On July $1,$ Shady Creek Resort borrowed $$250,000$ cash by signing a $10-$year, $6\%$ installment note requiring equal payments each month of $$3,105.$ What amount of interest expense will be included in the first payment?

A$.$ $$1,250$

B$.$ $$15,000$

C$.$ $$3,105$

D$.$ $$4,355$

E$.$ $$2,236$