XYZ company is considering developing new computer software. Th e cost of development will be $775,000 and management expects the net cash flow from sale of the software to be $200,000 for each of the next six years. If the discount rate is 13 percent, what is the net present value and payback period of this project?

/in /by

Assignment Questions:  (Marks: 15)

A company issued 10-year bonds three years ago with a coupon of 7 percent. If the current market rate is 8 percent and the bonds make annual coupon payments, what is the current market value of one of these bonds? what is the current market value of one of these bonds if it was a zero-coupon rate? (2.5 Marks)

Bond price =

= n = 10

Coupon rate = C  = 7%

 

ABC company is growing at a constant rate of 7 percent every year. Last week the company paid a dividend of $1.8. If dividends are expected to grow at the same rate as the fi rm and the required rate of return is 12 percent, what should be the stock’s price four years from now? (2.5 Marks)

 

XYZ company is considering developing new computer software. Th e cost of development will be $775,000 and management expects the net cash flow from sale of the software to be $200,000 for each of the next six years. If the discount rate is 13 percent, what is the net present value and payback period of this project? (2.5 Marks)

 

A chemical company is considering buying a magic fan for its plant. Th e magic fan is expected to work forever and help cool the machines in the plant and, hence, reduce their maintenance costs by $6,000 per year. Th e cost of the fan is $50,000. Th e appropriate discount rate is 10 percent, and the marginal tax rate is 35 percent. Should the company buy the magic fan? (2.5 Marks)

 

Define bond yield to maturity. Why is it important? (2.5 Marks)

Explain why preferred stock is considered to be a hybrid of equity and debt securities? (2.5 Marks)

 

 

 

 

 

Find two new sets of data within your same topic and create a different graphical representation (graph/chart) for each set of data.

/in /by

Poverty and Highschool Graduation Rates In the U.S.

1.) Reread your initial post from last week’s discussion board. Recall the topic you chose and the graphical representation you’ve already created.

2.) Find two new sets of data within your same topic and create a different graphical representation (graph/chart) for each set of data. This means you will have three total graphical representations based on three different sets of data within the same topic. This also means that you should have 3 completely different types of graphs/charts (for example: one pie chart, one bar graph, and one line graph) with no repeated graph/chart types.

3.) Post all three graphical representations, including the one you made last week, into this week’s discussion board for your initial post. Post written summaries for each graphical representation, analyzing each in a thorough manner. You must make your initial post by Day 4 of the week, and you must cite the source of these data sets in your initial post, using proper APA formatting.

Click on this link to view how to embed images into Discussion Forum.

Submit the algorithm in pseudocode (or any computer language) to minimize f(x) by finding vector x using gradient-based optimization: f(x) = 0.5 * ||A * x − b||^2, where A, x, and b are some vectors.

/in /by

Optimization

Submit the algorithm in pseudocode (or any computer language) to minimize f(x) by finding vector x using gradient-based optimization: f(x) = 0.5 * ||A * x − b||^2, where A, x, and b are some vectors.

 

Determine Mathematics the values of m and n for 𝑓(𝑥) = 𝑚𝑥^3 + 12𝑥^2 + 𝑛𝑥 − 3 given that the remainder when dividing by (𝑥 + 3) is zero, and when divided by (𝑥 − 2) the remainder is 85.

/in /by

Mathematics question

Determine Mathematics the values of m and n for 𝑓(𝑥) = 𝑚𝑥^3 + 12𝑥^2 + 𝑛𝑥 − 3 given that the remainder when dividing by (𝑥 + 3) is zero, and when divided by (𝑥 − 2) the remainder is 85.

85 = m(2)^3 + 12(2)^2 + n(2) -3

85 = 8m +48 +2n -3

85-48+3 = 8m+2n

40/2 = 8m +2n /2

20 = 4m + n (Equation 1)

0 = m(-3)^3 +12(-3)^2 +n(-3) -3

0 = -27m +108 -3n -3

0 = -27m +105 -3n

-105/-3 = -27m -3n /-3

35 = 9m + n (equation 2)

(equation 1 – equation 2) 20 = 4m + n – 35 = 9m + n —> -15 = 5m divide by 5 and you get m = -3

now plug m into equation 1 to get n

20 = 4(-3) + n —> n= 32

 

 

Discuss some types of queries for which renaming of attributes is necessary in order to specify the query unambiguously. Discuss the various types of inner join operations. Why is theta join required?

/in /by

The Relational Algebra and Relational Calculus

List the operations of relational algebra and the purpose of each.

8.2. What is union compatibility? Why do the UNION, INTERSECTION, and DIFFERENCE operations require that the relations on which they are applied be union compatible?

8.3. Discuss some types of queries for which renaming of attributes is necessary in order to specify the query unambiguously.

8.4. Discuss the various types of inner join operations. Why is theta join required?

8.5. What role does the concept of foreign key play when specifying the most common types of meaningful join operations?

8.6. What is the FUNCTION operation? For what is it used?

8.7. How are the OUTER JOIN operations different from the INNER JOIN operations? How is the OUTER UNION operation different from UNION?

8.8. In what sense does relational calculus differ from relational algebra, and in what sense are they similar?

8.9. How does tuple relational calculus differ from domain relational calculus?

8.10. Discuss the meanings of the existential quantifier (∃) and the universal quantifier (∀).

8.11. Define the following terms with respect to the tuple calculus: tuple variable, range relation, atom, formula, and expression.

8.12. Define the following terms with respect to the domain calculus: domain variable, range relation, atom, formula, and expression.

8.13. What is meant by a safe expression in relational calculus?

8.14. When is a query language called relationally complete?

 

Under “Data and Stats by Topic”, pick a topic you find interesting. Pick a set of data and create a graphical representation for it.

/in /by

Poverty and Highschool Graduation Rates In the U.S

1.) Visit the following page: https://www.cdc.gov/DataStatistics/Links to an external site.

2.) Under “Data and Stats by Topic”, pick a topic you find interesting. Click on the topic. After you choose a topic be sure to put in that information in the previous page title PICK YOUR TOPIC HERE. Do not delete anyone else’s information on that page. Do not select a topic that has already been selected.

3.) Here, you will find a lot of data and information concerning your topic. You will pick a set of data and create a graphical representation for it, (i.e. a line graph, bar graph, pie chart). Make note: you MUST create your OWN graphical representation. Copied graphs DO NOT COUNT. You must cite the source of this data set in your initial post, using proper APA formatting.

4.) In your initial post, due by Day 4, you will introduce your topic and its importance along with discussing methodology and numerical findings in the data. You will also include your graphical representation and give a summary of it. You may post your graphical representation as an image directly into the textbox, copied from Excel or another program/website you used to generate it.

Click on this link to view how to embed images into Discussion Forum.

Make Note for next week: For the Week 4 Discussion next week, you will continue on with the same topic but you will create two more graphical representations using two new, different sets of data. Your two new graphical representations must also be different chart/graph types from your first one here and from each other.

Verify that the function y = e-3x ± 2x + 3 is a solution to the differential equation y’-h 3y = 6x + 11.

/in /by

Differential Equations

Verify that the function y = e-3x ± 2x + 3 is a solution to the differential equation y’-h 3y = 6x + 11.

 

Find a formula for the total cost of owning Model A where the number of years you own the car is represented by x. Find a formula for the total cost of owning Model B where the number of years is the independent variable.

/in /by

Algebra

Suppose you want to buy a new car and are trying to choose between two models:

  1. Model A: costs $16,500 and its gas mileage is 25 miles per gallon and its insurance is $250 per year.
  2. Model B: costs $24,500 and its gas mileage is 40 miles per gallon and its insurance is $450 per year.

If you drive approximately 40,000 miles per year and the gas costs $3 per gallon:

  1. Find a formula for the total cost of owning Model A where the number of years you own the car is represented by x.
  2. Find a formula for the total cost of owning Model B where the number of years is the independent variable.
  3. Find the total cost for each model for the first five years.
  4. If you plan to keep the car for 4 years, which model is more economical? What about if you plan to keep it for 6 years?Find the number of years
  5. in which the total cost to keep the two cars will be the same.
  6. Identify the number of months where neither car holds a cost of ownership advantage.
  7. What effect would the cost of gas doubling have on cost of ownership? Graph or show hand calculations.
  8. If you can sell either car for 40% of its value at any time, how does the analysis change? Graph or show hand calculations.

 

If a student is selected at random, find the probability that he or she owns a credit card AND that the student is a sophomore. Round your answer to three decimal places.

/in /by

DISCUSSION ESSAY

The following problem reflect the reading material you had to prepare for this week. Write it down, and solve it in detail (show all of your steps). In your solutions, you are only to use the math concepts that have been covered in this course up to this point.

A group of students were asked if they carry a credit card. The responses are listed in the table.

Class Credit Card Carrier Not a Credit Card Carrier Total

Freshman 11 42 53

Sophomore 13 34 47

Total 24 76 100

 

a) If a student is selected at random, find the probability that he or she owns a credit card AND that the student is a sophomore. Round your answer to three decimal places.

b) If a student is selected at random, find the probability that he or she owns a credit card OR that the student is a sophomore. Round your answer to three decimal places.

c) Discuss the difference in part a and b.

A car that originally cost $3,668 in 1955 is valued today at $62,125 if in excellent condition, which is 14 times as much as a car in very nice condition—if you can find an owner willing to part with one for any price. What would be the value of the car in very nice condition?

/in /by

Week 5 math

Check figures for odd-numbered problems in Appendix B. Name Date

DRILL PROBLEMS (First of Three Sets)
Solve the unknown from the following equations:

5-1. X – 40 = 400

5-2. A + 64 = 98

5-3 Q + 100 = 400

5_4. Q – 60 = 850

5. 5  5Y = 75

5-6. P /6 = 92

5-7.  8 Y = 96

5-8. N/ 16 = 5

5-9. 4(P – 9) = 64

5-10. 3(P – 3) = 27

 

WORD PROBLEMS (First of Three Sets) 5-11. Lee and Fred are elementary school teachers. Fred works for a charter school in Pacific Palisades, California, where class size reduction was a goal for the school year. Lee works for a noncharter school where funds do not allow for class size reduction policies. Lee’s fifth-grade class has 1.4 times as many students as Fred’s. If there are a total of 60 students, how many students does Fred’s class have? How many students does Lee’s class have? LU 5-2(2) excel

  • 5-12. A car that originally cost $3,668 in 1955 is valued today at $62,125 if in excellent condition, which is 14 times as much as a car in very nice condition—if you can find an owner willing to part with one for any price. What would be the value of the car in very nice condition? LU 5-2(2)