QUESTION#6: Nested Loops Write a C++ program to compute sinx for given x. The user should supply x and a positive integer n. We compute the sine of x using the series and the computation should use all terms in the series up through the term involving x sin x =x - x'/3! + x³/5! - x'/7! + x'/9! . Output: Enter the value of x: 1 Enter the value of n: 10 Sin 1= 0.841471
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- C++ Coding - Loops Party shop sells birthday gift bags in two ways. Customers canpurchase a set of 12 bags for $25.6 or an individual bag for $1.64.Write a complete program that asks the user input for the number ofgift bags need to be purchased (an integer) and outputs the total priceof the purchase. For example, if the customer buys 25 gift bags, the customer wouldbe charged for 1 set of (12 bags) plus another 13 individual bags.The subtotal would be 1(25.6) + 13(1.64) = $46.92 Use a constant variable to set a fixed tax rate of 8.875. Display correct dollar values (2 decimal places, use cout precision)Loops, C++ Write a program whose input is two integers, and whose output is the first integer and subsequent increments of 5 as long as the value is less than or equal to the second integer. Ex: If the input is: -15 10 the output is: -15 -10 -5 0 5 10 Ex: If the second integer is less than the first as in: 20 5 the output is: Second integer can't be less than the first. For coding simplicity, output a space after every integer, including the last.program used is C++ (Apartment problem) A real estate office handles, say, 50 apartment units. When the rent is, say, $600 per month, all the units are occupied. However, for each, say, $40 increase in rent, one unit becomes vacant. Moreover, each occupied unit requires an average of $27 per month for maintenance. How many units should be rented to maximize the profit? Instructions Write a program that prompts the user to enter: The total number of units. The rent to occupy all the units. Amount to maintain a rented unit. The increase in rent that results in a vacant unit. The program then outputs: The number of units to be rented to maximize the profit The maximum profit Since your program handles currency, make sure to use a data type that can store decimals with a decimal precision of 2.
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- In C++ (Algebra: solve 2 × 2 linear equations) You can use Cramer’s rule to solve the following 2 × 2 system of linear equation: ax + by = ecx + dy = fx = (ed - bf) / (ad - bc)y = (af - ec) / (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”. Sample Run 1 Enter a, b, c, d, e, f: 9.0 4.0 3.0 -5.0 -6.0 -21.0 x is -2 and y is 3 Sample Run 2 Enter a, b, c, d, e, f: 1.0 2.0 2.0 4.0 4.0 5.0 The equation has no solutionC++ Programming Exercise: The population of town A is less than the population of town B. However, the population of town A is growing faster than the population of town B. Write a program that prompts the user to enter the population and growth rate of each town. The program outputs after how many years the population of town A will be greater than or equal to the population of town B and the populations of both the towns at that time. (A sample input is: Population of town A = 5,000, growth rate of town A = 4%, population of town B = 8,000, and growth rate of town B = 2%.)Perform the following using DEV-C++ Show your solution Write a program that determines a student’s grade. It reads four test scores (between0 and 100) and calculates the grade based on the following rules: If the average score is 90 or more, the grade is ‘A’. If the average score is between 80 and 90, the grade is ‘B’. If the average score is between 70 and 80, the grade is ‘C’. If the average score is between 60 and 70, the grade is ‘D’. If the average score is less than 60, the grade is ‘F’.