1. Find the quadratic product of each of the following
a) (x + 2)( x + 7) =
b) (x – 2)(x – 7 ) =
c) (x – 2 )(x + 7) =
d) (x + 2)( x – 7) =
e) (x + 7)(x – 7) =
2. Factorize the following
a) x²– 6x – 16 =
b) x² + 6x – 16 =
c) x² − 16 = (2, 2, 1 mark)
3. Find the equation of the line joining the points (1, 4) and (-3, -2)
( 5 marks)
4. Find the equation of the line passing through the point (2, 3) and
parallel to the line 4y = 5x + 2

Each of the four independent situations below describes a sales-type lease in which annual lease payments of $10,000 are payable at the beginning of each year. Each is a finance lease for the lessee. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)

  
Determine the following amounts at the beginning of the lease (Round your final answers to nearest whole dollar.):

This is what I have so far. The missing blanks are the answers i can't get.

PLEASE SHOW WORK SO I CAN UNDERSTAND HOW TO COMPLETE THE QUESTIONS. THANKS. :)

PYTHON ONLY NO JAVA! PLEASE INCLUDE PSEUDOCODE AS WELL!

Program 4: Design (pseudocode) and implement (source code) a program (name it LargestOccurenceCount) that read from the user positive non-zero integer values, finds the largest value, and counts it occurrences. Assume that the input ends with number 0 (as sentinel value to stop the loop). The program should ignore any negative input and should continue to read user inputs until 0 is entered. The program should display the largest value and number of times it appeared as shown below in this sample runs. Document your code and properly label the input prompts and the outputs as shown below.

Sample run 1:

Enter positive integers (0 to quit): 3 4 5 -9 4 2 5 1 -5 2 5 0

Largest value: 5

Occurrences:   3 times

Sample run 2:

Enter positive integers (0 to quit): 3 7 5 -4 4 2 -5 5 1 7 0

Largest value: 7

Occurrences:   2 times

Sample run 3:

Enter positive integers (0 to quit): 2 9 8 -4 8 9 -5 8 9 1 7 7 9 0

Largest value: 9

Occurrences:   4 times

Write a Java program (name it LargestOccurenceCount) that reads from the user positive non-zero integer values, finds the largest value, and counts it occurrences. Assume that the input ends with number 0 (as sentinel value to stop the sentinel loop). The program should ignore any negative input and should continue to run.

Hint: to remember/save entered (good) values, you can concatenate them into a string (separated by spaces) that you can output later on.

Sample runs showing input prompts and outputs are (DO NOT read inputs as String type):

Enter positive integers (0 to quit): 3 4 5 -9 4 2 5 1 -5 2 5 0

You entered: 3 4 5 4 2 5 1 2 5

Largest value: 5

Occurrences: 3 times

Enter positive integers (0 to quit): 3 7 5 -4 4 2 -5 5 1 7 7 0

You entered: 3 7 5 4 2 5 1 7 7

Largest value: 7

Occurrences: 3 times

Document your code, and organize and space out your outputs as shown. Design your program such that it allows the user to re-run the program with different inputs in the same run (i.e., use a sentinel loop structure).

Consider the following probability distribution for stocks A and B.

1. What are the expected returns and standard deviations for stocks A and B?

2. What is the correlation coefficient between the two stocks?

3. Suppose the risk-free rate is 2%. What is the optimal risky portfolio, its expected return and its standard deviation?

4. Suppose that stocks A and B had the expected return and standard deviations as you calculated in question 1, while being perfectly negatively correlated. Again, assume the risk-free rate is 2%. Describe the global minimum variance portfolio in this case (that is, the proportions (w_E, w_D), the expected return and standard deviation).

Taylor Polynomial HW

1) Evaluate cos ( 2 π / 3 ) on your calculator and using the first 4 terms of the TP for cos x.

2) Integrate cos ( x^3 ), from 0 to π / 6, using the first 3 terms of the TP for cos x.

3) Evaluate e^x at x = .4 on your calculator and using the first 5 terms of the TP for e^ x.

4) Integrate e^x3, from 0 to .3, using the first 3 terms of the TP for ex.

5) If I integrate 1/(1-x) I will get - ln (1 - x). Integrate the given TP for 1/(1-x). What is the TP for - ln ( 1 - x )?

6) What is the value of, - ln ( 1 - x ) if x = .3? I got .3567. Use the first 4 terms of the TP you created in question 5 and see if you obtain the same result. I got .3560.
  

Here are other Taylor Polynomials for other trig functions:

tan ( x ) = x + (1/3) x3 + (2/15) x5 + (17/315) x7 + (62/2835) x9 + ....


sec ( x ) = 1 + (1/2) x2 + (5/24) x4 + (61/720) x6 + ...

7) Find the integral of tan x from 0 to π / 6. Use the first 3 terms of the TP.

8) Find a TP for sec 2 x, recall sec 2 x is the derivative of tan x.

9) On your calculator, what is the cos (π / 3)? You should get 1/2. Obviously, the sec (π / 3) is 2. Use the first 4 terms of the TP for sec x and see if the answers agree.

Show the complete and neat solution.

1. A plane through the origin is perpendicular to the plane 2? − ? − ? = 5 and parallel to the line joining the points A (1, 2, 3) and (4, -1, 2). Find its equation.

The dataset HomesForSaleCA contains a random sample of 30 houses for sale in California. Suppose that we are interested in predicting the Size (in thousands of square feet) for such homes.

State   Price   Size    Beds    Baths
CA      500     3.2     5       3.5
CA      995     3.7     4       3.5
CA      609     2.2     4       3
CA      1199    2.8     3       2.5
CA      949     1.4     3       2
CA      415     1.7     3       2.5
CA      895     2.1     3       2
CA      775     1.6     3       3
CA      109     0.6     1       1
CA      5900    4.8     4       4.5
CA      219     1.1     3       2
CA      255     1.2     3       2
CA      86      0.6     1       1
CA      62      1.2     3       2
CA      165     1.9     5       3.5
CA      1695    6.9     5       5.5
CA      499     1.4     3       2
CA      47      1.5     3       2
CA      195     2       3       2.5
CA      775     1       2       2
CA      199     1.4     3       2
CA      480     3       5       3
CA      173     0.9     3       1
CA      189     2.5     2       2
CA      230     1.7     3       2
CA      380     2.1     5       3
CA      110     0.8     2       1
CA      499     1.3     3       2
CA      399     1.4     3       2
CA      2450    5       4       5

1. What is the total variability in the sizes of the 30 homes in this sample? (Hint: Try a regression ANOVA with any of the other variables as a predictor.)

2. What other variable in the HomesForSaleCA dataset explains the greatest amount of the total variability in home sizes? Explain how you decide on the variable.

3. How much of the total variability in home sizes is explained by the "best" variable identified in question 2? Give the answer both as a raw number and as a percentage.

4. Which of the variables in the dataset is the weakest predictor of home sizes? How much of the variability does it explain?

5. Is the weakest predictor identified in question 4 still an effective predictor of home sizes? Include some justification for your answer.

thank you for your help!

Calculate the NPV for Project A and accept or reject the project with the cash flows shown below if the appropriate cost of capital is 7%

Project A
Time 0 1 2 3 4 5
Cash Flow -990 350 480 500 630 120

2) Calculate the NPV for project L and recommend whether the company should accept or reject the project. Cost of Capital is 6%

Project L
Time 0 1 2 3 4 5
Cash Flow -         8,600           5,000           5,800           5,800           5,000 -       10,000

3) Calculate the Pay Back for project K and decide if the firm should accept or reject the project. Cost of Capital is 11% and the maximum allowable payback is 4 years

Project K
Time 0 1 2 3 4 5
Cash Flow -       11,000           3,230           4,120           1,530           3,500              990

4) Calculate the Discounted Pay Back for project S and decide if the firm should accept or reject the project. Cost of Capital is 10% and the maximum allowable discounted payback is 3 years

Project S
Time 0 1 2 3 4 5
Cash Flow -       11,000           3,350           4,120           2,280           3,500           1,000

5) Calculate the IRR for project T and decide if the firm should accept or reject the project. Appropriate Cost of Capital is 8%

Project T
Time 0 1 2 3 4 5
Cash Flow -       11,000           3,350           4,120           1,530           3,500           1,000

6) Calculate the MIRR for project I and decide if the firm should accept or reject the project. Appropriate Cost of Capital is 12%. Reinvestment rate is 5%

Project I
Time 0 1 2 3 4
Cash Flow -       11,000           5,330           4,120           1,530           2,030

7) Calculate the PI for project D and decide if the firm should accept or reject the project. Appropriate Cost of Capital is 8%

Project D
Time 0 1 2 3 4 5
Cash Flow -         1,000              330              485              620              289              100

( PARTS 5-8 Only )

1.Generate a scatter plot for CREDIT BALANCE vs. SIZE, including the graph of the "best fit" line. Interpret.

2.Determine the equation of the "best fit" line, which describes the relationship between CREDIT BALANCE and SIZE. Interpret the values for slope and intercept.

3.Determine the coefficient of correlation. Interpret.

4.Determine the coefficient of determination. Interpret.

5. Test the utility of this regression model (use a two tail test with α=.05) by setting up the appropriate test of hypothesis. Interpret your results, including the p-value.

6. Based on your findings in 1-5, what is your opinion about using SIZE to predict CREDIT BALANCE? Explain.

7.Compute the 98% confidence interval for β1 (the population slope). Interpret this interval.

8. What can we say about the credit balance for a customer that has a household size of 9 ? Explain your answer.