In $1624,$ an explorer purchased an island from a tribe in exchange for goods that would have been valued at about $$29.$ If the Native Americans had been able to put that dollar amount into a bank account at $6\%,$ how much would the investment have been worth in the year $2020(t=396$ years$)$ if interest were compounded a$.$ quarterly? b$.365$ times per year?

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a$.$ How much would the investment be worth if the money were compounded quarterly?

A$.$ $$477,248,697,377$

B$.$ $$506,534,371,979$

C$.$ $$570,607,214,890$

D$.$ $$537,617,119,557$