Professor Xavier is creating a budget for his recently awarded 10-year research grant. His research requires machinery that has an initial cost of $38414. He will need to pay for maintenance on the machinery beginning at the end of year 3. He estimates the first year of maintenance will cost $1665, with the maintenance costs increasing by $830 per year each subsequent year. How much should he put in the budget today for maintenance costs? Assume he will pay maintenance until the end of the research grant. He is using an interest rate of 8%.