The interest pakt on an it-month kean at 10(1)/(4)% 328.85 What was the policeman answer of the eriginal hoan? (Do not round intermediate cakulations. answer to 2 decimal places) Criginal principal

## Step 1: Convert the interest rate and time to usable forms### The interest rate is given as . Convert this to a decimal: . The time is given as 11 months. Since the interest rate is annual, convert the time to years: years.## Step 2: Calculate the original principal### We are given the simple interest formula , where is the interest, is the principal, is the rate, and is the time. We are given 328.85 r = 0.1025 t = \frac{11}{12} p p = \frac{i}{rt} p = \frac{328.85}{(0.1025)(\frac{11}{12})} = \frac{328.85}{0.093958333} \approx 3500$.