I need help with the locker problem and i need to be explained it step by step.(see picture below). Also need help with this #1 If inflation is 3.5% per year, calculate the value of $1000 indexed for inflation over 5 years. round off to the nearest dollar.

There are 1000 lockers In a school, numbered from 1 through 1000. They are currently all closed. There are also 1000 students in the school that will be going through one at a time. The first student will open every single locker. The second student will change every second locker (2, 4, 6, etc.) If the locker Is currently open, he will close it. If the locker is currently closed, he will open The third student will change every third locker (3, 6, 9, etc.) The fourth student will change all lockers that are multiples of four. And so on, and so on.. This will continue until all 1000 students have gone through. By the time the last student has finished, how many lockers will be open? Which lockers will they be? How do you know these are the ones that will remain open at the end? Submit this document with your work and your final solution-Be sure to answer the final questions a) By the time they are finished, how many lockers will be open? b) Which lockers will they be? cj How do you know these are the ones that will remain open at the end