An ervironmentaly friendly $2,700-$square$-$foot green home $(90\%$ air tight$)$ costs about $8\%$ more lo construct than a sathe$-$szed conventional home. Most green homes can save $13\%$ per year on energy expenses to heat and cool the living space. For a $$231,000$ comentonal home with a heating and cooling bill of $$2,500$ per year, how much would have Fo $.$ years.

Cliek the icon to view the interest and arnuity tabie for discrete compounding when the MARR is $8\%$ per year.

would have to be saved in energy expenses per year to justify this home. $($Round to the nearest dollar.$)$