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

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