If you have a problem that has multiple variables, you can solve it using a
system of equations. Think of a real-world example where you would need
to solve using a system of equations. Write two or three sentences
describing your example. Include the equations in your description, but do
not solve the system. That will be left to your classmates. helppppp

Answer:

10.5% compounded quarterly will be worth more at the end of 7 years.

Step-by-step explanation:

Investment 1:

Principal=$1,000

t=7 years

n=12 months

r=9%=0.09

FV=PV(1+r/n)^nt

Where,

FV=future value

PV=present value

r=interest rate

t=time (years)

n=number of periods

FV=PV(1+r/n)^nt

=1000(1+0.09/12)^12*7

=1000(1+0.0075)^84

=1000(1.0075)^84

=1000(1.8732)

=1,873.2

FV=$1,873.2

Investment 2:

Principal=$1,000

t=7 years

r=10.5%=0.105

n=4

FV=PV(1+r/n)^nt

=1000(1+0.105/4)^4*7

=1000(1+0.02625)^28

=1000(1.02625)^28

=1000(2.0658)

=2,065.8

FV=$2,065.8

10.5% compounded quarterly will be worth more at the end of 7 years.

[tex]\\ \sf\longmapsto -6-(2x+7)=-2(x+6)-1[/tex]

[tex]\\ \sf\longmapsto -6-2x-7=-2x-12-1[/tex]

[tex]\\ \sf\longmapsto -2x-13=-2x-13[/tex]

[tex]\\ \sf\longmapsto 2x-2x=0[/tex]

[tex]\\ \sf\longmapsto 0[/tex]

Answer:

Step-by-step explanation:

(2x + 7) = - 2(x + 6) - 1

2x + 7 = - 2x + 12 - 1

2x - 2x = 12 - 7 - 1

0x = 4

= 4

Answer:

1st circle: 1.25

Second circle: 2

Step-by-step explanation:

We can use the cross product property here to find the value of what's in the circles.

Let's first look at the first two fractions.

[tex]\frac{x}{5} = \frac{1}{4}[/tex]

We can multiply the cross values and divide by the number that is diagonal to the variable.

[tex]5\cdot1 = 5\\5\div4 = 1.25[/tex]

So 1.25 goes in the first circle.

Now let's look at the last two circles and use the same property to find the missing value.

[tex]\frac{1}{4} = \frac{0.5}{x}\\ 4\cdot0.5 = 2\\2\div1 = 2[/tex]

So 2 goes in the second circle.

Hope this helped!

Answer:

x = 5/4

Step-by-step explanation:

Use the variable 'x' instead of 'the circle.'  Then:

 x         1

----- = ------

 5         4

Cross-multiplying, we get

4x = 5, and so x = 5/4

Answer:

486 ft²

Step-by-step explanation:

If the cube volume is 729 ft³, then the length of one side is

∛(729 ft³) = 9 ft.

The cube (like all cubes) has 6 identical sides, each 9 ft by 9 ft, or 81 ft².

Label each side with '81 ft²'

Since there are 6 such sides, the total surface area is 6(81 ft²) = 486 ft²

Answer: [tex]9.18 x 10[/tex]⁷[tex]tons[/tex]

Step-by-step explanation:

Given: The amounts of paper waste generated in a region during two years were 41,300,000 tons and 50,500,000 tons.

Then, the total paper waste generated over these two years in the region :-

[tex]41,300,000 + 50,500,000 = 91,800,000[/tex]

In scientific notation,

[tex]91,800,800 = 9.18 x 10[/tex]⁷

Hence, the total paper waste generated over these two years in the region =

[tex]9.18 x 10[/tex]⁷  [tex]tons[/tex]

Answer:

(f•g)(2)=3 and (g•f)(6)=7

Step-by-step explanation:

look at the tables

where x is equal to both 2 and 7 is where you will find your answer

Hope this helps you!

Answer:

In 3 - 5:  

3 + (-5), and -5 + 3

In 5 - 3:

5 + (-3), and -3 + 5

Step-by-step explanation:

Category : 3 - 5

Values must equal -2

3 + (-5) = 3 - 5 = -2

-5 + 3 = -2

Category : 5 - 3

Values must equal 2

5 + (-3) = 5 - 3 = 2

-3 + 5 = 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Graph these two points: (0, 360), (30, 0)

Step-by-step explanation:

Since Amir drove for 30 minutes at a rate of 12 meters, that means that he started at an elevation of 360 feet. The easiest way to graph this, is to place one dot at (0, 360), and at (30, 0).

The straight line joining the points (0, 360) and (30, 0) will be the graph.

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                              {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)     {Two point - slope form}

x/a + y/b = 1                                       {intercept form}

x cos(β) + y sin(β) = L                         {Normal form}

For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

We have Amir who drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was at sea level after 30 minutes of driving.

We can write the equation of graph as -

y = - 12t + 360

At t = 0 -

y = 0 + 360

y = 360

and

at t = 30 minutes -

y = - 12 x 30 + 360

y = - 360 + 360

y = 0

The straight line joining the points (0, 360) and (30, 0) will be the graph.

Therefore, the straight line joining the points (0, 360) and (30, 0) will be the graph.

To solve more questions on straight lines, visit the link below-

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Answer:

Yes it really does mean cup.

Step-by-step explanation:

This can only contian 1 jar

12.5 cups are equal to 100 ounces

if there are 100 oz in that little jar then only 1 large jar can be filled by a lttile jar.

Answer:

x = 0, x = 4

Step-by-step explanation:

12x - 21 = 5x + 7(x - 3)

First, foil out the right side --> 5x² - 15x + 7x - 21, which simplifies down to 5x² - 8x - 21.

Move the 12x - 21 to the right side by subtracting --> 0 = 5x² - 20x.

Factor out a 5x --> 0 = 5x(x - 4)

If you want to solve for x, set 5x = 0 and x - 4 = 0.

For 5x = 0, divide both sides by 5 to isolate the x --> x = 0/5, which simplifies down to x = 0.

For x - 4 = 0, add 4 to both sides to isolate the x --> x = 0 + 4, which simplifies down to x = 4.

Plug the values back into the original equation to check if it works

12(0) -21 = 5(0) + 7((0) - 3) --> -21 = -21

12(4) - 21 = 5(4) + 7((4) -3) --> 27 = 27

Hope this helps!

Answer:

Step-by-step explanation:

how do i circle? i know answer but how to tell you?

Answer:

1/18(x-2)^2+45/18=y

Step-by-step explanation:

(x-2)^2+(y-7)^2=(y+2)^2

(x-2)^2+y^2-14y+49=y^2+4y+4

(x-2)^2-14y+49=4y+4

(x-2)^2+45=18y

1/18(x-2)^2+45/18=y

Answer:

85.6 degrees.

Step-by-step explanation:

The given equations of lines are

[tex]3x-5y=-15[/tex]

[tex]4x+2y=7[/tex]

We need to find the measure of the acute angle formed by these lines.

[tex]Slope=\dfrac{-\text{Coefficient of }x}{\text{Coefficient of }y}[/tex]

Slope of given lines are

[tex]m_1=\dfrac{-3}{-5}=\dfrac{3}{5}[/tex]

[tex]m_2=\dfrac{-4}{2}=-2[/tex]

Angle between two lines is

[tex]\tan \theta = \left|\dfrac{m_1-m_2}{1+m_1m_2}\right|[/tex]

[tex]\tan \theta = \left|\dfrac{\dfrac{3}{5}-(-2)}{1+\dfrac{3}{5}(-2)}\right|[/tex]

[tex]\tan \theta = \left|\dfrac{\dfrac{3+10}{5}}{\dfrac{5-6}{5}}\right|[/tex]

[tex]\tan \theta = \left|\dfrac{13}{1}\right|[/tex]

[tex]\tan \theta = 13[/tex]

[tex]\theta = \tan^{-1}(13)[/tex]

[tex]\theta \approx 85.6^{\circ}<90^{\circ}[/tex]

Therefore, the acute angle between given lines is 85.6 degrees.

Answer:

Add 14 to each side to undo the -14. Divide both sides by 6 to undo the 6x, and  simplify to get 5.  

Step-by-step explanation:

Answer:

A. 9%; $440.36 million

Step-by-step explanation:

Using A(1+r)t, we can subtract 1-1.09=.09*100=9%.

That means the projected annual growth is 9%

Now we can calculate the worth of the company by replacing t=8, 2008-2000=8

[tex]w=221(1.09)^8\\=440.356=440.36 million[/tex]

Answer:

cos y = r/q

Step-by-step explanation:

If we know sin y = 7/q, then we know that the base is 7 and the hypotenuse is q due to sine = opposite/hypotenuse.

If we know tan y = 7/r, then we know that the base is 7 and the right side is r due to tan = opposite/adjacent.

Cos = adjacent / hypotenuse

So cos y = r/q, because the right side is r and the hypotenuse is q.

Answer:

ignore sorry

Step-by-step explanation:

[tex]\\ \sf\longmapsto \dfrac{12}{25}\times 100[/tex]

[tex]\\ \sf\longmapsto \dfrac{12\times 100}{25}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1200}{25}[/tex]

[tex]\\ \sf\longmapsto 48\℅[/tex]

Answer:

A. The students tend to have fewer siblings than the teachers.

Step-by-step explanation:

First we need to draw the dot plots correctly. If you count both sides they have 20 each.

Now, clearly none have fewer nobody here yet has more or less but going on to the next step.

Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14.  And so on.

On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.

So the answer is A. The students tend to have fewer siblings than the teachers.

Answer:

The sum is A

Step-by-step explanation:

Just ma duty to help the community

Answer:

-7

Step-by-step explanation:

The relative minimum is the smallest y value

The relative minimum is -7

Answer:

C) Distance =5 units

Step-by-step explanation:

[tex]x_1=1\\y_1=1\\x_2 =5\\y_2 = 4\\\\d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 } \\\\d = \sqrt{(5-1)^2+(4-1)^2} \\\\d = \sqrt{(4)^2+(3)^2}\\ \\d = \sqrt{16+9}\\ d = \sqrt{25}\\ \\d = 5[/tex]

Using the formula for the distance between two points, it is found that the distance between points A and B is given by:

C) 5 units.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, the points are A(1,1) and B(5,4), hence:

[tex]D = \sqrt{(5-1)^2+(4-1)^2} = \sqrt{25} = 5[/tex]

Hence option C is correct.

More can be learned about the distance between two points at https://brainly.com/question/18345417

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Answer:

x-axis

Step-by-step explanation:

Answer:

It is the x-axis

Step-by-step explanation:

In  a graph, the horizontal part of it is called the x axis.

Here is an definition: horizontal axis of a system of coordinates, points along which have a value of zero for all other coordinates

Answer:

1  :2

Step-by-step explanation:

12 are yellow, 4 are pink

To find the number of red

24 -12 -4 = 8

There are 8 red balls

We want the ratio of

red: yellow or pink

8 : 12+4

8 :16

Divide each side by 8

8/8 : 16/8

1  :2

Answer:1:2

Step-by-step explanation: 12 yellow + 4 pink= 16

24 balls total minus 16 =8 red balls so 8:16=1:2

Answer:

I would say b

Step-by-step explanation:

3 x 10^-4

Answer:

3(4)to the 3

Step-by-step explanation:

Answer:

The domain and range of this relationship is (-∞,∞) and (-∞,∞) respectively.

Step-by-step explanation:

We are given that Carly is traveling to visit family.

She drive distance on first day = x

She drive distance on second day = y

We are also given that Carly is travelling a total of 800 miles.

So,x+y=800

We are supposed to find domain and range of this relationship.

y=800-x

Domain : (-∞,∞)

Range:(-∞,∞)

Hence the domain and range of this relationship is (-∞,∞) and (-∞,∞) respectively.

Answer:

domain: 0 ≤ x ≤ 800

range: 0 ≤ y ≤ 800

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

The  zeroes ( = x-intercepts) are x = -3 and x = -1.

So the x -coordinate of the vertex is between x = -3 and x = -1.

The actual x-coordinate is halfway between these value: at x = -2.

Answer:

x = -3 or x = -1

Step-by-step explanation:

f(x) = (x + 3)(x + 1)

⇒ x = -3 or x = -1

Answer: The probability would be 1/3.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Only '1' and '2' are less than '3' on a 6-sided die.

Thus, only 2 out of 6 outcomes are of interest.

The probability of rolling a number less than three on a six-sided die is therefore 1/3.

Answer:

184

Step-by-step explanation: