A 100,000 loan is being repaid in 360 monthly installments at a 9% nominal annual interest rate compounded monthly. The first payment is due at the end of the first month. Determine which payment is the first where the amount of principal repaid exceeds the amount of interest paid.
Answer:
The payment after 1 year will be
F=P(1+i)^n
n=1 year
P=100,000
F=100000(1+0.09)
F=109000 after 1 year
interest=9/100*100000=90000
exceeded payment=109000-90000=19000
Answer: The 269th
Explanation:
payment= 100000×(9%/12)/(1-1/(1+9%/12)^360)
=804.6226169
Note that,
payment equal to the sum of principal and interest.
Payment= Principal + interest.
principal>interest
payment - interest >interest
interest<payment/2
Therefore,
Interest <804.6226169/2
Interest<402.3113085
The oustanding loan at the beginning of the month<402.3113085 × 12/9%
The loan oustanding at the beginning of the month < 53641.5078
So, the first month will be month after the month where loan oustanding after the monthly payment is less than 53641.5078
Time taken for the balance to reach less than 53641.5078 is NPER(9%/12,-804.6226169,100000,-53641.5078)=267.234234 or 268 months
Hence, first month is 268+1=269
Ninety-eight homeowners brought action seeking to enjoin as a nuisance the construction and operation of a ready-mix concrete plan on property adjacent to a residential area. Plaintiffs live southwest, west and east across the highway from the plant. The plant is bounded immediately on the north and south by other business concerns. The trial court found for the plaintiffs.
Did the defendant's operation of a concrete plant in an area zoned for light to general industrial use constitute a nuisance?
Why?
Answer:
The spirit of personal irritation is associate intervention with the utilization and pleasure of land. So long because the intervention is considerable and unreasoning, and love would be aggressive or problematic to the conventional individual, nearly any disruption to the satisfaction of property could quantity to a nuisance.
Final answer:
Whether the operation of a concrete plant constitutes a nuisance depends on several factors such as the extent of interference and zoning laws. Similar principles were applied in the Grayned v. City of Rockford case, which upheld an ordinance as constitutional. Zoning regulations must be reasonable and related to public welfare.
Explanation:
The operation of a ready-mix concrete plant adjacent to a residential area, even in a zone designated for light to general industrial use, may constitute a nuisance if it significantly interferes with homeowners' use and enjoyment of their property. Courts generally assess whether such an operation is a nuisance by considering factors such as the type and degree of interference, the character of the neighborhood, and the plant's operation's compliance with existing regulations.
In a similar vein, the Grayned v. City of Rockford case held that an ordinance prohibiting disturbances near a school was constitutional because it was narrowly tailored to serve a significant government interest and did not restrict more speech than necessary.
In assessing environmental justice and nuisances, it's also important to consider the principle of 'Not In My Back Yard' (NIMBY), community responses to undesirable facilities, and the impacts of zoning regulations. For instance, land-use and zoning regulations are limited and must be reasonable, bearing substantial relation to the public welfare without being arbitrary.
Following question #14, suppose the project requires an initial investment in net working capital of $300,000, and maintains at this level until the end of year 2. And, this net working capital will be recovered at the end of the project. What are the project's incremental free cash flows?
Final answer:
The project's incremental free cash flows include the initial investment of $300,000 in net working capital, which does not impact the free cash flows until it is recovered at the end of the project. This recovery is considered a cash inflow that must be included in the final calculation of the project's free cash flows.
Explanation:
The project's incremental free cash flows can be defined as the cash flows that are directly attributable to the project in question, separate from the company's other operations. When considering an initial investment in net working capital of $300,000, it is important to note that this investment is not an expense but rather it is a use of cash that is expected to be recovered at the end of the project. In the years leading up to the recovery, the net working capital will not impact the free cash flows since it remains constant. However, at the end of year 2, when the net working capital is recovered, this will generate a positive incremental free cash flow, as this money is returned to the firm.
Reinvesting in net working capital is key for a business to maintain its operations and support growth, as it ensures the company has the funds necessary to continue operating on a day-to-day basis. Importantly, the recovery of net working capital at the end of the project should be included in the project's incremental free cash flow calculations as a cash inflow.
To summarize, the investment in net working capital will temporarily remove cash from the company's free cash flow, but will return as a cash inflow when the working capital is recovered at the end of the project, thus generating incremental free cash flow at that time.
The movie theater has scheduled 6 showings a day. The movie theater can play a maximum of 8 trailers for every movie showing. However, because of the time needed to clean the theater after each showing, only 32 trailers are played every day. What is the Effective capacity utilization?
Answer:
The effective capacity utilization is 66.7%.
Explanation:
Effective capacity utilization is a metric used to determine whether th potential capacity is being utilized or not. This capacity utilization is also called the operating rate.
Capacity utilization is usually expressed by the formula: (Actual output / Maximum output) x 100
The maximum output per the question is 6 showings x 8 trailers = 48 trailers
Meanwhile, the actual out is 32 trailers
So, capacity utilization = 32/48 x 100 = 66.7%
The Effective capacity utilization of the movie theater is 66.67%, which is found by dividing the actual number of trailers played (32) by the maximum possible number of trailers (48) and multiplying by 100%.
Explanation:To calculate the Effective capacity utilization, we first determine the maximum number of trailers that could be played daily if the movie theater utilized its full capacity. With 6 showings a day and a maximum of 8 trailers per showing, the total possible trailers would be 48 (6 showings x 8 trailers). However, the theater is only playing 32 trailers each day.
The Effective capacity utilization is therefore calculated by dividing the actual output by the design capacity: 32 trailers played divided by the maximum possible 48 trailers, then multiplied by 100 to get the percentage. The calculation yields:
(32 trailers / 48 possible trailers) x 100% = 66.67%
Therefore, the Effective capacity utilization is 66.67%, signaling that the theater is utilizing two-thirds of its trailer-playing capacity.
Samuelson and Messenger (S&M) began 2018 with 300 units of its one product. These units were purchased near the end of 2017 for $22 each. During the month of January, 200 units were purchased on January 8 for $25 each and another 260 units were purchased on January 19 for $27 each. Sales of 190 units and 200 units were made on January 10 and January 25, respectively. There were 370 units on hand at the end of the month. S&M uses a periodic inventory system.
Required:
1. Calculate ending inventory and cost of goods sold for January using FIFO.
2. Calculate ending inventory and cost of goods sold for January using average cost.
Answer:
1. ending inventory $9,770 and cost of goods sold $8,850
2.ending inventory $9,135.30 and cost of goods sold $9,346
Explanation:
FIFO Inventory System Sells the Older Inventory Acquired First Followed by the Recent Acquired Inventory
Cost of Sale :
10 January (190 units × $22) = $4,180
25 January : (110 units × $22) = $2,420
(90 units × $25) = $2,250
Total = $8,850
Inventory :
110 units × $ 25 = $2,750
260 units × $27 = $7,020
Total = $9,770
Weighted Average Cost Method Calculates a New Cost of Inventory with each purchase made
New Cost 8 January
Unit Cost = Total Cost / Total Number of Units
=((300 units × $22) + (200 units × $ 25)) / (300 units + 200 units)
= $23.20
New Cost 19 January
Unit Cost = Total Cost / Total Number of Units
=((310 units × $23.20) + (200 units × $ 27)) / (310 units + 200 units)
= $24.69
Cost of Sale :
10 January (190 units × $23.20) = $4,408
25 January : (200 units × $24.69) = $4,938
Total = $9,346
Inventory :
370 units × $24.69 = $9,135.30
4.1 Measuring Interest Rates 1) The concept of ________ is based on the common-sense notion that a dollar paid to you in the future is less valuable to you than a dollar today. A) present value B) future value C) interest D) deflation
Answer:
The correct answer is letter "A": present value.
Explanation:
The Present Value of Money concept states that it is better to have a dollar today than a dollar tomorrow. This happens because having money today implies it can be deposited in a bank account to benefit from the interest rate or invest it so at a certain point in time the same amount of money will have a higher value.
Having the money available tomorrow may not provide the same returns as if the started to be invested yesterday.
Alpha Division had the following information: Average operating asset base in Alpha Division $500,000 Operating income in Alpha Division $60,000 Cost of capital 14% Target return on investment (ROI) 16% Margin for Alpha Division 21% If the asset base is decreased by $120,000, with no other changes, what will Alpha Division's return on investment be? (Note: Round answer to two decimal places.)
Answer:
15.79%
Explanation:
The computation of the return on investment is shown below:
Return on investment = Operating Income ÷ New operating asset base
where,
Operating income is $60,000
And, the new operating asset is
= $500,000 - $120,000
= $380,000
So, the return on investment is
= $60,000 ÷ $380,000
= 15.79%
By dividing the operating income from the new operating asset base we can get the return on investment
________ refer to the marketing communications element that involves company-sponsored activities and programs designed to create daily or special brand-related interactions with consumers. A. Advertisements B. Publicity campaigns C. Events and experiences D. Trade promotions
Answer:
Option "A" is correct.
Explanation:
Advertisements is the only correct answer in the context of Marketing Communication. Thank you.
Answer:
Events and experiences
Explanation:
Marketing communications can be defined as the different methods and approach that is employed by various companies to persuade potential customers to purchase their products.
Marketing communications helps to obtain new set of customers for businesses by building a great sense of awareness and encouraging the customers to test out the product.
A lot of different organisations sponsor variety of events such as sports, entertainment, with the sole purpose of strengthening their brand in the minds of the potential customers and also to create a long term association with the customers.