Gx: G(x) Gtrue boolGfalse: boolGn: intGel: t1 G, xt1e2: t2Glet x el in e2: t2Gel bool Ge2 boolGel and e2: boolGe: intGeq0 e boolGel bool Ge2: t Ge3: tGif el then e2 else e3: tIn the rule for let x = e1 in e2, what is the relationship between the types of e1 and e2?e1 and e2 must have the same type.e1 determines the type of x, and e2 can have any type.e1 determines the type of x, and the type of e2 depends on the context.e1 must be a boolean, and e2 must be an int. Gx: G(x) Gtrue boolGfalse: boolGn: intGelt1 G,x: t1e2: t2Glet x el in e2: t2Gel bool Ge2 boolGel and e2: boolGe: intGel boolGe2t Ge3: tGeq0 e boolGif el then e2 else e3: tUsing the typing rules above, determine if the following expressions are well-typed:

Typing Rules Overview:The first line in the typing rules represents how variables (x) and constants…

Answered: Gx: G(x) Gtrue bool Gfalse: bool Gn:…

Np Ms Office 365/Excel 2016 I Ntermed

1st Edition

ISBN:9781337508841

Author:Carey

Publisher:Carey

Chapter8: Working With Advanced Functions

Section8.2: Lookup Tables And The Iferror Function

Problem 1QC

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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.)
(Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.
(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.
The program in the Programming Example: Fibonacci Number does not check whether the first number entered by the user is less than or equal to the second number and whether both the numbers are non-negative. Also, the program does not check whether the user entered a valid value for the position of the desired number in the Fibonacci sequence. Rewrite that program so that it checks for these things.
(Civil eng.) Write a C++ program to calculate and display the maximum bending moment, M, of a beam that’s supported on both ends (see Figure 3.8). The formula is M=XW(LX)/L, where X is the distance from the end of the beam that a weight, W, is placed, and L is the beam’s length. You program should produce this display: The maximum bending moment is xxxx.xxxx The xxxx.xxxx denotes placing the calculated value in a field wide enough for four places to the right and left of the decimal point. For your program, assign the values1.2,1.3,and11.2toX,W,andL.
Which of the following operator cannot be overloaded. (2) a.+b.::c[]d.=e.
(Numerical) a. Write a C++ program that accepts an integer argument and determines whether the passed integer is even or odd. (Hint: Use the % operator.) b. Enter, compile, and run the program written for Exercise 8a.
(Misc. application) a. Write a program to reverse the digits of a positive integer number. For example, if the number 8735 is entered, the number displayed should be 5378. (Hint: Use a do statement and continuously strip off and display the number’s units digit. If the variable numinitially contains the number entered, the units digit is obtained as (num % 10). After a units digit is displayed, dividing the number by 10 sets up the number for the next iteration. Therefore, (873510)is5and(8735/10)is873. The do statement should continue as long as the remaining number is not 0.) b. Run the program written in Exercise 3a and verify the program by using appropriate test data.
Mark the following statements as true or false: a. To use a predefined function in a program, you need to know only the name of the function and how to use it. (1) b. A value-returning function returns only one value. (2, 3) c. Parameters allow you to use different values each time the function is called. (2, 7, 9) d. When a return statement executes in a user-defined function, the function immediately exits. (3, 4) e. A value-returning function returns only integer values. (4) f. A variable name cannot be passed to a value parameter. (3, 6) g. If a C++ function does not use parameters, parentheses around the empty parameter list are still required. (2, 3, 6) h. In C + + , the names of the corresponding formal and actual parameters must be the same. (3, 4, 6) i. A function that changes the value of a reference parameter also changes the value of the actual parameter. (7) j. Whenever the value of a reference parameter changes, the value of the actual parameter changes. (7) k. In C++, function definitions can be nested; that is, the definition of one function can be enclosed in the body of another function. (9) l. Using global variables in a program is a better programming style than using local variables, because extra variables can be avoided. (10) m. In a program, global constants are as dangerous as global variables. (10) n. The memory for a static variable remains allocated between function calls. (11)
(Data processing) Years that are evenly divisible by 400 or are evenly divisible by 4 but not by 100 are leap years. For example, because 1600 is evenly divisible by 400, 1600 was a leap year. Similarly, because 1988 is evenly divisible by 4 but not by 100, it was also a leap year. Using this information, write a C++ program that accepts the year as user input, determines whether the year is a leap year, and displays a message telling the user whether the entered year is or is not a leap year.
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)
17. Redo Programming Exercise 16 so that the user can also input the cost of producing one liter of milk and the profit on each carton of milk.

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