please do the calculation by hand

and explain briefly

(do not use any software tool) !

thanks

4. An actuarial scientist (the appraiser) with an insurance company in GA believes that the best estimate for the book value of a car totaled in an accident that has gone through n years of depreciation is to use weighted values from the MARCS and the Straight Line (SL) depreciation methods. His weighted model is given by: BVn=n+2n(BVnm)+(n1)(BVnSL) Where: BVn is his calculated Book value after year n.BVnm is the Book Value after n years from the MACRS and BVnSL is the Book Value after n years from the Straight-Line method. Right after its third year in operation, a vehicle that was initially purchased at $55,000 was involved in an accident and was totaled. What will be the appraiser's book value if he assumes a salvage value of $5,000 after five years