Answer:
6.3 years
Step-by-step explanation:
The formula for depreciation is
[tex]A=P(1-r)^{t}[/tex]
Where P is the initial value, A is final value, t is duration in years and r is rate in deximal point. Substituting 55, 500 for P and 20, 000 for A, 0.15 for rate, r then
[tex]20,000=55, 500(1-0.15)^{t}\\0.85^{t}=\frac {200}{555}\\t log0.85=log 0.36\\t=6.28635230793819\ years\approx 6.3\ years[/tex]
Therefore, it requires about 6.3 years