Alexis is ready to buy her house. She will purchase the $$450,000$ house with her $$75,000$ down payment and finance the rest with a $20$ year, $6\%$ annual rate mortgage with equal end

of month payments. What will be her monthly payment?

A$.$ $$2,686\mathrm{.}62$

B$.$ $$2,134\mathrm{.}76$

C$.$ $$3,223\mathrm{.}94$

D$.$ $$1,701\mathrm{.}69$