Tavon has a gift card for $110 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $90 that loses $2 for each​ 30-day period it is not used.
a. Write and solve an equation for the number of​ 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal​ value?

Tavon Has A Gift Card For $110 That Loses $2.50 For Each 30-day Period It Is Not Used. He Has Another

Answers

Answer 1

30 day period

The first equation is 50 - 2x (because you start with $50 and subtract 2 for each 30 day period)

The second equation is 40-1.5x

Set them equal to each other:  50 - 2x = 40 - 1.5x

Solve for x:

50 - 2x = 40 - 1.5

  +2x   +2x

50 = 40 + 0.5 x

-40   -40

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

10 = 0.5 x

20 = x

So there will be 20 30-day periods until the cards will be equal in value.

Check:  After 20 periods, 50 - 2(20) = $10 left

40 - 1.5(20) = also $10 left

Answer 2

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let x be the number of days and y be the value of the card.

Tavon has a gift card for $110 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $90 that loses $2 for each​ 30-day period it is not used. Then the equations will be

y = 110 - 2.5x    ...1

y = 90 - 2x       ...2

From equations 1 and 2, we have

110 - 2.5x = 90 - 2x

20 = 0.5x

x = 40

And the value of y will be

y = 110 - 2.5(40)

y = 110 - 100

y = $10

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

More about the linear equation link is given below.

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Related Questions

plz help me find the slope​

Answers

Answer:

4/5

Step-by-step explanation:

Find 2 defined points like (-2,0)(3,4) in other to reach the point (3,4) from (-2,0) it moves 5 times front and 4 times up  

Up is Y value

Front is X value

To solve it is adding the value that you get from moving it in this case

5 front X equals to 5

4 up Y equals to 4

Then is 4/5

because the formula is Y/X

What is the product of ¼, -½ and -¾?

a
0.0934
b
-0.6543
c
-0.09357
d
0.09375

Answers

This is nonfiction and that would c I.09357 0.6543
D most definitely d

find the slope of the line that is perpendicular to the line graphed in the figure​

Answers

Answer:

- [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = [tex]\frac{1-(-4)}{1-0}[/tex] = [tex]\frac{1+4}{1}[/tex] = 5

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]

Is (2,3),(4,7),(1,-3),(5,7),(-2,8) a function? Please help

Answers

Answer:

Yes, this is a function.

Step-by-step explanation:

Every input has its own unique output (no x number goes to more than one y number).

B is between A and C, BC=38, and AC=42. Find AB
help please!

Answers

Answer:

AB = 4

Step-by-step explanation:

AB + BC = AC

Substitute the line segments for their given values:

AB + 38 = 42

Subtract both sides by 38:

AB = 42 - 38

AB = 4

Check your work:

4 + 38 = 42

42 = 42

Correct!

Brianna has saved $600 to buy a new tv If the tv cos $1800 and she saves $20 a week

Answers

60 days or 8.5 weeks

Step-by-step explanation:

1800-600=1200

1200/20=60

60/7=8.5

Which ordered pair is a solution to the equation y = 2x + 1?

A. (8, 17)
B. (9,16)
C. (10, 12)
D. (13, 17)

Answers

it’s choice A :)))))

1.
11. Kimberly received -22 points on her exam.
She got 11 questions wrong out of 50 questions.
How much was Kimberly penalized for each wrong
answer?

Answers

Answer:

Step-by-step explanation:

50 por que si no lO seeee agradezcan que respondo


(2t + 1) – (t – 9) = -52 – 8t
Show work ion get it

Answers

Step-by-step explanation:

Open the brackets

2t+1-t+9 = -52-8t

Collect the like terms

2t-t+8t = -52-1-9

9t= -62

Divide both sides by 9

t= -62/9

= -6.88

Approximately -6.9

Sophie bought snacks for her team's practice. She bought a bag of chips for $2.49 and
a 12-pack of juice bottles. The total cost before tax was $27.57. Write and solve an
equation which can be used to determine x, how much each bottle of juice costs?

Answers

Call a bottle of juice costs is x

$2.49 + 12x = $27.57

             12x = $27.57 - $2.49

             12x = $25.08

                 x = $25.08 / 12

                 x = $2.09

SO each bottle of juice costs $2.09.

Mark as Brainliest If the answer is helpful!

More help Pls (am also giving away points).

Answers

Answer:

But where is the question???????

Please Don't Offer point$ Without any Questions.

It's my Kind Request.

Mr Guru bought a second hand bike for rupees 125200 he Spent rupees 5302 repair it at what price should he sell it to gain 5% on his total investment​

Answers

Answer:

137027.1 Rupees

Step-by-step explanation:

(125200+5302) * 0.05 = 6525.1

130502+6525.1 =  137027.1

find the domain of y= √3x+3

Answers

Answer:

it's hard to tell the exact question being asked...

y = [tex]\sqrt{3x} + 3[/tex]

or

y = [tex]\sqrt{3x+3}[/tex]

if y = [tex]\sqrt{3x} + 3[/tex] then Domain is [0 ,∞ )  

if  y = [tex]\sqrt{3x+3}[/tex] then Domain is [-1 ,∞ )  

Step-by-step explanation:

find the last two digits of 2^2016​

Answers

Whooooooooooooooooooooooooops , Result for 2^2016

Two numbers are in the ratio 1:2. If 7 is to be added to both, then ratio changes to 3:5, find the numbers

Answers

Let numbers be x and 2x

ATQ

[tex]\\ \rm\longmapsto \dfrac{x+7}{2x+7}=\dfrac{3}{5}[/tex]

[tex]\\ \rm\longmapsto 5(x+7)=3(2x+7)[/tex]

[tex]\\ \rm\longmapsto 5x+35=6x+21[/tex]

[tex]\\ \rm\longmapsto 6x-5x=35-21[/tex]

[tex]\\ \rm\longmapsto x=14[/tex]

2x=2(14)=28years

please help me is for my homework​

Answers

Step-by-step explanation:

12/100 I think from a while ago.

Answer:

your answer is 12/100

but as a percent, it is 1200%

Step-by-step explanation:

*Plz it due today HELP!!!!!!Justin has been collecting baseball cards for years. He bought 137 cards the first year
and 143 cards the second year. He plans on putting them in a binder that will hold seven
cards per page. How many pages must the binder have to hold Justin's collection? *Plz tell me what the math action word is I need to box it*

Answers

Answer:

40

Step-by-step explanation:

137+143=280

280/7= 40

Answer:

Division/dividing/divide

Step-by-step explanation:

If Justin has 280 baseball cards, and if each page will only hold 7 cards per page, then by dividing 280 by 7 (280÷7) would equal to 40 pages.

Rewrite the following mathematical statement in your own words

Answers

Answer:

a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a

f: M ⇒ N is a function from M to N.

Given,

f: M ⇒ N

We need to describe this mathematical statement in our own words.

What is a function?

A function is defined as a way where there is an input that it takes and produces an output.

The set from where the inputs come is called the Domain.

The set of outputs is called the Range.

We have,

f: M ⇒ N

Here

f is a function that takes input from the set M and its output belongs to set N( Natural number).

Here,

M is called the domain.

N is called the codomain.

Thus f: M ⇒ N is a function from M to N.

Learn more about function here:

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Multiply (FOIL)

( x - 3)( 2x + 5)


(3x + 7)(2x - 1)

Answers

Answers: ( x - 3)( 2x + 5) equals 2x^2 − x − 15

(3x + 7)(2x - 1) equals 6x^2 + 11x − 7

Explanation: You expand the polynomial using the FOIL method.

One number is 8 more than the other number. Twice the smaller number is 7 more than the larger number. Write the equation to represent this scenario.

Answers

a=15

b=23

Step-by-step explanation:

a+8=b

2a=b+7

2a=(a+8)+7

2a=a+15

a=15

A wedding planner uses 72 ivy stems for 18 centerpieces. When sh arrives at the venue , she realizes she will only need 16 centerpieces. How many ivy stems should she use so that the ratio of ivy stems to centerpieces stays the same ?

Answers

Answer:

64 ivy stems

Step-by-step explanation:

72 ivy stems / 18 centerpieces = 4 ivy stems / 1 centerpiece

Create an equation with x being the amount of ivy stems needed.

x / 16 = 4

x = 64

No. of acute angles in the given figure:_____

Answers

Answer:

looks like there's 5

Step-by-step explanation:

acute angles are under 90°

obtuse are over 90°

right angles are 90°

Can anyone please help me to find the area of this please

Answers

9514 1404 393

Answer:

  √35 +3√7 -6 . . . square units

Step-by-step explanation:

The area can be figured a number of ways. The figure can be divided into parts, and the areas of those parts added.

Or, the area of the enclosing rectangle can be found, and the rectangle at upper right that is not shaded can be subtracted from that. We choose the latter.

The overall width is the sum of the given partial widths:

  width = (√7 -2) + (2) = √7

Then the area of the bounding rectangle is ...

  A = LW = (√5 +3)(√7) = √35 +3√7

The area of the upper right empty-space is ...

  A = LW = (3)(2) = 6

Then The area of the shaded figure is ...

  √35 +3√7 -6

( x+y+z )² + 2( x+y+z ) +1

Answers

Answer:

[tex](x+y+z+1 {)}^{2} [/tex]

Step-by-step explanation:

[tex](x+y+z {)}^{2} +2(x+y+z)+1[/tex]

[tex](x+y+z+1 {)}^{2} [/tex]

Hope it is helpful....

Here is your answer hope this helps you.

Evaluate the function: f(n)=3n-1 ; f(-1)= ?

Answers

Answer:

A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)

Step-by-step explanation:

A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)

ILL MARK BRAINIEST IF YOU DO THIS RIGHT!!!

Answers

Answer:

Company D is the correct choice. With a flat rate of $150 plus the hourly fee of $5, you add the hourly to the flat fee. So in this case, $150 + 7($5) = $185. This comes out to be the lowest price out of the 4 options provided.

Step-by-step explanation:

I derped. I'm sorry. Here is the answer as an actual answer :)

Answer:

Company C

Step-by-step explanation:

There are 37 carpenters in a crew. On a certain day, 27 were present. What percent showed up for work?

Answers

Answer:

73%

Step-by-step explanation:

/ means divide

you divide the total by those who showed up

27/37 = .7297 = around .73 = 73%

Given the function f(x) = 4x+2, what is the value of f(3)?

Answers

Answer: f(3) = 14

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given function

f(x) = 4x + 2

Substitute value of the x into the expression

f(3) = 4(3) + 2

Simplify by multiplication

f(3) = 12 + 2

Simplify by addition

f(3) = [tex]\boxed{14}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

What is the scale factor from L to S

Answers

Answer:

-2

Step-by-step explanation:

Triangle S

Base = 2Height = 4

Triangle L

Base = 4Height = 8

For the base you must multiply 4 by -2 to get 2. Likewise for the height you must multiply 8 by -2 to get 4. Thus the scale factor from L to S is -2

Hope it helps,... Chow,...!

if jack is sitting on the chair no 14 from the left Find his place from the right if the chairs are numbered from 1 to 40 ?

Answers

Answer:

26

Step-by-step explanation:

if his chair is 14 away from the left he would be 26 away from the right

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