Investments in the stock market have increased at an average compound rate of about $5\%$ since $1905.$ It is now $2013.$

a$.$ If you invested $$1,000$ in the stock market in $1905,$ how much would that investment be worth today? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Investment

b$.$ If your investment in $1905$ has grown to $$1$ million, how much did you invest in $1905?($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Present value

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