Final answer:
The time period of the loan is 4 years.
Step-by-step explanation:
To find the time period of the loan, we can use the simple interest formula:
I = P * r * t
where:
I is the total interest
P is the principal amount
r is the interest rate (as a decimal)
t is the time period
In this case, Dave borrowed $7200 at an interest rate of 9%, and eventually repaid $9792. The interest can be found by subtracting the principal from the total amount repaid:
I = $9792 - $7200 = $2592
Plugging in the values into the formula, we get:
$2592 = $7200 * 0.09 * t
Simplifying the equation:
t = $2592 / ($7200 * 0.09)
t = $2592 / $648
t = 4 years