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 share. 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?

Answers

Answer 1

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


Related Questions

Number 9.
A recipe to make 3 apple pies requires
9 cups of flour. How many pies can be
made with 15 cups of flour?

Answers

15 cups x 3 pies = 45
45 / 9 cups = 5
Answer: with 15 cups of flour, 5 pies can be made.

Carl spent $140 in six days. He spent $20 on the first day. He spent the same amount of money during the next five days Helpppp! 100 POINTS

Answers

Answer:

He spent $24

Step-by-step explanation:

it is 24

hope it helps

The equation Y+3=5(x-2)
goes through with point?
(2,-3)
(3,-2)
(-2,3)
(-3,2)

Answers

Answer:

(2, -3)

Step-by-step explanation:

Well the equation is y - y1 = m ( x - x1)

-3 = y1

2 = x1

(2, -3)

Answer:

(2,-3)

Step-by-step explanation:

The given equation is in point-slope form. That is,

[tex]y-y1=m(x-x1)[/tex]

[tex]x1[/tex] and [tex]y1[/tex] is a point, while [tex]m[/tex] is the slope.

So, [tex]y1=-3[/tex] and [tex]x1=2[/tex].

The point that this equation passes through is (2,-3).

I hope this helps!

Solve for x
x + 3 = y
Select the correct response
1. X=y/3
2.x= y+3
3.x=y+-3
4.x=3y

Answers

Answer:

3. x = y - 3

Step-by-step explanation:

You want to move all numbers on the same side of x to the other side with y. Whenever doing this, we have to reverse the operation. In this problem, we have + 3 with x. So we will need to subtract 3 from both sides.

x + 3 = y

x = y - 3

A 12oz iced tea at a restaurant has 84 calories. How many calories are there in a 18oz iced tea?

Answers

82/ 12 = calories per oz
(82/12) * 18 = 123 calories

126

12=84

6=42

84+42=126

Hope this helps!!! Have an amazing night!!!!

At the end of a basketball game, Michael’s coach tells him that he scored 25% of all of his team’s points. If Michael scored 16 points, exactly how many points did his team score?

Answers

Answer:

25% of all points is 16. So 16 is 1/4. Multiply 16 by 4 and then total points is 64

PLEASE HELP
Josue is planning to host a big Thanksgiving Meal Pick Up service to raise money for the local food bank. He will be selling prepared meal boxes that will feed 4-6 people for $60. His friends and several local churches and organizations are happy to help. In fact, some of the food used will be donated to his cause. Unfortunately, his project will not be cost-free. He will need to rent a kitchen for $200 and spend $400 on food to be able to make the meal boxes. Write an equation that models his total profits and define each variable used. How many boxes must he sell to raise at least $10,000 for the food bank?

Answers

I am so sorry I don’t know etheir I will research a litttle and come back later

A box is sitting on the floor. The box was then pulled with a force, Ft. The box did not move. The free-body diagram of the box is shown.

A free body diagram with 4 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline = negative 20 N. The second vector is pointing right, labeled F Subscript t Baseline = 10 N. The third vector is pointing upward, labeled F Subscript N Baseline = 20 N. The fourth vector is pointing left, labeled F Subscript f Baseline = negative 10 N. The up and down vectors are the same length. The right and left vectors are the same length.

Which describes the motion of the box based on the resulting free-body diagram?

It is moving up with a net force of 20 N.
It is moving to the right with a net force of 10 N.
It is in dynamic equilibrium with a net force of 0 N.
It is in static equilibrium with a net force of 0 N.
Mark this and return

Answers

I'm not sure if it is dynamic or static equilibrium but if I had to choose I'd say dynamic

Answer:

It is in static equilibrium with a net force of 0 N.

Step-by-step explanation:

EDGE21

What is
3 4/10
written in simplest form?

Answers

Answer:

The answer is 3 2/5 hope this helps :)

Step-by-step explanation:

How do I get the fractional form for cos 4π/3?

Answers

Answer:

[tex] - \frac{1}{2} [/tex]

Step-by-step explanation:

cos

(

π

+

π

3

)

=

cos

π

cos

(

π

3

)

sin

π

sin

(

π

3

)

=

(

1

)

(

1

2

)

(

0

)

(

3

2

)

=

1

2

The answer is -1/2 !!!

Which is the graph of g(x) = (0.5)x+ 3 – 4?

Answers

Answer:

x=2 y=-1...................

Answer:

A

Step-by-step explanation:

HELP PLEASE I NEED HELP RN

Answers

Answer:

y = -2

Step-by-step explanation:

To find the answer, we have to input 0 in as the value of x and then solve the equation y = 3x - 2:

y = 3(0) - 2

y = 0 - 2

y = -2

When x is 0, y is -2.

Y= -2 very very easy

what is the slope of the line through the point (-4,6) and (-3,-1)?
a. -2/1
b. -7/1
c. -1/2
d. -1/7

Answers

Answer:

B.) -7/1

Step-by-step explanation:

Finding the slope we use: y2 - y1/x2 - x1

m = -1 - 6/-3 - (-4)

m = -7/-3 + 4

m = -7/1

(Select one) DO,2 of Y is:
(3/2, 1)
(5, 4)
(6, 4)

Answers

3/2 is the answer I belive have a nice day

Answer:

I believe the answer is (6,4)

Step-by-step explanation:

When dialating a shape you have to multiply both coordinates.  

In this case we are given the knowledge that the new image will be a dilation of 2 (DO,2)

So we have to multiply the coordinates of y (3,2) by 2 which gives us the answer of (6,4)

Hope this makes sense

Write an equation in point slope form for the line that passes through each point with the given slope. (you can press on the photo to see more clear)

Answers

Answer:

Question 1: Option C: y -6 = 8(x+4) is the correct answer.

Question 2: Option B: y-1=0 is the correct answer.

Step-by-step explanation:

Question 1(In Picture):

Given point is: (-4,6) and

Slope: m = 8

The point-slope form of equation of a line is given by:

[tex]y - y_1 = m(x-x_1)[/tex]

Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope

[tex]y -6 = 8(x+4)[/tex]

Hence,

Option C: y -6 = 8(x+4) is the correct answer.

Question 2:

Given point is: (3,1) and

Slope: m = 0

The point-slope form of equation of a line is given by:

[tex]y - y_1 = m(x-x_1)[/tex]

Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope

[tex]y -1 = 0(x-3)\\y-1 = 0[/tex]

Hence,

Option B: y-1=0 is the correct answer.

solve the equation pls and ty

Answers

Answer: No real solutions.

One factor of f(x) = x3 − 14x2 + 61x − 84 is (x − 7). What are the zeros of the function?

Answers

Answer:

-7

Step-by-step explanation:

Because zero is the x, so x=-7 then it's -7

The zeros of the polynomial function is x = 7, x = 3, and x = 4 if one factor of f(x) = x³ − 14x² + 61x − 84 is (x − 7).

What is a polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

It is given that:

f(x) = x³ − 14x² + 61x − 84

One factor is (x - 7)

The cubic polynomial can be written as:

f(x) = (x - 7)(x² - 8x + 12)

Or

f(x) = (x - 7)(x - 3)(x - 4)

To find the zeroes equate to zero:

f(x) = 0

(x - 7)(x - 3)(x - 4) = 0

x = 7, x = 3, and x = 4

Thus, the zeros of the polynomial function is x = 7, x = 3, and x = 4 if one factor of f(x) = x³ − 14x² + 61x − 84 is (x − 7).

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ2

A paper company has 30 boxes of paper ready to ship.
There are 27,000 pieces of paper in the boxes.
If each box has an equal number of pieces of paper, how many pieces of paper are in each box?

Answers

Answer:

900

Step-by-step explanation:

[tex]\frac{27000}{30}=900[/tex]

Solve the equation. 4d + 2d – 4d + 4 = 3d

Answers

Answer:

d = 4

Step-by-step explanation:

1. Simplify both sides of this equation, to start off with.

[tex]4d+2d−4d+4=3d

[tex]4d+2d−4d+4=3d[/tex]

[tex]4d+2d+−4d+4=3d[/tex]

2. Combine all the like terms you see here.

(4d+2d+−4d)+(4)=

d+4=3d[/tex]

(2d+4=3d)[/tex]

3. Subtract 3d from both sides of this equation.

[tex]2d+4−3d=3d−3d[/tex]

[tex] - d + 4 = 0[/tex]

4. Subtract 4 from each sides of the equation.

[tex]−d+4−4=0−4[/tex]

[tex] - d = - 4 [/tex]

5. Divide both of the sides by -1.

[tex] \frac{ - d}{ - 1} = \frac{ - 4}{ - 1} [/tex]

Therefore, the answer is d = 4.

HELP !!!!!40 POINTS AVAILABLE


2. d+g/h. When d=29, g = 16. and h=9
(1 point)
A.8
B.2.375
C.5.375
D.5

Answers

Answer:

5

Step-by-step explanation:

29 plus 16 is 45 and 45 divided into 9 is 5

It’s 5 when you add them together then you divide them you get 5

HELP PLEASEEE ILL GIVE YOU BRAINLILIST I DONT KNOW PART B :(

Answers

Answer:

It is the third one.

Step-by-step explanation:

find the missing value so that the line passing through the points has the given slope.
(7, 1) and (x, 4); m = 3/4

Answers

Answer: The missing value is 5. x = 5.

Step-by-step explanation:

Plug the values into the equation for slope

(4-1)/(x-1) = 3/4

Simplify

3/(x-1) = 3/4

Since we already know the numerator is 3 and we know the denominator is equal to 4, x-1 must equal 4.

x-1 =5, thus x = 5.

In the right triangle shown, m∠K =60, and KL=2

How long is JL?

Answers

The answer; 90-2 = 88

Answer:

Is JI a side then Jl=3 .5

Step-by-step explanation:

Please help me with this !!

Answers

Answer:

Step-by-step explanation: a . subtraction

b .n/3 = 8+1 since the one goes out wit the opposite sign

n/3 = 9

n = 9 x 3 = 27

n = 27

c. i didn't get it sorry

pls help ASAP will give brainlist

Answers

Answer:

The length of each side of the base must be 6.

Step-by-step explanation:

Total volume = 396

Volume = Length x width x height

We know height = 11

So,

11 x Length x Width = 396

396 / 11 = 36

Length x Width = 36

This is a square prism so all sides of base are equal.

Length = 6

Width = 6

And therefore all the other sides of the base are also 6.

HELPPPPP!!!! PLZ!!! MATHHH!!!!

Answers

Answer:

The egg salad sandwich

Step-by-step explanation:

The cheese sandwich is 1/4 lb for 6 inches. For it to be proportional, the 12 inch would be twice that amount (2/4 or 1/2 lb). But, the actual 12 inch cheese sandwich is 3/4 lbs.

The chicken salad sandwich is 3/4 lbs for 6 inches. For it to be proportional, the 12 inch would be twice that amount (6/4 or 3/2 lbs). But, the actual 12 inch chicken salad sandwich is 7/4 lbs.

The egg salad sandwich is 2/3 lbs for 6 inches. For it to be proportional, the 12 inch would be twice that amount (4/3 lbs). The 12 inch sandwich is 4/3 lbs, so it is proportional.

The vegetable sandwich is 3/4 lbs for 6 inches. For it to be proportional, the 12 inch would be twice that amount (6/4 or 3/2 lbs). But, the actual 12 inch vegetable sandwich is 5/4 lbs.

take a look at this question and see if you can figure it out for me lol

Answers

Answer:

x=4 is the correct answer:)

Step-by-step explanation:

SOMEONE HELP ASAP i’ll give brainliest

Answers

Answer:

which question is it ??

What is the equation of the line in slope-intercept form that is perpendicular to the line y = -x-2 and passes
through the point (-12, 10)?
O y=-x-6
O y=-x + 6
Oy= x + 26
O y = x + 10

Answers

y=-x+6 i’m pretty sure. not 100% tho

The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The given line has a slope of -1, since it is in the form y = mx + b, where m is the slope, and in this case, m = -1.

To find the equation of the line that is perpendicular to this line,

We need to use the fact that the product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular line be m'.

Then:

-1 x m' = -1

m' = 1

So the slope of the perpendicular line is 1.

We also know that the perpendicular line passes through the point (-12, 10).

Using the point-slope form of the equation of a line, we have:

y - y(1) = m' (x - x(1))

Substituting m' = 1 and (x(1), y(1)) = (-12, 10),

We get:

y - 10 = 1 (x + 12)

Simplifying this equation gives:

y = x + 22

Thus,

The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.

Learn more about equation of a line here:

https://brainly.com/question/23087740

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express in standard form 24.12

Answers

It would be: 24.12

I know that sounds crazy. But when you write something in standard form, it means you have to rearrange the terms in alphabetical order. Hope this helps!
Also, happy holidays!!✌
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