# algebra

posted by .

two investments were made totaling \$15,000. for a certain year these investments yielded \$1432 in simple interest. part of the \$15,000 was invested at 9% and part at 10%. find the amount invested at each rate.

a total of \$1150 was invested, part of it at 12% and part at 11%. the total yield was \$133.75. How much was invested at each rate?

• algebra -

first one:
let the amount invested at 9% be x
let the amount invested at 10% be 15000-x

.09x + .10(15000-x) = 1432
multiply each term by 100
9x + 10(15000-x) = 143200
-x = -6800
x = 6800

so \$6800 were invested at 9% and \$8200 at 10%

do the second question the same way.

• algebra -

90+10(15000-x)=1432000

## Similar Questions

1. ### math

1. Investment. Part of \$25,000 is invested at 10 percent, another part is invested at 12 percent, and a third part is invested at 16 percent. The total yearly income from these three investments is \$3,200. Furthermore, the income from …
2. ### algebra

Could you please answer this? Investment. Part of \$25,000 is invested at 10 percent, another part is invested at 12 percent, and a third part is invested at 16 percent. The total yearly income from these three investments is \$3,200.
3. ### Math

A total of \$11,000 was invested. Part of the \$11,000 was invested at 4% and the rest invested at 7%. If the investments earn \$680 per year, how much was invested at each rate?
4. ### Algebra

I invested \$42,000 in three funds paying 5%, 7%, and 9% simple interest. The total annual interest from these investments was \$2,600. The amount of money invested at 5% was \$200 less than the amount invested at 7% and 9% combined. …
5. ### Math

Two investments are made totaling \$4800. In the first year they yield a total of \$412 in simple interest. Part of the money is invested at 8% and the rest at 9%. Find the amount invested at each interest rate.
6. ### Algebra

A person invested \$7000 for 1 year, part at 5%, part at 10%, and the remainder at 15%. The total annual income from these investments was \$815. The amount of money invested at 15% was \$200 more than the amount invested at 5% and 10% …
7. ### Algebra

A person invested \$7000 for 1 year, part at 5%, part at 10%, and the remainder at 15%. The total annual income from these investments was \$815. The amount of money invested at 15% was \$200 more than the amount invested at 5% and 10% …
8. ### Math

A person invested \$7900 for one year, part at 5%, part at 11%, and the remainder at 15%. The total annual income from these investments was \$965. The amount of money invested at 15% was \$500 more than the amounts invested at 5% and …
9. ### math

Katie invested a total of ​\$6000 ​, part at 3 ​% simple interest and part at 4 ​% simple interest. At the end of 1​ year, the investments had earned ​\$214 interest. How much was invested at each​ rate?
10. ### Algebra

Katie invested a total of \$7,000, part at 2% simple interest, and part at 3% simple interest. At the end of 1 year, the investments earned, \$184.00 interest. How much was invested at each rate?

More Similar Questions