Solve the given problems.
A bank account that has continuous compounding at an annual interest rate r has a value
![1176_732f6b34-a33f-428e-9b2c-f5d7d6b58d4c.png](https://secure.tutorsglobe.com/CMSImages/1176_732f6b34-a33f-428e-9b2c-f5d7d6b58d4c.png)
is the original amount invested, and t is the time in years. Show that the account grows at a rate proportional to A. (Continuous compounding means interest is being added continually, rather than after a specified length of time.)