Ron Prentice bought goods from Shelly Katz. On March $7,$ Shelly gave Ron a time extension on his bill by accepting a $$3,000,8\%,165-$day note. On June $5,$ Shelly discounted the note at Roseville Bank at $7\%.($Use Days in a year table.$)$

What proceeds does Shelly Katz receive? $($Use $360$ days a year. Do not round intermediate calculations. Round your answer to the nearest cent.$)$