Galaxy Company has added a crypto fund. The high$-$risk fund will earn a significant risk$-$reward return rate of $24\%$ per year, compounded monthly. Find how long it will take $ $12000$ invested in this fund to double $($x $2).$

a$.$

$3\mathrm{.}19$ years

b$.$

$1\mathrm{.}93$ years

c$.$

$2\mathrm{.}47$ years

d$.$

$2\mathrm{.}91$ years

e$.$

$2\mathrm{.}67$ years