?The December $31,20$X$7$ ?statement of financial position of Howson Limited showed Trade Accounts Receivable of $$450,000$ ?and a credit balance in Allowance for Doubtful Accounts of $$45,000.$ ?During $20$X$8,$ ?the following transactions occurred: service revenue billed on account, $$1,500,000$; collections from customers, $$1,300,000$; accounts written off $$37,000$; previously written off accounts of $$4,000$ ?were collected.

Required:

$($a$)$ ?Record the $20$X$8$ ?transactions.

$($b$)$ ?If the company uses the percentage of receivables basis to estimate bad debts expense and determines that uncollectible accounts are expected to be $5\%$ ?of trade accounts receivable, what is the adjusting entry at December $31,20$X$8?$