Suppose you want to buy a house that costs $$250,000.$ You have $$50,000$ dollars for a down payment. The bank is offering two different mortgage options.

Option A: $25-$year mortgage at $5\mathrm{.}5\%.$

Option B: $25-$year mortgage at $5\mathrm{.}1\%$ with two points. The cost of the points will be rolled into the mortgage.

Compute the monthly payments for mortgage option A$.($round to the nearest cent$)$

$

Compute the total cost of the home using mortgage option A$.($round to the nearest dollar$)$

$

Compute the monthly payments for mortgage option B$.($round to the nearest cent$)$

$

Compute the total cost of the home using mortgage option B$.($round to the nearest dollar$)$

$