Alpish is investing $$2,500$ today and will do so at the BEGINNING of each year for the next six years $($e$.$g$.,$ $$2,500$ at year $=0,$$$2,500$ at year $1,$dots,$$2,500$ at year $6).$ He will be investing seven payments in all. If his investments earn $8\%$ annually, how much will he have at the beginning of year $7?($Round your answer to the nearest dollar.$)$