Question 1083418
the short term note pays 12% interest per year.
the long term note pays 9% interest per year.


the total interest per year is 145,000.


let x = the amount of the short term loan.
let y = the amount of the long term loan.


x + y = 145000


.12x + .09y = 15450


you have 2 equations that needs to be solved simultaneously.


they are:


x + y = 145000
.12x + .09y = 15450



assuming you know how to solve equations simultaneously, i'll just do this graphically and show you the result.


the intersections of the lines of both equations shows the solution.


that occurs when x = 80000 and y = 65000


80000 + 65000 = 145000


.12*80000 + .09*65000 = 15450


this is what the graph looks like:


<img src = "http://theo.x10hosting.com/2017/060107.jpg" alt="$$$" </>


if you do not know how to solve equations simultaneously, here's a good reference.


<a href = "http://www.purplemath.com/modules/systlin1.htm" target = "_blank">http://www.purplemath.com/modules/systlin1.htm</a>