Notes, summaries, assignments, exams, and problems for Mathematics

1. The role of business statistics is to convert data into meaningful info.

Which of the following statements about the relationship between interest rates and bond prices is true?

1. There is an inverse relationship between bond prices and interest rates.
2. There is a direct relationship between bond prices and interest rates.
3. The price of short-term bonds fluctuates more than the price of long-term bonds for a given change in interest rates. (Assuming that coupon rate is the same for both)
4. The price of long-term bonds fluctuates more than the price of short-term bonds for a given change in interest rates. (Assuming that the coupon rate is the same for both)

Answer: I and IV only

Bond Duration

Consider a bond with a face value of $1,000, a coupon rate of 8%, a yield to maturity of 9%, and ten years to maturity. This bond's duration... Continue reading "Relationship between Interest Rates and Bond Prices" »

Vector Determination by Length and Angle

V = <||V|| Cosθ, ||V|| Sinθ> ---> ||V||Cosθi + ||V||Sinθj

Example:

a) Find the vector of length 2 that makes an angle of π/4 with the positive x-axis.

b) Find the angle that the vector V = -₃ i + j makes with the positive x-axis.

a) <||V||Cosθ , ||V||Sinθ> = <2cos45, 2sin45> ---> <₂, ₂>

b) Normalize... ||V|| = _{(-3)² + 1²} = ₄ = 2 -----> V/||V|| = <-_3/2 , 1/2> = <cosθ, sinθ> ----> cosθ = -_3/2, sinθ = 1/2 ---> θ = 5π/6

Dot Product

If U = <U₁, U₂> and V = <V₁, V₂>, then the dot product is U•V = U₁V₁ + U₂V₂.

Example:

a) U = <3, 5>, V = <-1, 2> -----> U•V = (3)(-1) + (5)(2) ---> U•V = -3 + 10 --> U•V = 7

b) U = &... Continue reading "Vector Operations, Dot and Cross Products, and Lines" »

Multiples consist of using the multiples of a company similar to yours to apply to your numbers and get an approximation of what yours is worth. It is not the most accurate in my opinion.

An example would be the EBITDA multiple, you multiply EBITDA by that figure obtained by dividing the value of the company you are comparing yourself to by its EBITDA.

This method is useful because although the estimated value of your company is not precise, with this method you can see the evolution over time.

250. The increase in provisions is not considered an outflow of cash, so it goes to the income statement.

– 150. The following are considered cash outflows

Add the cash paid instantly by the customer recorded in the cash flow statement as cash received... Continue reading "Valuation Methods and Cash Flow Analysis" »

with reference to your advertisement in the tv, would you please send us full details price list and update brochure of your range of clothes

We are interested in the new model of Vans Old Skool 14.28

the Supreme with LV jacket and a few models of the Ellese´s new collection.

I would like to know how is the payment terms to see the posibble conditions to buy this products.

Also i want to know which method is using your company for the delivery date and the kind of delivery.

we look fordward to hearing from you soon

yours sincerely

10 reasons to use games in language teaching

1.Games create a context for meaningful communication. 2. This meaningful communication serves as a basis for comprehensible input. 3. Games add interest to what learners find boring. 4. Games can be used with all language skills. 5. Games offer a fun experience. 6. Games encourage participation from all learners. 7. Games are learner-centered activities. 8. Games work outside of class. 9. Games promote cooperative learning. 10. Games fit into multiple intelligence theory.

Using Games in Teaching English to Young Learners: How to Choose a Game

Students may wish to play games purely for fun. Teachers need more convincing reasons. The key to a successful language game is that the rules are clear. The... Continue reading "Benefits of Using Games, Songs, and Stories in Language Teaching" »

1.- Record.

Programmer Position Application

Dear Mr. Gilhooley,

I am writing to apply for the programmer position advertised on your website/in the Times Union on 25 January. As requested, I am enclosing a completed job application, my certification, my resume, and three references.

The opportunity presented in this listing is very appealing to me, and I believe that my strong technical experience and education will make me a very competitive candidate for this position and an asset to your organization. The key strengths that I possess for success in this position include:

• I have been in charge of 23 people in private banking.
• I strive for continued excellence.
• I provide exceptional contributions to customer service for all customers.
• I am a conscientious person

6) Distribution channels for automobiles in Japan and the United States are similar in that most car buyers in both countries visit dealerships before making a purchase.

8) Kodak adopted a direct involvement approach in Japan by utilizing independent agents, distributors and retailers.

9) A distributor with good contacts is obviously the best one to select in terms of generating quick sales and revenues.

10) When utilizing the services of a local independent distributor, management is well advised to treat the distributor as a temporary market-entry vehicle.

11) An exporter that is new to a particular market would do well to choose a middleman with a reputation for "cherry picking" products.

12) When Carrefour, Tesco, or Walmart set up shop in developing... Continue reading "1" »