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**Jhevon** Recall that Simple Interest = Principle * Rate * Time

The interest gained here is, of course, 54976 - 50000 = 4976

So now we set up our simple interest equations. we have two accounts, so we must have a sum of the two simple interests giving 4976

Thus we have: $\displaystyle Principle_1 * Rate_1 * Time + Principle_2 * Rate_2 * Time = 4976$

so let's say the first account is the one that gives 5.2% interest. And let's say we invest $\displaystyle x$ dollars into this account. what do we have remaining? well, $\displaystyle (50000 - x)$ dollars, of course.

so our equation becomes:

$\displaystyle x*5.2 \% * 2 + (50000 - x)*4.5 \% *2 = 4796$

or $\displaystyle 2(0.052)x + 2(0.045)(50000 - x) = 4796$

now solve for $\displaystyle x$, that will be the amount you invested into the first account. then subtract that answer from 50000 to find how much you invested into the second account