Exponential

Question

The balance of a bank account after t years is given by the formula B=9000e^.074t. If the formula B is written B=9000b^t, find b exactly, and give the value of b correct to four decimal places.

Answer 1

e^(.074t)  can be written as (e^(.074))^t

 

this can be done because when you have a power to a power, you multiply powers

 

thus, we can write the answer as B = 9000b^t  as long as b = e^.074 =  1.0768