Today, Adam and Natalie each have $$481,723$ in an investment account. No other contributions will be made to their investment accounts. Both have the same goal: They each want their account to reach $$1\mathrm{.}375$ million, at which time each will retire. Adam has his money invested in lower$-$risk securities with an expected annual return of $6\%.$ Natalie has her money invested in a stock fund with an expected annual return of $14\%.$ If their actual realized returns equal the expected returns, how many years after Natalie retires will Adam retire?

a$.6\mathrm{.}00$

b$.8\mathrm{.}00$

c$.10\mathrm{.}00$

d$.12\mathrm{.}00$

e$.14\mathrm{.}00$