Posted by **Mbaintu** on Monday, January 21, 2013 at 1:49pm.

You have $6000 to invest in two stock funds. The first fund pays 5% annual interest and the second account pays 9% annual interest. If after a year you have made $380 in interest, how much money did you invest in each account?

- Algebra 1 -
**Henry**, Tuesday, January 22, 2013 at 8:05pm
I = P*r1*t+P*r2*t = $380.

I = P1*.05*1+P2*.09*1 = 380

0.05P1 + 0.09P2 = 380.

Multiply both sides by 100:

Eq1: 5P1 + 9P2 = 38000.

Eq2: P1 + P2 = 6000.

Multiply Eq2 by -5:

5P1 + 9P2 = 38000

-5P1 + -5P2 = -30000

Add the 2 Eqs and

- Algebra 1 -
**Henry**, Tuesday, January 22, 2013 at 8:21pm
I = P*r1*t+P*r2*t = $380.

I = P1*.05*1+P2*.09*1 = 380

0.05P1 + 0.09P2 = 380.

Multiply both sides by 100:

Eq1: 5P1 + 9P2 = 38000.

Eq2: P1 + P2 = 6000.

Multiply Eq2 by -5:

5P1 + 9P2 = 38000

-5P1 + -5P2 = -30000

Add the 2 Eqs:

4P2 = 8000

P2 = $2000 = Investment @ 9%.

In Eq2, substitute 2000 for P2:

P1 + 2000 = 6000

P1 = $4000 = Investment @ 5%.

- Algebra 1 -
**Mbaintu**, Friday, January 25, 2013 at 6:37pm
thank you so much

## Answer this Question

## Related Questions

- pre-algebra - You split $1500 between two savings accounts. Account A pays ...
- algebra - An investor wants to receive $1,000 dollars annually from two ...
- Math - A woman has money in two accounts. One account pays 7% annual interest, ...
- math - This problem has to do with exponential models. The question says, you ...
- math - Suppose that you deposit $1735.50 in a savings account that pays 9.25% ...
- algebra 1 - Amanda invested a total of $3,600 into three separate accounts that ...
- math - Luis put $800 in his saving account whichs pays 6% annual interest How ...
- Math Personal Finance - Assume we invest $2000 for one year in a savings account...
- Math - Becky has saved $4500. She would like to earn $325 per year, by ...
- intermediate algebra - A woman has a total of $9,000 to invest. She invests part...