Write a program that computes the annual after-tax cost of a new house for the first year of ownership. the cost is computed as the annual mortgage cost minus the tax savings. the input should be the price of the house and the down payment. the annual mortgage cost can be estimated as 3% of the initial loan balance credited toward paying off the loan principal plus 6% of the initial loan balance in interest. the initial loan balance is the price minus the down payment. assume a 35% marginal tax rate and assume that interest payments are tax deductible. so, the tax savings is 35% of the interest payment. your program should use at least two different functions and should allow the user to repeat this calculation as often as the user wishes. if mortgage price or down payment are negative, display an error message that asks the user if they wish to enter more data.

Create a function (prob3_6) that will do the following: input a positive scalar integer x. if x is odd, multiply it by 3 and add 1. if the given x is even, divide it by 2. repeat this rule on the new value until you get 1, if ever. your program will output how many operations it had to perform to get to 1 and the largest number along the way. for example, start with the number 3: because 3 is odd, we multiply by 3 and add 1 giving us 10. 10 is even so we divide it by 2, giving us 5. 5 is odd so we multiply by 3 and add one, giving us 16. we divide 16 (even) by two giving 8. we divide 8 (even) by two giving 4. we divide 4 (even) by two giving 2. we divide 2 (even) by 2 to give us 1. once we have one, we stop. this example took seven operations to get to one. the largest number we had along the way was 16. every value of n that anyone has ever checked eventually leads to 1, but it is an open mathematical problem (known as the collatz conjectureopens in new tab) whether every value of n eventually leads to 1. your program should include a while loop and an if-statement.