Charles and Joan Thompson file a joint return. In $2021,$ they had taxable income of $$92,370$ and paid tax of $$11,903.$ Charles is an advertising executive, and Joan is a college professor. During the fall $2022$ semester, Joan is planning to take a leave of absence without pay. The Thompsons expect their taxable income to drop to $$70,000$ in $2022.$ They expect their $2022$ tax liability will be $$7,992,$ which will be the approximate amount of their withholding. Joan anticipates that she will work on academic research during the fall semester.

During September, Joan decides to perform consulting services for some local businesses. Charles and Joan had not anticipated this development. Joan is paid a total of $$35,000$ during October, November, and December for her work. Use the appropriate Tax Rate Schedules.

Required:

What estimated tax payments are Charles and Joan required to make, if any, for tax year $2022?$

Note: Round your intermediate calculations and final answer to the nearest dollar amount.

Do you anticipate that the Thompsons will be required to pay an underpayment penalty when they file their $2022$ tax return? Assume that Charles and Joan made the estimated payment as determined in requirement a$.$