Ragnar Company leased a machine from Lagatha Leasing. The lease is for four years. The life of the asset is four years. The lease is non$-$cancelable. Ragnar's borrowing rate is $8\%$ and does not know Lagatha's earnings rate of $5\%.$ The lease requires four payments at the beginning of each year of $$100,000.$ There is a guaranteed residual value of $$12,000,$ but Ragnar expects to return the asset with a worth of $$10,000.$ The lease begins January $1,2020.$ a$.$ Determine the cost to Ragnar using tables from Chapter $6$ and prepare an amortiztion schedule below. b$.$ Journalize the January $1,2020$ inception of the lease. c$.$ Assuming Ragnar uses straight line amortization, journalize the interest accrual and amortization for December $31,2020.$