Details of Notes Receivable and Related Entries

Gen-X Ads Co. produces advertising videos. During the current fiscal year, Gen-X Ads Co. received the following notes:

Required:

Assume 360 days in a year.

1. Determine for each note (a) the due date and (b) the amount of interest due at maturity, identifying each note by number.

2. Journalize the entry to record the dishonor of Note (3) on its due date. If an amount box does not require an entry, leave it blank or enter "0".

3. Journalize the adjusting entry to record the accrued interest on Notes (5) and (6) on December 31.

4. Journalize the entries to record the receipt of the amounts due on Notes (5) and (6) in January. If an amount box does not require an entry, leave it blank or enter "0".

Q. I would like you to use a fixed point method to solve the positive real quadratic root of 4 by solving h(x) = x^4 − 4 = 0. The standard method manipulates h(x) = 0 into g(x) = x so that the iterative scheme becomes xn+1 = g(xn). The iterative scheme will converge to the required solution if the root is in the interval defined by |g '(x)| < 1

(i) We begin by adding x to both sides of the equation to form x = x^ 3− 4+ x such that g(x) = x ^3 + x − 4. Will the root be found? (ii) We now try adding −2x to both sides of the equation to form −2x = x ^4− 4 − 2x such that g(x) = −1/ 2 (x ^4− 2x − 4 ) Will the root be found? (iii) What is the smallest value k that will guarantee convergence if we add −kx to both sides of the equatio

A researcher randomly assigns 33 subjects to one of three groups. Group 1 receives technical dietary information interactively from an on-line website. Group 2 receives the same information from a nurse practitioner, while Group 3 receives the information from a video tape made by the same nurse practitioner.

The researcher looked at three different ratings of the presentation; difficulty, usefulness, and importance to determine if there is a difference in the modes of presentation. In particular, the researcher is interested in whether the interactive website is superior because that is the most cost-effective way of delivering the information.

1. Run the appropriate analysis of the data and interpret the results.

2. How could this study have been done differently? Why or why not would this approach be better?

A researcher is interested in examining whether there are differences in students’ sense of safety across schools. She selects three schools and surveys five students from each school. The tab labeled Question 3 reflects the answers from this survey—the higher the score, the safer the student feels. Is there a difference between these schools in the students’ sense of safety?

a. What is the null hypothesis?

b. What is the research hypothesis?

c. Why run an ANOVA statistical test?

d. What are the results of the hypothesis test? Interpret your findings. Can you reject the null hypothesis?

1. Calculate and choose project/s assuming that these two projects are

(1) mutually exclusive OR

(2) independent.

IRR (WACC 6%), specify range.

Let X and Y have the joint distribution shown in the table. Find the correlation coefficient. (round to 4 decimal digits)

8.

a. Which experimental technique separates proteins based on their relative physical sizes?

1) Ion-exchange chromatography                                                    4) None of the above

2) Affinity chromatography                                                                        5) More than one of the above        

3) Size-exclusion chromatography

b. One round of the sequencing technique called _________ reveals the identity of the amino acid located at the ____________ of a peptide or protein.

1) Trypsin treatment; N-terminus

2) Edman degradation; N-terminus

3) Edman degradation; C-terminus

4) Sanger’s reagent ; C-terminus                

5) Carboxypeptidase treatment; N-terminus                    

c. The following product was found after one round of Edman degradation.

The sequenced peptide must have which one of the following amino acids somewhere in its sequence?

1) D                                                                             4) Q

2) E                                                                             5) None of the above            

3) N

d. Determine the percentage of V_max that an enzyme-catalyzed reaction’s V would be at the following substrate concentration: [S] = ¼K_M. Round your percentage to 1 decimal place. Please do not enter the “%” sign as part of your answer.

e. Determine the percentage of V_max that an enzyme-catalyzed reaction’s V would be at the following substrate concentration: [S] = 20K_M. Round your percentage to 1 decimal place. Please do not enter the “%” sign as part of your answer.

f. You are trying to purify a mixture of proteins using size-exclusion chromatography. The mixture contains 5 proteins, whose lengths (number of amino acids in their sequence) are shown below:

            Protein 1: 88 residues                                               Protein 4: 120 residues

            Protein 2: 135 residues                                Protein 5: 166 residues

            Protein 3: 148 residues

Assume that each protein’s amino acid residues have an average molecular weight of 110. The pore size in the size-exclusion chromatography column’s beads has a molecular weight cutoff of 15,000, meaning that only proteins with a molecular weight that is less than 15,000 can enter the beads.

Given this information, which one option below lists all the proteins that will elute (exit from) the column quickly? Select the correct answer from the choices shown below, and place your answer on the online answer form.

1) Protein 1, Protein 2 4) Protein 3, Protein 5

2) Protein 3, Protein 4 5) None of the above

3) Protein 2, Protein 3, Protein 5

1. Starting problems

These first problems are all based on the mathematical concept of a matrix because it's a great fit for doing multi-dimensional arrays in C++ and is a very common use of this structure! Don't worry if you're a bit rusty on matrices, we explain everything below.

Definition: a matrix is a rectangular array of data. It can be square or rectangular.

Examples:

1 1 3
1 0 4

This matrix has 2 rows and 3 columns

1 0
0 1

This matrix has 2 rows and 2 columns (and is an Identity matrix, see below)

1 2
4 5
7 8
9 0

This matrix has 4 rows and 2 columns

Note that there are no empty cells, just zero cells, in these numerical examples.

1-1. Given a matrix of integers, return the sum of the elements along the main diagonal (top left bottom right)

Signature: int diagonal(int array[4][4])

(Note. This function should be placed in function-1-1.cpp and the matching main function in main-1-1.cpp)

1-2. Given a matrix of integers with 10 rows and 10 columns, write a function and program to determine if the matrix is an identity matrix or not. Return a 1 if it is an identity matrix and a 0 if not. (Definition: An identity matrix is one with 1's down the main diagonal and 0's elsewhere)

Signature: int identity(int array[10][10])

1-3 Given a matrix of integers, count the amount of times each number 0-9 appears. Print out your results on one line in the following form:

0:number of zeros;1:number of ones;2:number of twos;3:number of threes;4:number of fours;5:number of fives;6:number of sixes;7:number of sevens;8:number of eights;9:number of nines;

For example, if you are passed an identify matrix, it contains 12 zeros and 4 ones and no other numbers from 0 to 9, your output would be:

0:12;1:4;2:0;3:0;4:0;5:0;6:0;7:0;8:0;9:0;

Note the colons and semi-colons.

Signature: void count_numbers(int array[4][4])

1-4 Given a matrix, print out the scaled version of the matrix, where you multiply every element in the matrix by the same numeric value. Elements should be printed by row, with a space separating elements on a row, and a newline character separating rows.

Example:

int scale = 3 ;
int threebythree[3][3] = {{0,1,2},{3,4,5},{6,7,8}} ;
print_scaled_matrix(threebythree,scale) ;

This should produce the following output:

0 3 6
9 12 15
18 21 24

Signature: void print_scaled_matrix(int array[3][3],int scale)

1-5 Given two two-dimensional arrays, add them together and print the result as in 1-4 above. What relationship needs to be between the sizes of the two matrices?

Example:

int matrix1[3][3] = {{0,1,2},{3,4,5},{6,7,8}} ;
int matrix2[3][3] = {{0,0,0},{2,2,2},{-5,-4,8}} ;
print_summed_matrices(matrix1,matrix2) ;

This should produce the following output:

0 1 2
5 6 7
1 3 16

Signature: void print_summed_matrices(int array1[3][3],int array2[3][3])

2. Medium problems

2-1. Given a positive decimal number, write a function that transforms it into binary, and prints out the result. You may assume that the string contains at least 1 and no more than 9 decimal digits. The output should only include the binary digits followed by a new line.

Hint: You might need to convert a string to integer. Have a look at the stoi(string) in the C++11 string library. If you need to compile with C++11, include the compilation flag -std=c++11 in your compile command.

Signature: void print_as_binary(std::string decimal_number)

2-2. Given a binary number represented as an array, write a function that takes the array and its size as a parameter, and returns the integer value. You may assume that there are at least 1 and no more than 30 numbers in the array and that all the values are either 0 or 1. The array is ordered with most significant binary digit at the start (index 0) and the least significant digit at the end.

Signature: int binary_to_number(int binary_digits[], int number_of_digits)

Definition: a palindrome is a sequence that reads the same backwards as forwards. Hence, 101, 120021 and 1 are all numerical palindromes. A palindrome array would be of the form [1,2,2,1] for example. An empty array is a palindrome by definition.

2-3. Given an array of integers, write a function to calculate the sum of the elements if it is a palindrome array. If it is not a palindrome array, your function must return -2. Your function must call separate functions to check whether or not the array is a palindrome and to calculate the sum of its elements. If the length is 0 or negative each function must return -1 or false as its result.

Signature: int sum_if_a_palindrome(int integers[], int length)

Signature: bool is_a_palindrome(int integers[], int length)

Signature: int sum_elements(int integers[], int length)

2-4. Given an array of integers, write a function to determine its maximum and minimum elements and then return their sum. Your function must call separate functions to identify the maximum and minimum elements. If the length is 0 or negative each function must return -1 as its result.

Signature: int sum_min_and_max(int integers[], int length)

Signature: int max_integer(int integers[], int length)

Signature: int min_integer(int integers[], int length)

3. Tricky problems

With these problems, we are giving you a free hand at writing the signature of your functions. Follow the templates from the easier problems, and ask for help if unsure! The following two problems are set in the context of a supermarket checkout. There is only one checkout with a single line of customers each with items they are wanting to buy.

Note: The web submission system will ignore these two programs so no marks will be awarded for them even if you submit them.

3-1. Write code to capture the scenario: at the checkout, the customer who is first in the queue pays an amount equal to the value of his/her products and then leaves the supermarket. The next customer in the queue is then served. For each customer in the queue (you have initialised the queue with 10 customers), print out how much they have to pay.

3-2. Write code to capture the scenario: you have been serving customers for a while and your queue no longer has 10 customers in it. A new customer arrives at the checkout.

Which of the following is a good example of a firm that is not likely to be perfectly competitive?

19.

The demand curve faced by a competitive firm is

20.