a bond is similar to a bank loan in that both represent debt and require regular interest payments. However, bonds often have longer terms and can be traded on the secondary market, unlike traditional bank loans.

Regarding the calculation of home equity:


 Fred, who bought a house for $200,000 with a 10% down payment, has an initial equity of $20,000, which is the down payment amount.

Learn more about WACC and Corporate Finance here:

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Adjustments help to ensure that all revenues are recorded in the period in which they are:______

Answers

Answer: made

                     

Explanation: In simple words, adjustment in accounting refers to the transactions that are not recorded in the accounts yet but actually belongs to it with respect to the time period of their occurrence.

There are generally five types adjusting entries accrued revues, accrued expenses, deferred revenues, deferred expenses and deprecation expenses. Such entries are usually made at the end of the year in their respective accounts.

Which of the following is a list of private goods only?

A) a watermelon, toll highways, a private beach, a chair.
B) a watermelon, cable Internet service, a private beach, a pencil, a chair.
C) a watermelon, a chair, a pencil.
D) online video games, a watermelon, a private beach, a pencil, a chair.

Answers

Answer:

C) a watermelon, a chair, and a pencil is a list of private goods only.

Explanation:

In Economics, private goods are goods that need to be purchased for consumption, and if an individual is consuming it, then the other individuals cannot consume it. These goods are also considered as excludable which means that if a user has bought it, he/she can prohibit its use from the public through ownership rights. The owner could be an individual or a group of individuals.

By applying the above definition, it is clear that C is the only alternative that consists of private goods only, that is, A watermelon, a chair, and a pencil.

Final answer:

Private goods are goods that are both excludable and rivalrous in consumption. In the given options, option A includes goods that are privately owned and can be restricted to certain individuals.

Explanation:

The correct answer is A) a watermelon, toll highways, a private beach, a chair.

Private goods are goods that are both excludable and rivalrous in consumption. Excludable means that access to the good can be restricted and provided only to those who pay for it. Rivalrous in consumption means that the consumption of the good by one individual reduces its availability for others. In the given options, option A includes goods that are privately owned and can be restricted to certain individuals, making it a list of private goods only.

To fulfill its mission of democratizing organics, Honest Tea must source products and ingredients from around the world to produce its beverages. Which of the following physical distribution activities is especially important in overseeing all those items so as to reduce storage, shipping, and other costs?a) Inventory managementb) Warehousingc) Materials handlingd) Transportatione) Order processing

Answers

Answer:

The correct answer is A that is Inventory management

Explanation:

Inventory management is the term which is related to the supervision of the non-capitalized assets which is inventory and the items of the stock. A supply chain management component, which is inventory management, supervises or look after the flow of goods from the makers or the manufacturers to the storage or warehouses.

So, the inventory management is the activity of the physical distribution which is vital in supervising the items which could lead to decrease in storage, shipping and other cost.

Most companies today want their salespeople to​ _______, which means demonstrating and delivering superior customer value and capturing a return on that value that is fair for both the customer and the company.

A. practice value selling
B. use a​ transaction-oriented sales approach
C. close sales
D. cut prices to make the sale
E. capture​ short-term business

Answers

Answer: practice value selling

Explanation: companies wants their sales representatives to practice value selling, which involves them highlighting the benefits of buying the product and the value it would add to its buyer.

This ensures that both the buyer and the sales company both benefits from the product sales.

A fixed cost is a cost which
a. remains constant per unit with changes in the level of activity.
b. varies in total with changes in the level of activity.
c. remains constant in total with changes in the level of activity.
d. varies inversely in total with changes in the level of activity.

Answers

Answer:

The answer is c. remains constant in total with changes in the level of activity.

Explanation:

In a cost structure of a firm, for decision-making purpose, it is usually divided into fixed cost and variable cost.

Variable cost is the type of costs which will increase following an additional production of an extra unit of product/service, that is, level of activity has been risen up given the production is taken place. A good example of these cost are material cost, labeling cost.

Fixed cost, as it name may tell, is costs that are unchanged regardless of a firm's activities level. That is, regardless of how many product/service is produced, these costs remain the same. A good example of these cost are depreciation cost, rental cost.

In a private closed economy, (a) the marginal propensity to save is 0.25, (b) consumption equals income at $120 billion, and (c) the level of investment is $40 billion. What is the equilibrium level of income?

Answers

Answer:

$280 billion

Explanation:

An economy reaches the equilibrium when there is an equal amount of supply and demand.

To pay for college, Henry received the following: $1,000 scholarship from the Thespian Club to pay for books $4,000 scholarship from the Elks Lodge for tuition $5,000 worth of room and board as a dorm supervisor through a work-study program How much income must Henry report on his tax return?

Answers

Answer:

$5,000

Explanation:

Money received as scholarship and used to pay for tuition or related expenses is not included in the gross income. So the $1,000 scholarship from the Thespian Club and the $4,000 scholarship from the Elks Lodge are not taxable. The only taxable income that Henry earned is the $5,000 that he was paid for being a dorm supervisor.

Final answer:

Henry should report $5,000 of income on his tax return, which is the amount received from the work-study program for room and board.

Explanation:

Henry received various forms of financial aid for college, including scholarships and a work-study program. To determine which portions of this assistance must be reported as income on his tax return, we can look to IRS guidelines. Generally, scholarship funds used directly for tuition and books are not taxable, while money used for living expenses, such as room and board, may be considered taxable income.

From the information provided, Henry received a $1,000 scholarship for books and a $4,000 scholarship for tuition from the Thespian Club and the Elks Lodge, respectively. These amounts typically would not be taxable since they are used directly for education-related expenses. However, his $5,000 work-study program award for room and board may be considered taxable income.

Therefore, Henry would need to report $5,000 on his tax return, which is the amount allotted for his room and board. When it comes to college affordability, the cost of tuition, fees, room and board can be substantial, with the College Board's estimate and the increasing student loan debt emphasizing the scale of expenses faced by students.

The management of Computer Rescues, Inc. finalized the company's action plan for increasing its market share over the next few years. The management then set up a 12-month plan that defines how the organization will conduct its business based on the action plan, including clear sales targets for each week. The second plan is an example of a(n) _____ plan.

A. dependent
B. strategic
C. operating
D. facilities
E. typical

Answers

Answer: (C).

The second plan is an example of an "operating plan".

Explanation:

An operating plan is a detailed plan that breaks down a long-term strategic plan to be implemented over several years, into smaller units that can be achieved within shorter periods (such as one year).

Within the period allocated to the operating plan, weekly and monthly targets are set, and short term objectives are developed. Processes are then put in place and resources are deployed towards meeting these targets and objectives.

Once targets are met, then the next phase of the long term plan is acted upon.

All of this is done with the main purpose of achieving the long term organizational goals and objectives.

Therefore, the 12-month plan set up by the management of Computer Rescues, Inc. is an "operating plan".

Answer:

C) operating

Explanation:

operating

The operating plan is scheduled generally for a 12 month period, it identifies important targets such as market share, cash flow and revenues and it defines a business conduction strategies based on the action plan

A small-scale apparel manufacturer in Florida collaborates with several other similar firms and they form a separate company in India. None of the participants in this collaboration has previously had active operations in the Indian market. The newly created firm manufactures apparel suited to the tastes and preferences of the Indian customers. Identify the type of foreign market-entry approach depicted in this scenario

Answers

Answer:

consortia, a type of strategic alliance

Explanation:

Consortia is a type of strategic alliance which is very similar to joint ventures except that:

consortia usually involves a large number of businessesthey operate in countries in which none of the participants is currently active in

Consortia is used by small or medium sized companies to pool financial and managerial resources in order to lower risks.

Judy's Boutique just paid an annual dividend of $1.48 on its common stock and increases its dividend by 2.2 percent annually. What is the rate of return on this stock if the current stock price is $29.60 a share?

Answers

Answer:

7.31%

Explanation:

Data provided in the question:

Annual dividend paid, D0 = $1.48

Dividend growth rate, g = 2.2% = 0.022

Current stock price per share = $29.60

Now,

Current price of share = D1 ÷ (r - g)      .........(1)

Here,

r is the required rate of return

D1 = dividend at year 1 =  D0 × (1 + g)

= $1.48 × (1 + 0.022)

= $1.51256

Therefore, from (1) we get

$29.60 = $1.51256 ÷ (r - 0.022)

or

(r - 0.022) = 0.0511

or

r = 0.0511 + 0.022

or

r = 0.0731

or

r = 0.0731 × 100% = 7.31%

Final answer:

To calculate the rate of return on Judy's Boutique's stock, the dividend yield is first determined by dividing the $1.48 annual dividend by the $29.60 stock price, resulting in approximately 5%. Adding the annual dividend growth rate of 2.2%, the estimated total rate of return is 7.2%.

Explanation:

To calculate the rate of return on Judy's Boutique's stock, we must consider both the dividend yield and the dividend growth rate. The dividend yield is calculated by dividing the annual dividend by the current stock price. In this case, it would be $1.48 divided by $29.60, which equals approximately 0.05 or 5%.

Since the dividends are increasing annually by 2.2%, this growth rate must be added to the initial yield to estimate the total rate of return. Thus, the total rate of return is the sum of the initial dividend yield plus the dividend growth rate, which in this case would be 5% + 2.2% = 7.2%.

However, if we only want to calculate the rate of return for the next year without considering continuous growth, we would only consider the initial dividend yield as the rate of return for one year. For multi-year investments, the dividend growth rate should be compounded annually, which requires more complex calculations. Still, for a basic one-year outlook, the rate of return is approximately 5%.

A bank statement_______________.
a. is a credit reference letter written by the company's bank.
b. shows the activity that increased or decreased the company's account balance.
c. shows a company the financial position of the bank as of a certain date.
d. is a bill from the bank for services rendered

Answers

Answer: Option B

                 

Explanation: In simple words,  a bank statement refers to the statement which depicts the balance in a  bank account at a specified date and also it shows how much of the amount is deposited and how much is withdrawn at which dates.

In other words, it works like a financial balance sheet with more descriptive information. These statements are not valued by investors as it does not depict much information relevant to them. Their use remains limited to the holder of such account.

Answer: b. shows the activity that increased or decreased the company's account balance.

Explanation:

As long as the associate editors at Zeal Publishing accurately proofread at least 100 pages of manuscript each day, they are free to come up with their own schedules and work styles to achieve their daily goal. Zeal Publishing appears to follow a _____ system.A) self-control
B) concertive control
C) behavior control
D) normative control

Answers

Answer:

Letter A is correct. Self-control.

Explanation:

An executive self-control system is one that is used by the individual himself to regulate his behaviors so that certain goals and results are achieved. Through mind processes, we are able to develop focus and planning skills.

that assist in performing various tasks effectively. The added benefits of self-control are related to the ability to set priorities, achieve personal motivation and skills that will help identify the best choices for our needs.

Assume Amanda always maximizes her total utlity given her budget constraint. Every morning for breakfast she has two eggs and three sausages. If the marginal utility of the last egg is 10 utils and the price of eggs is $1 each, what can we say about the marginal utility of the last sausage if the price of each sausage is $2? a. It must be equel to 1 utils. B. It must be equal to 5 utills.C. It must be equal to 20 utls.D. It must be equal to 10 utls

Answers

Answer:

option C. It must be equal to 20 utls

Explanation:

Given:

The marginal utility of the last egg = 10 utils

Price of eggs = $1 each

Price of each sausage = $2

Now,

Total Utility is maximized when the combination of goods is

[tex]\frac{\textup{Marginal Utility of egg}}{\textup{Price of egg }}[/tex]= [tex]\frac{\textup{Marginal Utility of Sausage}}{\textup{Price of Sausage }}[/tex]

or

10 ÷ 1 = Marginal Utility of Sausage ÷ 2

or

Marginal Utility of Sausage = 10 × 2 = 20 utls

Hence,

the correct answer is option C. It must be equal to 20 utls

Final answer:

Amanda maximizes her utility by ensuring that the marginal utility per dollar spent on each item she consumes is the same. So, if the marginal utility of the last egg is 10 utils with a $1 price, the marginal utility of the last sausage must be 20 utils, given that each sausage costs $2. Option C

Explanation:

When an individual is said to maximize total utility given their budget constraint, this implies that they should allocate their budget in a way that the marginal utility per dollar spent is equal across all goods they consume. The marginal utility per dollar is calculated by dividing the marginal utility of the last unit consumed by the price of the good.

Given that the marginal utility of the last egg consumed is 10 utils and the price of eggs is $1 each, the marginal utility per dollar spent on eggs is 10 utils per dollar. Amanda consumes sausages that cost $2 each. To maximize utility, the marginal utility per dollar spent on sausages should be equal to that of eggs. Therefore, the marginal utility of the last sausage must be 20 utils (since 20 utils divided by the $2 price of sausages equals 10 utils per dollar, the same as eggs).

The Net Promoter Score measures:​ Group of answer choices the degree to which a viewer promotes the product.​ ​revisits to the product website. ​satisfaction. ​loyalty. ​the number of likes on a product page.

Answers

Answer:

The Net Promoter Score measures:​ (A) the degree to which a viewer promotes the product, (C) satisfaction and its (D) ​loyalty.

Explanation:

Net Promoter Score or NPS is a variety of index that is given to the customers of a product or service by the brands to know how they feel about the product and the brand. Primarily, the NPS is concentrated on understanding how much the customer is willing to promote or recommend the company's product or service to others. Additional fields that the NPS targets are customer satisfaction and how much the customers are loyal to the brand.

Hence, alternatives A, C, and D are correct for the Net Promoter Score.

All of the following statements regarding retained earnings are true exceptA. retained earnings represents a claim on cash.B. a debit balance in Retained Earnings indicates a deficit.C. retained earnings is net income that a company retains in a business.D. some companies may restrict availability of retained earnings for dividends.

Answers

Answer:

A) retained earnings represents a claim on cash.

Explanation:

Retained earnings are the accumulated profits that a company keeps that are left after dividends are paid. Retained earnings are the equivalent of a savings account for an individual. Retained earnings are shown in the balance sheet as part of owners' equity.

For example, corporation A had a net profit of $10 million during last year, and it paid dividends for a total of $4 million, its retained earnings for last year are $6 million.

Companies use retained earnings as money available for financing new or existing projects.

A warranty that is created when a seller or lessor makes an affirmation that the goods he or she is selling or leasing meet certain standards of quality, description, performance, or condition is known as a(n) ________ warranty.

Answers

Answer:

Express Warranty

Explanation:

Express Warranty -

It is a type of agreement by the seller in order to provide the replacement or repair the product , any service or component ,which is faulty , with in a given period of time frame , is known as express warranty .

The consumer gets the guarantee about the goods or service and feel secure about the purchase .

Hence , from the question , the term according to the given statement of the question is express warranty .

The advantage of extending credit to customers is that it helps customers to buy products and services, thereby increasing the seller's revenue. The disadvantages of extending credit are costs related to_________.
a.marketing.
b.increased notes receivable.
c.increased sales.
d.bad debt expense.

Answers

Answer:

d.bad debt expense.

Explanation:

Bad debts expense is an account receivable that is no longer collectible. Bad debt is a debt obligation by a customer of which he or she is unable to pay. It arises when the company sells goods on credit, but unfortunately, the customer fails to pay.

Customers fail to honor payments due to financial challenges or bankruptcy. Bad debts are a cost to the business. When a bad debt has been realized, the amount is debited to the bad debts expense account and credited to accounts receivable. Bad debts reduce the amounts expected as inflow and increase costs in a business. To mitigate against bad debts, companies provide an allowance for bad and doubtful debts.

Android Products, Inc., agreed to accept a $1,000, one-year, 10 percent note from C. Mate. On its maturity date of December 16, Mate honors the note by making a payment of $1,100. That payment consisted of the principal of $1,000 plus interest in the amount of $100 (computed as $1,000 × 10%).
Prepare the necessary December 16 entry for Android by selecting the account names from the drop-down menus and entering the dollar amounts in the debit or credit columns.

Answers

Answer:

Explanation:

The journal entry is shown below:

Cash A/c Dr $1,100

        To Interest revenue $100

        To Note receivable $1,000

(Being cash received in respect of note receivable, interest accrual is recorded)

The computation of accrued interest is shown below:

= Principal × rate of interest × number of months ÷ (total number of months in a year)  

= 1,000 × 10%

= $100

Citrus inc., a leading internet service provider, provides its top managers with a bonus every year. however, this year the company performed poorly and its average stock price dropped below the industry standards. the company decided not to reward the managers this time around. this scenario typically illustrates the reinforcement contingency of _____.
a) positive reinforcement
b) extinction punishment
c) negative reinforcement

Answers

Answer: The correct answer is "b) extinction punishment".

Explanation: This scenario typically illustrates the reinforcement contingency of extinction punishment.

Because the company in deciding not to reward managers this time, is extinguishing the benefit they had, in the form of punishment for the poor performance of the company.

A publisher of photography books finds that it is cost-effective to print 10,000 or more at a time. But abookstore orders only a few copies of each book since its customers want to select from a wide variety.This example shows:a. why discrepancies of quality occurb. why both discrepancies of quantity and assortment occurc. neither discrepancies of assortment or quantityd. why discrepancies of assortment occure. multichannel distribution

Answers

Answer:

B) why both discrepancies of quantity and assortment occur

Explanation:

The assortment and quantity of products that the publisher's customers want sometimes may be very different than the assortment and quantity that the companies would be willing to produce in order to lower its costs and increase its profits.

For example, the publisher would save money if it could print 10,000 books, but its clients only buy a few books at a time.

Barbara solicits input from her subordinates before making decisions that will affect them. She often praises them for good work and gently offers suggestions to improve their performance. Barbara uses the ________ style of leadership.

A) autocratic
B) participative
C) democratic
D) supportive

Answers

Answer:

Letter B is correct. Participative.

Explanation:

The participative leadership style is characterized by a leader whose focus is on including employees in most of the organizational decision making process. It is a type of leadership that prioritizes teams and their decisions are relevant to the point of establishing a majority vote in the company to assist in organizational issues and actions.

There are many added benefits in organizations that adopt a participatory leadership style, some of which are:

Greater acceptance of consensus-based practices and policies. Employees feel valued and motivated to achieve organizational goals because they feel they are part of the company's achievements. Encourages employee creativity and collaboration in problem solving. Decreases turnover and turnover costs as employees choose to stay with the company to see their plans assist in organizational success.

Franklin Corporation bought equipment on January 1st, 2022 .The equipment cost $150,000 and had an expected salvage value of $30,000. The life of the equipment was estimated to be 6 years. The depreciable cost of the equipment is________.

Answers

Answer:

$120,000.00

Explanation:

Depreciable cost is the amount of money that can be depreciated over time from the value of an asset. It is the total book value an asset loses for being in production in its useful life. Depreciable cost is important is calculating the annual depreciation.

Depreciable cost is a result of the cost of an asset minus its expected salvage value.

In case case: $150,000- $ 30,000

=$120,000.00

Depreciable value is $120,000

Millburn Corporation has acquired a property that included both land and a building for $ 510 comma 000. The corporation hired an appraiser who has determined that the market value of the land is $ 320 comma 000 and that of the building is $ 470 comma 000. At what amount should the corporation record the cost of​ land

Answers

Answer:

cost of land record = $206550

Explanation:

given data

market value of the land = $320000

market value of the building  = $470000

acquired both land and building = $510000

to find out

amount should the corporation record the cost of land

solution

first we find market value to total assets that is

market value to total assets = market value of the land + market value of the building ......................1

put here value

market value to total assets = $320000 + $470000

market value to total assets = $790000

and

share of land in the total market that is

share of land in the total market = [tex]\frac{market\ value\  of \ land}{total\ assets \ value}[/tex]   .......................2

put here value

share of land in the total market = [tex]\frac{320000}{790000}[/tex]

share of land in the total market = 40.50 %

and

cost of land record = share of land in the total market × acquired both land and building    .......................3

put here value

cost of land record = $510000 × 40.50%

cost of land record = $206550

Abbe Corporation uses activity-based costing. The company makes two products: Product A and Product B. The annual production and sales of Product A is 800 units and of Product B is 600 units.
There are three activity cost pools, with total cost and activity as follows:
Activity Cost Pool
Activity 1- $17,460
Activity 2- $19,987
Activity 3- $29,884
Total Activity
Product A 600 1,700 40
Product B 600 600 120
Total 1,200 2,300 520
What are the activity rates for activites 1, 2 and 3?
What is the cost per unit for Product A and B?

Answers

Answer:

Activity Rates are:

1 = $14.55 per activity

2 = $8.69 per activity

3 = $57.47 per activity

Cost per product

A = $32.2525

B= $34.7333

Explanation:

As for the provided information,

There are three activities.

Activity 1 = $17,460 and total = 1,200

Rate of activity = $17,460/1,200 = $14.55 per activity

Activity 2 = $19,987 and total activity = 2,300

Rate of activity = $19,987/2,300 = $8.69 per activity

Activity 3 = $29,884 and total activity = 520

Rate of activity = $29,884/520 = $57.47 per activity.

Costs of each product

Product A = ($14.55 [tex]\times[/tex] 600) + ($8.69 [tex]\times[/tex] 1,700) + ($57.47 [tex]\times[/tex] 40)

= $8,730 + $14,773 + $2,298

= $25,801

Cost per unit = $25,802/800 = $32.2525

Product B = ($14.55 [tex]\times[/tex] 600) + ($8.69 [tex]\times[/tex] 600) + ($57.47 [tex]\times[/tex] 120)

= $8,730 + $5,214 + $6,896

= $20,840

Cost per unit = $20,840/600 = $34.73

Whizz Corp. wishes to introduce a new hybrid car into mature markets in developed countries with the goal of gaining mass-market share quickly. Which of the following pricing strategies would help the firm meet its goal?
a. market-skimming pricing.
b. market-penetration pricing
c. market-segmentation pricing
d. cost-plus pricing
e. captive-product pricing

Answers

Answer: Market penetration pricing

Explanation: Market penetration pricing is a business strategy where a company starts off the sales of its product at a relatively low price, and then increases the price of it product as it gains customers with time.

Whiz Corp needs to start up with a penetration price to attract customers to their new automobile they are selling.

The Fed funds rate is the rate that
A. banks charge for loans to corporate customers.
B. banks charge to lend foreign exchange to customers.
C. the Federal Reserve charges on emergency loans to commercial banks.
D. banks charge each other on loans of excess reserves.
E. banks charge securities dealers to finance their inventory.

Answers

Answer:

Option (D) is correct.

Explanation:

The federal funds rate refers to a interest rate that is charged from one financial institution by the other financial institution for lending funds which are kept with the federal reserve in the form of excess reserves. It plays a very important in making an impact on the financial and economic conditions of a nation. Fed rate is normally associated with the most creditworthy financial institutions.

Compute the payback period for each of these two separate investments:
(a) A new operating system for an existing machine is expected to cost $260,000 and have a useful life of four years. The system yields an incremental after-tax income of $75,000 each year after deducting its straight-line depreciation. The predicted salvage value of the system is $10,000.
(b)A machine costs $170,000, has a $14,000 salvage value, is expected to last nine years, and will generate an after-tax income of $41,000 per year after straight-line depreciation.

Answers

Answer:

1.89 years and 2.91 years

Explanation:

The formula to compute the payback period is shown below:

= Initial investment ÷ Net cash flow

For first case

The initial investment is $260,000

And, the net cash flow is shown below:

= Depreciation + incremental after tax income

where,

Depreciation equals to

= (Original cost - residual value) ÷ (useful life)

= ($260,000 - $10,000) ÷ (4 years)

= ($20,000) ÷ (4 years)  

= $62,500

And the incremental after tax income is $75,000

So, the net cash flow would equal to

= $62,500 + $75,000

= $137,500

So, the payback period would be

= $260,000 ÷ $137,500

= 1.89 years

For second case

The initial investment is $170,000

And, the net cash flow is shown below:

= Depreciation + incremental after tax income

where,

Depreciation equals to

= (Original cost - residual value) ÷ (useful life)

= ($170,000 - $14,000) ÷ (9 years)

= ($156,000) ÷ (9 years)  

= $17,333

And the incremental after tax income is $41,000

So, the net cash flow would equal to

= $17,333 + $41,000

= $58,333

So, the payback period would be

= $170,000 ÷ $58,333

= 2.91 years

Rather than competing head to head with established competitors, many companies seek out unoccupied positions in uncontested market spaces. They try to create products and services for which there are no direct competitors. This is called a ________.
a. "red ocean strategy"
b. "strategic sweet spot"
c. "common platform"
d. "blue ocean strategy"
e. "strategic platform"

Answers

Answer:

The correct answer is d. "blue ocean strategy".

Explanation:

The strategy seeks to set aside competition between companies, expanding the market through innovation. What companies need to be successful in the future is to stop competing with each other. In the last twenty-five years, all strategic thinking has been directed to the red ocean; The administration defines that in the competition there is the success or failure of the companies, which has allowed many to know how to perform skillfully in this world, but ignoring that another type of strategy could generate better results, without worrying so much about the competition.

The red ocean represents all existing industries today. These companies must have clearly marked limits, as well as defined competencies, and their objective is to overcome the rival and gain a great position in the market. They are constantly exposed to the emergence of new competitors, which decrease their chances of growth. Usually, this type of ocean is the reality of every business.

To help pay for a class trip at the end of their senior​ year, the sophomore class at a high school invests ​$1700 from​ fundraisers in a 30​-month CD paying 4.5​% interest compounded monthly. Determine the amount the class will receive when it crashes in the CD after 30 months.

Answers

Final answer:

Using the compound interest formula, the sophomore class would receive approximately $1901.93 from their $1700 investment in a 30-month CD at 4.5% interest compounded monthly after 30 months.

Explanation:

To calculate the final amount obtained from a certificate of deposit (CD) with compounded interest, you can use the compound interest formula: A = P[tex](1 + r/n)^{(nt)}[/tex], where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.

In this case, the high school sophomore class invested $1700 at an annual interest rate of 4.5% (0.045 in decimal form) compounded monthly (n = 12) for a period of 30 months (which is 30/12 = 2.5 years). Therefore, the formula to determine the amount they will receive after 30 months would be:

A = 1700 * [tex](1 + 0.045/12)^{(12*2.5)}[/tex]

Let's do the math:

A = 1700 * [tex](1 + 0.00375)^{(30)}[/tex]

A = 1700 *[tex](1.00375)^{30}[/tex]

A ≈ 1700 * 1.11878

A ≈ $1901.93

So, after 30 months, the sophomore class would receive approximately $1901.93 when they cash in their CD.

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