Helen is planning to purchase a car but does not want to borrow money from the bank so she plans to save for five years.$$ She opens an account and deposits $$3,000.$ At the beginning of each week, she deposits $$40$ into the account.$$ If the account pays interest at the rate of $2\mathrm{.}5\%$ per year, how much will she have saved to buy the car at the end of five years? $$