A homeowner in a sunny climate has the opportunity to install a solar water heater in his home for a cost of $.$

After installation the solar water heater will produce a small amount of hot water every day, forever, and will require no

maintenance. How much must the homeowner save on water heating costs every year if this is to be a sound

investment? $($The interest rate is $\%$ per year.$)$

$$2,200$

$6$

A$.$ $$177$

B$.$ $$132$

C$.$ $$162$

D$.$ $$147$