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- 5. (Algebra: solve 2 X 2 linear equations) You can use Cramer's rule to solve the following 2 X 2 system of linear equation: ax + by = e cx + dy = f ● x = ed - bf bc ad y = af - ec ad bc - Write a program that prompts the user to enter a, b, c, d, e, and f and display the result. If ad- bc is 0, report that The equation has no solution. Enter a, b, c, d, e, f: 9.0, 4.0, 3.0, -5.0, -6.0, -21.0 Enter x is -2.0 and y is 3.0 Enter a, b, c, d, e, f: 1.0, 2.0, 2.0, 4.0, 4.0, 5.0 Enter The equation has no solutionarrow_forwardQ2) Write a program to read a group of numbers between 1 to 100, then find the sum of the even numbers that are divisible by 4 and the sum of the odd numbers that are divisible by 3.arrow_forwardNet Salary Calculator (Toy Problem)Write a program whose major task is to calculate an individual’s Net Salary by getting the inputs of basic salary and benefits. Calculate the payee (i.e. Tax), NHIFDeductions, NSSFDeductions, gross salary, and net salary.arrow_forward
- Rewrite the following code segment using conditional operators (?/:)arrow_forwardQ2) (Perfect Numbers) An integer number is said to be a perfect number if its factors, including 1 (but not the number itself), sum to the number. For example, 6 is a perfect number because 6 = 1 + 2 + 3. Write a function perfect that determines if parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1 and 1000. Print the factors of each perfect number to confirm that the number is indeed perfect. Challenge the power of your computer by testing numbers much larger than 1000.arrow_forwardProblem 2: Multiple stages There are only two rest days in the Tour de France. You will now write a program to calculate the remaining distance before the rest day after each stage. Riders will rest after they finish the fifth stage.Your program will read five distances AS INTEGERS, one for each stage in order. After, you will read the total time of all five days. You will then print how many kilometres are left after each stage and the rider's average speed (in km/h) after all inputed stages, according to the example below.InputYou will read from the use the following (in order):• 5 distances one of each stage• The rider's total time across all stagesOutputEnd of first stage, {distance}km left until rest dayEnd of second stage, {distance}km left until rest dayEnd of third stage, {distance}km left until rest dayEnd of fourth stage, {distance}km left until rest day--REST--Average speed across the five days: {speed} km/hExample:Input Output…arrow_forward
- Q5: Write in Python program: After calculating the ranking score according to the ALES (Academic Postgraduate Exam) score, foreign language score and graduation grade point average of the candidate applying for graduate education, write the program in python, which will be able to enter the ranking on the screen. (All points are given over a hundred.) Ranking Score = 50% of ALES + 25% of foreign language score + 25% of graduation grade point average It is calculated by the formula. If the ranking score is 60 and above, it can enter the ranking, otherwise it cannot. Example: Enter ALES score: 80.91 Enter the foreign language score: 80.50 Graduation GPA: 75.56 ------------------------- Your ranking score: 79.47arrow_forwardQ1) Programming in C Research our planet population growing issues online. Get approximations for the current population and its growing rate (the percentage by which it’s likely to increase this year). Write a program in C language that calculates a)World population growth each year for the next 25 years, using the supposition that the current growth rate will remain unchanged. b)Print the results in a table. The first column should display the year from year 1 to yearThe second column should display the anticipated world population at the end of that year.The third column should display the numerical increase in the world population that would occurthat year.arrow_forward(Financial: credit card number validation) Credit card numbers follow certain pat- terns. A credit card number must have between 13 and 16 digits. It must start with: 4 for Visa cards 5 for Master cards 37 for American Express cards 6 for Discover cards In 1954, Hans Luhn of IBM proposed an algorithm for validating credit card numbers. The algorithm is useful to determine whether a card number is entered correctly or whether a credit card is scanned correctly by a scanner. Credit card numbers are generated following this validity check, commonly known as the Luhn check or the Mod 10 check, which can be described as follows (for illustra- tion, consider the card number 4388576018402626): 1. Double every second digit from right to left. If doubling of a digit results in a two-digit number, add up the two digits to get a single-digit number. 4388576018402626 → 2 * 2 = 4 → 2 * 2 = 4 → 4 * 2 = 8 → 1 * 2 = 2 6 * 2 = 12 (1+ 2 = 3) → 5 * 2 = 10 (1+ 0 = 1) → 8 * 2 = 16 (1 + 6 = 7) → 4 * 2 = 8arrow_forward
- Complete the following program:arrow_forwardUsing the print function, print "Happy Earth Day".arrow_forward11: series.cpp) Write a program that will add the terms of an infinite geometric series. The program should read the first term (a) and the common ratio (r) for the series. It should then compute the sum in two ways: by formula ( s= ), and by adding the individual terms until the answer agrees with the formula to 7 significant digits. Then print the formula answer, the answer found by adding thearrow_forward
- C++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning