Consider a bank account starting with $1 (if $1 seems too small to you, you are welcome to multiple this and all other results by any desired amount, say, $1,000 or $100,000). If the bank gives you 100% interest rate (yes, I know, its not realistic, but just play along!), then after one year you have $2 in your account.

1) What will happen if instead the bank gives you 50% interest every half a year? How much money will you have in your account after 1 year?

2) How much money will you have after one year if the bank adds the interest of 25% every quarter? Did the amount increase/decrease/stay the same?

3) Create a table corresponding to compounding your dollar monthly, daily, hourly, and even every minute.