What amount must be invested to accumulate to a value of $$11,900$ in $180$ days if the interest rate is $7\%$ p$.$a$.?$

Select one:

a$.$ $$11,487\mathrm{.}58$

b$.$ $$11,489\mathrm{.}20$

c$.$ $$11,502\mathrm{.}91$

d$.$ $$11,603,48$