Karen set up an investment account when she was $18$ years old. She put $$500$ a month into the account for $12$ years. This account paid an average annual rate of interest of $5\mathrm{.}75\%$ compounded quarterly. At the end of the $12$ years, at age $30,$ Karen took all the money from this investment and put it into a different account that paid a fixed annual rate of $7\%$ compounded annually as long as she did not withdraw any of the money. At what age would Karen have $$1000000$ in this second account?

Complete the tables and circle the value that was calculated for each table.

First Account

PV$\_\_\_\_,$FV$\_\_\_\_,$periods$\_\_\_\_\_\_,$rate$\_\_\_\_\_,$Payment$\_\_\_\_\_,$payment$/$yr$\_\_\_\_\_,$compound pmt$/$yr$\_\_\_\_\_$