The program needs to be done in python. And the professor wants us to use a starting value of $100 and use a while loop nested within a for loop. I almost got it working but can't get it quite right. Any annotation would be appreciated so I can learn.

Rule of 72 This rule is used to approximate the time required for prices to double due to inflation. If the inflation rate is r %, then the Rule of 72 estimates that prices will double in 72/r years. For instance, at an inflation rate of 6/o, prices double in about 72/6 or 12 years. Write a program to test the accuracy of this rule. For each interest rate from 1% to 20%, the program should display the rounded value of 72/r and the actual number of years required for prices to double at an r% inflation rate. (Assume prices increase at the end of each year.)