The balance on a credit card, that charges an $18\%$ APR interest rate, over a $1$ month period is given in the following table:

$\backslash$table$[[$Days $1-5$:$,$$$200,($initial balance$)],[$Days $6-20$:$,$$$350,($$$150$ purchase$)],[$Days $21-30$: $$150,($$$200$ payment$),]]$

What is the finance charge, on the average daily balance, for this card over this $1$ month period?

finance charge $?]$

Round to the nearest hundredth.