1). Gloria places \($5,000\) in an investment that pays her \(5%\) interest compounded yearly. She would like to know what happens for the first 4 years of her investment. What if it were compounded quarterly?

a) Compare the amounts and interest earned for the first 4 years for annual, semi-annually and quarterly. What do you notice?

b) Find an algebraic equation for the interest earned.

2). Returning to the problem in Module 1:

You go to one bank who will give you 5% interest on your $5000 for 5 years. You go to another bank who will give you 5% interest compounded daily for 5 years. Which one should you take and why?

Now that we’ve looked at a special case of exponential growth, let’s learn about a special case of exponential decay.

## Go to Watch (Half-Life)