A sum of money invested at 5% per annum simple interest amounts to $285.20 after 3 years. How long will it take the same sum to amount to $434.00 at 7\(\frac{1}{2}\)% per annum simple interest?
A. 7\(\frac{1}{2}\) years B. 10 years C. 5 years D. 12 years E. 14 years
