How long in years will it take for a mutual fund investment of $$25,000$ to reach $$250,000$ if the fund pays $12\%$ per year?

a$.$

$20\mathrm{.}32$ years

b$.$

$25\mathrm{.}04$ years

c$.$

$10\mathrm{.}65$ years

d$.$

$15\mathrm{.}78$ years