(Solved): The figure below shows the balance, \( P \), in a bank account. (a) Find a possible formula for \( ...

The figure below shows the balance, \( P \), in a bank account. (a) Find a possible formula for \( P=f(t)=a b^{t} \) assuming the balance grows exponentially. Round your answers to three decimal places. \( a= \) and \( b= \) (b) What was the initial balance? Round your answer to two decimal places. Initial Balance \( =\$ \) (c) What annual interest rate does the account pay? \( a= \) and \( b= \) (b) What was the initial balance? Round your answer to two decimal places. Initial Balance \( =\$ \) (c) What annual interest rate does the account pay? Round your answer to three decimal places. The annual interest rate is