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Consider the following Turing Machine (TM). Does the TM halt if it begins on the empty tape? If it halts, after how many steps? Does the TM halt if it begins on a tape that contains a single letter A followed by blanks? Justify your answer.
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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.)What is the opposite of greater than?(Conversion) Write a C++ program that converts gallons to liters. The program should display gallons from 10 to 20 in 1-gallon increments and the corresponding liter equivalents. Use the relationship that 1gallon=3.785liters.
- (Numerical) Write an assignment statement to calculate the nth term in an arithmetic sequence. This is the formula for calculating the value, v, of the nth term: v=a+(n1)d a is the first number in the sequence. d is the difference between any two numbers in the sequence.A(n) ____________ is one instance or variable of a class.(Conversion) Write a C++ program to convert kilometers/hr to miles/hr. The program should produce a table of 10 conversions, starting at 60 km/hr and incremented by 5 km/hr. The display should have appropriate headings and list each km/hr and its equivalent miles/hr value. Use the relationship that 1 kilometer=0.6241miles.
- 1. Mark the following statements as true or false. a. An identifier must start with a letter and can be any sequence of characters. (1) b. In C++, there is no difference between a reserved word and a predefined identifier. (1) c. A C++ identifier cannot start with a digit. (1) d. The collating sequence of a character is its preset number in the character data set. (2) e. Only one of the operands of the modulus operator needs to be of type int. (3) f. If ; and ;, then after the statement ; the value of b is erased. (6) g. If the input is 7 and x is a variable of type int, then the statement ; assigns the value 7 to x. (6) h. In an output statement, the newline character may be a part of the string. (10) i. In C++, all variables must be initialized when they are declared. (7) j. In a mixed expression, all the operands are converted to floating-point numbers. (4) k. Suppose . After the statement ; executes, y is 5 and x is 6. (9) i. Suppose . After the statement ; executes, the value of a is still 5 because the value of the expression is not saved in another variable. (9)Mark the following statements as true or false. All members of a struct must be of different types. (1) A struct is a definition, not a declaration. (1) A struct variable must be declared after the struct definition. (1) A struct member is accessed by using the operator :. (2) The only allowable operations on a struct are assignment and member selection. (2) Because a struct has a finite number of components, relational operations are allowed on a struct. (2) Some aggregate input/output operations are allowed on a struct variable. (2) A struct variable can be passed as a parameter either by value or by reference. (4) A function cannot return a value of the type struct. (4) An array can be a member of a struct. (6, 7) A member of a struct can be another struct. (8)Indicate whether each of the following C# programming language identifiers is legal or illegal. If it is legal, indicate whether it is a conventional identifier for a class. electricBill ElectricBill Electric bill Static void #ssn Ay56we Theater_Tickets 212AreaCode heightInCentimeters Zip23891 Void
- The technique of packaging an objects attributes into a cohesive unit that can be used as an undivided entity is ____________. a. inheritance b. encapsulation c. polymorphism d. interfacingSome of the characteristics of a book are the title, author(s), publisher, ISBN, price, and year of publication. Design a class bookType that defines the book as an ADT. Each object of the class bookType can hold the following information about a book: title, up to four authors, publisher, ISBN, price, and number of copies in stock. To keep track of the number of authors, add another member variable. Include the member functions to perform the various operations on objects of type bookType. For example, the usual operations that can be performed on the title are to show the title, set the title, and check whether a title is the same as the actual title of the book. Similarly, the typical operations that can be performed on the number of copies in stock are to show the number of copies in stock, set the number of copies in stock, update the number of copies in stock, and return the number of copies in stock. Add similar operations for the publisher, ISBN, book price, and authors. Add the appropriate constructors and a destructor (if one is needed). Write the definitions of the member functions of the class bookType. Write a program that uses the class bookType and tests various operations on the objects of the class bookType. Declare an array of 100 components of type bookType. Some of the operations that you should perform are to search for a book by its title, search by ISBN, and update the number of copies of a book.(Data processing) Your professor has asked you to write a C++ program that determines grades at the end of the semester. For each student, identified by an integer number between 1 and 60, four exam grades must be kept, and two final grade averages must be computed. The first grade average is simply the average of all four grades. The second grade average is computed by weighting the four grades as follows: The first grade gets a weight of 0.2, the second grade gets a weight of 0.3, the third grade gets a weight of 0.3, and the fourth grade gets a weight of 0.2. That is, the final grade is computed as follows: 0.2grade1+0.3grade2+0.3grade3+0.2grade4 Using this information, construct a 60-by-7 two-dimensional array, in which the first column is used for the student number, the next four columns for the grades, and the last two columns for the computed final grades. The program’s output should be a display of the data in the completed array. For testing purposes, the professor has provided the following data: