If Patty Shoemaker estimates that her $$300$ weekly grocery bill will increase at an annual inflation rate of $5\%,$ what should her weekly grocery bill be in $4$ years?

Question $40$ options:

a$)$

$$344\mathrm{.}80$

b$)$

$$334\mathrm{.}80$

c$)$

$$384\mathrm{.}00$

d$)$

$$364\mathrm{.}80$