The interest earned on a $\$ 5000$ term deposit @ 6.25\% was $\$ 280$. Calculate the length of time of the investment. Express your final answer in months.

Step 1 ：We are given that the principal amount is $5000, the annual interest rate is 6.25% or 0.0625 in decimal form, and the interest earned is $280. We are asked to find the length of time the money was invested, in months.

Step 2 ：We can use the formula for calculating interest, which is Interest = Principal * Rate * Time. In this case, we want to solve for Time, so we rearrange the formula to get Time = Interest / (Principal * Rate).

Step 3 ：Substituting the given values into the formula, we get Time = 280 / (5000 * 0.0625).

Step 4 ：Solving this gives us the time in years. However, since we want the time in months, we multiply the result by 12 (since there are 12 months in a year).

Step 5 ：Final Answer: The length of time of the investment is approximately \(\boxed{10.75}\) months.