Nippon Steel's 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 $$41,000$ 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 $9\mathrm{.}00\%$ per year?

The equivalent annual worth is determined to be $