The current market price of NovaTech Inc. stock is $$5,$ and the company's earnings per share $($EPS$)$ for the most recent fiscal year was $$2\mathrm{.}50.$ If the company's earnings grow at a rate of $7\%$ per year, how many years will it take for the EPS to double? Round up to the nearest whole year.

$2$

$11$

$6$

$1$