The amount loaned for 12% annual interest is $ 7,500 and amount loaned for 3% annual interest is $ 18,500 .
Let us assume that the amount loaned for 12% annual interest is x
then amount loaned for 3% annual interest is $ 26,000 - x.
Total Interest = Interest on 12% amount + Interest on 3% amount
[tex]\frac{12}{100}[/tex] × x + (26,000 - x) × [tex]\frac{3}{100}[/tex] = 1,455
0.12x + 0.03 × (26,000 - x) = 1,455
0.12x + 780 - 0.03x = 1,455
0.09x = 1,455 - 780
0.09x = 675
x = $ 7,500
Also, the amount loaned at 3% is 26,000 - 7,500 = $18,500
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