A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is .

The independent variable is the _____________?

The dependent variable is the ______________?

Answers

Answer 1

Answer:

The relationship between the number of months after the first year and the amount on the remaining card is linear and inverse ( Which meant that ,when the number of months after the first year increases , the amount on the remaining car decreases , in a linear way ) .

The Independent variable is the numbers of months after the first year .

The Dependent variable is the amount on the remaining card , Bcoz this amount depends on the time it has passed since the first year , ( which is our independent variable!).

If we call "Y" our dependent variables and "X" our Independent variable , This relationship can be written as Y= 25 - 2.5x.

If no months had passed since the first year, then x= 0 and the amount in the card equals $25 , While if one month has passed since the first year x= 1 and y= 22.5 ( The amount in the card in this case is $22.5 .

Step-by-step explanation:

Hope this helps you !!

Related Questions

You have two squares. The larger square has a side of 3 more than the smaller square. If the combined area of the two squares is 89 cm squared. What is the length of the smaller square.

A. 3

B. 5

C. 8

D. 10

Answers

The length of the SMALLER square is:
B. 5

Basically I tested each answer choice and see if all the information matches it.
Lets check how my answer is correct:
We know that:
The length of the bigger square is 3 more than the smaller square’s length.
The areas of both squares add up to 89 cm^2
length of the SMALLER square is: 5 cm
length of the LARGER square:
5 + 3 = 8 cm

Area of smaller square:
5^2 = 25 cm^2

Area of bigger square:
8^2 = 64 cm^2

ADD UP BOTH AREAS OF SQUARES:
25 + 64 = 89 cm^2

Hope this helps!
The length of a side of the larger square is 3 cm more than the length of a side of the smaller square.
let the side of the smaller square is a cm then larger square has sides a+3 cm
The sum of the area of two squares is 89 square centimeters.
so a^2+(a+3)^2=89
or a^2+a^2+9+6a=89
or 2a^2+6a-80=0
or a^2+3a-40=0
or a^2+8a-5a-40=0
or a(a+8)-5(a+8)=0
or (a+8)(a-5)=0
or a+8=0=> a=-8 rejected for -ve value
then (a-5=0 =>a=5 the side of the smaller square
& the sides of the larger square is 3+5=8 cms
ans

Guys please help me solve this problem, yes I will mark brainliest

Answers

Given that the vertex is at (50, 1000), the max profit is $1000 when 50 items are produced

A music shop sold 25 50$ radios at a profit of 8% and 6 30$ radios at a loss of 15% how much was the profit or loss combined

Answers

Answer:

The profit or loss combined is $2.99

Step-by-step explanation:

Given;

cost price of first radio, CP = $25.50

profit percent, = 8%

The profit made is calculated as;

[tex]\frac{Profit}{CP} \times 100\% = \frac{SP-CP}{CP} \times 100\% = 8\%\\\\Profit = SP-CP = 0.08CP = 0.08\times \$25.50 = \$ 2.04[/tex]

Cost price of the second radio, CP = $6.30

loss percent = 15%

The loss incurred is calculated as;

[tex]\frac{Loss}{CP} \times 100\% = 15\%\\\\Loss = 0.15CP\\\\Loss = 0.15 \times \$6.30 = \$0.95[/tex]

The profit or loss combined = $2.04 + $0.95

                                               = $2.99

Find the missing side. Round your answer to the nearest tenth. 19, 36

Answers

Answer:

x=110.6

Step-by-step explanation:

sin(19)=36/x. x=36/sin(19)=110.6

If the absolute value of x is 12, which of the following is true?

X can be 12 or -12

X=12

X=-12

X is zero

Answers

Answer:

x= 12  or x = -12

Step-by-step explanation:

|x| means take the positive value of x

|x| =12

We make two equations one positive and one negative

x= 12  or x = -12

Answer:

x can be 12 or -12

Step-by-step explanation:

|x| = 12

|(-12)| = 12

-12 or 12

Point S lies between points R and T on Line segment R T. A line contains points R, S, T. The space between R and S is 2 x. The space between S and T is 3 x. If RT is 10 centimeters long, what is ST?

Answers

Answer:

[tex]ST = 6cm[/tex]

Step-by-step explanation:

Given

[tex]RS =2x[/tex]

[tex]ST = 3x[/tex]

[tex]RT = 10[/tex]

Required

Find ST

From the question, we understand that S is between R and T.

So:

[tex]RS + ST = RT[/tex]

Substitute known values

[tex]2x + 3x = 10[/tex]

[tex]5x =10[/tex]

Divide both sides by 5

[tex]x =2[/tex]

Given that:

[tex]ST = 3x[/tex]

[tex]ST = 3 * 2[/tex]

[tex]ST = 6cm[/tex]

Answer:

C or 6 centimeters

Step-by-step explanation:

ASAP PLEASE HELP MEEEEEEEEEEEEEEEEE

Answers

Step-by-step explanation:

Does Anybody Know The Answer?

Answers

Yes. When a graph has more than one line it is a piece wise graph.

You hit a tennis ball with an initial vertical velocity of of 10 ms The ball leaves the tennis racket 2 meters above the ground How much time does your opponent have before the ball hits the ground on the other side of the net

Answers

Answer:

1.02secs

Step-by-step explanation:

Using the equation of motion

v = u+at

Since the ball moves upward then:

a = -g

Substitute into the formula

v = u-gt

Given the following

Initial velocity u = 10m/s

Final velocity v = 0m/s (on the ground)

g = 9.8m/s²

Required

Time t

Substitute the given values into the formula

0 = 10-9.8t

-9.8t = -10

t = 10/9.8

t = 1.02secs

Hence your opponent have 1.02secs

Simplify (b9)3. See picture please

Answers

Answer:

b^27

Step-by-step explanation:

Answer:

A. b^27

You multiply 9x3 and you get 27 with the base "b"

Step-by-step explanation:

BRAINLIET TO THE FIRST.....AND PLZZ HURRY.....
What is the volume of the oblique cone? Round to the nearest tenth.​

Answers

Formula for the volume of a cone: V = 1/3 x pi x r^2 x h

Since this is a right cone, the height is given as 8.5 and the radius is 4.

V = 1/3 x pi x 4^2 x 8.5

V = 1/3 x pi x 16 x 8.5

V = 1/3 x pi x 136

V = 45 1/3 pi

V = 142.4 cubic units

Hope this helps!

Answer:

142.4 units^3

Step-by-step explanation:

We use the same formula for volume as for a cone

V = 1/3 pi r^2 h

V = 1/3 pi (4)^2 ( 8.5)

  = 1/3 pi (16)(8.5)

Letting pi = 3.14

 =142.34666667

Rounding to the nearest tenth

  = 142.4

Write and algebraic expression:
The tens digit of a number is b and the units digit is twice as big. What is the value of the number in terms of b if the digits are reversed?

Answers

Answer:

21b

Step-by-step explanation:

Suppose that there were a strong correlation between the variables d & f. Which of there is a true statement

Answers

Answer:

d may cause f.

Step-by-step explanation:

Here are the options

d must not cause f.

f must cause d.

d must cause f.

d may cause f.

Correlation is a statistical measure used to measure the relationship that exists between two variables.

1. Positive correlation : it mean that the two variables move in the same direction. If one variable increases, the other variable also increases.

For example, there should be a positive correlation between quantity supplied and price

When there is a positive correlation, the graph of the variables is upward sloping

2. Negative correlation :  it mean that the two variables move in different direction. If one variable increases, the other variable decreases.

For example, there should be a negative correlation between quantity demanded and price

When there is a negative correlation, the graph of the variables is downward sloping

3. Zero correlation : there is no relationship between the variables

15) A new BMW decreases in value exponentially after it is purchased. If a new BMW is valued at $55,000 and
depreciate at a rate of 22% a year, what is the value after 4 years? After 8 years)

Answers

The values of BMW after 2, 4 and 8 years  according to the EXPONENTIAL FUNCTION are $33,462, $20,358.28 and $7,535.63 respectively.

Using the parameters given, we define an decreasing exponential function :

[tex]A = A_{0} (1 - r)^{t}[/tex]

Where,

[tex]A_{0}[/tex] = initial amount ; r = Rate ; t = time ; A = final amount

Value after 2 years :

t = 2

A = 55000(1 - 0.22)²

A = 55000(0.78)²

A = $33,462

Value after 4 years :

t = 4

A = 55000(1 - 0.22)^4

A = 55000(0.78)^4

A = $20,358.28

Value after 8 years :

t = 4

A = 55000(1 - 0.22)^8

A = 55000(0.78)^8

A = $7,535.63

Therefore, the value of BMW after 2, 4 and 8 years are $33,462, $20,358.28 and $7,535.63 respectively.

Learn more about Exponential functions :

https://brainly.com/question/14355665

NOW ASAP PLEASE NEED FAST ANSWERRRRRRRR

Answers

Let's take any 2 points from the line.

1. (-4,-2)

2. (-2,-7)

[tex]slope \\ = \frac{Δy}{Δx} \\ = \frac{y_{2} - y_1}{x_{2} - x_1} \\ = \frac{ 7 - ( - 2)}{ - 2 - ( - 4)} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} \\ = 2.5[/tex]

Cual de las siguientes expreciones permite a fatima obtener t que es la cantidad de palitos nesesaria para armar una figura n

Answers

Answer:

T(n) = 4 + 12*n

Step-by-step explanation:

La pregunta completa se puede ver en la imagen de abajo.

En ella, podemos ver que:

La primera figura tiene: 16 palitos

la segunda figura, con n = 2, se añaden 3 palitos en cada extremo, por lo que tendremos 16 palitos + 4*3 palitos = (16 + 12) palitos

De manera similar, en la tercera figura se vuelven a añadir 3 palitos en cada extremo de la cruz, entonces esta figura tendrá:

(16 + 12) palitos + 4*3 palitos = (16 + 12 + 12) palitos.

Así, tenemos la relación:

T(1) = 16

T(2) = 16 + 12

T(3) = 16 + 12 + 12

Podemos asumir que la forma general será:

T(n) = 16 + 12*(n - 1)

podemos reescribir esto como:

T(n) = (12 + 4) + 12*(n - 1)

      = 4 + 12 + 12*(n - 1)

      = 4 + 12*n

La opción correcta es la primera.

state the equation, in slope-intercept form of each of the following graph

Answers

Answer:

A) y=(1/4)x-1, 4y=x-4

B) y=-2x

please help fast!! geometry

Answers

Answer:

512 inches ^2

Step-by-step explanation:

The surface area is found by

SA = 2(lw+wh+hl)  where l is the length  h is the height and w is the width

SA = 2( 8*8 + 8*12 + 12 * 8)

   = 2(64+ 96+96)

    = 2 ( 256)

   = 512 inches ^2

Answer:

512 square inches

Step-by-step explanation:

8 x 8 = 64

12 x 8 = 96

64 x 2 = 128

96 x 4 = 384

128 + 384 = 512 in^2

Can someone pls help with this

Answers

here it is :)

do check properly, I have given step by step instructions:)

do give feedback on my answer, would appreciate it!

Answer:

900000

Step-by-step explanation:

[tex]30*10^{4}[/tex]

=3*10000

=30000

=30*30000

=900000

(PICTURE) Can someone please help me out Im reporting trolls. Marking brainliest

Answers

Answer:

smart dot company would be c=.50t+12

communication plus would be c=2.50t

Step-by-step explanation:

smart dot starts with $12 a month and adds $0.50 for each hour of internet use. communication plus has no starting fee so it just adds $2.50 for each hour of internet use.

So then for the table you would put the number given for time in for the letter t and find what c would be. This would then find your cost for that amount of hours. To get you started smart dot company starts off with 0 hours so put that in for t being c=0.50(0)+12 and c=12. Communication plus also starts with 0 so it would be c=2.50(0) and c=0

Then you graph once you have both values you can graph having x=time and y=cost

Let me know if this helps!

Read is solving the quadratic equation 0 equals X over two minus 2X -3 using the quadratic formula which shows the correct substitution of the values ABC into the quadratic formula quadratic formula X equals negative B+

Answers

Answer:

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

Step-by-step explanation:

Given

[tex]0 = x^2 - 2x -3[/tex]

Required

The correct quadratic formula for the above

A quadratic equation is represented as:

[tex]ax^2 + bx + c = 0[/tex]

And the formula is:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

So, we have:

[tex]0 = x^2 - 2x -3[/tex]

Rewrite as:

[tex]x^2 - 2x - 3 = 0[/tex]

By comparison:

[tex]a= 1; b = -2; c = -3[/tex]

So, we have:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

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

PLEASE SOMEONE SOLVE B) I ALREADY KNOW 1. A) Is 75.875m^2

Answers

Someone help me out plz

PLEASE HELP ITS TIMED
If x/3=5/6,
then x= ​

Answers

Step-by-step explanation:

x/3 = 5/6

cross multiply

6x=15

x=2.5

Answer:

x=5/2

Step-by-step explanation:

With explanation please thank you

Answers

I need help in this I don’t know what’s the answer

Help anyone can help me do the question,I will mark brainlest.​

Answers

Part (a)

The radius is r = 42 because OA = 42.

The circumference, aka distance around the circle, is

C = 2*pi*r

C = 2*(22/7)*42

C = 264

We're told that arc AB is 110 mm which is 110/264 = 5/12 of the full distance around the circle.

So we'll apply 5/12 to the full rotation 360 to get (5/12)*360 = 150

Answer:  150 degrees

==============================================================

Part (b)

Compute the area of the full circle

A = pi*r^2

A = (22/7)*(42)^2

A = 5544

Then take 5/12 of this because we only want 5/12 of the full circle area (to get the area of the shaded pizza slice)

(5/12)*(5544) = 2310

Answer:  2310 square mm

==============================================================

Side note: Both answers are approximate because pi = 22/7 is approximate.

help pls due in 3hrs

Answers

9514 1404 393

Answer:

  (-3, -2), (-2, -2), (-2, -3), (-3, -3)

Step-by-step explanation:

Dilation about the origin multiplies each coordinate value by the dilation factor. Here, every coordinate of the original image is multiplied by 1/2 to form the "enlargement." Since the scale factor is less than 1, the "enlarged" image will be smaller and closer to the origin.

The coordinates, clockwise from upper left, are ...

  (-3, -2), (-2, -2), (-2, -3), (-3, -3)

Relationship between q and t pleaseeee helppppp

Answers

Step-by-step explanation:

it is simple.

there is a constant speaking time of 25 minutes.

the duration of the meeting is the speaking time plus the question answering time.

so,

q = 1 means t = 25 + 1 = 26

q = 2 means t = 25 + 2 = 27

q = 3 means t = 25 + 3 = 28

q = 8 means t = 25 + 8 = 33

Are 5-x=y and x-5=y the same ?

Answers

Answer:

not really

Step-by-step explanation:

because on the first equation you subtract 5and take to y as a negative and in the second equation 5 goes as a positive at least that is what i think

Answer:

no cause

5-x=y

5 is positive , x is negative

BUT

x-5=y

5 is negative, and x is positive

The diameter of a $1 coin is 26.5 mm. Find the area of one side of the coin. Round to the nearest hundredth.

Answers

The area of one side of the coin is 41.605 mm².

Given that, the diameter of a $1 coin is 26.5 mm.

We need to find the area of one side of the coin.

What is the area of a circle formula?

The area of a circle formula is A=πr².

Now, radius=26.5/2=13.25 mm.

Area of a coin=3.14×13.25=41.605 mm².

Therefore, the area of one side of the coin is 41.605 mm².

To learn more about the area of the circle visit:

https://brainly.com/question/11952845.

#SPJ2

Stephon makes the following statements: statement 1 lim x -3 f(x) exists and is equal to 1 statement 2 lim x 1 f(x) exists and is equal to 1

Answers

Neither statement 1, nor statement 2 are correct

The given Stephon's statements are;

Statement 1; [tex]\mathbf{\lim \limits _{x \to -3} f(x)} \ \mathbf{Exist} \ and \mathbf{\lim \limits _{x \to -3} f(x) = 1}[/tex]

Statement 2; [tex]\mathbf{\lim \limits _{x \to 1} f(x)} \ \mathbf{Exist} \ and \mathbf{\lim \limits _{x \to 1} f(x) = 1}[/tex]

The analysis of the graph and reason for the answer

From the graphed line on the left of the y-axis, we have an open circle at x = -3, and an arrow at the other end pointing towards negative infinity, (-∞) which indicates that the domain is -∞ ≤ x < -3, therefore, at x = -3, f(x) does not exist, therefore, we can write the following statement

The limits of the domain and range of the graph includes;

[tex]\mathbf{\lim \limits _{x \to -3} f(x)} = \mathbf{Does \ not \ exist}[/tex]

f(x) = Defined for -∞ ≤ x < -3

Similarly, from the graphed line on the right of the y-axis, we have an open circle at x = 1 and an arrow at the other end of the line f(x) = 4 pointing towards positive (+∞) infinity, which indicates the domain and the graph of the function is 1 < x ≤ ∞ , therefore, f(x) does not exist at x = 1, and we can write

[tex]\mathbf{\lim \limits _{x \to 1} f(x)} = \mathbf{Does \ not \ exist}[/tex]

From we above, we have that neither statement 1, nor statement 2 are correct

Learn more about open and closed circles on graph lines

https://brainly.com/question/8648835

Other Questions
What were some items the Natives took from the Iron Horse? the larynx, trachea, bronchi, and bronchioles all make up the WILL GIVE BRAINLIEST! Please look at the photo for the question !!! is it b? please help what are the methods used in descriptive linguistics? in historical linguistics the method used are comparative and internal reconstruction. But what about the descriptive? Problem Situation: Ben buys a table for $240. He also buys 6 chairs that all cost the same amount. His total cost is $720. What is the price of one chair? Use the drop-down menus to complete parts A and B below. f(1)=3f(n)=2f(n1)+1f(2)=? can someone help me answer this pls help i really need help STOP SENDING ME LINK The Wilsons are storing water in case there is a natural disaster. They have 12 small bottles of water that hold 8 ounces each. They also have 4 large bottles of water that hold 24 ounces each. They estimate that they have around 2,000 ounces of water in total. Is that a good estimate? Which type of rhetoric is used most in this excerpt to convince readers that censors have unjust motives? an appeal to emotion an appeal to ethics an appeal to the authors character an appeal to logic. 14. Write an equation for the line parallel to the given line that contains C.C(3,8); y = - 4x + 1 I need to find the missing angles Six percent of computer chips produced by Cheapo Chips are defective. Each month a random sample of 200 chips manufactured that month are taken. Let X = the number of defective chips in the sample. What are the mean and standard deviation of X? Find the amount that results from a $900 investment invested at 7% interest,compounded continuously, after 4 years. 19. Ram and Rahim are partners in a firm sharing profits in the ratio of 3: 2. Kabir is admitted as a partner for 1/5th share of profits. Machinery would be appreciated by 10% (Book Value of 80,000) and Building would be depreciated by 20% (Book Value of 2,00,000). Unrecorded Debtors of 1,250 would be brought to books. There is a liability of 2,750 included in Sundry Creditors that is not to be paid. What will be the Gain (Prot Loss on revaluation? (a) Loss of 28,000. (c) Profit 28,000. (6) Loss 40,000. (d) Profit of 40,000. The Egyptians created the first irrigations system. True or false Which type of cytoskeletal element is characterized as a hollow, rigid cylindrical tube with walls composed of tubulin subunits temo que vayan a __ a algunas personas de la compaa. If and , find .A. B. C. D.