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Chapter 4 Solutions
C++ Programming: From Problem Analysis to Program Design
- 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.)arrow_forwardGiven the following FSM M, the correct statements are: a so s s a a b 90 q1 OL(M) = {w€ {a, b}* : w contains the substring ab}. OL(M) = {w€ {a,b}* : w does not contain the substring ab}. OL(M) = {w€ {a,b}* : w does not contain the substring aab}. OL(M) = {w€ {a,b}* : w contains the substring aab}.arrow_forwardComplete the following codearrow_forward
- Programming Language :- C 7. A function is defined for a positive integer n as follows: 3n + 1, if n is odd f(n) = { n if n is even 2 We consider the repeated application of the function starting with a given integer n, as follows: f(n), f(f(n)), f(f(f(n))), It is conjectured that no matter which positive integer n you start from; this sequence eventually will reach to 1. If n = 13, the sequence will be 13, 40, 20, 10, 5, 16, 8, 4, 2, 1. Thus if you start from n = 13, you need to apply function 10 times to reach 1. Write a recursive function that takes n as an input number and returns how many times function f has to be applied repeatedly to reach 1.arrow_forwardOne metric that we can use to determine the root of a certain function via brute force technique is the location where the function's _____ changeschoices inflection value poles signarrow_forwardMATLABarrow_forward
- C programmingarrow_forwardSolve in c programming languagearrow_forwardComputer Science MIPS assembly language program using Procedure to find the grade of a student, given the marks of Final (30%), Midterm (20%), quizzes and homework (25%), and projects (25%). Given the marks of above 4 out of 100 points, we have to print the grade of a student based on the following grade slab. 1. Percentage > 90, grade is an A 2. If 80arrow_forward
- MATLABarrow_forwardCode in C++ language The area of an arbitrary triangle can be computed using the formula area = √(s(s–a)(s–b)(s–c)) where the square root is applied to the entire product and where a, b, and c are the lengths of the sides, and s is thesemiperimeter of the triangle given by the formula: s = (a + b + c)/2 Write a void function named triangle that computes the area and perimeter (as well as the semiperimeter (which will be used to compute the area)of a triangle based on the length of the sides. The function should use five parametersand may call other functions.Make your function robust. Note that not all combinations of a, b, and c produce a triangle. Your function should produce correct resultsfor legal data and reasonable results for illegal combinations. Include in your submission a driver that repeatedly reads in 3 positive numbers thatare the sides of a triangle, and each time print out the sides and the area and perimeter calculated by the triangle function. Your program…arrow_forwardL et D= { s, d, b}, E= { c, k}, G= { a, k }, U={a, b, c, d, k, s} DUE=arrow_forward
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