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 $$282\mathrm{.}93.$ A payment of $$50$ is posted on May $18.$ A charge of $$16\mathrm{.}29$ is posted on May $7.$ A charge of $$53\mathrm{.}16$ is posted on May $12.$ A charge of $$110\mathrm{.}46$ is posted on May $29.$ John is charged $1\mathrm{.}57\%$ per period. What is the finance charge for the cycle?

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