SOLUTION: you invested 4000 in 2 stocks. one is 5% and the other 7% annual interest. At the end of the year total interest was 230. how much was invested at each rate?

Question 306785: you invested 4000 in 2 stocks. one is 5% and the other 7% annual interest. At the end of the year total interest was 230. how much was invested at each rate?
Answer by texttutoring(324) (Show Source): You can put this solution on YOUR website!
Let x=amount invested at 5%
Let y=amount invested at 7%

Equation 1: x+y=4000
Equation 2: 0.05x + 0.07y=230

Isolate for y in Eqn. 1 and substitute it into Eqn 2:

y=4000-x

Put this value of y into Eqn 2 instead of y:

0.05x+0.07(4000-x) = 230
0.05x +280-0.07x = 230
-0.02x = -50
x=2500

Plug this value of x into Eqn 1 to solve for y:

x+y=4000
y=4000-x
y=4000-2500
y=1500

So $2500 was invested at 5%, and $1500 was invested at 7%.
RELATED QUESTIONS
You invested $10,000 in two stocks paying 9% and 12% annual interest, respectively. At (answered by checkley75,DarkOnyx)

You invested 10,000 in two stocks paying 8% and 10% annual interest. At the end of the... (answered by addingup)

You invested $10,000 in two accounts, one paying 8% and the other account paying 10%... (answered by Boreal,stanbon)

You invested $ 4000 between two accounts paying 2 % and 7 % annual interest,... (answered by greenestamps)

you inherit $70,000 and plan to invest the money in two stocks paying 4% and 10% annual... (answered by mananth)

Harry has $4000 invested in 2 savings accounts. One account earns 6% interest per year,... (answered by 1guru)

If someone invests $3000 at 5% annual interest and $4000 at 6% annual interest, how much... (answered by stanbon)

You invested $10,000 in two funds paying 4% and 5% annual interest. At the end of year... (answered by addingup)

the total interest earned after one year Php 100 000 is invested, part of 6% annual... (answered by greenestamps)