Bob Terwilliger received $$13,727$ for his services as financial consultant to the mayors office of his hometown of Springfield. Bob says that his consulting work was his civic duty and that should not receive any compensation. So$,$ he has invested his paycheck into an account paying $30\%$ annual interest and left the account in his will to the city of springfield on the condition that the city could not collect any money from the account for $170$ years.How much money will the city receive in $170$ years from Bob's generosity?