# pre-calculus

posted by .

\$100,000 is divided into two investments with annual returns of 4% and 7.5%. find the amount invested at the lower rate if the total income at the end of the year is \$5050?

• pre-calculus -

amount invested at 4% --- x
amount invested at 7.5% -- 100000-x

solve for x:
.04x + .075(100000-x) = 5050

• pre-calculus -

solve for x and express the solution in a+bi form : ix^2-3x+4i=0

• pre-calculus -

You sure this is right?

ix^2 - 3x - 4i = (ix+1)(x-4i)
but that's not what we have.

So, using the good old quadratic formula,

x = (3 ± √5)]/2i

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### accounting

Mr. and Mrs. Garcia have a total of \$ 100,000 to be invested in stocks, bonds, and a money market account.The stocks have a rate of return of 12%/ year, while the bonds and the money market account pay 8% and 4%/ year, respec-tively. …
2. ### algebra

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 …
3. ### pre-calculus

\$100,000 is divided into two investments with annual returns of 4% and 7.5%. find the amount invested at the lower rate if the total income at the end of the year is \$5050?
4. ### math

Two investments earn a total annual income of \$2825. One investment is in a 6.75% annual simple interest certificate of deposit. The other is in a 7.25% tax free annual simple interest account. The total amount invested is 40,000. …
5. ### maths

an amount of Rs 5000 is put into three/investments at the rate of interest of 6%, 7%, 8% per annum respectively; the total annual income is Rs 35800. If the combined income from first two investments is Rs 70 more than the income from …
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. ### lim

I'm completely drawing a blank on how to do this. A woman has \$500,000 invested into two real estate properties. One yields an annual return on 12% and the other returns 15% per year on her investment. Her total annual return from …
9. ### college algebra

I'm completely drawing a blank on how to do this. A woman has \$500,000 invested into two real estate properties. One yields an annual return on 12% and the other returns 15% per year on her investment. Her total annual return from …
10. ### 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 …

More Similar Questions