Future value with periodic rates. Matt Johnson delivers newspapers and is putting away $$19$ at the end of each month from his paper route collections. Matt is $8$ years old and will use the money when he goes to college in $10$ years. What will be the value of Matt's account in $10$ years with his monthly payments if he is earning $5\mathrm{.}5\%($APR$),8\%($APR$),$ or $13\mathrm{.}5\%($APR$)?$

What will be the value of Matt's account in $10$ years with his monthly payments if he is earning $5\mathrm{.}5\%($APR$)?$

$$,($Round to the nearest cent.$)$