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Charlie's Angles is a vinyl siding installer evaluating its accounts receivable as it records adjustments at the end of the year $2023.$ It uses the aging method for estimating bad debts, and has a $$250,000$ accounts receivable balance as of December $31$ st$,$ of which $$200,000$ is less than $30$ days outstanding and $$50,000$ is more than $30$ days outstanding. It expects uncollectability rates of $6\%$ for the accounts less than $30$ days outstanding, and $16\%$ for the accounts more than $30$ days outstanding. Use this information to answer the following three questions, and assume that each of the questions below are independent of each other $($e$.$g$.,$ your answer for the first one should have no effect on your answer for the second or third$).$

What amount of bad debt expense will Charlie's Angles record if its allowance for doubtful accounts before recording adjustments has a balance of $$0?$