# word problem

An investment of \$93,000 was made by a business club. the investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second earned 6% and the third 9%. total interest from the investments was \$7110. The interest from the first investment was 3 times the interest from the second. Find the amounts of the three parts of th investment??

1. 👍
2. 👎
3. 👁
4. ℹ️
5. 🚩
1. second part --- x
first part ---- 3x
third part --- (93000 - x - 3x) = 93000 - 4x

.08(3x) + .06x + .09(93000-4x) = 7110
.24x + .06x + 8370 - .36x = 7110
-.06x = -1260
x = -1260/-.06 = 21000

second investment = x = \$21000
first investment = 3x = \$63000
third investment = 93000-4x = \$9000

check:
63000(.08) + 21000(.06) + 9000(.09) = 7110

1. 👍
2. 👎
3. ℹ️
4. 🚩
2. for twenty years

1. 👍
2. 👎
3. ℹ️
4. 🚩

## Similar Questions

1. ### Math

Suppose an investment of \$2,300 doubles in value every decade. The function F(X)= 2300 * 2^X gives the value of the investment after x decades. How much is the investment worth after 2 decades? A.)\$2,355,200 B.)\$92,000 C.)\$46,000

2. ### Algebra

A financier plans to invest up to \$500,000 in two projects. Project A yields a return of 11% on the investment of x dollars, whereas Project B yields a return of 16% on the investment of y dollars. Because the investment in

3. ### Management

A small home business is set up with an investment of Birr 1,000,000 for equipment. The business manufactures a product at a cost of Birr 60 per unit. If the product sells for Birr 140, how many units must be sold before the

4. ### math

The balance on a car loan after 4 years is \$8,996.32. The interest rate is 5.6% compounding annually. What was the initial value of the loan? An investment made in the stock market decreased at a rate of 4% per year for 5 years.

1. ### Precalc

An investment of \$37,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the the third 9%. Total interest from

Money is (for obvious reasons) extremely important in our society and has been for several years. Acquiring it, however, can be easier said than done, which is why using investment opportunities can be advantageous. However, like

3. ### Algebra

an investment of 72,000 was made by a business club. the investment was split into three parts and lasted for one year. the first part of the investment earned 8% interest. the second 6% and the third 9%. total interest from the

4. ### Algebra

An investment of \$53,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the

1. ### Algebra

An investment grows according to the exponential equation y = 15,000 · 1.07x, where x is the number of years invested. Which of the following statements is true? A. The investment will continue to grow at a rate of 7% per year

2. ### Algebra investment

An investor had a total of 25,000 put into a portfolio of stocks, bonds, and mutual funds. In one year, he earned 8% on the stock investment, 10% on the bond investment and 6% on the mutual funds investment. The annual(simple

3. ### Algebra

An investment of ​\$54,000 was made by a business club.The investment was split into three parts and lasted for one year.The first part of the investment earned​ 8% interest, the second​ 6%, and the third​ 9%. Total

4. ### Math - PreCalc (12th Grade)

Jake has decided upon three business ventures to invest in. The total cost of investing in all three ventures will be \$15,000. Investing in the first venture will cost \$3,000 more than investing in both the second and the third