During the first week of January, an employee works $49$ hours. For this company, workers earn $150\%$ of their regular rate for hours in excess of $40$ per week. Her pay rate is $$20$ per hour, and her wages are subject to no deductions other than Federal Insurance Contributions Act $($FICA$)$ Social Security, Federal Insurance Contributions Act $($FICA$)$ Medicare, and federal income taxes. The tax rate for Social Security is $6\mathrm{.}2\%$ of the first $$137,700$ earned each calendar year and the Federal Insurance Contributions Act $($FICA$)$ tax rate for Medicare is $1\mathrm{.}45\%$ of all earnings. The current Federal Unemployment Taxes $($FUTA$)$ tax rate is $0\mathrm{.}6\%,$ and the State Unemployment Taxes $($SUTA$)$ tax rate is $5\mathrm{.}4\%.$ Both unemployment taxes are applied to the first $$7,000$ of an employee's pay. The employee has $$83$ in federal income taxes withheld. What is the amount of this employee's net pay for the first week of January? $($Round your intermediate calculations to two decimal places.$)$