Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Solve each problem by using a system of three equations inthree unknowns.

Ann invested a total of 12,000 dollars in stocks,bonds, and a mutual fund. She received a 10 \% return on her stock investment, an 8 \% return on her bond investment, and a 12 \% return on her mutual fund. Her total return was 1230 dollars. If the total investment in stocks and bonds equaled her mutual fund investment, then how much did she invest in each?

$\$ 1500$ stocks, $\$ 4500$ bonds, $\$ 6000$ mutual fund

Algebra

Algebra 2

Chapter 4

Systems of Linear Equations

Section 3

Systems of Linear Equations in Three Variables

Polynomials

Systems of Equations and Inequalities

Introduction to Algebra

Graph Linear Functions

Write Linear Equations

Linear Equations and Functions

Matrices and Determinants

University of Texas at Austin

University of California, Berkeley

University of Washington

University of Michigan - Ann Arbor

Lectures

09:38

In mathematics, an absolut…

01:43

In mathematics, an equatio…

03:53

Solve each problem by usin…

01:56

Write a system of two equa…

04:16

Show a complete solution t…

02:36

05:39

Use the four-step strategy…

04:42

02:50

01:55

03:39

Solve each investment prob…

05:26

So we have another word from someone who invest in stocks, bonds, mutual funds. It's all the EU's s. The in app. We know that the total Fininvest's people's em he was 12,000. You know that her total return with his 0.10 ass plus 0.0 a b plus 0.1 to have you know that equals 12 30. And finally, we know that the total match divest invest in stocks and bonds equals the amount to be invested in because it says if the total investment of stocks and bonds equal to a mutual fund investment So now we have a system of equations that we can solve weaken immediately, substitute in for s plus B equals AB right here. That's gonna give us two AM equals 12,000 before, um, equals 6000. We've em. We can put that in here and here. 12,000. And now we can solve for the other do very books. So we're gonna have, um, s equals 6000 minus b 00 times 6009 b plus point B plus, but 1 to 6007. Plenty equals 12. 30. Give us 100 minus 0.1 b plus point eat be you fools. 12 30 minus 7 20 five. And it's a fact that, um, 600 you get minus 90 and then this is gonna be the negative 0.2 So therefore be is gonna be 90 about about pointy or to be 4500 you could be. And then, you know, ass is your 6000 minus stop. So that's gonna be 1500. So now we know SB. I'm honored as an order triple, so it's cause it's a little messy. We know X equals 1500. This is all dollars. We know that B equals 4500 and you know that I am equals 6000. So there's your answer.

View More Answers From This Book

Find Another Textbook

In mathematics, an absolute value or modulus is the value of a number withou…

In mathematics, an equation is a statement that two mathematical expressions…

Solve each problem by using a system of three linear equations in three vari…

Write a system of two equations in two unknowns for each problem. Solve each…

Show a complete solution to each problem.Splitting investments. Joan had…

Write a system of two equations in two variables to solve each problem.I…

Use the four-step strategy to solve each problem. Use $x, y,$ and $z$ to rep…

Write a system of two equations in two variables to solve each problem.R…

Solve each investment problem. See Example 4 See the Strategy for Solving Wo…

00:59

Simplify each complex fraction. Use either method.$$\frac{\frac{1}{2}-\f…

01:20

Simplify the complex fractions. Use Method B.$$\frac{\frac{x}{2}-\frac{1…

01:01

Reduce each rational expression to its lowest terms.$$\frac{3 a+3}{3}$$<…

01:05

Simplify each expression.$$5 w-2+4(w-3)-6(w-1)$$

00:31

Perform the indicated operations vertically.Subtract$$\begin{array}{…

06:24

Graph each hyperbola. Give the domain, range, center, vertices, foci, and eq…

00:18

Write each number in standard notation. See Example 7.See the Strategy f…

00:56

00:30

$$\left(a^{2} b^{-3}\right)^{2}$$

00:39

Factor each polynomial.$$121 a^{2}-b^{2}$$

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.