Explanation:

- To find the rate of interest, use the compound interest formula: $$A = P(1 + \frac{r}{100})^n$$

- Here, \(A\) is the final amount, \(P\) is the principal amount, and \(n\) is the number of years.

- Given: \(A = 16,767\), \(P = 14,375\), and \(n = 2\).

- Substitute these into the formula: $$16,767 = 14,375(1 + \frac{r}{100})^2$$

- Simplify to: $$(1 + \frac{r}{100})^2 = \frac{16,767}{14,375}$$

- Calculate the right side: $$1.1667 \approx 1.167$$

- Now, take the square root: $$1 + \frac{r}{100} \approx 1.08$$

- Solve for \(r\): $$r \approx 8\%$$

- Option 2: 8 is the correct answer.

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