SOLUTION: a portion of $7000 is invested in a CD earning 4% and the remainder is in a savings bond earns 7%. if total interest earned after one year is $420, how much money was invested at e

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Question 315672: a portion of $7000 is invested in a CD earning 4% and the remainder is in a savings bond earns 7%. if total interest earned after one year is $420, how much money was invested at each rate? What is the formula for this problem?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There's no formula, you need to set up a linear system of equations.
Let A be the amount at 4%, B the amount at 7%.
The total amount invested,
1.A%2BB=7000
The interest received,
0.04A%2B0.07B=420
2.4A%2B7B=42000
Multiply eq. 1 by (-4) and add to eq. 2 to eliminate A and solve for B,
-4A-4B%2B4A%2B7B=-28000%2B42000
3B=14000
highlight%28B=4666.67%29
Then from eq. 1,
A%2B4666.67=7000
highlight%28A=2333.33%29