Nicole obtains a fully amortizing $30$ year Fixed Rate Mortgage with monthly payments for $$850,000$ at $5\mathrm{.}85\%.$ How much loan balance does Nicole have after $20$ years of payments $(240$ months$)?$ Write the answer as a number rounded to two decimals $($e$.$g$.$ if you get $$50,66666,$ write $50\mathrm{.}67).$