Mary puts $$3,000$ into an account run by the neighborhood Credit Union, which pays an annual interest of $4\mathrm{.}8\%$ per year, but promises daily compounding. After $13$ years how much will be in the account $($to the nearest cent$),$ Hint: to get that accuracy, you need perhaps eight place accuracy for the daily interest! To get that, do not round the number at all before continuing with the calculations.