Final answer:
To avoid an underpayment penalty, the self-employed taxpayer needs to prepay at least 90% of their current year's tax liability or 100% of their previous year's tax liability, whichever is lower.
Step-by-step explanation:
To avoid an underpayment penalty, the self-employed taxpayer needs to prepay at least 90% of their current year's tax liability or 100% of their previous year's tax liability, whichever is lower. In this case, the taxpayer's estimated tax for 2009 is $7,500, which is higher than the previous year's tax of $7,000. Therefore, they will need to prepay at least $7,000 to avoid an underpayment penalty.