You are going to invest $25,000, part at 14% and part at 16%. What is the most that can be invested at 14% to make at least $3600 interest per year? Help please, this has to be an inequality problem.

Question

anonymous · Answer

.16x + .14*(25000 - x) = 3600
.16x + 3500 - .14x       = 3600
                        .02x      = 100
x = 100/.02                  =5000 this is for the 16 %

to find investment at 14%

$25000 - $5000 = $20000

if you say that x= the amount invested at 14%

you have this

.14x + .16*(25000-x) =3600
.14x + 4000 - .16x     =3600
-.02x = -400
x = -400/-.02

  =$20000