On July $1,2019,$ Boston Company purchased a machine at a cost of $$80,000.$ It paid $$56,046\mathrm{.}06$ in cash and signed a $10\%$ note for the difference. This note is to be paid off in annual installments of $$5,000$ each, payable each July $1,$ beginning immediately. The $$5,000$ includes a payment of interest on the balance of the principal at the beginning of each period and a payment on the principal.

Required:

Calculate the number of annual payments to be made by Boston.