Final answer:
To find the amount borrowed, use the formula Principal = Amount / (1 + (interest rate * time)). After plugging in the given values, the principal is approximately $825.
Step-by-step explanation:
To find the amount borrowed, we need to calculate the principal that will accumulate to $900 after 16 months with interest.
The formula for calculating the principal is:
Principal = Amount / (1 + (interest rate * time))
Plugging in the given values and solving the equation:
Principal = $900 / (1 + (0.068 * 16/12))
Principal = $900 / (1 + 0.0907)
Principal = $900 / 1.0907
Principal ≈ $825
Therefore, the amount borrowed is approximately $825, so the correct answer is (b) $825.