Critical Thinking $5-1($Algo$)$

Arden, an employee of Sweet Shoppe Industries, receives a bonus of $\backslash (\backslash$$ $3,100\backslash )$ for stellar work this period. Arden's boss wants the net check to be $\backslash (\backslash$$ $3,100\backslash ).$ Arden contributes $3$ percent to a pre$-$tax $\backslash (401(\backslash$mathrm$\{$k$\})\backslash )$ deduction.

Required:

Calculate the gross pay amount that would result in $\backslash (\backslash$$ $3,100\backslash )$ paid to Arden. $($The tax rate on bonuses is $22$ percent. Social Security $(\backslash (6\mathrm{.}2\backslash \%\backslash ))$ and Medicare taxes $(\backslash (1\mathrm{.}45\backslash \%\backslash ))$ must be added to this rate.$)$

Note: Do not round intermediate calculations. Round your final answer to $\backslash (\backslash$mathbf$\{2\}\backslash )$ decimal places.