Chuck Wells is planning to buy a Winnebago motor home. The listed price is $$175,000.$ Chuck can get a secured add$-$on interest loan from his bank at $7\mathrm{.}25\%$ for as long as $60$ months if he pays $15\%$ down. Chuck's goal is to keep his payments below $$4,100$ per month and amortize the loan in $42$ months.