Investing $1 into a 100% a compounding interest scheme where

Precalculus 12
Dec 1 homework
1. Go to my website. Fill out the feedback form on Unit test 3
2. Go back to my website. Read the notes from today. Read them thoroughly. Marvel at their awesomeness
3. Homework on exponential functions
 Pagg 355 #4
 #6 (just create a rough sketch without graphing technology). The only point on the curve you should find is yintercept)
4. SPECIAL PAUL HOMEWORK – and no googling
a) Consider the scenario where I give you $1 and pay you 100% interest after 1 year.
 How much money do you have after one year?
b) Instead of me paying you 100% of your $1 at the end of the year, I will instead compound this interest twice: I’ll
divide the 100% into two equal 50% portions of interest, and apply the interest two times throughout the year. You’ll
still get the interest rate of 100%, but it will be broken up and applied twice (at 6 months, and at 12 months).
 Now how much do you have after this year?
c) repeat the above, but instead divide the interest rate into thirds (33.3…%) and compound 3 times per year.
 How much after one year in this scenario?
d) Complete the chart, and see if anything jumps out. Explore, think, investigate
Investing $1 into a 100% a compounding interest scheme where compounding
frequency varies
# of compounds
Interest rate per compounding Total amount at the end of the
period
year.
1
100%
2
50%
3
33.3…%
4
5
6
…
Lots!
….
Many, many
compounds (A big
number!)