You borrowed $$185,000$ for $30$ years to buy a house. The interest rate is $4\mathrm{.}35$ percent compounded monthly. If you pay all of your monthly payments as agreed, how much total interest will you pay on this mortgage? $($Round the monthly payment to the nearest whole cent.$)$

a$.$ $$141,406$

b$.$ $$147,027$

c$.$ $$154,319$

d$.$ $$150,408$

e$.$ $$146,542$