Could you explain how the various figures were arrived at to the solutions to the attached question

The Blank Button Company is considering the purchase of a new machine for $30,000. The machine is expected to save the firm $12,500 per year in operating costs over a 5 year period, and can be depreciated on a straight-line basis to a zero salvage value over its life. Alternatively, the firm can lease the machine for $6,500 per year for 5 years, with the first payment due in 1 year. The firm's tax rate is 34%, and its cost of debt is 10%. Calculate the NPV of the lease versus the purchase decision. Calculate the reservation payment of the lessee. NPV of Lease versus Buy: $-30,000 - ($10,290 - $3,960) A5, .066 = $3,765.39 Prefer to Lease as the NPV of Lease Versus Buy is positive. Reservation Payment LMAX = $30,000/A5,.1 = $30,000/3.79 = $7,913.89