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
Lilit [14]
3 years ago
7

Susan Marciano invested part of her $37,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered

a 5% loss. find the amount of each investment if her overall net profit was $3,420
Mathematics
1 answer:
Bad White [126]3 years ago
6 0

Answer:

The amount invested in funds that earned 12% profit is 31000

The amount invested in stock that suffered 5% loss is 6,000.

Step-by-step explanation:

Let x be the amount invested in funds that earned 12%.

Then the amount invested in stock that suffered 5% loss is 37000 - x.

The profit from investment in funds is = 12% of x

                                                               = 0.12·x

The loss from investment in stock is = 5% of (37000 - x)

                                                            = 0.05 × (37000 - x)

The net profit is 0.12·x - 0.05 × (37000 - x)

As the net profit given in the problem is $3420, we have :

0.12·x - 0.05 × (37000 - x) = 3420

Solving for x, we have :

12·x - 5 × (37000 - x) = 342000 (multiply both sides by 100)

12·x - 185000 + 5·x = 342000

17·x = 527000

⇒ x = 31000

Hence, The amount invested in funds that earned 12% profit is 31000 and the amount invested in stock that suffered 5% loss is 37000 - x = 37000 - 31000 = 6,000.

You might be interested in
Matthew drove 74 miles in 2 hours. On average, how fast did he drive in hours per mile? Express your answer in simplest form.
jonny [76]

Answer: 37

Step-by-step explanation: Since you drove 74 miles in 2 hours, you would divide 74 by 2 to find the miles per hour, which would be 37.

3 0
2 years ago
Given that A, O &amp; B lie on a straight line segment, evaluate <br>x<br>.​
Afina-wow [57]

Answer:

Step-by-step explanation:

It is the same way:

       we know that

if A , O and B lie on a straight line segment

then

∡AOY+∡YOZ+∡ZOB=180°

so

3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°

the answer is

x=36°

<em>please mark me as brainliest</em>

4 0
3 years ago
The weekly ad for a local grocery store advertises a 5 pound bag of organic apples for $13.95. Round each rate to the nearest hu
beks73 [17]

Answer:

$2.79 per pound of apples.

0.36 pounds per dollar.

The unit rate representing cost of per pound apples is typically used.

Step-by-step explanation:

We have been given that the weekly ad for a local grocery store advertises a 5 pound bag of organic apples for $13.95.

Since we know when rates are expressed as a quantity of 1, such as 100 meter per second or 5 miles per hour, they are called unit rates. We need to have 1 in our denominator to express two quantities as unit rate.

Let us find the unit rate in terms of cost of per pound bag of apples.

\text{Unit rate as the cost of organic apples per pound}=\frac{\$13.95}{5 \text{ pounds of organic apples}}

\text{Unit rate as the cost of organic apples per pound}=\frac{\$2.79} {\text{ pound of organic apples}}

Therefore, our unit rate will be $2.79 per pound of apples.

Let us find unit rate of pounds of apples per dollar.

\text{Unit rate as the pounds of organic apples per dollar}=\frac{5\text{ pounds of organic apples}}{\$13.95}

\text{Unit rate as the pounds of organic apples per dollar}=\frac{0.3584 \text{ pounds of organic apples}}{\$}

\text{Unit rate as the pounds of organic apples per dollar}\approx \frac{0.36 \text{ pounds of organic apples}}{\$}

Therefore, our another unit rate will be 0.36 pounds per dollar.

Since, we purchase apples or other items according to their price per piece or their price per pound in our daily life, therefore, the unit rate representing cost of per pound apples is typically used.

3 0
3 years ago
Read 2 more answers
Explain and demonstrate how to turn 4/20 into a percent
iren2701 [21]

Answer:

20%

Step-by-step explanation:

We can start by looking at it as a ratio, so 4 divided by 20 and 4/20 = 0.2, so that would be 20% viewing 1=100%.

Another way is

20 here is 100%, and for 20 to equal 100, we have to multiply it by 5. To balance it out, multiply the top by 5 as well, and 4 * 5 =20. Therefore, 4/20 = 20%

4 0
2 years ago
Is 40% of a class are girls. and 25% of girls play tennis, what is the percent of the class play tennis?
ASHA 777 [7]

Answer: a. 10%

Step-by-step explanation:

Girls in the class = 40%

Girls play tennis = 25%

Percentage of class play tennis = 40%*25% = 0.4*0.25 = 0.1

Percentage of class play tennis = 10%

5 0
2 years ago
Read 2 more answers
Other questions:
  • The box y contains 5 red blocks and 7 blue blocks. What fraction of all blocks are red?
    9·1 answer
  • What is the decision regarding the differences between the observed and expected frequencies if the critical value of the chi-sq
    13·1 answer
  • If it takes 2 scoops of flour to make 16 cookies how many scoops of flour does it take to make 40
    14·2 answers
  • 1.5 as a mixed number in the simplest form
    7·2 answers
  • Solve 7w^2+42=98 , where w is a real number
    12·1 answer
  • Emma buys a house for £201 500
    8·2 answers
  • A ladder 10 ft long rests against a vertical wall. Let theta be the angle between the top of the ladder and the wall and let be
    15·1 answer
  • Can someone help me
    5·1 answer
  • Make this into three sentences
    6·1 answer
  • 12=4-4x<br>PLEASE HELPPP​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!