Nellie wants to buy a $$1,190,000\mathrm{.}00$ house. She makes a $$110,000\mathrm{.}00$ down payment and takes out a $25-$year mortgage to pay for the rest. Her monthly mortgage payment is $$4,750\mathrm{.}00.$ What is the principal of her mortgage? How much interest will she pay over the life of her loan? How much will she pay in total for her house?