Question 6 Please answer them correctly Given:(1) If n is an even number, then 5n + 2 is always an even number.(2) If n is an integer larger than 1, then 2^n - 1 is always a prime number.Select one of the following choices:a. (1) is True and (2) is False.○ b. (1) and (2) are False.○ c. (1) is False and (2) is True.○ d. (1) and (2) are True.

(1) The multiplication of any integer by an even number will always result in an even product. Given…

Answered: Given: (1) If n is an even number, then…

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

See similar textbooks

Similar questions

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.)
Question: 1A perfect number is an integer that is the sum of its positive proper divisors (all divisors except itself). For example, 6 is a perfect number. The divisors of 6 except itself are 1,2 and 3. The sum of the proper divisors of 6 is 6. Thus 6 is a perfect number. You have to take integers as input and continue taking input until the word “STOP” is given as input. After taking the inputs you have to classify the integers as Perfect and Imperfect and store it in a dictionary(Please see the output for better understanding).[Note: You CANNOT use any built in functions EXCEPT input(),range(),print()]Sample Input :61082528100496530STOPSample Output:(No need to follow the output format. Just print the resultant dictionary.){Perfect: [6,28,496],Imperfect: [10,8,25,100,530]}
The user must be able to enter the information for a number of bookings from the keyboard. Ask whether a booking must be made (Y or N). If a booking must be made, a random 3 digit flight number must be generated. The user must be asked to enter the type of seat, the price per seat and the number of seats to book. Example of input:
Exercise III: Catalan numbers For n e N, denote by c, to be the number of ways to form a "mountain range" with n upstrokes (U) and n downstrokes (D) that all stay above a horizontal line. For instance: for n = 1, only UD is allowed, so c = 1; • for n = 2, only UUDD and UDUD are allowed, so c2 = 2. 1. Check that c3 = 5 by writing down or drawing all possible options. 2. Consider the power series +00 g(x) = 2 n=0 (by definition co = 1) called the generating function of the sequence (en). Justify that cn < 4" for each n, and deduce that the radius of convergence of g is at least 1/4. 3. It can be show that for r E (-1/4, 1/4), g(x) = 1+ xg(r)? and therefore 1- VI 4.x g(x) = 2.x Use this formula and the known power series of V1+ x to write the first terms of the power series expansion of g, in the form g(x) = co + c1x + c2x2 + C3x + c4x* + ·.. Show how you obtain a few terms, but you do not need to show all computations and you can use a calculator for fractions. Check that you recover co,…
Scenario As you surely know, due to some astronomical reasons, years may be leap or common. The former are 366 days long, while the latter are 365 days long. Since the introduction of the Gregorian calendar (in 1582), the following rule is used to determine the kind of year: if the year number isn't divisible by four, it's a common year, otherwise, if the year number isn't divisible by 100, it's a leap year. otherwise, if the year number isn't divisible by 400, it's a common year. otherwise, it's a leap year. none of the above year int(input("enter the year")) if (year%4 1-0) and (year%400 -0) or (year % 1000): print (year is common year") else: print(year, is leap year") year= int(input ("enter the year")) if (years !-0) or (year480 1-0) and (year % 1001-0): print(year is common year") else: print(year, "is leap year") D year= int(input("enter the year"))
4- Write a program that reads the average of 30 students and find the number of pass students , the number of fail students then print the results. 5- Write a program that reads 20 numbers then find the number of negative and positive numbers and the number of numbers equal to zero and print the results. 6- Write a program to read three numbers A,B,C then find whether A,B,C can form the sides of a triangle, if yes compute the parameter of the triangle , if no print the massage ( not a triangle), then determine whether A,B,C form the side of an (a)) equilateral triangle ,b) isosceles triangie ,c)) right angle triangle Hint: ( A,B,C can form a triangle if each side is less than the sum of the other two sides)
Java function to Find whether a given number is a power of 4 or not Example : powerOfFourOrNot(2) -> false powerOfFourOrNot(16) -> true
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.
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++
Brute force equation solver this is python program. Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y = 38 and 3x - 5y = -1 have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10. Ex: If the input is: 8 7 38 3 -5 -1 Then the output is: 3 2 Use this brute force approach: For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish. Ex: If no solution is found, output: No solution You can assume the two equations have no more than one solution. Note: Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force can be handy. ''' Read in first equation, ax + by = c '''a = int(input())b = int(input())c = int(input()) ''' Read in…
Given a number n, identify and print which in the given set of numbers are factors of n. Should there be no factors listed in the set of numbers, print "I'm alone". For example, given the number 36 and the set of numbers 2, 3, 5, 7, 12. Only print the numbers which are factors of 36, which are 2, 3, 12. Input The first line contains the number n; The second line contains how many numbers there are in the set of numbers; The third line contains the set of numbers. INPUT: 36 5 2·3·5·7·12 Output The set of numbers that are factors of n separated by a new line in order of appearance. If there are none, print "I'm alone" OUTPUT: 2 3 12

SEE MORE QUESTIONS

Recommended textbooks for you

C++ Programming: From Problem Analysis to Program…

Computer Science

ISBN:

9781337102087

Author:

D. S. Malik

Publisher:

Cengage Learning