Thomas's Treats, is considering purchasing a new machine which it expects to cut production costs. The company believes that it will save $$8,000$ per year over the next $11$ years, the useful life of the machine. There will be annual cash expenses of $$2,000$ plus annual depreciation of $$200$ associated with the machine. The company will also have to perform major maintenance on the machine after $7$ years. This will cost $$9,000.$ The machine itself will cost a total of $$19,000.$ At the end of the attraction's useful life it can be scrapped for $$700.$ The company only invests in projects if they have a payback period of $4$ years or less or if they have a required rate of return $($also known as the discount rate$)$ of $7\%.$ Calculate the unadjusted rate of return of the machine.

State your answer in terms of decimals $($do not convert the answer to a percentage$)$

Round your answer to the nearest hundredth $($two decimal places$).$

Enter a $"0"$ before your decimal, otherwise the software may count the answer as incorrect even if it is correct.