Suppose the charge account of Black's Mailing Service at the local supply store had a $1\mathrm{.}6\%$ interest rate per month on the average daily balance. Find the Black's finance charge on April $1$ if Black's had an unpaid balance on March $1$ of $$111\mathrm{.}28,$ a payment of $$20\mathrm{.}00$ posted on March $6,$ and a purchase of $$29\mathrm{.}69$ posted on March $18.$ The billing cycle ends March $31.$

The Black's finance charge is $ $($Round to the nearest cent as needed.$)$