Step 1 :Given the principal amount (P) is $5170.13, the annual interest rate (R) is 7.2% or 0.072 in decimal form, and the time (T) is 83 days or approximately 0.2306 years (assuming a 360-day year).
Step 2 :We can find the simple interest (I) using the formula: \(I = PRT\)
Step 3 :Substituting the given values into the formula, we get: \(I = 5170.13 \times 0.072 \times 0.2306\)
Step 4 :Calculating the above expression, we find that the simple interest is approximately $85.82
Step 5 :Final Answer: The simple interest is \(\boxed{\$85.82}\)