Tim deposits money in a certificate of deposit account. the balance (in dollars) in his account t years after making
the deposit is given by t(t) = 1000(1.06)t for t ≥ 0
a. explain, in terms of the structure of the expression used to define t(t), why tim’s balance can never be $999

The minimum balance is $ 1,000

Step-by-step explanation:

According to the expression used to define the balance in Tim's account, at time t = 0:

Then, the initial balance in Tim's account is 1000 dollars. One year later, the balance in Tim's account will be:

And each subsequent year, the balance will increase in a factor of 1.06. The minimum balance in Tim's account is 1000, and there is no possibility that the balance could be less than that amount of money.    

step-by-step explanation: