Suppose the charge account of Black's Mailing Service at the local supply store had a $1\mathrm{.}7\%$ 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 $$118\mathrm{.}29,$ a payment of $$15\mathrm{.}00$ posted on March $13,$ and a purchase of $$29\mathrm{.}89$ posted on March $20.$ The billing cycle ends March $31.$

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