Charlie needs a

$

$275$

$,$

$000$

mortgage and he'd like to pay it off in

$30$

years. He is considering two banks.

Bank A:

$3\mathrm{.}5$

$\%$

with monthly payments of

$

$1$

$,$

$234\mathrm{.}87$

and a total payback of

$

$444$

$,$

$553\mathrm{.}20$

Bank B:

$4$

$\%$

with monthly payments of

$

$1$

$,$

$312\mathrm{.}89$

and a total payback of

$

$472$

$,$

$640\mathrm{.}40$

Charlie doesn't think a

$0\mathrm{.}5$

$\%$

difference is that much.

What is the difference between these two bank loans with total interest paid over the life of the loan?