$57.$ Today is Jan. $1,2019.$ Starting today you plan to invest $$3000$ every year, first deposit today and last

deposit on Jan. $1,2040.$ After that, you plan to leave the money in the same account until Jan. $1,2060.$

However, the interest rate is $8\%$ compounded quarterly until your last deposit and only $6\%$ compounded

annually after that. How much money will you have in your account on Jan. $1,2060?($Note: This question is

worth more$)$

a$.$ $$540,400\mathrm{.}25$

b$.$ $$550,021\mathrm{.}66$

c$.$ $$705,057\mathrm{.}23$

d$.$ $$724,134\mathrm{.}52$

e$.$ $$485,139\mathrm{.}42$