# math

posted by .

Wendy invested \$6500.00 into two bank accounts, one paying 4% simple interest and the other paying 6%. If her annual interest from the two accounts is \$344, how much did she invest at 6%?

• math -

x = 4%, y = 6%

x + y = 6500

0.04x + 0.06y = 344

x + y = 6500
4x + 6y = 34400

y = 6500 - x

4x + 6(6500-x) = 34400

4x + 3900 -6x = 34400
-2x + 39000 = 34400

-2x + 39000 -39000 = 34400-39000

-2x = -4600

x = 2300
y = 4200

• math -

Thank you, Kuai!!!

## Similar Questions

1. ### Math

A man invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. He puts twice as much in the lower-yielding account because it is less risky. His annual interest is \$11000 dollars. How much …
2. ### Intermidiate algebra

a woman ivests in two bank accounts, one with a 3% percent interest and the other paying 9% simple interest per year.She puts twice as much in the lower account. Her annual interest is 7110. How much did she invest in each account?
3. ### Math

Paula invested into two accounts; one pays 5% simple interest and the other 6% simple interest. She invested \$3000 more in the account paying 6% than in the other account 5%. At the the end of the first year, Paula total return was …
4. ### Algebra

A man invests his savings in two accounts, one paying 6 percent and the other paying 10 percent simple interest per year. He puts twice as much in the lower-yielding account because it is less risky. His annual interest is 418 dollars. …
5. ### Math

An investor must invest a total of \$15,000 in two accounts, one paying 4% annual interest, and the other 3%. If he wants to earn \$550 annual interest, how much should he invest at each rate?
6. ### algebra

has inherited \$15,000 that she wants to invest in two separate accounts, one paying 4% and one paying 3% annual interest. If the total interest earned for a year is \$550, how much should she invest at each rate?
7. ### math

Jose invests money in two simple interest accounts. He invests twice as much in an account paying 10% as he does in an account paying 7%. If he earns \$94.50 in interest in one year from both accounts combined, how much did he invest …
8. ### Essex

An investment club placed \$33,000 into two simple interest accounts. On one account, the annual simple interest rate is 6.5%. On the other, the annual simple interest rate is 4.5%. How much should be invested in each account so that …
9. ### math

An investment club placed \$36,000 into two simple interest accounts. On one account, the annual simple interest rate is 8.5%. On the other, the annual simple interest rate is 3.5%. How much should be invested in each account so that …
10. ### math

12.​ You has investments totaling \$8000 in two accounts: a savings account paying 5% interest, and the other a bond paying 8% interest. If the amount of interest after one year from both investments was \$600, how much did you invest …

More Similar Questions