You just won the $$41$ million lottery. You will receive $$2\mathrm{.}1$ million a year for the next $15$ years plus an additional payment of $$9\mathrm{.}5$ million at the end of $15$ years. The interest rate is $8$ percent.

how much is your lottery prize worth today? $($Enter your answer as a positive number rounded to $2$ decimal places.$)$

Problem $9-21$ Future value $[$LO$9-2]$

At an interest rate of $11$ percent annually, how long will it take for a $$1,000$ to double? To triple? $($Round your answers to $2$ decimal places.$)$