Consider the following returns and states of the economy for TZ$.$Com.:

Economy

Probability

Return

Weak

$20\%$

$-4\%$

Normal

$20\%$

$9\%$

Strong

$60\%$

$24\%$

What is the standard deviation of TZ$\text{'}$s returns? SET YOUR CALCULATOR TO FOUR DECIMAL PLACES AND ROUND TO $2$ DECIMAL PLACES AT THE END. DO NOT ENTER THE $\%.$ FOR EXAMPLE, IF YOUR ANSWER IS $7\mathrm{.}7011\%$ ENTER IT AS $7\mathrm{.}70.$

Twenty years ago, Jill won a state lottery that paid $$50,000$ at the end of each year for the first $10$ years, and $$70,000$ at the end of years $11$ through year $20.$ A financial advisor recommended that Jill put all the winnings in an account earning $12\%$ per year. How much will Jill have in the account at the end of year $30$ i$.$e$.30$ years from the day she won the lottery?