SOLUTION: 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? PlEaSe HeLp Me SuMbOdy!!! :

Question 50094This question is from textbook Algebra 2 with Trigonometry
: 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?

PlEaSe HeLp Me SuMbOdy!!! :(
the back of the book says $20,000 but i dont get the same answer can u teach me how to do this please!!!!! This question is from textbook Algebra 2 with Trigonometry

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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.
----------------------------------------------------
Let amount invested at 14% be "x".
Interest earned in one year on this investment is 0.14x dollars.
Amount invested at 16% is "25000-x".
Interest earned in one year on this investment is 0.16(25000-x)
= 4000-0.16x dollars.
INEQUALITY:
interest + interest >=3600 dollars
0.14x+4000-0.16x >=3600
-0.02x>=-400
x<=$20,000 (amount to be invested at 14%)
Cheers,
Stan H.
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