At December $1,2023,$ Imalda Inc. reported the following information on its statement of financial position:

Accounts receivable $ $154,000$

Allowance for doubtful accounts $4,500($credit balance$)$

The following transactions were completed during December $2023$:

December $5$ Sold merchandise items for $$67,000.$ An amount of $$19,000$ was received in cash and the rest on account; terms $2/10,$ n$/60.$ The total cost of sales was $$35,000.$

December $12$ Collected amount due from customers for credit sales made on December $5.$

December $20$ Collected $$90,000$ in cash from customers for credit sales made in November $2023.$

December $26$ One of Imalda$$s customers that owed $$3,000$ to the company experienced financial problems and was forced to close its business in December. The full amount was considered uncollectible.

The company records sales revenue net of the sales discount. If a customer pays after the discount period, the sales discount that is forfeited is recorded in a separate account $($sales discounts forfeited$)$ and closed to sales revenue at the end of the accounting period.

Aging of Accounts Receivable

Current $130$ days

past due $3160$ days

past due Over $60$ days

past due

Total $ $42,000$ $ $31,500$ $ $5,000$ $ $6,500$

Estimated $\%$ uncollectible $1\%2\%10\%30\%$

Required:

$1.$ Determine the balances of accounts receivable and allowance for doubtful accounts at December $31,2023,$ based on the preceding information. $($Hint: use T$-$accounts to keep track of the effects of the transactions above on these accounts.$)$