$5$ deposits of $$600$ each are made into an account at the end of years $9,10,11,12,$ and $13,$ what will be the balance in the account at the end of year $25,$ if the account offers a stated annual rate of interest r $=12$ percent compounded annually? $[$Optional: Try using each of the four annuity formulas to solve this problem and then verify the result using repeated lump sum calculations.$]$