Problem $5-26$ Calculating IRR

The Utah Mining Corporation is set to open a gold mine near Provo, Utah. According to the treasurer, Monty Goldstein, $$This is a golden opportunity.$$ The mine will cost $$3,100,000$ to open and will have an economic life of $11$ years. It will generate a cash inflow of $$415,000$ at the end of the first year, and the cash inflows are projected to grow at $8$ percent per year for the next $10$ years. After $11$ years, the mine will be abandoned. Abandonment costs will be $$470,000$ at the end of Year $11.$

a$.$

What is the IRR for the gold mine? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$