Question

I really need help understanding this question please. I believe its dealing with inequalities. 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?

Answer 1

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%)

Answer 2

where did the 4000 come from?

Answer 3

@ILoveMath3006

Answer 4

.14x +.16(25000-x) >= 3600

.14x +4000 -.16x >=3600

-.02x>=-400

x<=20000

$20 000

Well let me put it like this

Answer 5

As you see, the 4000 come from .16(25000-x)

Answer 6

oh okay.

Answer 7

thank you

Answer 8

Np