In: Statistics and Probability
Hypothetically, which would you rather have? Formulas for both options, how you entered the values into Excel to create column functions if that is easier for you. • A graph to show the growth of both options (use either Excel or Desmos). • The total amounts after the time is up for both options and which you would rather have, option A or B. • A paragraph… what did you learn from this project?
Option A – For 30 days, I give you an amount of money to save. On day 1, I will give you $0.01. On day 2, I will double that and give you $0.02. You now have $0.03. On day 3, I will double the previous day and give you $0.04. You now have $0.07. This pattern will continue until 30 days have passed.
Option B – For 30 days, I will give you $10,000 to save. Each day I will increase the amount by 5%. So, on day 1 I give you $10,000 and at the end of the day I increase it by 5% to have a total of $10,000 + $500 = $10,500.
So, I would prefer Option A
After Time is Up Total Amount of
Option A is 10737418.23
Option B is 664388.475