Answer:
The amount invested at 4% is $2,200 and the amount invested at 6% is $8,400
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x ----> the amount invested at 4%
(3x+1,800) -----> the amount invested at 6%
we have that
The interest earned by the account at 4% plus the interest earned by the amount at 6% must be equal to $592
so
The linear equation that represent this situation is
solve for x
therefore
The amount invested at 4% is $2,200 and the amount invested at 6% is $8,400