The Summer Breeze Hotel borrowed $$100,000$from the Meadowlands Bank to pay for a new air conditioning system. The loan is for a period of $5$years at an interest rate of $10\%$and requires $5$equal end $-$ of $-$ year payments that include both principal and interest on the outstanding balance. how much in interest will be paid over the life of the loan?

A $-31,899$

B $-29,390$

C $-24,763$

D $-39,743$

E $-50,000$