Final answer:
When Jules sells the house to Villanueva, Jules remains responsible for the property tax for the entire year, but since Villanueva pays the tax, Jules cannot deduct any portion of the property taxes.
Step-by-step explanation:
When Jules sells the house to Villanueva on April 30, 2022, Jules is still the owner of the property. Therefore, Jules is responsible for the real property tax for the entire year, which is $7,300. However, on June 1, 2022, Villanueva pays the full amount of the real estate tax. Since Villanueva paid the tax, Jules would not be eligible to deduct any portion of the property taxes on their tax return.