Tina wants to save money for school. Tina invests $1,100 in an account that pays an interest rate of 7.25%. How many years will it take for the account to reach $6,600? Round your answer to the nearest hundredth.

The amount of Tina money can be expressed in an exponent function like this:

an = $1100 (1.0725) ^n

The variable an represent the total money and variable n is the years needed to achieve that amount.

Then, the time needed for the money to reach $6,600 would be:

an = $1100 (1.0725) ^n

$6,600 = $1100 (1.0725) ^n

$1,100 (6) = $1100 (1.0725) ^n

6 = (1.0725) ^n

n = log1.075 6

n = 24.78