Future Value of Annuity. Michelle is attending college and has a part$-$time job. Once she finishes college, Michelle would like to relocate to a metropolitan area. She wants to build her savings so that she will have a "nest egg" to start her off. Michelle works out her budget and decides she can afford to set aside $$180$ per month for savings. Her bank will pay her $4\%$ per year, compounded monthly, on her savings account. What will be Michelle's balance in five years?