In the year 2009, a company made $8.4 million in profit. For each consecutive year
after that, their profit increased by 14%. How much would the company's profit be in
the year 2011, to the nearest tenth of a million dollars?

Answer:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

For the particular case of horizontal lines, those will be of the form:

y = constant.

The vertical lines will be of the form:

x = constant.

Let's start with line a, this is a vertical line, then will be:

x = constant.

To see the value of the constant, you need to see in which point it intersects the x-axis, in this case is in -4, then line a will be:

x = -4

For line b we have the same reasoning, in this case the line intersects the x-axis at x = 4, then line b is: x = 4.

Now for the horizontal lines:

Line c will be of the form:

y = constant

To find the value of the constant you need to see in which point the line intersects the y-axis.

In this case the line intersects the axis at y = 4.

Then this line can be written as: y = 4

For line d, we can see that it intersects the y-axis at -2, then this line will be written as:

y = -2.

For the case of line e we can use the first thing we wrote, let's find two points that belong to this line.

(0 , 1) and (4, -2)

Then the slope will be:

a = (-2 - 1)/(4 - 0) = -3/4

y = -(3/4)*x + b

To find the value of b, we can just replace the values of one of the points in the equation. I will use the point (0, 1), this means that we must replace x by 0, and y by 1.

1 = -(3/4)*0 + b

1 = b

Then the equation for line e is:

y = -(3/4)*x + 1.

Answer:

$37.50

Step-by-step explanation:

Sale = $50.00 x 25% = $12.50

=> The coat after the discount = $50.00 - $12.50 = $37.50

$37.50

Step-by-step explanation:

Sale = $50.00 x 25% = $12.50

=> The coat after the discount = $50.00 - $12.50 = $37.50

Answer:

-3/2x +2

Step-by-step explanation:

To find slope: y value - y value over x value - x value

5-(-4) = 9

-2 -4 = -6

9/-6 = -3/2 after you divide each by gcf of 3

y intercept : plug in your y and x values (and your slope ) into the equation: y = mx+b (slope intercept form)

point 1 (-2,5): 5 = (-3/2)(-2)+b

                     5 = 3+b (subtract 3 from both sides)

                      2 = b (your y intercept)

Answer: y=[tex]\frac{-3}{2}[/tex]x+2

Step-by-step explanation:

1. Find the slope of the two coordinates by using the slope-intercept form:

    Slope intercept form=(y₂-y₁)/(x₂-x₁)

    (-4-5)/(4-(-2))

    (-9)/(4+2)

    -9/6 or -3/2

2. Now that we have the slope for these two coordinates, plug them into the point-slope formula.

    Equation for point-slope: y-y₁=m(x-x₁), where m=slope

    y-5=[tex]\frac{-3}{2}[/tex](x-(-2)

    y-5=[tex]\frac{-3}{2}[/tex](x+2)

    y-5=[tex]\frac{-3}{2}[/tex]x-[tex]\frac{6}{2}[/tex]

    y-5=[tex]\frac{-3}{2}[/tex]x-3

(Add 5 to both sides)

    y=[tex]\frac{-3}{2}[/tex]x+2

Answer:

any number greater than 5 (so 6 and 8)

Step-by-step explanation:

since the expression on the left is supposed to be greater than 7, 5 cant be an answer because that will equal to 7. Therefore any number greater than 5 will work.

Answer:

8.8

Step-by-step explanation:

Answer:1,332

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the amount to keep one adult in a day to be x

Since 7 days = 1 week

Amount it will take to keep one adult for a week will be 7x

one adult = 7x pounds

To get the expression that show how much it costs per week to keep the 8 adults, we will say;

8 adults = y pounds

where y is the required amount

Solving both expressions

one adult = 7x pounds

8 adults = y pounds

Cross multiply

1 * y = 7x * 8

y = 56x

Hence the required expression is y = 56x

Answer:

Finding a tutor for mathematics? If that's the problem

Step-by-step explanation:

Try asking friends, family, close people in your family about mathematics. Maybe they have the same problem and somehow got over it by studying, asking questions, or they have a tutor, etc

Try using that same method that they used. If none of them have problems, ask your parents about that. They might be willing to sit down and teach you a little bit...

I have always had problems with math so I am sorry if it doesn't work out for you

Answer:

In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function. ... y=mx+b. Where m is the slope and b is the y-intercept.

Step-by-step explanation: I hope this helps

Answer:

y=mx + b

Step-by-step explanation:

Answer:

5744. 61 cents

Step-by-step explanation:

5744. 61 cents

Because:

Explanation:

after 1 year:

20700×89%=18423

after 2 years:

18423×89%=16396.47

after 3 years:

16396.47×89%=14592.8583

after 4 years:

14592.8583×89%=12987.64389

after 5 years:

12987.64389×89%=11559.00306

after 6 years:

11559.00306×89%=10287.51272

after 7 years:

10287.51272×89%=9155.886323

after 8 years:

9155.886323×89%=8148.738828

after 9 years:

8148.738828×89%=7252.377557

after 10 years:

7252.37757×89%=6454.616026

after 11 years:

6454.616026×89%=5744.608263

~5744.61 (nearest cent)

Answer:

Kindly check explanation

Step-by-step explanation:

When performing addition and subtraction of decimals, it is important to arrange the numbers being added or subtracted such that the decimal points are in line. This is particularly important so that the place value of the numbers are in accord.

To simplify, when then decimals are in line, then the tenth value of the first number will be added to the tenth value of the second. Without this arrangement, one might be adding the hundredth placed value to the tenth or unit value which is mathematically incorrect and will yield a wrong result.

For instance :

6.32 - 0.5

Here, when the decimal point of each number is in line, the tenth placed value of the first number (3) matches the tenth placed number of the second number (5) and all others also fall in place automatically.

____6.32

- ___0.5

________

___ 5.82

________

Answer:

25,000,000

Step-by-step explanation:

5*5=25 and add the 6 zeros

please give thanks :)

Answer:

well for me

Step-by-step explanation:

I think

=25000000

Answer:

B

Step-by-step explanation:

SSS stand for Side Side Side, so the truangle must identify all it's sides. To identify sides it uses lines through the side like in B where 1 side has 1 line, 1 side has 2 lines, and the other side has 3 lines. That is the side identifiers, and because each side in B matches with 1 side in A, means that A and B are congruent because they have the same sides, so SSS.

This is confusing to explain, if you have any questions post them in the comments.

Answer:I’m pretty sure it’s b (20.8)

Step-by-step explanation:

Answer:

DFBG

Step-by-step explanation:

At any point in time;

slope m = (y2-y1)/(x2-x1)

1. (3,19) and ((-1,-13)

m = (-13-19)/-1-3 = -32/-4 = 8

Letter here is D

2. we pick out two points to use here from the line

These are ((0,1) and (2,5)

Slope is ;

(5-1)/2-0 = 4/2 = 2

Letter here is F

3. We pick any two points

(1,-8) and (4,-32)

slope =

(-32 + 8)/4-1 = -24/3 = -8

Letter here is B

4. Slope = 8 + 10/0-9 = 18/-9 = -2

letter here is G

Answer:

A right triangle is a triangle that has 90 degrees angle in one of its parts. You are given two points that have coordinate:

x1,y1= (-2, 4)

x2,y2= (-1,1)

To make the angle 90 degrees, there is two possible third point coordinate:

1. x1, y2 = (-2,1)

2. x2, y1= (-1,4)

The right triangle would be option C: (-2,1)

Option A and B is not a right triangle

Step-by-step explanation:

Answer:

the coordinates of vertex E is (6,0)

C(2,0),compare this to(2,4)

same x.but y=0

(6,0)comparing to (6,12)

we get it

Responder:

125 pesos

Explicación paso a paso:

Dado el ingreso total l (v) obtenido de la venta de lápices por la función

Yo (v) = - 2v ^ 2 + 500v

v es el precio de venta de cada lápiz

Para que el ingreso total sea máximo, entonces dI / dv debe ser cero, es decir, dI / dv = 0

dI / dv = -4v + 500

Dado que dI / dv = 0

0 = -4v + 500

4v = 500

Dividir entre 4

4v / 4 = 500/4

v = 125

De ahí que el precio de venta de cada lápiz sea para que el ingreso total sea máximo es de 125 pesos

Answer:

x = 5

Step-by-step explanation:

Step-by-step explanation:

Since CD is the perpendicular bisector of AB, AD = DB.

Hence 6x - 2 = 2x + 18 and x = 5.

Answer:

your answer is $42

Step-by-step explanation:

for $42 you could get 6 tickets for 42 you could get 6 tickets so your answer is letter c

Step-by-step explanation:

4. not enough information

5.SAS

.we have PE congruent to ER

.angle PEF congruent to angle FER

.and EF that is common for both of triangles

6.SSS

.MO congruent to KL

.MK congruent to OL

.KO that is common for both of triangles.

Answer:

See below

Step-by-step explanation:

Statement                                      | Reason                                            

1. m∠A + m∠B + m∠C = 180°         | 1.  Angles in a triangle sum to 180°

2. 28° + x - 4° + 2x = 180°              | 2. Substitution

3. x=(180° - 24°)/3= 156°/3°= 52°   | 3. Algebra

Answer:

Step-by-step explanation:

Think of the equation y = mx + b

So the m is the slope and the b is the y-intercept

m/slope= 3 b/y-intercept= -1

Answer:

x=-14-y/2

Step-by-step explanation:

divide both sides by -2

-2(2x+y)/-2=28/2

simplify

2x+y=-14

subtract y from both sides

2x+y-y=-14-y

simplify

2x=-14-y

divide both sides by 2

2x/2=-14/2-y/2

simplfy

x=-14-y/2

Answer:

12 - B

13 - No

14 - for every 2 feet of rope he pays about $1.50

hope this helps

Step-by-step explanation:

Answer:

Rectangle B

Step-by-step explanation:

Given the expression x^2+7x+6, to get the required rectangle we need to factorize first;

= x^2+7x+6

= x^2+6x+x+6

= x(x+6)  + 1 (x+6)

= (x+1)(x+6)

From line 2 we will see that the terms contains x², 6x, x and 6. The rectangle that contains all this terms is rectangle B. Hence option B is correct.

Step-by-step explanation:

yes I am how about you, I always get stuck on my assignments