Joey$$s Bike Shop sells new and used bicycle parts. Although a majority of its sales are cash sales, it makes a significant amount of credit sales. During Year $1,$ its first year of operations, Joey$$s Bike Shop experienced the following.

Sales on account $$276,300$

Cash sales $653,900$

Collections of accounts receivable $262,485$

Uncollectible accounts charged off during the year $1,461$

Required

Assume that Joey$$s Bike Shop uses the allowance method of accounting for uncollectible accounts and estimates that $1$ percent of its sales on account will not be collected. Answer the following questions:

$(1)$ What is the Accounts Receivable balance at December $31,$ Year $1?$

$(2)$ What is the ending balance of the Allowance for Doubtful Accounts at December $31,$ Year $1,$ after all entries and adjusting entries are posted?

$(3)$ What is the amount of uncollectible accounts expense for Year $1?$

$(4)$ What is the net realizable value of accounts receivable at December $31,$ Year $1?$

Assume that Joey$$s Bike Shop uses the direct write$-$off method of accounting for uncollectible accounts. Answer the following questions:

$(1)$ What is the Accounts Receivable balance at December $31,$ Year $1?$

$(2)$ What is the amount of uncollectible accounts expense for Year $1?$

$(3)$ What is the net realizable value of accounts receivable at December $31,$ Year $1?$