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.

https://brainly.com/question/11897796

#SPJ2


Related Questions

Ruth borrowed a book from the library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the chargesRuth paid for the book when she returned it x days after the due date: 2 + 0.25x what does the second term of expression represent?

Answers

Answer:

The late fee per day for the book

Step-by-step explanation:

2 + .25x

The 2 is the fixed rental for the book

.25x is the late fee per day  where .25 is the charge per day and x is the number of days

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Answer:B

Step-by-step explanation:The negative sign represents fraction that is (one over)

Translate the sentence into an equation.
Six less than the product of 7 and a number is 8.
Use the variable y for the unknown number.

Answers

(7 + y) - 6 = 8

If you also need the correct number its 7

(7 + 7) - 6 = 8

Use a two column proof to prove the following.
Given: 5(m - 6) = 5(7m = 6)
Prove: m = 0


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Step-by-step explanation:

[tex]5(m - 6) = 5(7m = 6)[/tex]

[tex]5m - 30 = 35m - 30[/tex]

[tex]5m = 35m[/tex]

[tex]30m = 0[/tex]

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A group of 20 people are going to run a race. The top 6 finishers advance to the finals. In how many different ways can they advance?

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167960 is your awnser

The sum of two expressions is 5m^2-3n^2. if one of the expressions is 3m^2+4mn-n^2,what is the other?

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Answer:

perimeter is 20 cm

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9514 1404 393

Answer:

  -2 7/8

Step-by-step explanation:

The usual recommendation is to convert the mixed numbers to improper fractions before multiplying.

  [tex]-2\dfrac{5}{9}\times1\dfrac{1}{8}=-\dfrac{9\cdot2+5}{9}\times\dfrac{8\cdot1+1}{8}\\\\=-\dfrac{23\cdot9}{9\cdot8}=-\dfrac{23}{8}=\boxed{-2\dfrac{7}{8}}[/tex]

__

Note the factors of 9 cancel in the first expression on the last line, leaving -23/8.

Answer:

[tex]\frac{23}{8}=2\frac{7}{8}[/tex]

Step-by-step explanation:

[tex]-2\frac{5}{9}\times \:1\frac{1}{8}[/tex]

Step 1: Convert into an improper fraction

[tex]2\frac{5}{9}=\frac{2\times 9+5}{9}\\\\=\frac{23}{9}[/tex]

[tex]-\frac{23}{9}\times \:1\frac{1}{8}[/tex]

[tex]1\frac{1}{8}=\frac{1\times 8+1}{8}\\\\=\frac{9}{8}[/tex]

[tex]-\frac{23}{9}\times \frac{9}{8}[/tex]

Step 2: Cross-cancel 9

[tex]=-\frac{23}{8}[/tex]

Step 3: Convert to an improper fraction

[tex]\frac{23}{8}=2\frac{7}{8}\\\\2\frac{7}{8}[/tex]

*need answer asap*
A student performs several experiments in which he swings a pendulum for a 20 second duration. He uses a string that is 27 cm long, and he test pendulum masses of different sizes, varying from 2 to 12 grams. He records the number of swings each pendulum makes in 20 seconds.
The student then decides to make a second graph showing the string length (in cm) as the independent quantity. What change must the student make to his experiment?

Answers

The students must make use of varying string lengths in his experiment in other to make string length the independent quantity.

In the first first scenario,

The number of swings made by each pendulum is the dependent variable, as it is the variable which is measured in the experiment. While ;

The different pendulum masses tested are the Independent variable as it is the variable which is manipulated in other to cause changes to the measured variable.

In other make the string length the independent quantity, the student will need to use strings of different length and not just a string of 27 cm in other to be used as the independent variable. This will enable manipulation of the independent quantity to other to cause changes to the measured variable.

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How do you solve this and method do you use?

Answers

Answer: B. 3x (1 - 3x²)

Step-by-step explanation:

Given

[tex]\frac{9x^4-27x^6}{3x^3}[/tex]

Factorize the numerator

=[tex]\frac{3x^3*3x-3x^3*9x^3}{3x^3}[/tex]

=[tex]\frac{9x^4(3x-9x^3)}{3x^3}[/tex]

Cancel terms in numerator and denominator

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

=[tex]\boxed {3x(1-3x^2)}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Solve the equation for the specified variable.
s=gh-4gc4, for g

Answers

Answer:

OOOOOOOOOOOOOOOOOOOOOOOOOOO OK BRO

Step-by-step explanation:

Joanne a total score for a round of darts was -42 she had thrown 6 darts and scored the same each throw How many points did Joanne score on each throw

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Ok, so we know 42 is the number of points added up, and we know that she threw 6 darts all scoring the same. Now, all we have to do is figure out what number(for example x) multiplied by 6 equals 42. Or in the form of an equation:

6x = 42

Now, to finish the equation, all we have to do is divide:

6x/6 = 42/6

42/6 = 7

x = 7

Hey yall I need help right now I don't feel well. I'm giving 30 points for this.
How do you simplify _/(square root) of 150 x(to the tenth power)y(to the 13th power)
Thanks. Sorry I couldn't write it out my dual enrolling class doesn't lemme copy.

Answers

You can delete mine if you want but try to get soon ASAP!

One of the legs of a right triangle measures 4 cm and the other leg measures 3 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

5

Step-by-step explanation:

a² + b² = c²

4² + 3² = c²

16 + 9 = c²

c = √25

c = 5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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d. 1/7^7

Answers

Answer:

c. 1/7^2

Step-by-step explanation:

As,

[tex] {7}^{3} \times {7}^{ - 5} [/tex]

[tex] = {7}^{3 - 5} [/tex]

[tex] = {7}^{ - 2} [/tex]

[tex] = \frac{1}{ {7}^{2} } [/tex]

Answer:

c. (1/7^2) is the answer

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Answers

Answer:

focus is (-5, 0)

Step-by-step explanation:

[tex] {y}^{2} = 4ax \\ 4a = 20 \\ a = 5[/tex]

help :( i need help with 1b

Answers

Step-by-step explanation:

since you understood 1a, I honestly do not understand what's the problem with 1b.

this works exactly the same way. only this time it is x+0 and y changes. that is all.

(x, y) -> (x+0, y-5)

A" = (-6. 2)

B" = (-4, -3)

C" = (-8, -3)

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Answers

Answer:

Natural Numbers are basically "counting numbers". If I ask you to start counting, you'll start at 1, then 2, then 3, and so on. It doesn't include 0 or any negative numbers because you wouldn't start from -10 when asked to count.

brainliest is appreciated :)

Answer:

-7 is negative so it cannot be a natural number, but it is an integer. An integer is a whole number, this means that it does not have any decimal places or fractions. However, a natural number must be a whole non-zero number and positive. This is because natural numbers are numbers found naturally in measurements or in counting. Additionally, all natural numbers are integers but not all integers are natural numbers. For example, -3 would be an integer, 9 would be an integer and a natural number, and 7.6 would be neither.

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Answers

y = 118
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Answers

Hi! I'm happy to help!

To first solve this, we need to know what is going on. In the order of operations, everything inside of the parenthesis happens first. Since 4 and m are being multiplied inside of the parenthesis, that would happen before being moved to the fifth power. Since m is unknown, we make everything inside of the parenthesis to the fifth power, and make sure they are multiplied together as they are inside of the parenthesis. (Everything inside of the parenthesis applies to the raising to the fifth power.)

[tex]4^{5}[/tex]·[tex]m^{5}[/tex]

From here, we can simplify [tex]4^{5}[/tex] to 1024.

1024·[tex]m^{5}[/tex]

We don't need the multiplication sign because it is a variable.

1024[tex]m^{5}[/tex]

Since we cannot simplify m, this is our most simplified form: 1024[tex]m^{5}[/tex]

I hope this was helpful, keep learning! :D

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Answers

Answer:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

1. √47 => E

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Write the given phrase as an algebraic expression Use the variable x to represent each unknown number A number divided by eleven

The answer is:​

Answers

Answer:

[tex]x\div 11[/tex]

Step-by-step explanation:

Hi there!

Let [tex]x[/tex] be equal to "the number".

A number is divided by eleven

⇒ [tex]x\div 11[/tex]

I hope this helps!

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b. (18 + (– 20)) • 10 = – 380 Corrección:
c. 0 • (–45) = –45 Corrección:

Answers

The first one is right and the other two are wrong

210 oranges, 252 apples and 294 pears are equally packed in cartons so that no fruit is left. What is the biggest possible number of cartons needed?

i also want explanation to pls

Answers

Answer:

∴ The greatest number that divides 210, 252 and 294 is 42.

Step-by-step explanation:

We have to find the LCM of the given rows 12, 15 and 40. (Taking Highest Powers). Therefore, least number of saplings that can be arranged in given rows are 120.

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Answer:

28.26 is the correct answer

branliest for whoever answers right

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Answer:

Q (8, 8)

R (5, 8)

S (9, 5)

Step-by-step explanation:

remember (-x, -y)

for a 180 rotation, just switch the signs of both sides of your ordered pair

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590.66 repeat but a line on top of 66

Hope this helps *smiles*

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0.00174216027

If h(x)= 3x+b and hh (2) = 12 then Find the value of b.​

Answers

hh(2)=3(hx)+b
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