Respuesta :
$8250 was loaned at 6% per year.
Explanation
Total amount of loan is $19,000
Suppose, the amount of loan at 6% per year is [tex]x[/tex]
So, the amount of loan at 14% per year will be : [tex](19000-x)[/tex] dollar.
Amount of interest in one year at 6% [tex]= x*0.06 = 0.06x[/tex] dollar and amount of interest in one year at 14% [tex]=(19000-x)*0.14=(2660-0.14x)[/tex] dollar.
As the total interest received in one year is $2000, so.....
[tex]0.06x+(2660-0.14x)=2000\\ \\ -0.08x=2000-2660\\ \\ -0.08x=-660\\ \\ x=\frac{-660}{-0.08}=8250[/tex]
So, $8250 was loaned at 6% per year.
