A company invests $5000, some into an account paying 5.2% simple interest and the remainder in an account paying 4.5% simple interest per annum. After 2 years the $50000 had grown to $54976. How much went into each account?

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- May 20th 2008, 05:58 AMnirujaCompound interest!

A company invests $5000, some into an account paying 5.2% simple interest and the remainder in an account paying 4.5% simple interest per annum. After 2 years the $50000 had grown to $54976. How much went into each account? - May 20th 2008, 06:02 AMcolby2152
At time zero, you have:

Where as they are percents of the principal that is invested. We'll say x% earns 5.2% simple interest.

After two years we should have:

Dividing by 50000 gives us:

We also know that , so now we have two equations with two unknown variables. I believe you can now solve for x and y.