SOLUTION: What is the total interest earned after one year when $100,000 is invested, part at 6% annual interest rate and the remaining part at 7.5% annual interest rate

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Question 976729: What is the total interest earned after one year when $100,000 is invested, part at 6% annual interest rate and the remaining part at 7.5% annual interest rate
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x = amount of money invested at 6%
y = amount of money invested at 7.5%

x+y = 100,000
y = 100,000 - x

Interest Earned for the 6% account = 0.06x
Interest Earned for the 7.5% account = 0.075y = 0.075(100,000 - x) = 7500 - 0.075x

Add up the amounts:
0.06x+0.075x = 0.135x

So we can get as far as 0.135x. We can't go any further unless we know either x or y.