Calculate the average daily balance $($in $$)$ for October for a revolving credit account with a previous month's balance of $$120$ and the following activity. $($Round your answer to the nearest cent.$)$

Date Activity Amount

October $3$ Cash advance $$50\mathrm{.}00$

October $7$ Payment $$75\mathrm{.}00$

October $10$ Purchase $$27\mathrm{.}59$

October $16$ Credit $$10\mathrm{.}00$

October $25$ Purchase $$124\mathrm{.}60$

average daily balance $=$ $