Payment = months Principal [rate ((1 + rate)mo [(rate + 1)months – 1] - For the formula to compute monthly payment, see Listing 2.9, ComputeLoan.java. (Financial application: loan amortization schedule) The monthly payment for a given loan pays the principal and the interest. The monthly interest is computed by multiplying the monthly interest rate and the balance (the remaining princi- pal). The principal paid for the month is therefore the monthly payment m the monthly interest. Write a program that lets the user enter the loan amount. minus
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- Count consecutive summers def count_consecutive_summers(n): Like a majestic wild horse waiting for someone to come and tame it, positive integers can be broken down as sums of consecutive positive integers in various ways. For example, the integer 42 often used as placeholder in this kind of discussions can be broken down into such a sum in four different ways: (a) 3 + 4 + 5 + 6 + 7 + 8 + 9, (b) 9 + 10 + 11 + 12, (c) 13 + 14 + 15 and (d) 42. As the last solution (d) shows, any positive integer can always be trivially expressed as a singleton sum that consists of that integer alone. Given a positive integer n, determine how many different ways it can be expressed as a sum of consecutive positive integers, and return that count. The count of how many different ways a positive integer n can be represented as a sum of consecutive integers is also called its politeness, and can be alternatively computed by counting how many odd divisors that number has. However, note that the linked…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.)Example: Enter an integer = 75 Smallest divisor is = 3
- def winning_card(cards, trump=None): Playing cards are again represented as tuples of (rank,suit) as in the cardproblems.pylecture example program. In trick taking games such as whist or bridge, four players each play one card from their hand to the trick, committing to their play in clockwise order starting from the player who plays first into the trick. The winner of the trick is determined by the following rules:1. If one or more cards of the trump suit have been played to the trick, the trick is won by the highest ranking trump card, regardless of the other cards played.2. If no trump cards have been played to the trick, the trick is won by the highest card of the suit of the first card played to the trick. Cards of any other suits, regardless of their rank, are powerless to win that trick.3. Ace is the highest card in each suit.Note that the order in which the cards are played to the trick greatly affects the outcome of that trick, since the first card played in the trick…[Fish Tank] You play with a clown fish that has an initial size so. The fish can eat other fish in a tank organized in m columns and n rows. The fish at column i and row j has a positive size si,j. When your fish eats another fish, it grows by that amount. For example, if your clown fish has a size of 10 and eats a fish of size 5, it becomes of size 15. You cannot eat a fish that is bigger than your size. The game starts by eating any fish in the first (left-most) column that is not bigger than yours. After that, you advance one column at a time by moving right. You have only three allowed moves. You either stay at the same row, move one row higher or one row lower. You will always move to the right. Thus, you will make exactly m moves to advance from left to right. Your goal is to exit the fish tank from the right with the biggest possible size. The figure below shows an example with the best answer highlighted. In this case, the final fish size is 71 (10+8+7+24+22). You are required…Python Answer Required: A Rajesh teaches a cooking class. The course is attended by NN students, numbered 11 to NN. The cook must participate in the presence before each class, i.e. call out the names of the students one by one and indicate which students are present. Each student has a first and last name. To save time, Rajesh only wants to call up students' first names. However, if there are multiple students with the same first name, the Rajesh must call out the full names (first and last names) of all those students. For any student who does not share a first name with any other student, the cook can still only call that student's first name. Help the Rajesh decide for each student whether to call that student's full name or just their first name. Input 1 1 hasan jaddouh Output hasan
- PYTHON QUESTION : The Syracuse sequence of an integer N is the sequence of integers starting with the term N, where each following term is half of the preceding term if it is even, and one plus three times the preceding term if it is odd. The sequence ends when it reaches the integer 1. The maximum of the Syracuse sequence of an integer N is the highest number reached by this sequence. This maximum can sometimes be very high compared to the starting integer N. What is the maximum of the Syracuse sequence of 3428767? To answer this question it is useful to modify the code given in demonstration which calculates the Syracuse sequence. The code given in the demo : n = 27 print(n) while n != 1: if n%2 == 0: n = n // 2 # where n //= 2 or n >>= 1 else: n = 1 + 3*n print(n)Common Time Zones Function Name: commonTimeZones() Parameters: code1( str ), code2( str) Returns: list of common time zones ( list ) Description: You and your friend live in different countries, but you figure there's a chance that both of you might be in the same time zone. Thus, you want to find out the list of possible time zones that you and your friend could both be in. Given two country codes, write a function that returns a list of the time zones the two countries have in common. Be sure not to include any duplicate time zones. If the two country codes do not have any common time zones, return the string 'No Common Time Zones' instead. Note: You can assume that the codes will always be valid. example test cases: >>> commonTimeZones('can', 'usa') [UTC-08:00', 'UTC-07:00', 'UTC-06:00', 'UTC-05:00', 'UTC-04:00] >>> commonTimeZones('rus', 'chn') [UTC+08:00] For this assignment, use the REST countries API (https://restcountries.com/#api-endpoints-v2). For all of your requests, make…Common Time Zones Function Name: commonTimeZones() Parameters: code1( str ) , code2( str ) Returns: list of common time zones ( list ) Description: You and your friend live in different countries, but you figure there's a chance that both of you might be in the same time zone. Thus, you want to find out the list of possible time zones that you and your friend could both be in. Given two country codes, write a function that returns a list of the time zones the two countries have in common. Be sure not to include any duplicate time zones. If the two country codes do not have any common time zones, return the string 'No Common Time Zones' instead. Note: You can assume that the codes will always be valid. example test cases: >>> commonTimeZones('can', 'usa') ['UTC-08:00', 'UTC-07:00', 'UTC-06:00', 'UTC-05:00', 'UTC-04:00'] >>> commonTimeZones('rus', 'chn') ['UTC+08:00'] For this assignment, use the REST countries API…
- Write VBA CODE FOR THE FOLLOWING PROBLEM Problem: The Worksheet named Grades contains a place for students to record the grades they have received in their classes. Students put the number of each letter grade received in the B column. (For example, the worksheet currently shows that the student has taken 9 classes and made five As, one B, one C, one D, and one F as grades. You need to write a program that reads the grades from the worksheet and uses a function to calculate the student’s GPA. For this problem you can assume that all classes are worth the same number of credit hours. The function should send back the GPA to the calling procedure. The procedure will then put up a message box that gives the student their GPA and a message about their GPA, all in one message box. The message should be “You qualify for an internship” if the student has a GPA of at least 3.0. It should be “You’re in the danger zone” if the GPA is between 2.0 and 3.0. And it should be “You are on…C Programming Language (Code With C Programming Language) Problem Title : Visible Trees There is a legend about a magical park with N × N trees. The trees are positioned in a square grid with N rows (numbered from 1 to N from north to south) and N columns (numbered from 1 to N from west to east). The height (in metres) of each tree is an integer between 1 and N × N, inclusive. Magically, the height of all trees is unique. Bunga is standing on the northmost point of the park and wants to count the number of visible trees for each Column. Similarly, Lestari is standing on the westmost point of the park and wants to count the number of visible trees for each Row. A tree X is visible if all other trees in front of the tree X are shorter than the tree X. For example, let N = 3 and the height (in metres) of the trees are as follows6 1 87 5 32 9 4 On the first column, Bunga can see two trees, as the tree on the third row is obstructed by the other trees. On the second column, Bunga can see…Sum of two squares def sum_of_two_squares(n): Some positive integers can be expressed as a sum of two squares of some positive integers greater than zero. For example, 74 = 49 + 25 = 72 + 52. This function should find and return a tuple of two positive integers whose squares together add up to n, or return None if the parameter n cannot be broken into a sum of two squares. To facilitate the automated testing, the returned tuple must present the larger of its two numbers first. Furthermore, if some integer can be broken down to a sum of squares in several ways, return the breakdown that maximizes the larger number. For example, the number 85 allows two such representations 72 + 62 and 92 + 22 , of which this function must return (9, 2). The technique of two approaching indices that start from the beginning and end of a sequence, respectively, and approach each other until they meet somewhere, used in the function two_summers in one of our class examples, is directly applicable to this…