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Slav-nsk [51]
2 years ago
5

Svetlana won $1,000,000 in a contest, to be paid in twenty $50,000 payments at yearly intervals, the first payment paid at the t

ime of the contest. (Of course, the present value of her winnings is less than $1,000,000.) Svetlana decided to keep X each year to spend and deposit the remaining $50;000 X into an account earning an annual effective interest rate of 5%. She chose the value X to be as large as possible so that, at the moment of the 20th deposit, the account would have grown to such a size that it would provide Svetlana and her heirs at least X per year in interest forever. Find X.
Business
1 answer:
goldfiish [28.3K]2 years ago
7 0

Answer: 31155.5

Explanation:

The following can be deduced from the question:

Money won = $1,000,000

Installments made yearly = $50,000

Interest rate = 5%

The yearly deposits made by Svetalana will be: = 500000-x

The future Value of the yearly deposits made by Svetalana will be:

= (50000-x) × (1/(1.05) + (1/(1.05)^2 .....(1/(1+0.05)^20))

= (500000-x) × 33.066

We should recall that the interest from the question is equated to x. This will be:

33.066 × (50000-x) × 0.05 =x

1.6533(50000 - x) = x

82665 - 1.6533x = x

2.6533x = 82665

x = 82665/2.6533

x = 31155.5

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Peter Metcalf founded Black Diamond which creates, produces, and sells outdoor equipment. This is an example of
Liula [17]

Answer:

manufacturing organization

Explanation:

This is an example of a manufacturing organization. This is an organization that focuses on gathering all of the necessary ingredients, which are then placed in a specific process to which combines them to make a unique product. This product is then sold to other companies or individual customers to generate profit for the company. This is exactly what Black Diamond does in order to produce outdoor equipment.

5 0
2 years ago
Duckistan Production Possibilities A B C D E Civilian Goods 20 18 14 8 0 Military Goods 0 1 2 3 4 Herbania Production Possibilit
olganol [36]

Answer:

B. Herbania is technologically superior to Duckistan in producing civilian goods.

Explanation:

Duckistan Production Possibilities

                            A    B    C    D    E

Civilian Goods    20  18   14    8    0

Military Goods     0     1    2     3    4

opportunity cost  -     ¹/₁₈  ¹/₇  ³/₈   4     civilian goods

opportunity cost  20  18   7   2.7   -     military goods

Herbania Production Possibilities

                            A    B    C    D    E

Civilian Goods    40  36  26   14   0

Military Goods     0    1     2     3    4

opportunity cost  -    ¹/₃₆  ¹/₁₃  ³/₁₄  4     civilian goods

opportunity cost  40 36   13  4.7   -     military goods

Herbania has an absolute advantage in the production of civilian goods. Since it also has a lower opportunity cost of producing civilian goods, therefore, it also has a comparative advantage at producing civilian goods. Assuming that resources are equal in both countries, then we can assume that Herbania is technologically superior in the production of civilian goods.

Dukistan has a lower opportunity cost of producing military goods, therefore, it has a comparative advantage at producing military goods.

3 0
2 years ago
Oriole Company accumulates the following data concerning a mixed cost, using miles as the activity level. Miles Driven Total Cos
Fynjy0 [20]

Answer:

$1.2 per mile

Explanation:

Computation of the variable cost per mile using the high-low method

Using this formula

Variable cost per mile = (Highest activity cost - Lowest activity cost)/(Highest activity - Lowest activity)

Let plug in the

Variable cost per mile= (14,721 - 13,503)/(8,510 - 7,495)

Variable cost per mile= 1,218/1,015

Variable cost per mile=$1.2 per mile

Therefore the Variable cost per mile will be $1.2 per mile.

6 0
2 years ago
You may have all the skills required by the job, but if your social style rubs the interviewer the wrong way you are not getting
ollegr [7]

Answer:

The correct answer is Stay on topic with relevant examples of actions and results.

Explanation:

If you are in the hard work of looking for a job, you have to know that recruiters will ask you a series of questions in a job interview. With them, they will seek to cover the basic aspects of your professional profile, this before having a more detailed conversation. Recruiters often have a battery of questions they ask to have a first approach, if you answer correctly, fluently, attractively, seriously and with clear examples, they will probably take you to the next stage of the process. These are the nine questions in a job interview that you must master, as well as an answer guide for you to be as well prepared as possible and succeed.

7 0
2 years ago
If inventory increases under the retail method, which of the following is true: a. Under the Average Cost retail method, a new l
NeTakaya

Answer:

d. Under the LIFO retail method, a new layer would be added.

Explanation:

The retail method is used to estimate ending inventory/cost of goods sold and is  widely used for financial reporting purposes, especially for quarterly financial statements. Retail methods are usually used with the weighted average cost flow assumption, FIFO or LIFO.

Now when the inventory increases under the retail method, LIFO retail method is the best to use because it gives you the highest cost of goods sold and the lowest taxable income. LIFO layer refers to a tranche of cost in an inventory costing system that follows the last-in, first-out (LIFO) cost flow assumption. Therefore when inventory increases under the LIFO retail method, a new layer would be added.

3 0
2 years ago
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