Answer:
Amelia will invest $2800 and $6200 in the two accounts.
Step-by-step explanation:
Let us assume that Amelia has invested $x and $y in the two accounts respectively.
So, x + y = 9000 ...... (1)
Again the total interest is $580 for investing $x in 3% annual interest and $y in 8% annual interest.
Hence,
⇒ 3x + 8y = 58000 ..... (2)
Now, solving equations (1) and (2) we get,
5y = 58000 - ( 9000 × 3 )
⇒ 5y = 31000
⇒ y = 6200
Hence, from equation (1) , x = 9000 - 6200 = 2800
Therefore, Amelia will invest $2800 and $6200 in the two accounts. (Answer)