Last year Thomson Inc's earnings per share were $$2\mathrm{.}90,$ and its growth rate during the prior $5$ years was $9\mathrm{.}8\%$ per year. If that growth rate were maintained, how many years would it take for Thomson's EPS to triple?

a$.10\mathrm{.}65$ years

b$.7\mathrm{.}41$ years

c$.10\mathrm{.}20$ years

d$.6\mathrm{.}75$ years

e$.11\mathrm{.}75$ years