Answer:
$1,000; $34,000
Explanation:
Total investment = $35,000
Total yearly interest from both accounts = $3,100
Let the amount invested at 4% be x,
Amount invested at 9% = $35,000 - x
Simple interest = Principle × Rate of interest × Time period
$3,100 = (x × 0.04 × 1) + [($35,000 - x) × 0.09 × 1]
$3,100 = 0.04x + ($35,000 × 0.09) - 0.09x
$3,100 = 0.04x + $3,150 - 0.09x
0.05x = $50
x = $1,000
Therefore,
Amount invested at 4% = x = $1,000
Amount invested at 9% = $35,000 - x
= $35,000 - $1,000
= $34,000
