Final answer:
The simple interest for a loan of $3800 at an interest rate of 18.4% for 6 months (0.5 years) is b)$349.60.
Step-by-step explanation:
To calculate the simple interest accrued on a loan, you can use the formula: Interest = Principal × Rate × Time. The principal is the amount borrowed, the rate is the interest rate as a decimal, and the time is the period of the loan in years.
Given that the student has borrowed $3800 at an interest rate of 18.4% for 6 months (0.5 years), the calculation would be as follows:
Interest = $3800 × 0.184 × 0.5
Interest = $350.40
Therefore, the correct answer is b) $349.60, when rounded to the nearest cent.