Chez Fred Bakery estimates the allowance for uncollectible accounts at $5\%$ of the ending balance of accounts receivable. Chez started $2023$ with $$100,000$ in accounts receivable and $$6,000$ in allowance for uncollectibles. During $2023,$ Chez Fred's credit sales and collections were $$125,000$ and $$131,000,$ respectively and $$5,000$ in accounts receivable were written off during $2023.$ Bad debt expense for $2023$ is: