A new computer loses 1/2 of its value every year. Which graph could represent the relationship between the year and the computer’s value?

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A New Computer Loses 1/2 Of Its Value Every Year. Which Graph Could Represent The Relationship Between

Answers

Answer 1

Let's first consider: the fact that a new computer loses 1/2 of its value

 ⇒ third choice and fourth choice are eliminated

    ⇒ because of the graph project the computer's value as growing over  

         years

Now let's try to set up an equation:

After 1st year ⇒ Computer's value = [tex]total_.value*\frac{1}{2}[/tex]

After 2nd year ⇒ Computer's value = [tex]total_.value*\frac{1}{2}*\frac{1}{2}=total_.value*(\frac{1}{2} )^2[/tex]

After 3rd year ⇒ Computer's value =[tex]total_.value*\frac{1}{2}*\frac{1}{2}* \frac{1}{2}=total_.value*(\frac{1}{2})^3[/tex]

     

 ..... (Hopefully you see a pattern)

After x year ⇒ Computer's value = [tex]total_.value*(\frac{1}{2})^x[/tex]

Therefore, the equation is: [tex]total_.value*(\frac{1}{2})^x[/tex]

  ⇒that means the graph has to exponentially decreasing as it has

     an exponent (meaning the function is exponential) and a base less

     than 1 (meaning that the function is decreasing)

Answer: Choice (1)

Hope that helps!

Answer 2

Answer:

A

Step-by-step explanation:

After x year, computer's value will be (1/2)^x

So the graph has to exponentially decreasing.

Both A and B show decreasing value but B is linear. So B is incorrect

C and D show increasing value so they are both incorrect.


Related Questions

how to solve for axis of symmetry for y=(x+2)(x-4)

Answers

Answer:

x = 1

Step-by-step explanation:

you can first find the two zeroes

that would be

x + 2 = 0

x - 4 = 0

x = {-2, 4}

then you average them

-2 + 4 = 2

2 / 2 = 1

the aos is 1

Answer:

x=1

Step-by-step explanation:

[tex]y=x^{2} -4x+2x-8[/tex]
[tex]y=x^{2} -2x-8[/tex]   [tex](a=1, b=-2)[/tex]
[tex]x=-\frac{b}{2a} =\frac{-2}{2*1}[/tex]
[tex]x=1[/tex]
[tex]y=(x+2)(x-4), x=1[/tex]
[tex]y=(1+2)(1-4)[/tex]
[tex]y=-9[/tex]

√17 is a number between

Answers

16 and 25! Hope this helps!

Please help I will give the most points

Answers

Answer:

7

Step-by-step explanation:

The format for a coordinate pair is (x-coordinate, y-coordinate). This means the y-coordinate comes second, and since the 7 comes second here we can say that 7 is the y-coordinate.


That is the answer

- Kan Academy Advance

Find the value of x.
25
X

20
X = [?]
Enter the number that belongs in
the green box.

Answers

Answer:

Step-by-step explanation:

x^2 + 20^2 = 25^2

x^2 + 400 = 625

625-400=225

sqrt(225) = 15

x = 15

1. IDENTIFY THE DIFFERENT PARTS OF THE THERMOMETER 100 20 10 30 AN 000​

Answers

they are different temperatures

What is the solution to the trigonometric inequality sin^2(x) > cos(x) over the interval 0<= x <= 2pi radians?

Answers

The solutions to the trigonometric inequality in the interval is given by:

[tex]\frac{\pi}{6} \leq x \leq \frac{5\pi}{6}[/tex], or [tex]\frac{7\pi}{6} \leq x \leq \frac{11\pi}{6}[/tex]

What is the trigonometric inequality?

It is given by:

[tex]\sin^{2}{x} > \cos{x}[/tex]

We have the following identity:

[tex]\sin^2{x} = 2\sin{x}\cos{x}[/tex]

Hence:

[tex]2\sin{x}\cos{x} > \cos{x}[/tex]

[tex]2\sin{x} > 1[/tex]

[tex]\sin{x} > \frac{1}{2}[/tex]

Between the first and second quadrant, the solution is:

[tex]\frac{\pi}{6} \leq x \leq \frac{5\pi}{6}[/tex]

Between the third and fourth quadrants, the solution is:

[tex]\frac{7\pi}{6} \leq x \leq \frac{11\pi}{6}[/tex]

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9.80 x 10^-3 + 1.60 x 10^-4

Answers

Answer:

0.00016098

Step-by-step explanation:

First multiply 9.8 by 10^-3 which equals 0.0098

Then add 0.0098 to 1.6 which equals 1.6098

Then multiply 1.6098 by 10^-4 which equals 0.00016098

Therefore, 0.00016098 is your answer

A grocery wants to make two kinds of coffee. One consoles for $1.40 pound, and the other cells for $2.95 a pound. He wants to makes a total of 21 pounds and sell it for $2.60 per pound. How many pounds of each kind should he use in the new mix? (round off the answers to the nearest hundredth)

Answers

Step-by-step explanation:

a lot of typos in the problem description.

I assume the price of the mix is 1:1 related to the prices of the individual types of coffee.

so, from what I understood we can define

x = pounds of the first type of coffee.

y = pounds of the second type of coffee.

x + y = 21 pounds

1.4x + 2.95y = 2.6(x + y) = 2.6×21 = $54.60

in the second equation we have to bring the given "$2.60 per pound" to the total price, which is $2.60 times the total amount of pounds (which is 21).

from the first equation we get

x = 21 - y

and that we use in the second equation

1.4×(21 - y) + 2.95y = 54.6

29.4 - 1.4y + 2.95y = 54.6

1.55y = 25.2

y = 25.2 / 1.55 = 16.25806452... ≈ 16.26 pounds

x = 21 - y = 4.741935484... ≈ 4.74 pounds

so, he should mix 4.74 pounds of the first (cheaper) type and 16.26 pounds of the second (expensive) type.

HELP PLSSSSSSSSS WIL GIVE BRAINLEST Nathan needs 10 ounces of lemonade.
He needs to know how much liters that is.

A 16
B 5
C 943
D 0.295735

Answers

The volume of 10 ounces of lemonade in litres is 0.295735 litres.

How to convert from ounces to litres?

He needs 10 ounces of lemonade.

To know the volume in litres, we have to convert from ounces to litres.

Therefore,

1 ounces = 0.0295735 litres

10 ounces = ?

cross multiply

volume in litres = 0.0295735 × 10

volume in litres = 0.295735

Therefore, the volume of the lemonade in litres is 0.295735 litres.

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Which of the following phrases are inequalities?Choose 2 answers: A. (8 + f)(8 - f) > 36
B.
C.
D.
E.

Answers

A & C … I just did it

39. What is the value of x?

Answers

Answer:

x = 15

Step-by-step explanation:

the sum of the exterior angles of a polygon = 360°

sum the 5 exterior angles and equate to 360

5x + 3 + 4x + 8 + 5x + 5 + 6x - 1 + 3x = 360 , that is

23x + 15 = 360 ( subtract 15 from both sides )

23x = 345 ( divide both sides by 23 )

x = 15

What is the value of

(1/8)^-1/3

PLEASE I NEED THE AWNSER QUICK PLEASE AND TY

Answers

Answer:

2.66666666667

Step-by-step explanation:

(1/8)^-1/3 means 1/8 to the -1/3 power, which equals 2.66666666667. So the answer is 2.66666666667.

How many hours must Miguel worked to receive $10,000 in total pay?

Answers

Using the linear equation, Miguel must work for 160 hours to receive $10,000 in total pay

Complete Question:

Miguel works as a technician in a company. If his hourly rate and flat pay are $50 and $2000, how many hours must Miguel worked to receive $10,000 in total pay?

How to determine the number of hours?

Let the number of hours be x and the total pay be y.

The equation that represents the total pay is represented as:

y = Rate * x + Base pay

From the question, we have:

Base pay = 2000

rate = 50.

So, we have:

10000 = 50 * x + 2000

Subtract 2000 from both sides

8000 = 50x

Divide both sides by 50

x = 160

Hence, Miguel must work for 160 hours

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Find slope and intercept of the line 3x - 2y - 7 = 0

Answers

The slope and intercept of the line 3x - 2y - 7 = 0 are -1.5 and -3.5 respectively

How to determine the slope and the intercept?

The equation of the line is given as:

3x- 2y - 7 = 0

Add 7 to both sides

3x - 2y = 7

Subtract 3x from both sides

-2y = -3x + 7

Divide both sides by -2

y = -1.5x -3.5

A linear equation is represented as:

y = mx  + c

Where m represents slope and c represents the intercept

By comparison;

m = -1.5 and c = -3.5

Hence, the slope and intercept of the line 3x - 2y - 7 = 0 are -1.5 and -3.5 respectively

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If I have $1,050 dollars, and I want to buy something 6 times for $45 dollars, how much times can I buy it until I run out of money?

Answers

Answer:

140

Step-by-step explanation:

here,

You have 1050

now

$1050(45×6)

=140 items

even numbers less than 9

Answers

Answer:

2, 4, 6, 8

Step-by-step explanation:

even numbers are numbers that can be equally split in half.

Example:

2 ⇒ 1 - 14 ⇒ 2 - 26 ⇒ 3 - 38 ⇒ 4 - 4

vertex of y = −2(x−4)2 + 3
and identify it as a minimum or a maximum.

Answers

An equation is formed of two equal expressions. The vertex of the equation y=-2(x-4)²+3 will lie at (4,3).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.


If we plot the graph of y=-2(x-4)²+3, then the vertex of the graph will lie at (4,3).

Hence, the vertex of the equation y=-2(x-4)²+3 will lie at (4,3).

Learn more about Equation:

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write down the equation for the following expression and then solve it.


The product of 3 and 4 less than a number is 12.​

Answers

Answer:

x = 24

Step-by-step explanation:

x - (3 · 4) = 12

x - 12   =     12

  + 12      + 12

x = 24

Answer: x - (3 * 4) = 12, x = 24

Step-by-Step Explanation:

Let ‘x’ be the Unknown Number

Framing the Equation :-

=> x - (3 * 4) = 12

Solving the Equation :-

x - (3 * 4) = 12 (First Multiply 3 and 4)
x - (12) = 12 (Now, open the bracket)
x - 12 = 12 (Now, shift 2 to RHS)
x = 12 + 12 (12 becomes positive)
=> x = 24

Hence, the Unknown Number is 24.

Slopes of parallel \perpendicular lines

Answers

Hello, the answer should be [tex]m=\frac{6}{5}= 1,2[/tex].

First, let's edit the given function as [tex]y[/tex] parameter leave alone.

[tex]15x+18y=270\\\\18y=270-15x\\\\y=\frac{270-15x}{18}\\ \\y=\frac{270}{18}-\frac{15x}{18}[/tex]

IMPORTANT!

If the given equation looks like;

[tex]y=f(x)\\\\y=ax+b[/tex]

then, the slope of the equation is the coefficient of [tex]x[/tex] parameter ([tex]a[/tex])

The slope(m);

[tex]m=\frac{-15}{18}=\frac{-5}{6}[/tex]

The product of the slopes of two perpendicular lines must be [tex]-1[/tex]. By that way, the slope of a line perpendicular to the given line is below:

[tex]m_{expected}=\frac{-1}{m_{given}} \\\\m_{expected}=\frac{-1}{\frac{-5}{6} }=\frac{6}{5}[/tex]

Good luck. If you have any questions, then feel free to ask in comments!

if 3\2 =x\12 what is the value

Answers

[tex]\frac{3}{2} =\frac{x}{12}[/tex]

---Cross multiply

2x = 36

---Divide both sides by 2

x = 18

Hope this helps!

The three dot plots together are the scores of teenagers in three samples from this population. Which of the three samples is most representative of the population? Explain how you know.

Answers

The sample that is most representative of the population is: sample 3.

What is a Representative Sample of a Population?

A representative sample of a population can be defined as a subset of that particular population that reflects almost or same characteristics of the main population such as the shape, center, and spread.

From the three dot plots given, the one that has almost same pattern and characteristics is sample 3 considering it has almost similar spread and shape.

Thus, the most representative sample is: sample 3.

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Joe bought a $40 video game for only $28, what was the percent discount on
the item?

Answers

Answer:

30 % off

Step-by-step explanation:

12 dollars off of 40

40 (x) = 12

x = 12/40 = .3     or  30 %

what's the answer
1. The function below shows the weekly earnings of Alice from her job last summer.

Answers

a) We kindly invite to check the image attached below to see a detailed graph of the piecewise function.

b) The piecewise function is continuous.

How to understand a piecewise function

A piecewise function is a conditional combination of two or more functions, whose expression depends on which value of the domain is the function evaluated at.

a) The piecewise function described in the question is plotted on a graphing tool (i.e. Desmos), whose result is presented in the image attached below.

b) A function is continuous if and only if there is one value from range for every value of domain. The piecewise function is continuous as linear functions are continuous and the two functions of the conditional combination have the same value for x = 30.

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what is a conditional statement that correctly and accurately represents the statement all people who vote in US elections must be 18 or older ​

Answers

A conditional statement to demonstrate the situation presented would be: If a person can vote -> Then they are over 18 years old. An alternative to this would be: If a person is 18 years or older -> Then they can vote in the United States elections.

What is a conditional statement?

A conditional statement is a type of structure to express the relationship between two dependent variables. Its structure is as follows:

If P, then Q...

According to the above, two conditional statements about voting in the United States would be:

If a person can vote -> Then he is over 18 years old. If a person is 18 years old or older -> Then they can vote in the United States elections.

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please help will give branliest

Answers

This proof was correctly started by both eric and maggie.

The next step in the proof is to set the right side of the equations equal.

This would be done by the transitive property of equality.

What is a Mathematical Proof?

This refers to the use of inference to make an argument to show the logical conclusion to a set of assumptions.

Based on the given diagram that shows Triangle XYZ and the mathematical proof that both Eric and Maggie are trying to prove, they both give the correct proof and the next step was to make the right side of the equations equal.

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Answer:

1: both

2: set the right side

3: transitive property

Step-by-step explanation:

got it right on plato :)

Please answer correctly!

Answers

Answer:

I. Evaluate the largest angle when x = 15

Explanation:

First, solve for x:

x + 8x + x + 30 = 180

10x = 180 - 30

10x = 150

x = 15

Here in the question, his friend wants to find the largest angle in triangle.

So, input x = 15 in the largest angle.

Which is, 8x = 8(15) = 120° <--- largest angle in the triangle.

Dean Field is a bookkeeper for a retail shop. He is super excited about his upcoming two-week vacation to Hawaii. His flight leaves to Honolulu at 7pm on Friday. At 4:45pm on Friday he realizes the company’s trial balance is a mess and it does not balance. He places random numbers in the General Ledger system to make it balance and leaves the office to catch his flight. He knows he can correct the situation when he returns from his vacation. What are your thoughts about this case?

Answers

The fact that Dean Field places random numbers in the general ledger system to make it balance and leaves the office to catch his flight is wrong.

What is a ledger?

It should be noted that a ledger simply means a record of the balance of each of the accounts of a business.

In this case, when he realizes the company’s trial balance is a mess and it does not balance, he should have waited and ensured that he re calculated it and made it balance.

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Drag the tiles to the correct boxes to complete the pairs.
Match the systems of equations with their solution sets.
y + 12 = 1² + s
s+y = 3
y - 17 = 12 -9r
- + y = 1
Solution Set
(2,3) and (8,9)
(-2,3) and (7-6)
(-2,5) and (3,-5)
(-5,8) and (3,0)
y-15 = -12 + 4s
=+y=1
y + 5 = 1²-3r
2s + y = 1
Linear-Quadratic System of Equations

Answers

Answer:

y+12=1+s = (-5,8)(3,0)

y-17=12-9r = (2,3)(8,9)

y-15=-12+4x = (-2,3)(7,-6)

y+5=x-3x = (-2,5)(3,-5)

A community organization wants to determine area support for the construction of a new skate park in the center of town. The organization decides to survey 500 people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park.

What is the best way to randomly choose these 500 people?

Answers

The method that can be used to randomly choose these 500 people is the use of systematic random sampling.

What is random sampling?

Random sampling is defined as the method of sampling in which the whole sampling frame is being considered.

In order the survey a community of people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park, both the male and female should be considered.

The systematic random sampling will give the both male and female equal opportunity to the chosen.

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Find the constant of proportionality for the table of values.
The constant of proportionality is k = ___

Answers

Answer:

K=3.5

Step-by-step explanation:

1. y/x=k

2. 7/2 or

[tex]7 \div 2 =[/tex]

( 3.5 )

3. 10.5/3 or divided by 3 is 3.5

4. Continue divided y/x and if you get same answer than your constant of proportionality is 3.5 only for this question.

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