A $$5,000$ loan at $9\mathrm{.}9\%$ compounded monthly was settled by a single payment of $$6,000$ including accrued interest. How long after the initial loan was the $$6,000$ payment made? For the purpose of determining the number of days in a partial month, assume that a full month has $30$ days. $($Do not round intermediate calculations. Round your answer to the nearest day.$)$

year

months

days