Answer: $4,000 ⇒ amount invested at 9% and $13,000 ⇒ amount invested at 14%.
Explanation:
Given that,
Bank loaned out = $17,000
Part of it loaned at annual interest rate(r1) = 14%
Interest rate on remaining(r2) = 9%
Total interest earned for both loans was $2,180
Let amount invested at rate of 9% be x,
(r2)x + r1(Total loaned amount - x) = Total interest earned
0.09x + 0.14(17,000 - x) = 2,180
0.09x + 2,380 - 0.14x = 2180
0.05x = 200
x = $4,000 ⇒ amount invested at 9%
Therefore,
17,000 - x ⇒ 17,000 - 4,000 = $13,000 ⇒ amount invested at 14%