You invest 4,400 in an account that pays an interest rate of 6.5 % compounded continuously ,calculate the balance of your account after 3 years .round your answer to the nearest hundreth

This is a problem that deals with exponential growth and the formula for exponential rate problems is: , where a= principal amount, b = rate, and t = time. 

Let's substitute the corresponding values into its appropriate places: the starting amount is $4,400, the rate is 0.065 but we need to add an 1 because it's an exponential growth problem so it would be 1.065, and the time is 3 years. 

Now solve: 
[tex]y = $4,400(1.065)^3[tex]
 $5314.98