The formula for continuously compounding is [tex]A(t)=Pe^{rt}[/tex], where P is the initial investment amount, e is Euler's number, r is the interest rate in decimal form, and t is the time in years. For us that looks like this: [tex]A(t)=5,000,000e^{(.04)(30)}[/tex]. Simplifying a bit gives us [tex]A(t)=5,000,000e^{1.2}[/tex]. There is a button on your calculator to find the value of e^1.2. Hit 2nd then ln and you'll see "e^ " on your display. Enter 1.2 and hit "enter" to get that e^1.2 is equal to 3.320116923. Now multiply that by your P value of 5 million to get A(t) = $16,600,584.62
