Your aunt offers you a choice of $$25,000$ in $50$ years or $$100$ today. If money is

discounted at $12\%,$ which should you choose?

How much would you have to invest today to receive:

a$.$ $$12,000$ in six years at $10\%.$

b$.$ $$15,000$ in fifteen years at $9\%$

c$.$ $$5,000$ each year for ten years at $3\%.$

d$.$ $$40,000$ each year for forty years at $6\%.$

Your roommate invests $$1,000$ in a mint$-$condition Mickey Mantle rookie baseball

card. He expects the card to increase in value by $8\%$ a year for the next five

years. After that, he anticipates a $10\%$ annual increase for the next three years.

At the end of eight years, he plans to sell it$.$ What is the projected value of the

card at that time?

At a growth $($interest$)$ rate of $5\%$ annually, how long will it take for a sum of

money to double? To triple? $($Select the year that is closest to the correct answer.$)$

Determine the amount of money in a savings account at the end of four years,

given an initial deposit of $$5,000$ and an $8\%$ annual interest rate when interest is

compounded:

a$.$ annually.

b$.$ semiannually.

c$.$ quarterly.