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
Anika [276]
3 years ago
13

Paul has $20,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8% interest

and part at 12% interest. How much does Paul need to invest in each option to make get a total 11% return on his $20,000?
Mathematics
1 answer:
hjlf3 years ago
8 0

Answer:

In the 8% option , $5,000 should be invested

In the 12% option, $15,000 should be invested

Step-by-step explanation:

Let’s start with the total return.

Since the total return expected is 11%, the amount expected to be returned will be;

11/100 * 20,000 = $2,200

Now, let the amount invested at 8% interest be $x while the amount invested at 12% interest be $y

Mathematically;

x + y = 20,000 ••••••(i)

Now let’s work with the interest part;

On the 8% part, amount of interest expected is 8/100 * x

on the 12% part, amount of interest expected is 12/100 * x

8% of $x + 12% of $y = 2,200

Writing this fully mathematically, we have;

(8/100 * x) + (12/100 * y) = 2,200

8x/100 + 12y/100 = 2,200

Multiply through by 100

8x + 12y = 220,000 ••••••(ii)

Now we have two equations to solve simultaneously;

x + y = 20,000

8x + 12y = 220,000

From i, x = 20,000-y

Substitute this into ii

8(20,000-y) + 12y = 220,000

160,000-8y + 12y = 220,000

4y = 220,000 - 160,000

4y = 60,000

y = 60,000/4

y = $15,000

x = 20,000 -y

x = 20,000 - 15,000

x = $5,000

You might be interested in
Ive worked out the yes can you help me on the no ill mark as brainliest if someone can anwser
Mashcka [7]

Answer:

yes yes yes yes yes yes yes yes yes yes yes yes yesyes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

Step-by-step explanation:

6 0
3 years ago
I need help plz <br><br> .........<br> .......<br> .......
Anarel [89]

Answer:

v=-60

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Median of 5,4,6,3,4?
taurus [48]

Answer:

4

Step-by-step explanation:

3, 4, 4, 5, 6

7 0
2 years ago
Read 2 more answers
The temperature in the afternoon was 10 degrees. By 8 pm, the temperature was -5
Ket [755]

Answer:

The temperature had dropped by 15 degrees (-15 if you don't want it positive.)

Step-by-step explanation:

Okay!

This is a subtraction problem.

If it started off at 10, and went down to -5, we can do |-5 - 10| (I am using the two bars because it said change.) And we get 15!

5 0
2 years ago
Read 2 more answers
Evaluate the expression 2(8 - 4)^2 - 10 / 2
Artemon [7]
2(8-4)^2-5
16-32-5
-21





you can change the -10/2 to a -5 and it will be easier.
5 0
3 years ago
Read 2 more answers
Other questions:
  • The diagram below shows a set of three different sized containers tanner used for storing dry goods. The largest container held
    9·2 answers
  • BRAINLIEST
    6·1 answer
  • Divide 28 photos into two groups so the ratio is 2 to 5. Write your answer as a ratio
    14·1 answer
  • Alex is 12 years older than George. Carl is Three times older than Alex The sum of their ages is 68 Find the ratio of George’s a
    8·1 answer
  • A certain insect can beat its wings 200 times per second. Write an equation in slope-intercept form that shows the relationship
    11·1 answer
  • What is the equation for a line with a slope of 5 and a y-intercept of 11?
    13·1 answer
  • There is a cube that is 1 unit long, 1 unit wide,
    7·2 answers
  • Line a is parallel to line b, m&lt;2 = 4x+44 , And m&lt;6=6x+36. Find the value of x
    15·1 answer
  • Need help with this please or explain how to solve it
    5·1 answer
  • what is the eight term of the arithmetic sequence defined by the rule A(n)=-12+2(n-1) RIGHT ANSWER ONLY
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!