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Sheridan Corporation purchased a special tractor on December $31,2020.$ The purchase agreement stipulated that Sheridan should pay $$22,100$ at the time of purchase and $$6,200$ at the end of each of the next $8$ years. The tractor should be recorded on December $31,2020,$ at what amount, assuming an appropriate interest rate of $11\mathrm{.}5\%?$