Dave has a mortgage on his home for $$300,000$ at $3\mathrm{.}50\%$ interest for $30$ years. His home is currently worth $$450,000.$ Dave has $$30,000$ in credit card debt with total monthly minimum payments of $$817\mathrm{.}00.$ Dave refinances his home and takes out a loan of $$330,000($$$30,000$ from the equity in his home$)$ at $2\mathrm{.}50\%$ for $30$ years. He uses the $$30,000$ to pay off the credit cards. How much have his total payments $($mortgage $+$ credit cards$)$ changed after the refinancing$/$payoff sequence?

Group of answer choices

Total payments decrease by $$860\mathrm{.}23$

Total payments decrease by $$1,347\mathrm{.}13$

Total payments decrease by $$1,303\mathrm{.}90$

New total is $$2,164\mathrm{.}13$

Benny has a mortgage on his home for $$400,000$ at $3\mathrm{.}00\%$ interest for $30$ years. His home is currently worth $$450,000.$ Benny has $$20,000$ in credit card debt with total monthly minimum payments of $$417\mathrm{.}00.$ Benny refinances his home and takes out a loan of $$420,000($$$20,000$ from the equity in his home$)$ at $2\mathrm{.}25\%$ for $30$ years. He uses the $$20,000$ to pay off the credit cards. How much have his total payments $($mortgage $+$ credit cards$)$ changed after the refinancing$/$payoff sequence?

Group of answer choices

Payments decrease by $$1,605\mathrm{.}43$

Payments decrease by $$497\mathrm{.}99$

Payments decrease by $$566\mathrm{.}99$

Payments decrease by $$1,686\mathrm{.}42$