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
vazorg [7]
3 years ago
12

A person has ​$28,000 invested in stock A and stock B. Stock A currently sells for ​$50 a share and stock B sells for ​$60 a sha

re. If stock B triples in value and stock A goes up​ 50%, his stock will be worth ​$69,000. How many shares of each stock does he​ own?
Mathematics
1 answer:
Iteru [2.4K]3 years ago
8 0

Answer:

Number of stock A = 200

Number of stock B = 300

Step-by-step explanation:

Let :

Number of stock A shares = a

Number of stock B shares = b

Worth of stock A = 50 * a = 50a

Worth of stock B = 60 * b = 60b

50a + 60b = 28000 - - - (1)

Triple the value of stock B:

3 * 60 = 180

Value of stock A goes up by 50%

(100 + 50)% * 50 = 1.5 * 50 = 75

75a + 180b = 69000 - - - (2)

50a + 60b = 28000

75a + 180b = 69000

Multiply equation 1 by 3 and subtract

150a + 180b = 84000

75a + 180b = 69000

75a = 15000

a = 15000/75

a = 200

75(200) + 180b = 69000

15000 + 180b = 69000

180b = 69000 - 15000

180b = 54000

b = 300

You might be interested in
2 5/8oz if you use a thrid of it how much is she gone have left over
alex41 [277]
Lets convert the fraction first to ease the calculations:
2 5/8 = 16/8 + 5/8 = 21/8
so now we can operate easily, to calculate we need to multiply 21/8 by 2/3 that is because, if 1/3 is used then 2/3 are left over (1/3 + 2/3 = 1, the total), so we have:
(2/3)(21/8) = (2*21)/(3*8)
= 42/24
= 21/12
= 7/4
so 7/4 are left over
4 0
3 years ago
Please help me with this math problem.
Nina [5.8K]

Answer:

x=25

Step-by-step explanation:

because of vertical angles theorem you set them equal to each other

4x+50=150

subtract 50 from both sides

4x=100

devide by 4 on both sides

x=25

5 0
3 years ago
Read 2 more answers
Max delivered 8520 pieces of mail in one year if he delivers the same number of pieces of mail each month about how many pieces
joja [24]
The ans is 1400 over 2 mo.
5 0
3 years ago
A family of four is trying to determine what they want to do for their summer vacation and came up with three options. They have
Nikolay [14]
Option 1 =$497.5 option 2 =$494.5 option 3 =$50.5
8 0
3 years ago
At 4:30pm, the thermometer outside of Yasmine's window read 40*C. It had risen 8* between noon and 4:30pm and 5* between 7:00am
Natalija [7]
32* I belive if it had risen 8 degrees then 40 minus 8 is 32

4 0
3 years ago
Other questions:
  • Which shows a difference of squares?
    5·1 answer
  • A person goes fishing and comes back with five fish. What type of data is this?
    6·1 answer
  • Which measure of central tendency best describes this situation: the ages of students in an eighth-grade class?
    6·2 answers
  • (please zoom / zoom out if needed to see question. (: )
    14·1 answer
  • What is the value of 3 in 23
    15·2 answers
  • Hey guys can I get some help plz thanks
    5·1 answer
  • Determine whether the data described below are qualitative or quantitative and explain why. The styles of shoes of clients enter
    9·1 answer
  • #2 Which best represents the area of a circle with a radius of 12 inches? *
    11·1 answer
  • Use the gcf to factor: 6e+24n​
    13·1 answer
  • How many solutions does this system have?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!