Last year Thomson Inc's earnings per share were $$4\mathrm{.}10,$ and its growth rate during the prior $5$ years was $9\mathrm{.}6\%$ per year. If that growth rate were maintained, how many years would it take for Thomson's EPS to triple?

a$.10\mathrm{.}42$ years

b$.10\mathrm{.}89$ years

c$.6\mathrm{.}98$ years

d$.7\mathrm{.}56$ years

e$.11\mathrm{.}98$ years