**** answer a-c please!

Lottery. Your dreams of becoming rich have just come true, You have won the State of Tranqulity' Lottery. The State offers you two payment plans for the \$6,0c0,000 advertised jackpot You can take arinual payments of $300,000 at the end of the year for the next 20 years or $2,738,584 today. a. If your investrent tale over the next 20 years is 10%, which payoff will you choose? b. If your investment rato over the next 20 years is 7%, which payoff will you choone? c. Al what investment rate will the annulty stream of $300,000 be the sarme as the lump-sum payment of $2,730,564 ? a. If your investment rate over the next 20 years is 10%, what is the present value of the $390,000 annual payments tecay? (Pound to the nearest dollar)