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% in order to make at least $3000 interest per year?

Question 221206: You are going to invest $25,000, part at 14% and part at 16%. What is the most that can be invested at 14% in order to make at least $3000 interest per year?
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Let x = amt at 14% and y = amt at 16%
.
.14x +.16y = $ 3000
.
but,,,x+y=$ 25,000,,,,,,,or y=25,000 -x,,,,,subst
.
.14x + .16(25,000-x) = 3000
.
.14x + 4,000 - .16x = 3000
.
- .02 x = -1000
.
x= $ 50,000,,,,,y= - $ 25,000
.
Checking,,, 50000(.14) - 25000(.16) = 7000 - 4000 = 3000,,,math correct BUT
.
,
To make $ 3000 from $ 25,000,, need return of 3000/25000= .12 or 12 % ,,,only
.
.
The real question is how much at 14 % = $ 30,000
.
.14 * x = $3000,,,,x= 3000/ .14 = $ 21,428.57
.
.
.
If we invested all at 16%, we would invest,,,y= 3000/.16 = $ 18,750
.

RELATED QUESTIONS
You are going to invest $20, 000, part at 12% and part at 16%. What is the most that can (answered by mananth)

You are going to invest $30,000, part at 9% and part at 14%. What is the most that can be (answered by checkley77,nyc_function)

You are going to invest $25,000.00, part at 14% and part at 16%. What is the most that... (answered by anjulasahay)

You are going to invest $25,000, part at 14% and part at 16%. What is the most that can... (answered by mananth)

You are going to invest $25,000,part at 14% and part at 16%. What is the most that can be (answered by stanbon)

Kyle plans to invest $7500.00, part at 4% simple interest and the rest at 5% simple... (answered by jorel1380)

Lillian is about to invest $20,000, part at 3% and the rest at 4%. What is the most that... (answered by mananth)

Lillian is about to invest $20,000, part at 6% and the rest at 8%. What is the most that (answered by Fermat)

kyle plans to invest $8500, part at 4% simple interest and the rest at 5% simple interes... (answered by lwsshak3)