1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oxana [17]
3 years ago
11

You invest a total of $5800 in two investments earning 3.5% and 5.5% simple interest. Your goal is to have a total annual intere

st income of $283. Write a system of linear equations that represents this situation where x represents the amount invested in the 3.5% fund and y represents the amount invested in the 5.5% fund. Solve this system to determine the smallest amount that you can invest at 5.5% in order to meet your objective.
Mathematics
1 answer:
attashe74 [19]3 years ago
4 0
The annual interest that can be earned through investment of an amount at a simple interest can be calculated through the equation,
                I  = P x (i)
where I is interest, P is the principal amount, and i is the decimal equivalent of the interest. 

Let x be the amount deposited with 3.5% interest. With this representation, the amount deposited with 5.5% is 5800 - x. 

The linear equation that would represent the given scenario is,
        x(0.035) + (5800 - x)(0.055) = 283

Simplifying the equation,
 
       0.035x + 319 - 0.055x = 283

Combining like terms,
           -0.02x = -36
Dividing by -0.02,   
               x = 1800
             $5800 - x = $5800 - $1800 = y
                   y = $4000

Hence, the value that should be deposited to the 5.5% is $40000.   
You might be interested in
Can anyone help with 1-10
Alex787 [66]

Answer:

1. E

2. A

3. B

4. AB

5. E

6. D

7. BC

8. CD

9. A

10. C

Step-by-step explanation:

6 0
3 years ago
Which of the following correctly describes the sum below?
Norma-Jean [14]
Your answer is A hope this helps 
5 0
3 years ago
Answers to the worksheet how did the light dress up in costume party
asambeis [7]
Neon \left \{ {{y=2} \atop {x=2}} \right.
4 0
3 years ago
Complete each trinomial such that it can be rewritten in the form a(x+b)^2 or a(x-b)^2
scoundrel [369]

The value of the expression  in the form a(x+b)^2 is 1.5(x+2)^2 - 4

<h3>Vertex Form of a quadratic expression</h3>

Given the quadratic expressions

1.5x^2+6x+......

1.5(x^2 + 4x)

Using the completing the square method

The coefficient of x = 4

Half of the coefficient = 4/2 = 2

The square of the result = 2^2 = 4

The equation is expressed as:

f(x) = 1.5(x^2+4x+ 4) - 4

f(x) = 1.5(x+2)^2 - 4

Hence the value of the expression  in the form a(x+b)^2 is 1.5(x+2)^2 - 4

Learn more on completing the square method here: brainly.com/question/1596209

6 0
2 years ago
How to find the line of reflection between two points?
eimsori [14]
Use the midpoint formula.
(x1+x2)/2 , (y1+y2)/2 
Then you should be able to find the reflection line based on where the middle of the two points are.
3 0
3 years ago
Other questions:
  • What does these symbols mean ?&lt; &gt;
    15·2 answers
  • Of the birds in Monica's pet shop, 1/5 are pigeons. Of the pigeons, 1/3 are white. Look at each expression. Can it be used to fi
    13·1 answer
  • A certain species of tree grows an average of 4.2 cm per week. write an equation for the sequence that represents the weekly hei
    12·1 answer
  • Will mark brainliest
    12·2 answers
  • Find the equation of the line
    14·1 answer
  • Multiple choice, plz help
    9·1 answer
  • What is the quotient of the following division problem?
    9·1 answer
  • Pick one and answer please (u only have to answer one)
    7·2 answers
  • Can i please get help now
    6·1 answer
  • Solve for x and round to nearest tenth &lt;3
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!