Problem 5. Find the (first) derivative of each of the following functions:
1. y = 2t+4
2. y = tet
3. y = In(715)
4. y = 5t¹ln(t²)
5. y = In(e)
Answers
1. dy/dt = 2
2. dy/dt = te^t + ete^t = te^t + e^t * t = (t + 1) * e^t
3. The natural logarithm of a constant is always zero.
4. 5ln(t^2) + 10/t
The derivative of y = 2t + 4 with respect to t is:
dy/dt = 2
5. dy/dt = d(ln(e))/dt = 1/e = 1/2.71828... ≈ 0.3679
The derivative of y = tet with respect to t can be found using the product rule:
dy/dt = te^t + ete^t = te^t + e^t * t = (t + 1) * e^t
The derivative of y = ln(715) with respect to t is zero since the natural logarithm of a constant is always zero.
The derivative of y = 5t^1ln(t^2) with respect to t can be found using the product rule and the power rule:
dy/dt = 5ln(t^2) * d(t^1)/dt + 5t^1 * d(ln(t^2))/dt
= 5ln(t^2) * 1 + 5t^1 * (2/t^2)
= 5ln(t^2) + 10t/t^2
= 5ln(t^2) + 10/t
The derivative of y = ln(e) with respect to t is:
dy/dt = d(ln(e))/dt = 1/e = 1/2.71828... ≈ 0.3679
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Related Questions
Watt Financing leased a packing machine to Nuts Company. The noncancelable lease requires lease payments of $50,000 per year, payable in advance, over a five-year period. Nuts' incremental borrowing rate is 13%. Watt’s implicit interest rate (known to Nuts) is 11%. The lease term begins on January 1, 2019. The machine’s economic life is 10 years with a cost of $200,000 and fair value of $235,000. The collectability of the lease payments is probable for the lessor. Assuming that there is a guaranteed residual value of $20,000 to Watt.
Instructions
Provide the journal entries required on both Watt's and Nuts' books through December 31, 2020.
Problem 2. Same as Problem 1. Assuming that there is a bargain purchase option of $20,000 for Nuts.
Instructions
Provide the journal entries required on both Watt's and Nuts' books through December 31, 2020.
Problem 3. Same as Problem 1. Now assuming that the residual value of $20,000 is NOT guaranteed.
Instructions
Provide the journal entries required on both Watt's and Nuts' books through December 31, 2020?
Answers
Problem 1:
Journal entry on Watt's books on January 1, 2019:
Lease receivable: $235,000
Packing machine: $200,000
Unearned finance income: $35,000
Journal entry on Nuts' books on January 1, 2019:
Packing machine: $235,000
Lease liability: $235,000
Annual lease payment journal entry on December 31, 2019 and December 31, 2020 (assuming a calendar year-end):
Lease receivable: $50,000
Cash: $50,000
Interest revenue for Watt (11% x net investment in the lease) journal entry for each year-end:
Interest receivable: $22,350 ($235,000 - $35,000) x 11%
Interest revenue: $22,350
Amortization of unearned finance income for each year-end:
Unearned finance income: $17,650 ($35,000 / 2 years)
Finance income: $17,650
Journal entry for Watt to record residual value at the end of the lease term:
Cash: $20,000
Residual value: $20,000
Problem 2:
Journal entry on Watt's books on January 1, 2019:
Lease receivable: $235,000
Packing machine: $200,000
Unearned finance income: $15,000
Bargain purchase option: $20,000
Journal entry on Nuts' books on January 1, 2019:
Packing machine: $235,000
Lease liability: $235,000
Annual lease payment journal entry on December 31, 2019 and December 31, 2020 (assuming a calendar year-end):
Lease receivable: $50,000
Cash: $50,000
Interest revenue for Watt (11% x net investment in the lease) journal entry for each year-end:
Interest receivable: $21,850 ($235,000 - $15,000 - $20,000) x 11%
Interest revenue: $21,850
Amortization of unearned finance income for each year-end:
Unearned finance income: $7,500 ($15,000 / 2 years)
Finance income: $7,500
Journal entry for Nuts to exercise the bargain purchase option at the end of Year 2:
Packing machine: $20,000
Cash: $20,000
Problem 3:
Journal entry on Watt's books on January 1, 2019:
Lease receivable: $235,000
Packing machine: $200,000
Unearned finance income: $35,000
Journal entry on Nuts' books on January 1, 2019:
Packing machine: $235,000
Lease liability: $235,000
Annual lease payment journal entry on December 31, 2019 and December 31, 2020 (assuming a calendar year-end):
Lease receivable: $50,000
Cash: $50,000
Interest revenue for Watt (11% x net investment in the lease) journal entry for each year-end:
Interest receivable: $22,350 ($235,000 - $35,000) x 11%
Interest revenue: $22,350
Amortization of unearned finance income for each year-end:
Unearned finance income: $17,650 ($35,000 / 2 years)
Finance income: $17,650
Impairment loss for Watt at the end of Year 2 due to uncertainty of residual value:
Loss on impairment: $20,000
Allowance for impairment: $20,000
Note that the impairment loss reduces the carrying value of the lease receivable on Watt's books to its estimated recoverable amount. If in future periods, it becomes probable that the residual value will be realized, the allowance for impairment can be reversed (reducing the loss on impairment account) and the lease receivable can be adjusted accordingly.
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What is the name of the specific protection that the insurer provides to the policy holder
OA
exclusion
OB rider
OC coverage
OD premium
Answers
Answer:
option D is correct answer
Explanation:
hope it's helpful for you
Answer:
C coverage
Explanation:
QUESTION 22 What is one cost of avoiding insurance? A. falling into debt if faced with a serious problem B. not benefitting from insurance deductibles C. not being able to purchase a car or home D. facing increased probability of accidents
Answers
Answer:
A. falling into debt if faced with a serious problem
The Oceanion Peso (OCP) is pegged to the dollar at the rate of 8 peso per dollar. The US 1-month interest rate is currently 1%, whilst the equivalent Oceanian rate is 4%. If the expected change in the exchange rate, should the peso break its peg, is 5%, Calculate the closest to the implied probability of the peg breaking over the next month?
Answers
The implied probability of the Oceanion Peso (OCP) breaking its peg to the dollar over the next month is approximately 33.33%.
To calculate the implied probability, first, find the interest rate differential by subtracting the US interest rate from the Oceanian interest rate (4% - 1% = 3%).
Next, divide the expected change in the exchange rate (5%) by the interest rate differential (3%). The result is 5% / 3% = 1.67, which represents the odds in favor of the peg breaking.
Finally, to find the implied probability, divide the odds in favor by the sum of the odds in favor and 1 (1.67 / (1.67 + 1) = 1.67 / 2.67). This gives you the implied probability of approximately 33.33%.
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Advertising and marketing analytics, in-app analytics, and performance analytics are three popular types of ________ analytics.
Answers
Answer:
Mobile
Explanation:
Advertising and marketing analytics, in-app analytics, and performance analytics are three popular types of Mobile analytics.
What actions does the central bank take to control the rising inflation?
Answers
Raising interest rates to dampen demand and contain inflation.Interest is the amount of cash a lender or financial group receives for lending out money.
Interest also can talk to the quantity of possession a stockholder has in a corporation, typically expressed as a percent.
The 3 types of interest consist of easy (everyday) hobby, collected hobby, and compounding hobby. When cash is borrowed, normally via the approach of a loan, the borrower is required to pay the interest agreed upon with the aid of the two events.
The bank makes cash, and it then pays interest on the savings account in order that humans invest in financial savings accounts. The bank desires to have get entry to to the ones budget whilst it wants to offer loans.
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You are planning a PR campaign that will donate 2% of all room revenues to support the Alzheimer's Foundation for the
upcoming two weeks. You normally sell 4,200 rooms a week at an average rate of $214 per room. The campaign is so popular that you sell an
additional 204 rooms during the two week campaign. What is your net short-term cost or gain of the campaign?
Answers
Your net short-term cost or gain of the campaign is $873.
Net short term cost or gain
Using this formula
Net short term cost or gain=(Average rate per room×Additional rooms×Donation percentage)
Let plug in the formula
Net short term cost or gain=$214 per room×204 rooms×2%
Net short term cost or gain=$873.12
Net short term cost or gain=$873 (Approximately)
Therefore your net short-term cost or gain is $873.
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In figuring his alternative minimum tax (AMT), Lee generated a minimum tax credit which he is told will help avoid double taxation due to the treatment of certain income items recurring from year to year. As a result, upon payment of the AMT, Lee may apply this credit against his
Capital gains
AMT in future years
Ordinary income
Regular tax liability in future years
Answers
In figuring his alternative minimum tax (AMT), Lee generated a minimum tax credit, which can be used to avoid double taxation due to the treatment of certain income items recurring from year to year. This credit can be applied against Lee's regular tax liability in future years, not against his AMT or capital gains.
The AMT is a separate tax calculation designed to ensure that high-income individuals who may have taken advantage of certain tax deductions or credits still pay a minimum amount of tax.
If Lee has to pay the AMT in a given year, he can carry forward any unused minimum tax credit to offset his regular tax liability in future years, thus reducing his overall tax burden. This credit is applied against Lee's ordinary income, not specifically against capital gains.
It's important to note that tax laws and regulations can change over time, so it's always a good idea to consult a tax professional or refer to the most up-to-date tax guidelines for accurate information regarding specific tax credits and deductions.
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A new equipment requires an investment of $130,000 to generate an income of $20,000 for the first 3 years, thereafter, increasing by $10,000 for the remaining life of 10 years. To recover the investment under a no-return payback condition it will take:
Answers
To recover the investment under a no-return payback condition, it will take 6 years.
The payback period is a financial metric used to determine how long it takes to recover the initial investment in a project or equipment. In this case, the investment for the new equipment is $130,000, and the income generated is $20,000 for the first 3 years, increasing by $10,000 for the remaining 10 years.
To calculate the payback period, we need to determine when the total cumulative income equals or exceeds the initial investment. For the first 3 years, the total income generated would be $20,000 per year, resulting in a cumulative income of $60,000. We subtract this from the initial investment of $130,000, leaving a remaining amount of $70,000.
Since the income increases by $10,000 per year for the remaining 10 years, it will take an additional 7 years to accumulate $70,000. Therefore, the total payback period would be 3 years + 7 years = 10 years.
However, since we are looking for the payback period under a no-return condition, where no income is generated after recovering the investment, we subtract the additional 7 years from the total payback period. Hence, the final payback period under a no-return condition is 10 years - 7 years = 6 years.
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When eaton worked with the university of notre dame on its new engineering building to improve its energy efficiency and earn leed credits, both actors were working together for the first time. Therefore, the university’s buying situation can be classified as a ________.
Answers
When Eaton worked with the university of Notre dame on its new engineering building to improve its energy efficiency and earn leed credits, both actors were working together for the first time. Therefore, the university’s buying situation can be classified as a derived demand.
Notre Dame could be a good place to figure for. They need great benefits. lots of job opportunities for anyone with no experience. Appreciate the love and support they offer back to the staff. 81% of job seekers rate their interview experience at University of Notre Dame as positive.
Candidates give a median difficulty score of two.5 out of 5 (where 5 is that the highest level of difficulty) for his or her interview at University of Notre Dame. The University of Notre Dame is the nation's leading Catholic research university, providing a particular voice in instruction that's directly rigorously intellectual, unapologetically moral in orientation, and firmly embracing a service ethos.
The University of Notre Dame, having high acceptance rates and graduation rates, high rankings and lots of prestigious alumni remains NOT a league school. The league schools are a consortium of eight private universities based within the northeast region of the US. The academics at Notre Dame are very tough, especially within the engineering and science fields.
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In finance, we separate operating decisions from financing decisions and thus exclude ________ as a part of operating income from the income statement. Question 4 options: A) interest expense B) earnings C) dividends D) cash flow
Answers
Answer:
A) interest expense
Explanation:
Operating income or EBIT (earnings before interest and taxes) are calculated considering that the company is financed only through equity. The same applies when we are evaluating different projects, since we must be able to determine if the company or project can yield a profit without considering who paid for its operations.
The same applies for taxes, since it doesn't matter how high or low taxes are, if the company doesn't make a profit, then it will pay none.
According to the concept of the invisible hand, what emerges due to the self-interested
choices of buyers and sellers in a free market?
Answers
Answer: The invisible hand is a metaphor for how, in a free market economy, self-interested individuals can promote the general benefit of society at large.
Question:
Which job title describes a person with a career in natural resources?
•production manager
•architectural engineer
•environmental scientist
•tile setter
Answers
Answer: its environmental scientist
Explanation:
When evaluating business plans THESE are primarily concerned with the four Cs of credit. Employees Investors Vendors Lenders
Answers
During an evaluation of business plan, the four Cs of credit are mostly important and used by investors,
An investor in this context are those who borrow people money in return for interest payable on the loan given out.
The investor are the set of people who mostly employs the 4C's of credit.
Hence, during the evaluation of a business plan, the four Cs of credit are mostly important and used by investors,
Therefore, the Option B is correct.
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1) An auto dealership has a decline in revenue, but an increase in gross profit – explain how this can occur
1a) Which division within a car dealership has the highest margins? Why?
1b) If Constellation Software and Danaher combined forces to enter the auto retail industry (car dealerships), what would the results look like? Describe the likely strategic choices made by such a firm.
Answers
An auto dealership can experience a decline in revenue but an increase in gross profit due to a shift in the sales mix towards higher-margin vehicles or an improvement in operational efficiency.
A decline in revenue accompanied by an increase in gross profit can occur for several reasons. One possibility is a shift in the sales mix towards higher-margin vehicles. For example, if the dealership sells more luxury or high-end cars compared to lower-priced models, the average selling price and profit margin per vehicle would increase. Even if the total number of units sold decreases, the higher profit margins on the luxury cars can compensate for the decline in revenue.
Another factor could be an improvement in operational efficiency. This can be achieved through cost-saving measures, such as reducing overhead expenses, optimizing inventory management, or negotiating better deals with suppliers. By streamlining operations and reducing costs, the dealership can increase its gross profit even if the overall revenue decreases.
Additionally, changes in the pricing strategy or financing options offered by the dealership can also impact revenue and gross profit. For instance, the dealership may focus on selling additional services or extended warranties, which can contribute to higher gross profit margins despite a decline in revenue from vehicle sales alone.
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Assume there are external benefits associated with the production of Good X. Without government regulation, the market will: produce too much of Good X. produce too much of Good X. price Good X less than the marginal social cost. price Good X less than the marginal social cost. produce too little of Good X. produce too little of Good X. price Good X greater than the marginal cost. price Good X greater than the marginal cost.
Answers
Answer:
produce too little of Good X. produce too little of Good X.
Explanation:
A good has positive externality if the benefits to third parties not involved in production is greater than the cost. an example of an activity that generates positive externality is research and development. Due to the high cost of R & D, they are usually under-produced. Government can encourage the production of activities that generate positive externality by granting subsidies.
A good has negative externality if the costs to third parties not involved in production is greater than the benefits. an example of an activity that generates negative externality is pollution. Pollution can be generated at little or no cost, so they are usually overproduced. Government can discourage the production of activities that generate negative externality by taxation. Taxation increases the cost of production and therefore discourages overproduction. Tax levied on externality is known as Pigouvian tax.
Government can regulate the amount of externality produced by placing an upper limit on the amount of negative externality permissible
Consider the various marketing appeals you encountered with mousetraps, identify some possible segments of the market. Which targeting strategy would you recommend for a mousetrap brand
Answers
When considering the various marketing appeals for mousetraps, possible segments of the market can be identified based on different consumer needs and preferences. Some potential segments could include:
Traditionalists: These are consumers who prefer classic, no-frills mousetraps that have been used for generations. They value simplicity and effectiveness in catching mice.
Humane-conscious consumers: This segment is concerned about the ethical treatment of animals and prefers mousetraps that capture mice alive without harming them, allowing for their release outside.
Convenience seekers: These consumers prioritize ease of use and quick disposal. They may be interested in mousetraps that are easy to set up, require minimal maintenance, and offer simple disposal methods.
Eco-friendly consumers: This segment values sustainability and seeks mousetraps made from environmentally friendly materials or ones that have a minimal impact on the ecosystem.
Considering the segments mentioned above, a targeting strategy that focuses on differentiation would be recommended for a mousetrap brand. By understanding the specific needs and preferences of each segment, the brand can develop mousetraps tailored to meet their requirements. This approach allows the brand to position itself uniquely in the market and cater to the diverse needs of different consumer segments. By targeting specific consumer groups, the brand can create tailored marketing messages and campaigns to effectively reach and engage with their target audience, leading to higher customer satisfaction and market share.
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During times of rising inflation the fed will undertake which of the following monetary policies?
multiple choice question.
expansionary
investment
open market
restrictive
Answers
During times of rising inflation, the Federal Reserve will undertake restrictive monetary policies.
When faced with rising inflation, the Federal Reserve aims to control and mitigate inflationary pressures through various monetary policy measures. One of the key tools employed in such situations is restrictive monetary policy.
Restrictive monetary policy refers to actions taken by the central bank to reduce the money supply, increase interest rates, and limit credit availability in the economy. By implementing these measures, the Federal Reserve aims to curb inflationary pressures by reducing consumer spending and investment.
These policies are often achieved through actions such as raising the benchmark interest rate, known as the federal funds rate, which influences borrowing costs throughout the economy. The Federal Reserve can also engage in open market operations, selling government securities to reduce the money supply.
The objective of restrictive monetary policy during times of rising inflation is to cool down the economy, dampen demand, and bring inflation rates under control. By tightening monetary conditions, the central bank aims to strike a balance between controlling inflation and maintaining overall economic stability.
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Jordan is living out the american dream; at long last he is ready to purchase his dream home, a two-story house in a modern, happening suburb just outside los angeles. Before he can purchase the house, though, he needs a loan. At the loan office, a credit check is performed on jordan despite the fact that he insists that he is fiscally responsible. The loan office discovers that jordan has bad credit due to unpaid credit card bills and refuses to give him a loan, dashing his dreams of his first home. This credit check is an example of moral hazard. Signaling. Screening. A sin tax
Answers
This credit check is an example of screening by the company given that a credit check is being performed on Jordan. Option 3
What is a credit check?A credit check, sometimes referred to as a credit search, is when a business examines data from your credit report to comprehend your spending patterns. Although they don't always require your permission to do this, they must have a good reason (e.g. you applied for a loan with them).
Your credit reports detail the kinds of credit accounts you've had, your payment history, and other details including your credit limitations.
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What is a public good?
A A public good is a product or service that one consumer can prevent another consumer from using, and is not accessible without
payment
B A public good is a product or service that one consumer cannot present another consumer from using, and is accessible without
payment
C A public good is a product or service that one consumer cannot prevent another consumer from using, and is not accessible without
payment
D A public good is a product or service that one consumer can prevent another consumer from using, and is accessible without payment.
Answers
I believe your answer is B
A public good is a product or service that one consumer cannot present another consumer from using, and is accessible without payment
Alicia is working on a presentation about the top 10 employees of the month in her office. She wants to add a bold effect to the word Congratulations and a bright red color to it. Which element in the presentation software is she highlighting?
Answers
Answer: Highlight the headings in bold and choose your preferred colour.
Explanation:
For Alicia To add a bold effect on the word, she has to highlight the word she wants to work with and increase the size to your desired colour, this is also applicable to choosing preferred colour
The Stocktons are moving into a new house this weekend. To transport all their household belongings, they will need to rent a truck for 1 day. The rental cost will be $45.00 per day plus $0.79 per mile. The collision waiver will cost $25.00. a. What will be their total cost if they pay $27.50 for diesel fuel and drive 68 miles? b. What will be their cost per mile?
I need it now pls I'm struggling
Answers
Answer:
see below
Explanation:
Rental cost for one day = $45.00
Additional costs per mile = $0.79 x 68
collision waiver cost =$25.00
Diesel fuel cost = $27.50
Total cost will be = $45.00 + $53.72 +$25 + $27.50
Total cost =$151. 22
cost per mile = total cost/ total miles
=$151.22/68 miles
=$2.22 per mile
If you are interviewed by more than one person, you should send a thank-you note to _____.
each person in the interview
each person you see in the building
the first person you are introduced to
the person who is obviously leading the interview
Answers
Answer:
option A is correct.
i.e.
each person in the interview.
Explanation:
Because thank-you letter provides a simple but effective way to express gratitude to all the individuals you met with.
The coordinates of point T are (0,5). The midpoint of is (6,-4). Find the coordinates of point S.
Answers
Answer:
Point S is at (10,-11) :)
Explanation:
True or False?
Social workers work at both the state and national level.
Answers
Explanation: because true
.....................................hi
Answers
Answer:
Hi!! I hope you are great. Thanks for the pts...
Profit is revenue minus expenses. If your profit is $3,000 and your revenue is $50,000, what are your expenses?
Answers
Cost savings realized through improved allocations of financial resources based on investments inside or outside the firm are called:
Answers
Cost savings realized through advanced allocations of financial resources based totally on investments internal or outside the firm are called capital budgeting efficiencies.
Capital budgeting refers to the technique of making plans and dealing with a firm's lengthy-time period investments, which include the evaluation of potential initiatives and the allocation of economic sources to maximize returns.
Efficient capital budgeting includes figuring out and prioritizing the most worthwhile investment opportunities, whether they're interior or outside the company. with the aid of carefully comparing ability tasks and allocating monetary sources accordingly, a firm can limit prices and maximize returns on funding.
Capital budgeting efficiencies may be carried out thru a ramification of techniques, together with progressed economic analysis, better venture choice criteria, and more effective aid allocation.
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If the price of a car is $3,500 with a 6% tax, and the percent of the down payment is 10%, what is the total amount of money you'll need to pay for the car? (total loan)
Answers
Based on the price of the car and the percent down payment, the total amount of money that you'll need to pay for the car is $560
What amount would you pay?The down payment on the car is:
= 3,500 x 10%
= $350
The tax on the car is:
= 3,500 x 6%
= $210
The total amount you'll need to pay for the car is:
= 350 + 210
= $560
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a flexible budget performance report indicates a sales variance of $200 unfavorable. the variance was likely caused by: multiple choice question. selling units for less than the budgeted price selling more units than budgeted selling units for more than the budgeted price
Answers
The variance was likely caused by selling units for less than the budgeted price.
How do you calculate a flexible budget's variance?For instance, a flexible budget model is created with the expectation that the cost per unit will be $100. 800 units were sold in the most recent month, with a $102 average selling price per unit. By multiplying 800 units by $2 per unit, the favorable flexible budget variance for revenue equals $1,600.
What is the difference between the actual sales results and the flexible budget?A flexible budget variation is a calculated discrepancy between the budget that was anticipated and the outcomes. In the aforementioned illustration, the corporation has a goal production capacity of 85%. The estimated or anticipated 212,500 unit sales volume results in a $740,625 profit.
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