$$Matt Johnson delivers newspapers and is putting away

$$$$4040$

at the end of each

quarterquarter

from his paper route collections. Matt is

$1111$

years old and will use the money when he goes to college in

$77$

years. What will be the value of$$ Matt's account in

$77$

years with his

quarterlyquarterly

payments if he is earning

$5\mathrm{.}55\mathrm{.}5\%$

$($APR$),$

$10\mathrm{.}5\%10\mathrm{.}5\%$

$($APR$),$ or

$12\mathrm{.}5\%12\mathrm{.}5\%$

$($APR$)?$

Question content area bottom

Part $1$

What will be the value of$$ Matt's account in

$77$

years with his

quarterlyquarterly

payments if he is earning

$5\mathrm{.}55\mathrm{.}5\%$

$($APR$)?$