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<br />### The interest rate is given as $10\frac{1}{4}\%$. Convert this to a decimal: $10.25\% = 0.1025$. The time is given as 11 months. Since the interest rate is annual, convert the time to years: $\frac{11}{12}$ years.<br /><br />## Step 2: Calculate the original principal<br />### We are given the simple interest formula $i = prt$, where $i$ is the interest, $p$ is the principal, $r$ is the rate, and $t$ is the time. We are given $i = \$328.85$, $r = 0.1025$, and $t = \frac{11}{12}$. We need to solve for $p$. The formula can be rearranged to $p = \frac{i}{rt}$. Substituting the given values: $p = \frac{328.85}{(0.1025)(\frac{11}{12})} = \frac{328.85}{0.093958333} \approx 3500$.