Future value with periodic rates. Matt Johnson delivers newspapers and is putting away $$40$ at the end of each quarter from his paper route collections. Matt is $9$ years old and will use the money when he goes to college in $9$ years. What will be the value of Matt's account in $9$ years with his quarterly payments if he is earning $4\mathrm{.}5\%($APR$),10\mathrm{.}5\%($APR$),$ or $15\%($APR$)?$

What will be the value of Matt's account in $9$ years with his quarterly payments if he is earning $4\mathrm{.}5\%($APR$)?$

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