If x=9 and y=6, then not(x%y!=1) and not(x//y<1) will be

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?

Given 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}.

Computer Science Question LabThere is only one list of N ingredients in the menu. Every ingredient has its beauty value that does not depend on its taste, but on the way it looks, which is expressed as a positive integer. To order a dish, the customer asks Ramsay to use all the ingredients from L to R (L is strictly less than R). Ramsay knows that the dish will be tasty and not only beautiful if the sum of its ingredients' beauty values is divisible by K. Ramsay does not want to use all the ingredients, so he always excludes one of them. Which one? - The least beautiful one! (in other words - which has the minimal beauty value). Now he wonders - how many segments (L,R) are there such that the sum of their beauty values will be divisible by K after excluding the least beautiful ingredient. Your assignment is to develop a python code that prints the answer for the problem. Sample test case are given below:Input:3 51 2 3Output:1

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,…

In C++ language write the program to read the value of integer n and display the number of ways to reach the top.

Using Java programming language write a program to manage a hotel with 24 rooms;10 rooms are Executive, with price Gh ₵ 2500.00 per night,7 rooms are Chalets, with amounts Gh ₵ 1500.00 per night7 rooms are Ordinary, with amount Gh ₵ 500.00 per night.

In C++ language write the program to read the number of stairs N and print the number of ways to reach the top.

in c language please