Suzy has a new credit card with an APR of $12\mathrm{.}99\%$ and a credit limit of $$1000.$ The minimum monthly payment is $3\mathrm{.}5\%$ of the new balance. If Suzy purchases $$150$ in cleaning supplies at the beginning of the month, what will be Suzy's minimum payment at the end of the month?

Express your answer rounded to the nearest cent.