First, we need to find how much will Jessica pay for the auction company as:
[tex]82,500\cdot15\text{ \% = 82,500}\cdot\frac{15}{100}=12,375[/tex]Now, Jessica will pay for the house the sum of the final bid and the charge of the auction company. So, she will pay:
$82,500 + $12,375 = $94,875
Answer: $94,875