Overnight Trucking recently purchased a new truck costing $$220,000.$ The firm financed this purchase at $8\mathrm{.}4$ percent interest with monthly payments of $$2,000.$ How many years will it take the firm to pay off this debt?

A$)106\mathrm{.}72$ years

B$)17\mathrm{.}56$ years

C$)8\mathrm{.}00$ years

D$)13\mathrm{.}84$ years

E$)96\mathrm{.}04$ years