Sheri's brother gave Sam his collection of stamps when she left for college. At that
time, the value of the collection was $420. Eight years later, the stamp collection
was worth $980. What is the rate of change?

Answers

Answer 1

Answer: $70 per year.

Step-by-step explanation:

Let's say that x is the number of years that has passed and y is how much the stamp is worth.

So we know that in zero years the stamp was worth $420 because that is the time Sheri gave her brother Sam the stamp. That could bring up the coordinates  (0,420) .

Now we know that in 8 years it was worth $980 and that could be the coordinates (8,980)

To find the rate of change we need to find the different between the y value and divide it by the difference in the x values.

420 - 980 = -560

 0-8 = -8

-560/-8 = 70

The rate of change is 70 which means that it grew by $70 every year.


Related Questions

Which transformation will map an isosceles trapezoid into itself

Answers

Reflection through the middle

If f(x) = 6x-4, what is f(x) when x = 8?
02
O 16
O 44
O 52

Answers

Answer:

f(8) = 44

Step-by-step explanation:

Simply plug in 8 for x:

f(8) = 6(8) - 4

f(8) = 48 - 4

f(8) = 44

I need help on this problem please

Answers

Answer:

x = -2

Step-by-step explanation:

Step 1: Substitute h(x) for -9

-9 = 4x - 1

Step 2: Solve for x

-8 = 4x

x = -2

Answer:

x = -2.

Step-by-step explanation:

h(x) = 4x - 1, h(x) = -9.

-9 = 4x - 1

4x - 1 = -9

4x = -8

x = -2

Check your work!

4 * (-2) - 1

= -8 - 1

= -9

Since it works out, x = -2.

Hope this helps!

Write the answer using scientific notation.
(2 x 10^13)^-2

Answers

Answer:

2.5 * 10^-27.

Step-by-step explanation:

(2 x 10^13)^-2

= 2^-2 x 10^-26

= 1/2^2 x 10^-26

= 0.25 x 10^-26

= 2.5 * 10^-27.

━━━━━━━☆☆━━━━━━━

▹ Answer

2.5 x 10⁻²⁷

▹ Step-by-Step Explanation

(2 x 10¹³)⁻²

2⁻²(10¹³)⁻²

0.25 x (10¹³)⁻²

0.25 x 10⁻²⁶

2.5 x 10⁻²⁷

Hope this helps!

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Brainliest is greatly appreciated!

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The water usage at a car wash is modeled by the equation W(x) = 4x3 + 6x2 − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours.

Write a function, C(x), to model the water used by the car wash on a shorter day

Answers

Answer:

The second option.

Step-by-step explanation:

We are trying to find what is W(x) - D(x).

(4x^3 + 6x^2 - 11x + 7) - (x^3 + 2x^2 + 15)

= 4x^3 - x^3 + 6x^2 - 2x^2 - 11x + 7 - 15

= 3x^3 + 4x^2 - 11x - 8

This corresponds to the second option.

Hope this helps!

A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8

What is an equation?

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

The water usage at a car wash is modelled by the equation W(x) = 4x³ + 6x² − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The amount of decrease in water used is modelled by D(x) = x³+ 2x² + 15, where D is the amount of water in cubic feet and x is time in hours.

Now the amount of water is cut from the total water usage so to find out the new model c(x) we need to subtract the decrease in water from the total water usage.

We are trying to find what

C(x)  =  W(x)   -    D(x)

C(x)  =   (  4x³   +   6x²  −   11x   +  7, )  -  (  x³   +  2x²  +  15  )

C(x)   =   4x³  -  x²  +  6x²  -  2x³  - 11x  +  7  - 15

C(x)   =   3x³  +  4x²  -  11x  -   8

Therefore A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8

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how many linear equations in x and y can be satisfied by x=1 and y=2

Answers

Answer:

Infinitely many linear equations

Step-by-step explanation:

a + 2b + c = 0

x = 1 and y = 2

The probability of pulling out a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time, and putting the marble back each time for 600 tries, approximately how many time would you select a green marble?? ( explanation too) 7th grade Math

Answers

THIS IS THE COMPLETE QUESTION BELOW;

The probability of pulling a green marble out of a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time, and putting the marble back each time for 600 tries, approximately how many time would you select a green marble?? ( explanation too) 7th grade Math

Answer:

We would approximately pick a green marble 240 times

Step-by-step explanation:

Given from the question the probability of pulling a green marble out of a bag of colored marbles is 2:5

Let us denote the number of trials as X

Now the approximately number of times a green marble can be selected would be

=2/5 times

From the question we are given 600 trials

which implies our x=600

Therefore, the number of times we would pick a green marble is:

2/5 × 600 times

≈ 240 times

Therefore, we would approximately pick a green marble 240 times

It takes 20 minutes to make 4 model airplanes. How many model airplanes can be made in 2 hours?

Answers

Answer: 24 model airplanes can be made in 2 hours.

Step-by-step explanation:

Answer:I believe its 24 because each plane takes 5 minutes so that's  12 in an hour so multiply by 2 and you get 24

Step-by-step explanation:

escribe falso o verdadero según corresponda: Para comparar las fracciones [tex]\frac{7}{13}[/tex] y [tex]\frac{2}{11}[/tex] se comparan los denominadores 2 copia y escribe , segun corresponda [tex]\frac{4}{11}[/tex] - [tex]\frac{7}{3}[/tex]

Answers

Answer:

sorry bro don't read Spanish but it's not over 3

Step-by-step explanation:

como resuelvo este ejercicio de matematica x +824 = 6 789 en propiedad uniforme

Answers

estero que esto de ayudo

A rectangle has a length of 12 mm and a width of 15 mm. Which statement best describes the change in the
A new rectangle was created by multiplying all of the perimeter of the new rectangle?
dimensions by a scale factor of 3.
The new perimeter will be times the perimeter of
2
the original rectangle.
WI-
15 mm
5 mm
4 mm
The new perimeter will be times the perimeter of
the original rectangle.
The new perimeter will be 2 times the perimeter of
the original rectangle.
The new perimeter will be 3 times the perimeter of
the original rectangle.
12 mm

Answers

ANSWER:

The new perimeter will be 1/3 times the perimeter of the original rectangle.

;p :D

Answer:

1/3

Step-by-step explanation:

Pleas Help 9th grade work

Consider the reflectional symmetry of the shape.
How many lines of symmetry does the shape have?
2
3
4
5

Answers

Answer:

4.

Step-by-step explanation:

One line of symmetry is horizontal ( through the centre of the horizontal part of the cross).

Another is a vertical line through the centre of the vertical part.

Then there are 2 diagonal lines of reflectional symmetry.

The answer is 4 lines of symmetry

Julio and Rosa are as old as the values ​​of x obtained by solving the equation (x + 8) (x-3) +4 (x + 2) = 2 (x-4) * 2-11x. If july is older than rose, determine their ages

Answers

Answer:

10 and 13

Step-by-step explanation:

John Barosa and John Warosa

Solve
3x2 - 5x - 1 = 0

Answers

Answer:

x = -0.18046, 1.84713

Step-by-step explanation:

Since we cannot factor the quadratic, we need to use quadratic formula ([tex]x = \frac{-b+/- \sqrt{b^2-4ac} }{2a}[/tex]):

a = 3

b = -5

c = -1

[tex]x = \frac{-(-5) +/- \sqrt{(-5)^2-4(3)(-1)} }{2(3)}[/tex]

[tex]x = \frac{5+/- \sqrt{25 + 12} }{6}[/tex]

[tex]x = \frac{5+/- \sqrt{37} }{6}[/tex]

If i make $8.00 per hour and work 6 hours a day 5 days per week how much would my check be bi-weekly?

Answers

Answer:

480$

Step-by-step explanation:

Bi-weekly means every other week. So it is 6 times 5, because u work 30 hours a week. Than 30 (hours) times 8 (money per hour). This is 240 a week. So 240 times 2 is 480.

whivh one is for least to greatest 8/10,0.9,1/2​

Answers

Answer:

1/2, 8/10, 0.9

Step-by-step explanation:

Convert to decimals.

8/10 = 0.8

0.9

1/2 = 0.5

Arrange from least to greatest.

0.5, 0.8, 0.9

1/2, 8/10, 0.9

Answer this ASAP please

A. a=2, b=27, c=3

B. a=2, b=-27, c=-3

C. a=2, b=-3, c=-27

D. a=2, b=3, c=27

Answers

Answer:

Third Choice: a = 2, b = -3, c = -27

Step-by-step explanation:

The equation to be solved with the quadratic formula must be written in the form

ax^2 + bx + c = 0

2x^2 = 27 + 3x

Subtract 3x from both sides. Subtract 27 from both sides.

2x^2 - 3x - 27 = 0

Now we see we have

a = 2, b = -3, c = -27

Answer: Third Choice

In my town, gas prices are always listed to the thousandths place. Since the smallest coin
we have is the penny, we have to round them to the hundredths place. If the price of gas
is $7.961, what will the price be when we round it to the hundredths place?

Answers

Answer: 7.96

Step-by-step explanation:

Rounded to the nearest "Hundredths place" is the second digit in the decimal number which would be 6. 1 is less than 5 so you just get rid of them 1 and qualify it as 7.96

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how many stakes 5.5 feets long can be cut from 10 lengths of lumber each 12 feet long

Answers

Answer:

20 or 21 stakes

Step-by-step explanation:

It would be 20 if you were not able to use the extra wood after cutting two 5.5 foot long segments from each lumber. If you can use the extra 1 foot from each lumber then you would have an extra 10 feet of lumber which you could get one 5.5 foot long stake from.

The number of stakes will be 22.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that 5.5 feet long can be cut from 10 lengths of lumber each 12 feet long.

The total length is calculated as:-

Total length = 12 x 10 = 120 feet

Number of stakes = 120 / 5.5 = 21.81 ≅ 22

Hence, the number of stakes is 22.

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Next consider a different scenario. Instead of Mexico experiencing rapid economic growth suppose that Canada experiences rapid and prolonged economic growth. Consider the affect of Canada economic growth on the economic growth of various us states. Move states that should grow quickly

Answers

The correct answer to this open question is the following.

Although the question does not include references, under that context we can say that if Canada experiences rapid and prolonged economic growth, instead of México, this would affect Canada's economic growth for the better and it will have a direct impact in various US states, basically, the border states to Canada.

This would mean more trade relations and people border crossing activity due to the increase of trade and businesses.

However, let's have in mind that México, Canada, and the United States have signed a new trade agreement that substitutes the North American Free Trade Agreement (former NAFTA). The new agreement is called USMCA, the United States, México, and Canada Agreement, and creates tight trade bonds between the three countries.

Answer:

grow quickly: michigan minnesota new york

not impacted: texas n. carolina

Step-by-step explanation: states that border canada are expected to gain from trade easier.

how much is 4 raised to 4?​

Answers

Answer:

4 raised to 4 is 256

Step-by-step explanation:

Answer: 256

Step-by-step explanation:

Remember: to calculate by elevated you have to calculate the same number the same number of times. For example: 4 raised by 4 is: 4 x 4 x 4 x 4 and that multiplication results in: 256. I hope and it has helped you ;)

Question 2 (Multiple Choice Worth 1 points)
(05.05 LC)
What shape best describes the cross section cut parallel to the base of a right rectangular prism?
O Rectangle
O Parallelogram
O Square
Trapezoid​

Answers

Answer:

B. parallelogram

Step-by-step explanation:

A rectangular prism has a rectangle as its base .

Express 0.035 metre into km​

Answers

Answer:

[tex]0.000035km[/tex]

Step-by-step explanation:

[tex]1km =1000m \\ x = 0.035m[/tex]

[tex]use \: \: cross \: \: multipication[/tex]

[tex]0.035 \times 1 = 1000x \\ 0.035 = 1000x \\ \frac{0.035}{1000} = \frac{1000x}{1000} \\ x = 0.000035km[/tex]

Answer:

0.000035 kilometer

Step-by-step explanation:

1 kilometer = 1000 meters

x = 0.035 meter

Let the unknown value be x.

Cross multiplication.

1000 × x = 1 × 0.035

1000x = 0.035

Divide both sides by 1000.

(1000x)/1000 = 0.035/1000

x = 0.000035

which numbers below belong to the solution set of the inequality? Check all that apply. x -9 < 32 A) 41 B) 24 C) 53 D) 40 E) 36 F) 45

Answers

Answer:

[tex]a)41[/tex]

Step-by-step explanation:

[tex]x - 9 < 32[/tex]

[tex]by \: collecting \: like \: terms[/tex]

[tex]x < 32 + 9[/tex]

[tex]x < 41[/tex]

Answer:

B) 24

D) 40

E) 36

Step-by-step explanation:

x - 9 < 32

Add 9 on both parts.

x - 9 + 9 < 32 + 9

x < 41

x is lesser than 41.

24, 40, and 36 are lesser than 41 from the list.

Gabriela has dinner at a cafe and the cost of her meal is
$
45.00
$45.00dollar sign, 45, point, 00. Because of the service, she wants to leave a
15
%
15%15, percent tip.
What is her total bill including tip?

Answers

Answer: 51.75

Step-by-step explanation: 15 precent of 45 is 6.75

                                              Then add 45+6.75

Answer:

Her total including the bill will be $51.75

Step-by-step explanation:

15% of $45

= $6.75

$45 + $6.75 = $51.75

in 2005 there were 9million bicycles in Beijing, correct to the nearest million.the average distance travelled by each bicycle in one day was 6.5km correct to one decimal place. WORK OUT THE UPPER BOUND FOR THE TOTAL DISTANCE TRAVELLED BY ALL THE BICYCLES IN ONE DAY.​

Answers

In 2005 there were 9million bicycles in Beijing

s the ordered pair (6, 5) a solution to the equation 3x − 4y = −2?

Answers

Answer:

Yesh.

Step-by-step explanation:

3x - 4y = -2

3 * 6 - 4 * 5 = -2

18 - 20 = -2

-2 = -2

So, the ordered pair is a solution to the equation.

Hope this helps!

Answer:

Yes, it is

Step-by-step explanation:

If you add in the numbers, you get

(3*6)- (4*5)=-2.

then solving it, you get

18-20= -2

which is correct. (18-20 IS -2)

so, the ordered pair is a solution to the problem. Hope this helps :)

Solve 2(ax-by)+(a+4b)=0, 2(bx+ay)+(b-4b) using linear equation

Answers

Answer:

The answer is below

Step-by-step explanation:

2(ax-by)+(a+4b)=0                   .              .               .         1)

2(bx+ay)+(b-4a) = 0              .                 .                 .         2)

Equation 1 gives:

2ax - 2by + a + 4b = 0          .                .             .      1)

Equation 2 gives:

2bx + 2ay + b - 4a    =    0     .              .                   .     1)

Multiplying equation 1 by a and equation 2 by b :

2a²x - 2aby + a² + 4ab = 0

2b²x + 2aby + b² - 4ab = 0

Adding together:

2a²x  +  2b²x + a² + b² = 0

2x (a² + b²) = -(a² + b²)

2x = -1

x = -1/2

Multiplying equation 1 by b and equation 2 by a:

2abx · 2b²y + ab + 4b² = 0

2abx + 2a²y + ab - 4a² = 0

Subtracting:

2y(a² + b²) - 4(a² + b²) = 0

2y(a² + b²) = 4(a² + b²)

2y = 4

y = 2


When shopping for accessories for her action camera, Giana found an advertisement for a replacement battery. The advertisement includes
the given graph of a function to represent the charge remaining in the battery after streaming x hours of video.

Answers

Answer:

The correct options are;

The equation of the function is 2·y = -25·x + 200

The equation of the function is y = -25/2·x  + 100

The x-intercept of the function is (8, 0)

Step-by-step explanation:

From the graph of the function, the y-intercept is observed at (0, 100), the x-intercept occurs at (8, 0)

Therefore, we have the slope, m given by the following relation

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where:

y₁ = 100

x₁ = 0

y₂ = 0

x₂ = 8

Which gives;

[tex]m =\dfrac{0-100}{8-0} = -12.5[/tex]

The equation in slope can be found as follows

y - 100 = -12.5×(x - 0)

y = -12.5·x  + 100 = -25/2·x  + 100

Multiplying by 2 gives;

2·y = -25·x + 200

25·x + 2·y =  200

Therefore, the correct options are;

The equation of the function is 2·y = -25·x + 200

The equation of the function is y = -25/2·x  + 100

The x-intercept of the function is (8, 0).

Answer:

    The x-intercept for the function is (8,0).

   The equation of the function is 25x + 2y = 200.

   The equation of the function is y =-25/2 x + 100.

Step-by-step explanation:

Which figure shows a line of reflectional symmetry for the letter T? A letter T is folded at the horizontal line. A letter T is folded diagonally. A letter T is folded vertically through the middle. A letter T is folded diagonally through its center.

Answers

Answer:

A letter T is folded vertically through the middle.

Step-by-step explanation:

Reflectional symmetry refers to the symmetry of line that divides the given shape into two equal halves. The halves represent the mirror reflection of each other. The line of symmetry is drawn to show the reflection and it acts as a mirror. For the letter 'T', the reflectional symmetry will be drawn vertically in the middle of the letter. The line divides the letter into two equal halves with mirror images.

The figure that will depict a line of reflectional symmetry of letter T would be: A letter T folded vertically through the middle.

What is a Line of Reflectional Symmetry?

A line of reflectional symmetry can be described as an imaginary line that divides a figure into two halves in such a way that each of the halves are a mirror image of the other.

When a line divides letter T vertically, two mirror images are created.

Thus, the figure that will depict a line of reflectional symmetry of letter T would be: A letter T folded vertically through the middle.

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