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(Financial application: calculate interest) If you know the balance and the annual percentage interest rate, you can compute the interest on the next monthly payment using the following formula:
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- (Algebra: solve 2 x 2 linear equations) You can use Cramer's rule to solve the following 2 X 2 system of linear equation: ed – bf ax + by = e cx + dy = f af - eс y ad – bc %3D ad – bc Write a program that prompts the user to enter a, b, c, d, e, and f, and displays the result. If ad – bc is 0, report that "The equation has no solution."arrow_forward(Find the number of years) Write a program that prompts the user to enter the minutes (e.g., 1 billion), and displays the number of years and days for the minutes. For simplicity, assume a year has 365 days. Sample Run Enter the number of minutes: 1000000000 1000000000 minutes is approximately 1902 years and 214 daysarrow_forward(Find the two highest scores)Write a program that prompts the user to enter the number of students and each student’s name and score, and displays the name and score of the student with the highest score and the student with the second-highest score.Sample RunEnter the number of students: 5Enter a student name: SmithEnter a student score: 60Enter a student name: JonesEnter a student score: 96Enter a student name: PetersonEnter a student score: 85Enter a student name: GreenlawEnter a student score: 98Enter a student name: ZhangEnter a student score: 95Top two students:Greenlaw's score is 98.0Jones's score is 96.0arrow_forward
- (Display Magic Numbers) Display the first N magic numbers, where N is a positive number that the user provides as input. Here, a magic number is a number whose sum of its digits eventually leads to 1. For example, 1234 is a magic number because 1 + 2 + 3 + 4 = 10 and 1 + 0 = 1, while 1235 is not (1 + 2 + 3 + 5 = 11 and 1 + 1 = 2). Write a program that prints out the first N magic numbers, seven on each line. Here is the sample output: You are required to use the following function prototype: bool isMagic(int value); // Returns true if value is a magic number The outline of this function will be as follows: Step 1: Calculate the sum of digits of value Step 2: Repeat Step 1 until we get a single digit Step 3: If the resulting sum is equal to 1 then it is a magic number, otherwise notarrow_forward(Display Magic Numbers) Display the first N magic numbers, where N is a positive number that the user provides as input. Here, a magic number is a number whose sum of its digits eventually leads to 1. For example, 1234 is a magic number because 1+2+3+4 = 10 and 1 +0 = 1, while 1235 is not (1 +2+ 3 +5 = 11 and 1 +1 = 2). Write a program that prints out the first N magic numbers, seven on each line. Here is the sample output: Enter a positive integer number: 30 1 10 19 28 37 46 55 64 73 82 91 100 109 118 127 136 145 154 163 172 181 190 199 208 217 226 235 244 253 262 You are required to use the following function prototype: bool isMagic(int value); // Returns true if value is a magic number The outline of this function will be as follows: Step 1: Calculate the sum of digits of value Step 2: Repeat Step 1 until we get a single digit Step 3: If the resulting sum is equal to 1 then it is a magic number, otherwise notarrow_forward(Calculating the Product of Odd Integers) Write an application that calculates the product of the odd integers from 1 to 15.arrow_forward
- (Game: scissor, rock, paper) Write a program that plays the popular scissor–rock–paper game. Rules: A scissor can cut a paper, a rock can knock a scissor, a paper can wrap a rock. The program should randomly generates a number 0, 1, or 2 representing scissor, rock, and paper. The program should prompt the user to enter a number 0, 1, or 2 and displays a message indicating whether the user or the computer WINs, LOSEs, or DRAWs.arrow_forwardQ5: (Count positive and negative numbers and compute the average of numbers) Write a program that reads an unspecified number of integers, determines how many positive and negative values have been read, and computes the total and average of the input values (not counting zeros). Your program ends with the input 0. Display the average as a floating-point number. Here is a sample run: Enter an integer, the input ends if it is 0: 1 2 -1 3 0 The number of positives is 3 The number of negatives is 1 The total is 5.0 The average is 1.25arrow_forward6. (Geometry: area of a pentagon) The area of a pentagon can be computed using the following formula (s is the length of a side): Area 5x s² 4 X tan TT 5 Write a program that prompts the user to enter the side of a pentagon and displays the area. Here is a sample run: Enter the side: 5.5 Enter The area of the pentagon is 53.04444136781625arrow_forward
- Financial application: compute future apartment rent) Suppose that the rent for an apartment is $1000 thisyear and increases 3% every year. Write a program that computes the rent in five years and the total rent forone year starting five years from now.arrow_forwardAlert dont submit AI generated answer. (Central city) Given a set of cities, the central city is the city that has the shortest total distance to all other cities. Write a program that prompts the user to enter the number of the cities and the locations of the cities (coordinates), and finds the central city and its total distance to all other cities. Sample Run Enter the number of cities: 5 Enter the coordinates of the cities: 2.5 5 5.1 3 1 9 5.4 54 5.5 2.1 The central city is at (2.5, 5.0) The total distance to all other cities is 60.81 Class Name: Exercise08_21arrow_forwardDraw flowchart that reads in three numbers and writes them all in sorted order. (Make it readable please)arrow_forward
- C++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning