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

The average number of students in ten 5th grade classes is 27. Which of the following can be extrapolated from this information?
A
The average weight gain of a kitten on a newly developed brand of kitten food is also 0.3 lbs. a month.
B
The average weight gain of an adult dog on a newly developed brand of adult dog food is also 0.3 lbs. a month.
C
The average weight loss of a puppy on a newly developed brand of puppy food is 0.3 lbs. per month.
D
none of the above

Answers

D Extending the application of (a method or conclusion, especially one based on statistics) to an unknown circumstance by assuming that existing trends will continue or that similar procedures will be applicable

What is the first step of the second step to prove that Sn arrow 1+2+3+..+n=n(n+1)/2?

Answers

Answer:

I'm pretty sure it's, "verify that Sn is valid for n=1". I think... lol.

Step-by-step explanation:

May I please receive help?

Answers

Answer:

9.2 ft

Step-by-step explanation:

The shape is a triangle, the 11 ft is your hypotenuse

You need to use the Pythagorean Theorem!

a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)

so --->

a^2 + (6^2) = 11^2

      a^2 + 36 = 121

             ~subtract 36 to the right side~

               a^2 = 85

now find the square root of 85:

               a = 9.21954

        round it to the nearest tenth:

                   a = 9.2

final answer: 9.2 ft

hope this helpsss

Step-by-step explanation:

Apply Pythagoren Theorem.

[tex] {x}^{2} + {y}^{2} = {c}^{2} [/tex]

where x and y is the legs (the sides that form a right triangle) and c is the hypotenuse.

the legs are 6 and our unknown. so let x represent the unknown

[tex] {6}^{2} + {x}^{2} = {11}^{2} [/tex]

[tex]36 + {x}^{2} = 121[/tex]

[tex] {x}^{2} = 85[/tex]

[tex]x = \sqrt{85} [/tex]

x=9.2

150 - 0.5 = 120 + 0.25

Answers

Answer:

149.5 = 120.25

Step-by-step explanation:

Will mark brainliest

Answers

Answer:

The purple square

Step-by-step explanation:

The graph shows that f(x)={is translated
horizontally and vertically to get the function

Answers

Answer: 3

Step-by-step explanation:

1/4 5/8 1/2 least to greatest

Answers

Answer:

1/4, 1/2, 5/8

Step-by-step explanation:

1/4, 1/2, 5/8

Answer:

1/4,1/2,5/8

Step-by-step explanation:

because 1/2 is 0.25 and 1/2 is 0.50


Which expression is equivalent to x6 - 16x^2?
o x2(x - 2)2(x2 + 4)
o x2(x - 2)2(x + 2)2
o x2(x - 2)(x + 2)(x2 + 4)
o x2(x - 4)(x2 + 4)

Answers

Answer:

[tex]x^2(x - 2)(x + 2)(x^2 + 4)[/tex]

Step-by-step explanation:

[tex]x^6-16x^2[/tex]

[tex]x^2\left(x^4-16\right)[/tex]

[tex]x^2\left(x^2+4\right)\left(x+2\right)\left(x-2\right)[/tex]

[tex]\boxed{\bold{HOPE \:IT \:HELPS!\: :)}}[/tex]

The required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.

Given that,
To determine the equivalent expression equivalent to  x⁶ - 16x²

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= x⁶ - 16x²

= x²[x⁴- 16]      
= x²[x² + 4] [x² - 4]    [ Following the rule (a² - b²) = (a + b)(a - b)}
= x²[x² + 4](x + 2)(x - 2)

Thus, the required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Help help help help pls

Answers

This is all simple division rules. U have 2 different values so you divide the larger value with the smaller value.

40% of 58 and 34% of 76

pls subscribe to aphmau it'll help her alot

Answers

Answer:

See below

Step-by-step explanation:

40% of 58 = 0.40(58) = 23.2

34% of 76 = 0.34(76) = 25.84

Answer:

23.2

25.84

Step-by-step explanation:

To calculate percentage, multiply the number by the percentage's decimal.

for example, 20% of 300

20%-->20/100---->0.20

300×0.20=60

40% of 58--->

40/100--->0.40

58×0.40=23.2

34%--->34/100--->0.34

0.34×76=25.84

that was sooo good !

Answers

yea, what was good? you cant just say that something is good with no explanation lol

what is the quotient of 5/12 divided by 3/4​

Answers

your answer would be 5/9 or 0.5

Answer:

5/9

Step-by-step explanation:

dividing (5/12) by (3/4) we get,

(5/12) ÷ (3/4)

(5/12) × (4/3)

(5 /3 * 3)

(5/9) final answer

Part A: Find the LCM of 5 and 12. Show your work. (3 points)

Part B: Find the GCF of 72 and 81. Show your work. (3 points)

Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)

Answers

Answer:

Part A: 60

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.

12, 24, 36, 48, 60.

---------------------------------

Part B: 9

81 / 72 = 9

----------------------------------

Part C: 9 (8 + 9)

---------------------------------

GCF of 72 and 81 is 9...

Divide 72 by 9 and get 8.

Divide 81 by 9 and get 9.

To check multiply 9 with 8, and multiply 9 by 9.

Drag the numbers below to put them in order from least to greatest:
5.4
5.465
5.51
5.529
5.48
5.596

Answers

Answer:

5.4

5.465

5.48

5.51

5.529

5.596

Step-by-step explanation:

5.465 is 0.065 higher than 5.4

5.48 is 0.015 higher than 5.465

5.51 is 0.03 higher than 5.48

5.529 is 0.019 higher than 5.51

and 5.596 is 0.067 higher than 5.529

Round off to one decimal

5.4=5.4005.465=5.4655.51=5.5105.5295.4805.596

Order

5.400<5.465<5.480<5.510<5.529<5.596

Classify the following polynomial function, −3x(x2−4)(2x2+5)based on degree and number of terms.

Answers

Answer:

Quintic Trinomial (2nd option)

Step-by-step explanation:

We know that this is a quintic polynomial because the degrees add up to 5. If we expand the polynomial, we have [tex]-3x(x^2-4)(2x^2+5)=(-3x^3-12x)(2x^2+5)=-6x^5-45x^3-24x^3-60x=-6x^5-69x^3-60x[/tex]

So, there are 3 terms, which is a trinomial.

Solve for m.

F/m=a

pls help timed

Answers

Answer:

M=F/A

Hope this helps

M=F/A is the answer

3. Gracie graphed the line 3x – 4y = -16. Which
ordered pair is in the solution set of 3x – 4y = -16?
19
A.(-2,3)
C. (2,7)
B.(-8,0)
D. (0,-1)

Answers

We want to see which ordered pair is a solution for the given line. We will see that none of the points is a solution for the given equation.

So, if you have a graph this is rater easy.

In a point (x, y) the first value represents the horizontal displacement and the second represents the vertical displacement.

So, to see if the points are solutions of the line, you just need to see if the point lies on the graphed line.

Below you can see the graph, there you also can see all the given points.

There you can see that none of the given points lie on the line, so none of these is in the solution set of the line (you can also check this by evaluating the equation in the given points).

If you want to learn more, you can read:

https://brainly.com/question/11967677

will mark brainliest (NO LINKS OR ANSWERS WITHOUT EXPLANATION)

Answers

Answer:

  6x² -xy -35y²

Step-by-step explanation:

Use the distributive property, and combine terms.

  (2x +5y)(3x -7y) -2xy

  = 2x(3x -7y) +5y(3x -7y) -2xy

  = 6x² -14xy +15xy -35y² -2xy

  = 6x² +(-14 +15 -2)xy -35y²

  = 6x² -xy -35y²

easy one for you folks. show work.
who ate more?​

Answers

Answer:

Regan ate more

Step-by-step explanation:

maggie: 5/8 of pizza to start

eats  1/4 of 5/8

1/4 times 5/8 gives 5/32

regan: 7/12 of pizza to start

eats 2/3 of 7/12

2/3 times 7/12 gives 14/36 or 7/18

7/18 > 5/32

Answer: Reagan

Step-by-step explanation: because 2/3 is more than 1/4

Car Miles Driven Gallons Used

Car A 84 2

Car B 90 4.5

Car C 108 3

Car D 185 5

Which car can travel the furthest on one gallon of gas?
Car A
Car B
Car C
Car D

Answers

Answer:

A is correct. Car D will go furthest.

Step-by-step explanation:

Car A

Explanation:
Miles Driven / Gallons Used

A: 84 / 2 = (42 mi per gallon)
B: 90 / 4.5 = (20 mi per gallon)
C: 108 / 3 = (36 mi per gallon)
D: 185 / 5 = (37 mi per gallon)

What is the slope of the line

Answers

(1,4), (-1,3) 3-4/-1-1=-1/-2. -1/-2= 1/2 so 1/2 would be the slope

Answer:

Slope: 1/2

Step-by-step explanation:

Look at the file.

Ned had 76 boxes. together the boxes weighed 723 kilograms. About how much did each box weigh

Answers

Answer: ~9.51 kilograms each.

Step-by-step explanation: 723/76=9.5131

Jenny and Dylan were putting chips into bags to help feed the homeless. They had 344 chips. Each bag holds 17 chips. How many full bags of chips can they make?​

Answers

Answer:

20

Step-by-step explanation:

Answer:

20 full bags of chips

Step-by-step explanation:

344 chips / 17 chips = 20 full bags (with 4 chips left over)

what is the example of 897 * 39+(34*964)

Answers

Answer:

a_n=a_1+(n-1)d

Step-by-step explanation:

sorry for late anwser

six and seven on this wkst!!!!!

Answers

Answer:

6.) x=5/4

7.) x=-6

Also, since your worksheet in paratheses says it would help to graph number 7, I attached a graph for it. :)

Step-by-step explanation:

Just ask!

Hope this helps. :))

Sorry if I'm wrong.

~Happy Holidays!!~ o(* ̄▽ ̄*)ブ

is this correct????????

Answers

only use this one pls. Lol

Answer:

its half way correct. get rid of the dot on the 2.

Step-by-step explanation:

the point (2, -6) is where the dot is supposed to be located. the 2 is the x point. and the -6 is the y point. so u go to the right 2 and then u go down 6. so the point is where the lowest dot is located


Here is a trapezium.
20 m
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
ol
(20+30)(13)
+5 m
+5 m
=(10+30)(13)
= 40x13
= 520 m²
What two mistakes did Jenny make in her method?

Answers

Answer:

Jenny wants to work out the area of

the trapezium.

13 m

She writes:

13 m

N

12 m

area =-

Step-by-step explanation:

Evaluate the expression for u = -15.
-2(-12 – u) =

Answers

Answer:

-6

Step-by-step explanation:

-2(-12 - u )

u = -15

-2 ( -12 - (-15))

remove parenthesis.

-2 ( -12 + 15 )

add -12 and 15

-2 ( 3 )

multiply -2 and 3

= -6

Step-by-step explanation:

u = -15

-2(-12 - u) = -2(-12 + 15) = -2(3) = -6

Repost* Can someone plz help? :(

Answers

Answer:

2.5

Step-by-step explanation:

4*2.5= 10

8* 2.5=20

how i got 2.5 is by doing 10 divided by 4

Answer:

2.5

4*2.5= 10

8* 2.5=20

how i got 2.5 is by doing 10 divided by 4

Step-by-step explanation:

Write an equivalent expression.

1. 8(y - 7)

2. -2x + 7

3. 3/5x + 2/5 + 3/5x

Answers

Answer:

8(y - 7) =8y-7-2x+7=7/2=3.5

The equivalent expressions are;

1. 8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = (6x + 2) / 5

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expressions are;

1. 8 (y - 7)

2. - 2 (x + 7)

3. 3/5x + 2/5 + 3/5x

Now,

Solve all the expression as;

1. 8 (y - 7) = 8 × y - 8 × 7

              = 8y - 56

Thus,  8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2 × x - 2 × 7

                  = - 2x - 14

Thus, - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = 3/5x + 3/5x + 2/5

                              = (3x + 3x)/ 5 + 2/5

                              = 6x / 5 + 2/ 5

                              = (6x + 2) / 5

Thus, 3/5x + 2/5 + 3/5x = (6x + 2) / 5

Therefore, The equivalent expressions are;

1. 8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = (6x + 2) / 5

Learn more about the expression visit:

https://brainly.com/question/25968875

#SPJ2

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