Optimus, Inc. purchases a piece of equipment for $$50,000$ that they estimate has a useful life of $3$ years and no salvage value. Uses the Sum of the Years' Digits method of depreciation to complete the table below. $(5$ points$)$

$\backslash$table$[[$Year$,\backslash$table$[[$Number of estimated$],[$years of life as of$],[$beginning of the year$]],$SYD Calculation,$\backslash$table$[[$Depreciation$],[$Percentage$]],$Annual Depreciation$],[,,,,],[,,,,]]$

Total: