On $2021-10-05$ Piotr invests $$5,150\mathrm{.}00$ in an account paying ${?}^{(4)}=9\mathrm{.}625\%.$ The account uses the compound interest method for computing interest for partial periods. How

much money does he receive when he withdraws it on $2022-04-15?$

a$.$ $$5,164\mathrm{.}55$

b$.$ $$5,414\mathrm{.}96$

c$.$ $$5,164\mathrm{.}98$

d$.$ $$5,166\mathrm{.}25$

e$.$ $$5,165\mathrm{.}54$