Let us say that the amount needed to open an account is uniformly 10,000 in both methods and increases 10% annually and increases 1% per 1000. Original amount = 10, 000 ~ 10% 
1. Harrison  
 10% ~ increases 1% per 1000 
 Money = 11, 000 
Total Interest = 11% 
After 2 years = 11,000 x 0.22 = 2420 + 11,000 = 13, 420 
2. Sherrie 
10, 000 ~ 11% 
 Money = 10, 000 
Total Interest = 11% 
After 2 years = 10, 000 x 0.22 = 2200 + 10, 000 = 12, 200 
Hope this is right. What matters is the values the original values and the change in values, it really will depend on the numbers given.