To determine how long the franchise agreement is valid based on the given amortization expense, we can use the following formula:
\[ \text{Amortization Expense} = \frac{\text{Total Cost}}{\text{Useful Life}} \]
In this case, the total cost of the franchise license is $25,000, and the first year’s amortization expense is $833. We can rearrange the formula to find the useful life of the franchise:
\[ \text{Useful Life} = \frac{\text{Total Cost}}{\text{Amortization Expense}} = \frac{25000}{833} \approx 30 \]
Therefore, the franchise agreement will be valid for approximately 30 years before it expires.