Final answer:
The new value of accounts receivable after a $2,000 write-off from the original amount of $70,000 is $68,000. The Allowance for Doubtful Accounts is only an estimate for potential losses and does not directly affect the calculation.
Step-by-step explanation:
The value of the accounts receivable after the write-off is calculated by reducing the accounts receivable by the write-off amount. Originally, the accounts receivable is $70,000 and the write-off amount is $2,000. Therefore, the new value of accounts receivable after the write-off would be $70,000 - $2,000 = $68,000. It is important to note that the Allowance for Doubtful Accounts is not factored in this calculation because it serves as an estimate for future write-offs and not for specific write-off transactions.