Stock for the jones corporation starts with a value of $39.63 and gains $0.30 in value per month. stock for the overton company starts with a value of $24.45 and gains $0.80 in value per month. when are the two stocks nearly equal in value?

Answers

Answer 1

Using linear functions, it is found that the two stocks will be nearly equal in 30 months.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Each of the stocks can be modeled by these following functions:

S1(t) = 39.63 + 0.3t.S2(t) = 24.45 + 0.8t.

They will be equal when:

S1(t) = S2(t).

Hence:

39.63 + 0.3t = 24.45 + 0.8t

0.5t = 15.18

t = 15.18/0.5

t = 30.36.

Rounding, approximately 30 months.

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Related Questions

parallelogram ABCD has vertices A(0,0)B(3,6)C(11,2) find the possible coordinates of D

Answers

The parallelogram ABCD formed by vertices A(x, y) = (0, 0), B(x, y) = (3, 6) and C(x, y) = (11, 2) has a point D with the following coordinates: D(x, y) = (14, 8).

How to determine the missing vertex of a parallelogram

In this question we know only three vertices of the parallelogram. To determine the missing point we must understand the properties of parallelograms. Vectorially speaking, we can find the missing vertex by using the following property:

[tex]\overrightarrow{AB} = \overrightarrow {CD}[/tex]

[tex]\vec B - \vec A = \vec D - \vec C[/tex]

[tex]\vec D = \vec C + (\vec B - \vec A)[/tex]

D(x, y) = (11, 2) + [(3, 6) - (0, 0)]

D(x, y) = (11, 2) + (3, 6)

D(x, y) = (14, 8)

The parallelogram ABCD formed by vertices A(x, y) = (0, 0), B(x, y) = (3, 6) and C(x, y) = (11, 2) has a point D with the following coordinates: D(x, y) = (14, 8).

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solve the equation
(x+1)(x+8)=0

Answers

Answer:

x²+9x+8

Step-by-step explanation:

(x)(x+8)+(1)(x+8)

x²+8x + ×+8

x²+9x+8

Hey there!

Answer :

x = -1 or x = -8 ✅

Explanation :

To solve this equation, you have to use the zero product property.

Ifa product of factors is zero, then at least one of its factors is zero.

Which means that either x + 1 = 0 or x + 8 = 0

⇒ x + 1 = 0

Subtract 1 from both sides :

⇒ x + 1 - 1 = 0 - 1

x = -1

OR

⇒x + 8 = 0

Subtract 8 from both sides :

⇒x + 8 - 8 = 0 - 8

x = -8

Therefore, x = -1 or x = -8.

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help marking brainliest

Answers

Answer:

9-pack

Step-by-step explanation:

Price per roll for 4-pack = Pack price / Number of rolls in pack

= 2.25 / 4

= £0.56 (rounded off to nearest cent)

Price per roll for 9-pack = Pack price / Number of rolls in pack

= 4.50 / 9

= £0.50

From here, we can see the 9-pack is of better value.

m
1
8
What transformations were applied to ABCD to obtain A'B'C'D?
4
2
A. Rotate 90 degrees counterclockwise about the origin, then
translate 2 units up.
B. Rotate 180 degrees counterclockwise about the origin, then
translate 2 units down.
O C. Rotate 180 degrees counterclockwise about the origin, then
translate 2 units up.
D. Rotate 90 degrees counterclockwise about the origin, then
translate 2 units down.
← PREVIOUS
4

Answers

Answer:

A

Step-by-step explanation:

To answer this, look at one specific point for example, A. It is at the point (3,6). In order for this point to get to where it was moved to, you must rotate it counterclockwise () 90 degrees. Do this by changing the initial point from (x,y) to (-y,x). This is located at (-6,3). Then you can see that it was translated 2 units up from there.

I hope this helped.

Rotate 90 degrees counterclockwise then translate 2 units up.

Option B is correct.

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

In the figure ABCD, is transformed to figure A'B'C'D'.

It is Transformed from Quadrant 1 to quadrant 2

So, the point (x,y) is (-y,x).

It is then moved up by 2 units.

Now, the figure is rotated counterclockwise and translated up by 2 units.

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The volume of a medal is 35 cm³
The medal is made from copper and tin.
The density of copper is 8.84 g/cm³
The density of tin is 7.38 g/cm³
Work out the mass of the medal.
volume of copper : volume of tin = 21:4

Answers

Answer:

301.224 g

Step-by-step explanation:

Let's divide in the ratio 21:4 the volume of the medal (35cm^3)

copper = (21/25)(35cm^3) = 29.4cm^3

tin = (35 - 29.4)cm^3 = 5.6cm^3

FOR THE COPPER

8.84 : 1 = X : 29.4

X = 259.896(g)

FOR THE TIN

7.38 : 1 = X : 5.6

X = 41.328(g)

(259.896 + 41.328)g = 301.224 g

HI GUYS CAN SOMEONE PLEASE HELP??? ASAP??
TYSM!

Answers

A = 6,480
B = 4,680
C = 19,800
I’ve been out of school for a few years I hope everything is right

a
2
3
4
5
6
7
8
Which is the graph of f(x) = -(x+3)(x + 1)?
10

Answers

Answer:

graph C

Step-by-step explanation:

(x+3)(x+1) = 0

therefore x = -3 and x = -1

the table below shows the results from a spinner experiment find the probability of spinning a number greater than 2

Answers

Answer:

29/48

Step-by-step explanation:

Total number of spins: 8 + 11 + 17 + 12 = 48

Total number of spins greater than 2: 17 + 12 = 29

p(greater than 2) = 29/48

If anyone know how to solve this please help!!
this my last slide to finish
solve this please!!

Answers

Answer:

Area=18ft^3 Surface Area=44ft^2

Step-by-step explanation:

The formula for area of a rectangular prism is A=lwh. So you just plus that in

Answer:

Volume = 18 cubic feet
Surface Area = 44 square feet
Double width = Double the space

Step-by-step explanation:

Please see attached explanations.

Surface area is the area (one side multiplied by another) of every side of the storage box, added together.
I have labeled each unique pair of sides as a, b, and c. That is top and bottom, left and right side, and front and back side.

Volume is the length multiplied by the width multiplied by the height.

By doubling the width, you are doubling the size of the box in that given direction. You can prove this mathematically by making the width twice of what it was and finding volume again.

I need help asap please

Answers

Step-by-step explanation:

you first multiply both sides by 4

hence,

40 > 5u > 30

then you just divide by 5 to get

8 > u > 6

16-
15-
14-
13-
12-
11-
65
Distance (meters)
1698
master bedroom
living room
2nd bedroom.
X
0 1 2 3 4
5
6
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 2
Distance (meters)
What is the area of the kitchen floor in this floor plan?
6 5
y
4
3
2-
0
kitchen
entry-
bath

Answers

Answer:

[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]

Gamitin mo utak mo bleh

[tex]\red{\rule{10pt}{999999pt}}\orange{\rule{10pt}{999999pt}}\green{\rule{10pt}{999999pt}}\blue{\rule{10pt}{999999pt}}\purple{\rule{10pt}{999999pt}}[/tex]

I am thinking of a secret number. 12 is a factor of my number. Suggest three other factors of my number.​

Answers

Answer:

Let us assume your secret number is 12, and we can simply write down ALL the factors of 12:

1, 12

2, 6

3, 4

whitch of the following is closest to 8 62 61 65 66

Answers

Answer:

If the question is which is closest to 8, the answer is 61

Step-by-step explanation:

Pls helpDetermine the area, in square units, of rectangle ABCD.

Enter the area of rectangle ABCD.

Answers

The area of the rectangle, as shown in the image given is calculated as: 48 square units.

What is the Area of a Rectangle?

The area of a rectangle = length × width.

Find the length and width of the rectangle:

Length (BC) = 8 unitsWidth (AB) = 6 units

Area of rectangle ABCD = 8 × 6 = 48 square units.

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Find the perimeter of the parallelogram with these vertices. (-5,1) (-5,-4) (5,-2) (5,-7)

Answers

Answer:

10 + 2√109 ≈ 30.88

Step-by-step explanation:

if a is factor of x what is the other factor​

Answers

Answer:

x because say you have a prime number, 7, a will equal 1 and the other factor is 7 so it must be x

Answer:

[tex]\dfrac xa[/tex]

Step-by-step explanation:

[tex]\text{Let the other factor be k,}\\\\~~~~~~~a \times k =x\\\\\implies k = \dfrac x a\\\\\text{Hence, the other factor is}~ \dfrac xa[/tex]

MATH!!! find the volume of the pyramid

Answers

The area of polygons formulas to V=2.56m^2

We have to determine,

The volume of the pyramid.

What is the volume of the pyramid?

The volume of a pyramid is found using the formula,

V = (1/3) Bh

where 'B' is the base area and 'h' is the height of the pyramid.

hight =2.4m

base=1.4+1.8

base=3.2m

V = (1/3) (3.2)(2.4)

V=2.56m^2

As we know the base of a pyramid is any polygon,

we can apply the area of polygons formulas to find 'B.

V=2.56m^2.

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[tex]2h - (6h - 5)= -1[/tex]

Answers

Answer:

[tex]h=\frac{6}{4}[/tex]

Step-by-step explanation:

[tex]2h-(6h-5)=-1\\2h-6h+5=-1\\-4h+5=-1\\-4h=-6\\\boxed{h=\frac{6}{4}}[/tex]

distribute the negative sign to the parenthesiscombine like termssubtract [tex]5[/tex] from both sidesdivide both sides by [tex]-4[/tex]

The ocean was a magnet pulling me closer to it.
Group of answer choices

1:hyperbole

2:simile

3:metaphor

Answers

Answer:

Metaphor

Step-by-step explanation:

This is a comparison between the ocean and a magnet, but it did not use like or as, so it is a metaphor.

Answer: The correct answer is 3. metaphor.

Step-by-step explanation:

A hyperbole is an exagerration.

A simile is a comparison used with like or as.

A metaphor is a comparison used without like or as.

Therefore, "The ocean was a magnet pulling me closer to it." includes a metaphor.

what is the coordinate of the vertex for the following prabola: (x-10)^2 = 12(y+2)

Answers

Answer:

Hi,

Step-by-step explanation:

[tex](x-10)^2=12(y+2)\\y=\dfrac{(x-10)^2}{12}-2\\y'=0 == > 2(x-10)/12=0 == > x=10 == > y=-2\\\\Vertex\ is\ (10,-2)\\[/tex]

What is the slope of the line that contains the points (-2, 2) and (3, 4)?
A -2/5
B 2/5
C 5/2
D -5/2

Answers

Answer:

[tex]B) ~\dfrac 25[/tex]

Step-by-step explanation:

[tex]\text{Given that,} ~ (x_1,y_1) = (-2,2)~ \text{and}~ (x_2 ,y_2) = (3,4)\\\\\text{Slope},~ m = \dfrac{y_2 - y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~~=\dfrac{4-2}{3+2}\\\\\\~~~~~~~~~~~~~=\dfrac 25[/tex]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the slope of the line that contains the points (-2, 2) and (3, 4).

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Use the slope formula, which is given below:

[tex]\star~\mathrm{\cfrac{y2-y1}{x2-x1}}[/tex]

Where

y2 and y1 are y-coordinates

x2 and x1 are x-coordinates

Substitute the values:

[tex]\star~\mathrm{\cfrac{4-2}{3-(-2)}}[/tex]

Simplify!

[tex]\star~\mathrm{\cfrac{2}{5}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

Expand the brackets.
4(t – 5)

Answers

Step-by-step explanation:

[tex] = 4(t - 5)[/tex]

[tex] = 4t - 4 \times 5[/tex]

[tex] = 4t - 20[/tex]

Answer:

4t - 20

Step-by-step explanation:

[tex]4(t - 5)[/tex]

[tex]4t(5)[/tex]

[tex]= 20[/tex]

[tex]= 4t-20[/tex]

The graph of y=x is shifted up 2 units and 3 units to the left. Which is the equation of the translated function?

Answers

Check the picture below.

[tex]y = x\implies y = \stackrel{A}{1}(\stackrel{B}{1}x+\stackrel{C}{0})+\stackrel{D}{0} \\\\\\ \begin{cases} \stackrel{\textit{2 units up}}{D=+2}\\\\ \stackrel{\textit{3 units left}}{C=+3}\\ B=1 \end{cases}\qquad \implies y = \stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+3})\stackrel{D}{+2}\qquad \implies y=(x+3)+2[/tex]

solve pls brainliest

Answers

Answer:45
To solve: multiply 72 by 5/8
5/8 x 72/1
We can simplify this to become:
5/1 x 9/1
This gives us an answer of 45.

How many different selections of 4 books can be made from a bookcase displaying 12 books?

Answers

Answer:

495

Step-by-step explanation:

12C4 = 12*11*10*9/(4*3*2*1) = 495

Answer:

495

Step-by-step explanation:

12C4 = 12*11*10*9/(4*3*2*1) = 495

What is the velocity (speed) of a car (in kilometres per hour) if it goes 40 kilometres in 35 minutes?

A: 70.27 km/hr
B: 67.52 km/hr
C: 68.57 km/hour
D: 69.88 km/hr

Answers

speed = distance / time


35 minutes / 60 minutes = 0.583 hours


speed = 49 km / 0.583 hours

Speed = 68.57 km/hr


answer: C. 68.57 km/hour

a cone has a base with a diameter of 60 cm. the height of the cone is 24 cm. what is the approximate volume of the cone? use 3.14 or pi.

Answers

Answer:

22619.47

Step-by-step explanation:

V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]

=π·30^2·24/3

≈22619.46711

Type the probability notation for choosing a red disk.

Answers

The probability notation for choosing a red disk is P(red disk)

How to determine the notation?

From the question, we have the following highlights:

The scenario represents probabilityThe event is choosing a red flask

Probability notations are represented as:

P(Event)

Since the event is choosing a red flask, the probability would be

P(red disk)

Hence, the probability notation for choosing a red disk is P(red disk)

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Jessica has a penny and a nickel. She flipped both coins. What are the chances that both coins land on tails?

Answers

Answer:

Step-by-step explanation:

Here is a list of possible outcomes.

Penny      nickel

Heads      heads

Heads       tails

tails            Heads

tails            tails

Since there are four ways the two coins can land, the chances of getting tails - tails is 1 chance in 4.

Answer: The answer is C 1/4

Question 4 of 25
Which of these could be the graph of F(x) = In x + 1?
51
51
5.
H
5
-5
-5-
B
A
5
-5
D
5

Answers

Answer:

fx 8

Step-by-step explanation:

ao the answer ia fx 8 do times

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