# 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 the two investments is \$64,500. If X represents 12% investment and Y represents 15% investment...

a. write an equation that states that the sum of the investments is equal to \$500,000

x+y=500,000

b. What is the annual return on the 12% investment?

c. What is the annual return on the 15% investment?

d. write an equation that states the sum of the annual returns is \$64,000.

12x+15y=64,500

e. solve the problem simultaneously to find how much is invested in each property.

1. 👍 0
2. 👎 0
3. 👁 121
1. b) .12x
c).15y

.12x + .15y = 64500
times 100
12x + 15y = 6450000
divide it by 3
4x + 5y = 2150000
first equation times 4
4x + 4y = 2000000
subtract them:
y = 150,000
then x = 350,000

check:
.12(350000) + .15(150000) = 64500

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### 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

asked by Jess on February 9, 2016
2. ### Math

I really need help with this question please Break-even equation. Fill in the blank. The following table contains selected data concerning several outpatient clinics in the new Ambulatory Care Center at Hope University Hospital.

asked by Mae on August 14, 2013
3. ### statistics

According to Advertising Age, the average base salary for women working as copywriters is \$66,000. Assume that the salaries are normally distributed and that the standard deviation is \$7,500. a. What is the probability of a woman

asked by petrit on June 25, 2013
4. ### Math

I am sorry I didn't complete the problem Here is the question: Doris invested some money at 7% and some money at 8%. She invested \$6,000 more at 8% than she did at 7%. Her yearly total from the two investments was \$7.80. How much

asked by Marcus on July 1, 2014

complete to show how you can find the sum by making a ten, hundred, or thousand. 9+5=14 9+1+ blank 10+ blank blank 90+50=140 90+10+blank 100+blank blank 900+500=1400 900+100+blank 1000+blank blank

asked by thomas on September 29, 2010
6. ### Algebra

A woman invested some money at 8% and some at 9% annual simple interest. The interest for 1 year on the combined investment of \$10,000 was \$860. How much was invested at each rate?

asked by Raquel on July 7, 2016
7. ### 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?

asked by Angela on December 10, 2010
8. ### algebra 1

8x-(2x+7)=23I am completely drawing a blank as to how I am suppose to solve this. Can someone offer the first step?

asked by Cynthia on November 16, 2010
9. ### Algebra 2

Introduction to quadratic equations? If you solve the equation by completing the square, fill in the blanks. 9x^2+9x+4=0 x^2+x+blank=-4/9+blank

asked by Chelsea:) on April 24, 2012
10. ### help

Introduction to quadratic equations? If you solve the equation by completing the square, fill in the blanks. 9x^2+9x+4=0 x^2+x+blank=-4/9+blank

asked by Chelsea:) on April 20, 2012

More Similar Questions