In John Balfour's credit card account interest is charged on the average daily balance. The cycle begins on May $4,$ and the cycle ends

on June $3.$ The beginning balance is $$299\mathrm{.}54.$ A payment of $$50$ is posted on May $18.$ A charge of $$17\mathrm{.}02$ is posted on May $7.$ A

charge of $$56\mathrm{.}09$ is posted on May $12.$ A charge of $$119\mathrm{.}73$ is posted on May $29.$ John is charged $1\mathrm{.}65\%$ per period. What is the

finance charge for the cycle?

The finance charge for the cycle is $$.($Round to the nearest cent as needed.$)$