Nippon Steels expenses for heating and cooling a large manufacturing facility are expected to increase according to an arithmetic gradient beginning in year 2. If the cost is $550,000 this year (year 0) and will be $550,000 again in year 1, but then it is estimated to increase by $40,000 each year through year 12, what is the equivalent annual worth in years 1 to 12 of these energy costs at an interest rate of 13% per year?