I am being told to use 5000e^(0.06*4) for the continuous interest... But how does 'e' get use?
e is just a constant, I don't know it by heart but it's a button on your calculator.
Hint, use natural log to cancel out the damned thing.
5,000 x e^0.24 =
5,000 x 1.27124915 =
=$6,356.25
+1491 
