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
Lera25 [3.4K]
3 years ago
10

A person has $10,100 to invest in two different stock. Stock ABC costs $32 per share and pays dividends of $1.20 per share. Stoc

k XYZ costs $23 per share and pays dividends of $1.40 per share. If she wants to earn a total of $540 in dividends, how much money should be invested in company ABC?
Mathematics
1 answer:
marusya05 [52]3 years ago
8 0

Answer:

$ 3199.0

Step-by-step explanation:

Let the number of shares of ABC = x

and XYZ = y

writing each as a linear equation

32 x + 23 y = 10100  equation 1

1.2 x + 1.4 y = 540

1.4 y = 540 - 1.2 x

y = (  540 - 1.2 x) / 1.4

substitute for y in equation 1

32 x + 23( 540 - 1.2 x) / 1.4 = 10100

32 x + 8871.43 - 19.71 x = 10100

collect the like terms

32 x -  19.71 x = 10100 - 8871.43

12.29 x = 1228.57

x = 1228.57 / 12.29 = 99.97

the amount of money to be invested in ABC shares = 99.97 × $ 32 = $ 3199.0

You might be interested in
Solve the system of linear equations.<br> 3x + 5y = -2<br> 2x - y = 3
natita [175]

Answer:

3x + 5y = -2 is x= −5 /3 y+ −2 /3

2x - y = 3 is x= 1 /2 y+ 3 /2

Step-by-step explanation:

7 0
3 years ago
What is 11/5 in a decimal
Vesnalui [34]

You can divide it and get 2.2

5 0
3 years ago
Read 2 more answers
The cost to rent a bike is $8 per hour plus a 24$ flat fee if your final bill was $48 how many hours did you rent a scooter for?
Luda [366]
The scooter was rented for 3 hours
8 0
3 years ago
Read 2 more answers
The temperature of the sun is 27 million degrees Fahrenheit. Use scientific notation to express the temperature.
Ipatiy [6.2K]

Answer:

A

Step-by-step explanation:

We know million has 6 zeros.

So, 1 million would be written as:

1,000,000

Similarly, 27 million would be written as:

27,000,000

We know writing a number in scientific notation would make this a decimal in 1 decimal place, so we would select "2.7" as the base of the scientific number.

Now, how many places to the right do we need to go (in 2.7) to make it 27,000,000?

Counting, we see:  7 places

So, power of 10 would be "7", thus we can write:

2.7*10^7

Answer choice A is right

3 0
3 years ago
Read 2 more answers
In a local city, the temperature at noon is -3C The temperature is expected to decrease by 2.5C each hour until the temperature
LiRa [457]

Writing the equation that governs this situation:


-3C - (2.5C/hr)x = -18C


Simplifying, -3 - 2.5x = -18, or 3 + 2.5x = 18


Combining like terms: 2.5x = 18-3 = 15


Then x = 15/2.5 = 6. The temp. will reach -18C after 6 hours.

7 0
4 years ago
Read 2 more answers
Other questions:
  • To obtain the graph of y = (x - 8)2, shift the graph of y = x2 units.
    15·2 answers
  • How do you do a probability tree? How do you start it? How do I get all my percentages to add up to 100?
    15·2 answers
  • Select the statement that is missing from the proof below showing that vertical angles formed by intersecting lines are congruen
    10·1 answer
  • Sofia hits a softball straight up. the equation h= -16t^2 + 90t models the height h, in feet, of the ball after t seconds. How l
    10·1 answer
  • Which expressions are equal to 8 × 10to the 5 power? Select all that apply. 8 × 1,000 8 × 10,000 8 × 100,000 8 × 10 × 10 × 10 ×
    5·1 answer
  • Can someone help me find 5 + 8m = -18, please? ​
    15·1 answer
  • Find the first six terms of the sequence. a1 = -8, an = 5 • an-1
    8·1 answer
  • Given f(x)=3x+4. Determine the value of x if f(x)=21 to the nearest tenth.
    13·1 answer
  • Jared started a new job. On the first day he had orientation and worked for 2 hours. On the second day he trained for 4 hours. A
    10·1 answer
  • I don't quite understand this one!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!