Today is $1/7/2021,$ John plans to deposit $$500$ at the beginning of each month into an investment fund. The first deposit will be deposited today. John predicts that the return rate of this fund will be j$2=5\mathrm{.}2\%$ from $1/7/2021$ to $30/9/2021$ and j$2=5\mathrm{.}67\%$ from $1/10/2021$ to $31/12/2021.$ What will be balance amount of this account on $31/12/2021?$ Round your answer to three decimal places.

Question $11$Answer

a$.$

$3047\mathrm{.}727$

b$.$

$3048\mathrm{.}248$

c$.$

$3048\mathrm{.}806$

d$.$

$3049\mathrm{.}608$