Matric Number:2. Letx be the first three digits of your matric number, ANDy be the last three digits of your matric number. If the first digit of y is 0, replace it with2.Ехатple:If you matric number is 2013034,Thus, x = 201 and y = 234a. Write the values of x and y based on your matric number.b. If a = x (mod 7) and b = (-1) + y (mod 7), find the integer(s) c with 10

I am considering the matric number as 2210039 Now x = 221 and y - 039 we change 0 in y as 2 so, x =…

2. Let x be the first three digits of your matric number, AND y be the last three digits of your matric number. If the first digit of y is 0, replace it with 2. Example: If you matric number is 2013034, Thus, x = 201 and y 234 a. Write the values of x and y based on your matric number. b. If a = x (mod 7) and b = (-1) • y (mod 7), find the integer(s) c with 10 < c < 20 such that c = a + b² (mod 7) c. Show all the steps to calculate LCM (x, y) using prime factorization.

2. Let x be the first three digits of your matric number, AND y be the last three digits of your matric number. If the first digit of y is 0, replace it with 2. Example: If you matric number is 2013034, Thus, x = 201 and y 234 a. Write the values of x and y based on your matric number. b. If a = x (mod 7) and b = (-1) • y (mod 7), find the integer(s) c with 10 < c < 20 such that c = a + b² (mod 7) c. Show all the steps to calculate LCM (x, y) using prime factorization.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter8: Arrays And Strings

Section: Chapter Questions

Problem 10PE

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When you borrow money to buy a house, a car, or for some other purpose, you repay the loan by making periodic payments over a certain period of time. Of course, the lending company will charge interest on the loan. Every periodic payment consists of the interest on the loan and the payment toward the principal amount. To be specific, suppose that you borrow $1,000 at an interest rate of 7.2% per year and the payments are monthly. Suppose that your monthly payment is $25. Now, the interest is 7.2% per year and the payments are monthly, so the interest rate per month is 7.2/12 = 0.6%. The first months interest on $1,000 is 1000 0.006 = 6. Because the payment is $25 and the interest for the first month is $6, the payment toward the principal amount is 25 6 = 19. This means after making the first payment, the loan amount is 1,000 19 = 981. For the second payment, the interest is calculated on $981. So the interest for the second month is 981 0.006 = 5.886, that is, approximately $5.89. This implies that the payment toward the principal is 25 5.89 = 19.11 and the remaining balance after the second payment is 981 19.11 = 961.89. This process is repeated until the loan is paid. Write a program that accepts as input the loan amount, the interest rate per year, and the monthly payment. (Enter the interest rate as a percentage. For example, if the interest rate is 7.2% per year, then enter 7.2.) The program then outputs the number of months it would take to repay the loan. (Note that if the monthly payment is less than the first months interest, then after each payment, the loan amount will increase. In this case, the program must warn the borrower that the monthly payment is too low, and with this monthly payment, the loan amount could not be repaid.)
Coral Help Primary U.S. interstate highways are numbered 1-99. Odd numbers (like the 5 or 95) go north/south, and evens (like the 10 or 90) go east/west. Auxiliary highways are numbered 100-999, and service the primary highway indicated by the rightmost two digits. Thus, the 405 services the 5, and the 290 services the 90. Given a highway number, indicate whether it is a primary or auxiliary highway. If auxiliary, indicate what primary highway it serves. Also indicate if the (primary) highway runs north/south or east/west. Ex: If the input is: 90 the output is: The 90 is primary, going east/west. Ex: If the input is: 290 the output is: The 290 is auxiliary, serving the 90, going east/west. Ex: If the input is: 0 or any number not between 1 and 999, the output is: 0 is not a valid interstate highway number.
Months Given the current month X, find out what month it will be after Y months have passed. You may not use the following keywords: if, while, for. $ python month.py 13 It's currently January, in 3 months it will be April. $ python month.py 5 20 It's currently May, in 20 months it will be January. $ python month.py 12 12 It's currently December, in 12 months it will be December.
Interest on a credit card’s unpaid balance is calculated using the average daily balance. Suppose that netBalance is the balance shown in the bill, payment is the payment made, d1 is the number of days in the billing cycle, and d2 is the number of days payment is made before billing cycle. Then, the average daily balance is: averageDailyBalance = (netBalance * d1 – payment * d2) / d1 If the interest rate per month is, say, 0.0152, then the interest on the unpaid balance is: interest = averageDailyBalance * 0.0152 Instructions Write a program that accepts as input netBalance, d1, payment, d2, and interest rate per month (interestRate). The program outputs the interest. Format your output to two decimal places. Input: 100 30 50 7 9.7 Output: 856.83 Test case 2: Input: 255.76 31 55 3 12.3 output: 3080.38
Interest on a credit card’s unpaid balance is calculated using the average daily balance. Suppose that netBalance is the balance shown in the bill, payment is the payment made, d1 is the number of days in the billing cycle, and d2 is the number of days payment is made before billing cycle. Then, the average daily balance is: averageDailyBalance = (netBalance * d1 – payment * d2) / d1 If the interest rate per month is, say, 0.0152, then the interest on the unpaid balance is: interest = averageDailyBalance * 0.0152 Write a program that accepts as input netBalance, d1, payment, d2, and interest rate per month (interestRate). The program outputs the interest. Format your output to two decimal places.
Credit Card Number Check. The last digit of a credit card number is the check digit, which protects against transcription errors such as an error in a single digit or switching two digits. The following method is used to verify actual credit card numbers but, for simplicity, we will describe it for numbers with 8 digits instead of 16:• Starting from the rightmost digit, form the sum of every other digit. For example, if thecredit card number is 4358 9795, then you form the sum 5 + 7 + 8 + 3 = 23.• Double each of the digits that were not included in the preceding step. Add all digits ofthe resulting numbers. For example, with the number given above, doubling the digits,starting with the next-to-last one, yields 18 18 10 8. Adding all digits in these valuesyields 1 + 8 + 1 + 8 + 1 + 0 + 8 = 27.• Add the sums of the two preceding steps. If the last digit of the result is 0, the number isvalid. In our case, 23 + 27 = 50, so the number is valid.Write a program that implements this…
Credit Card Number Check. The last digit of a credit card number is the check digit, which protects against transcription errors such as an error in a single digit or switching two digits. The following method is used to verify actual credit card numbers but, for simplicity, we will describe it for numbers with 8 digits instead of 16:• Starting from the rightmost digit, form the sum of every other digit. For example, if thecredit card number is 4358 9795, then you form the sum 5 + 7 + 8 + 3 = 23.• Double each of the digits that were not included in the preceding step. Add all digits ofthe resulting numbers. For example, with the number given above, doubling the digits,starting with the next-to-last one, yields 18 18 10 8. Adding all digits in these valuesyields 1 + 8 + 1 + 8 + 1 + 0 + 8 = 27.• Add the sums of the two preceding steps. If the last digit of the result is 0, the number isvalid. In our case, 23 + 27 = 50, so the number is valid.Write a program that implements this…
Primary U.S. interstate highways are numbered 1-99. Odd numbers (like the 5 or 95) go north/south, and evens (like the 10 or 90) go east/west. Auxiliary highways are numbered 100-999 and service the primary highway indicated by the rightmost two digits. Thus, the 405 services the 5, and the 290 services the 90. Given a highway number, indicate whether it is a primary or auxiliary highway. If auxiliary, indicate what primary highway it serves. Also, indicate if the (primary) highway runs north/south or east/west. Ex: If the input is: 90 The output is: The 90 is primary, going east/west. Ex: If the input is: 290 The output is: The 290 is auxiliary, serving the 90, going east/west. Ex: If the input is: 0 Or any number not between 1 and 999, the output is: 0 is not a valid interstate highway number. import java.util.Scanner; public class LabProgram { public static void main(String[] args) { Scanner scnr = new Scanner(System.in); int highwayNumber; int…
Assume x is 10, y is 7, and z; x and y are int, z is bool. What is assigned to z? z = x < y
Summary Interest on a credit card's unpaid balance is calculated using the average daily balance. Suppose that netBalance is the balance shown in the bill, payment is the payment made, d1 is the number of days in the billing cycle, and d2 is the number of days payment is made before billing cycle. Then, the average daily balance is: averageDailyBalance = (netBalance * d1 payme If the interest rate per month is, say, 0.0152, then the interest on the unpaid balance is: interest averageDailyBalance * 0.0152 Instructions Write a program that accepts as input netBalance, d1, payment, d2, and interest rate per month ( interestRate).
Discrete Mathematics: Assignment details: Replace all the 0 (Zero) digits in your ID by 4. Example: If your ID is 38104680, it becomes 38144684 Take the first 6 digits and substitute them in this expression (( A + B) / C) * ((D-E)/F)-2) according to the following table; Letter Replace by Digit Example Digit A 1st 3 B 2nd 8 C 3rd 1 D 4th 4 E 5th 4 F 6th 6 After substitution your expression will be similar to this (( 3 + 8) / 1) * ((4-4)/6)-2). Draw a rooted tree that represents your expression. What is the prefix form of this expression. 3.What is the value of the prefix expression obtained in step 2 above?
Interest on a credit card’s unpaid balance is calculated using the average daily balance. Suppose that netBalanceis the balance shown in the bill, paymentis the payment made, d1is the number of days in the billing cycle, and d2is the number of days payment is made before the billing cycle. Then the average daily balance is: averageDailyBalance = (netBalance * d1 –payment * d2) / d1 if the interest rate per month is say, 0.0152, then the interest on the unpaid balanceis: interest = averageDailyBalance * 0.0152 Design a program that accepts as input netBalance, payment, d1, d2, and interest rate per month. The program outputs the interest charged. Format your output to two decimal places. C++