The rule of the simple interest is

P is the initial amount
R is the rate in decimal
T is the time
Assume that she invested $x in the account that paid 3% simple interest
then she invested x - 4400 dollars in the account that paid 4% simple interest
Then let us find each interest, then add them, equate the sum by 592

Let us simplify it


Since the total interest is $592, then

Add the like terms on the left side

Add 176 to both sides

Divide both sides by 0.07 to find x

Then She invested about 10971 dollars in the account of 3%
Since 10971 - 4400 = 6571
Then she invested about