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Furniture and fixtures, equipment and leasehold improvements are stated at cost. Depreciation of furniture and fixtures and equipment is computed using the straight-line method over estimated useful lives that range from two to ten years. Leasehold improvements are amortized using the straight-line method over the shorter of their estimated useful lives or the term of the related leases.
Depending on the quality of the washer/dryer I would estimate it to fully depreciate within 10 years. Ten years = 120 months. Divide the original price of the washer/dryer by 120 months to determine the depreciation each month. Then multiply by how many months the family member has had it.