# annual interest

you invested 12000 in two accounts paying 5% and 7% annual interest. If the totak interest earned for the year was 760 how much was invested at each rate?

1. 👍
2. 👎
3. 👁
1. 12000*0.05=600
12000*0.07=840
Proportion at 5% = (840-760)/(840-600)=1/3
Proportion at 7% = (760-600)/(840-600)= 2/3 (or 1-1/3=2/3)
(1/3) of 12000 = 4000 at 5%
(2/3) of 12000 = 8000 at 7%

1. 👍
2. 👎
2. or
amount invested at 5% --- x
amount invested at 7% --- 1200-x

.05x + .07(12000-x) = 760
5x + 7(12000-x) = 76000
-2x = -8000
x = 4000 at 5% , then 12000-4000 or 8000 at 7%

1. 👍
2. 👎

## Similar Questions

1. ### math

you invested \$8000 between two accounts paying 7% and 9% annual interest, respectively. If the total interest earned for the year was \$600 how much was invested at each rate?

2. ### algebra

sam saved his money until he had \$10000 to invest.he invested x dollars into certificate of deposit (cd) with an annual interest rate of 2% and the remaining y dollars into a mutual fund with annual interest of 1.5% total interest

3. ### algebra

A total of \$12,000 is invested in two funds paying 9% and 11% simple interest. If the yearly interest is \$1,180, how much of the \$12,000 is invested at each rate? We have two unknowns: the amount of money invested at 9% and the

4. ### algebra

You invested ​\$27,000 in two accounts paying 2% and 3% annual​ interest, respectively.If the total interest earned for the year was \$ 800, how much was invested at each​ rate?

1. ### algebra

Dilbert invests a total of \$14,000 in two accounts paying 9% and 15% simple interest, respectively. How much was invested in each account if, after one year, the total interest was \$1,350.00. A) Enter an equation that uses the

2. ### Math

You invested \$14,000 in two accounts paying 5% and 9% annual interest, respectively. If the total interest earned for the year was \$820, how much was invested at each rate?

3. ### 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

4. ### 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

1. ### mat h

ms. buxx invested a total of \$2000 in two savings accounts. The first account pays 3% interest per year and the second account pays 5% interest per yera. If the interest from both accounts totals \$84 per yera, how much is invested

2. ### math

A total of \$32000 is invested in two municipal bonds that pay 5.75% and 6.25% simiple interest. The investor wants an annual interest income of \$1900 from the investments. What amount should be invested in the 5.75% bond?

3. ### Math

Larry Mitchell invested part of his \$27,000 advance at 5% annual simple interest and the rest at 2% annual simple interest. If his total yearly interest from both accounts was \$720â€‹, find the amount invested at each rate

4. ### 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