Hirsh Industries has made special arrangements with a lender to borrow $$100,000$ for $5$ years at an APR of $6$ percent. Equal payments are to be made annually at the end of each year. How much will Hirsh Industries pay in interest over the life of this loan? $($Hint: First, find the annual payment. Total interest paid equals amount of each annual payment times number of annual payments minus amount initially borrowed.$)$

Group of answer choices

a$.$ $$15,514$

b$.$ $$16,655$

c$.$ $$17,849$

d$.$ $$18,698$