Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used. He has another gift card for $145 that loses $3.50 for each 30-day period it is not used. Write an equation for the number of 30-day periods until the value of the gift cards will be equal. Let x represent the number of 30-day periods.

Answers

Answer 1

Answer:

x=20

Step-by-step explanation:

Let  = a 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 x

    +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


Related Questions

need help finding the side length, thank you! please try and show work or you can

Answers

Answer: x=16

Step-by-step explanation:

For this problem, we can set a proportion to find the side length of the smaller rectangle.

[tex]\frac{15}{24}=\frac{10}{x}[/tex]                                     [cross multiply]

[tex]15x=240[/tex]                                 [divide both sides by 15]

x=16

* Required
Solve.
15) 4x + 2 y = 14
2x + y = 8​

Answers

Answer:

Step-by-step explanation:

4x + 2y = 14

-4x - 2y = -16

0 ≠ -2

no solutions

Please help me find the answer

Answers

Answer:

[tex]k = \frac{2P}{x^2}[/tex]

Step-by-step explanation:

[tex]P= \frac{1}{2} kx^2\\\\P=\frac{kx^2}{2}\\\\ 2P =kx^2\\\\\frac{2P}{x^2}= \frac{kx^2}{x^2} \\\\k= \frac{2P}{x^2}[/tex]

Help anyone I need this for my test tomorrow please I am being anyone who knows how to do algebraic expression

Answers

Answer:

19. x > 7

20. x < 35

21.[tex]5\times x =5x[/tex]

22. [tex]\frac{1}{3} \times x = \frac{1}{3} x[/tex]

23.[tex]f\div 10[/tex] or [tex]\frac{f}{10}[/tex]

24. 45r

25.[tex]3\times x +16=3x+16[/tex]

26.[tex]18-3\times d = 18-3d[/tex]

27.[tex]k^2 -11[/tex]

28.[tex]\frac{20}{t^5} \\[/tex]

Step-by-step explanation:

Write the equation of a line with a slope of 4 and a y-intercept of −3.

Answers

Answer: y=4x-2

Step-by-step explanation:

Slope-intercept form: y=ax+b, where a is the slope and b is the y-intercept.

Given: slope is 4, and y-intercept is -3

y=ax+b

y=4x+(-3)

y=4x-3

Hope this helps!! :)

Please let me know if you have any question

Use the figure to find the Volume. 30 cu. units 60 cu. units 104 cu. units

Answers

Answer:

60 cu units

Step-by-step explanation:

volume is base times height times length

5 x 6 x 2

what is the degree of -7xyz^2

Answers

Answer:

The degree is 4

Let me know if it helped :)

What is the gravitational potential energy (in Joules) of a 75 kg tourist at the top floor of the Sears Tower in Chicago that is 436 m high? Place the value in the space below without any commas or letters.

Answers

Answer:

Gravitational potential energy = 320,460 joules

Step-by-step explanation:

Given:

Mass of tourist = 75 kg

Height = 436 m

Gravitational accelration = 9.8 N/kg

Find:

Gravitational potential energy

Computation:

Gravitational potential energy = mgh

Gravitational potential energy = (75)(9.8)(436)

Gravitational potential energy = 320,460 joules

Answer:

Step-by-step explanation:

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 40 lb. The maximum capacity of the elevator is 670 lb. How many boxes of books can the delivery person bring up at one​ time?

Answers

Answer:

Step-by-step explanation:

So if the delivery person weights 160 lbs than we’re going to subtract 670-160=510 next we divide 40 into 510 which is 12.75. Which means that he can bring 12 boxes.

Answer:

12

Step-by-step explanation:

max cap 670lb- delivery person 160lb  weight left 510lb

weight 510lb/each box 40lb number of boxes 12.75lb

each box 40lb times number of boxes 12lb  480lb+160lb 640lb

so your still have 30 lb before max weight of elevator

The are of a rectangle is 50m^2 , the length is 100m . Calculate the width

Answers

Answer:

w = 0.5 m

Step-by-step explanation:

A = l × w

50m² = 100m × w

w = 50m²/100m

w = 0.5 m

Answer:

The answer is 0.5 m i.e Width = 0.5 m

Step-by-step explanation:

Given,

Area (A) = [tex]50m^{2}[/tex]

length (l) =100 m

width ( b ) = ?

Now,

 A = l * b

or, 50 = 100 * b

or, [tex]\frac{50}{100}[/tex]= b

or, b = 0.5 m

Solve the system of linear equations in two variables by elimination or substitution.
2x + 4y = 4
2x - y=1

Answers

Answer:

x = 0.8    y = 0.6

Step-by-step explanation:

Solve one of the equations for a single variable, I chose the 2nd equation and solved for the variable y and I got y = 2x -1.

Next plug in the value for y into the 1st equation, I got :

2x + 4 ( 2x - 1) = 4

Next solve for x by first distributing the 4 to the (2x-1), this becomes (8x -4) then add like terms and move the -4 to the other side of the equation by addition. I got 10x =8 then I divided 8/10 to solve for x and I got 0.8.

Now plug the value 0.8 in for x in the 2nd equation : 2*(0.8) - y = 1

Then solve for y by subtracting 2*(0.8) or 1.6 from 1 and I got -0.6, lastly divide by -1 to solve for y.

Factor the common factor out of the expression.

4a^4 – 20a^2​

Answers

Answer:

4a²(a² - 5)​

Step-by-step explanation:

4a⁴ – 20a² =

4a²× a² - 4a²×5 =              ⇒ common factor is 4a²

4a²(a² - 5)​                         ⇒ factorized

is this a expression or inqualities 15x < x + 8

Answers

Answer:

Inequality

Step-by-step explanation:

An expression would not have a greater than or less than sign and this has one so it is an inequality

Answer:

inequalities

Step-by-step explanation: it deals with inequalities

The first five batters on a softball team’s lineup have the following numbers of hits for the season: 83, 71, 68, 62, 61. What is the mean number of hits for these five players?

Answers

Answer:

296.2

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

83+71+68+62+61(players hits for the season)=345

345(total of numbers added)÷5(number of players)

69(average of players hits as a team)

HELP ME PLEASE!!!! :))

Answers

The answer is D. x^2+3x

Help ASAP thank youu

Answers

Answer:

25°C

Step-by-step explanation:

C = 5/9(F - 32)

= 5(77 - 32)/9

= 5×45/9

= 5×5

= 25° C

Answer: The answer is 25°C.

  I hope this helped and please please mark me as brainlest.

Find the equation of the line below.

Answers

Answer:

y = 2x

Step-by-step explanation:

The equation of a line is y = mx + b

We can plug in values for x and y,:

x = 1, y = 2

2 = m + b  <- equation 1

x = 4 y = 8

8 = 4m + b <- equation 2

We can multiply equation 1 by 4, getting 8 = 4m + 4b.

We can them subtract equation 1 by equation 2, getting 3b = 0.

Therefore, b = 0.

We can use the equation 2 = m + b and find m:

Since b = 0, m = 2.

The equation is then y = 2x.

What is the solution to the equation 3x – 8 = -2?
O A. -3 1/3
O B. 3 1/3
C. 2
D. -2

Answers

Answer:

option (c) 2

Step-by-step explanation:

We have the linear equation :-

→ 3x - 8 = -2

add 8 both sides

→ 3x - 8 + 8 = -2 + 8

→ 3x = 6

→ x = 6 ÷ 3

→ x = 2

c.2 is the answer for this question

2a – 6 (a – 4) = -4
Can I solve this?

Answers

Answer:

-4

Step-by-step explanation:

Answer:

A=7

Step-by-step explanation:

2a-6a+24=-4

simplify

-4a+24=-4

subtract 24 from both sides

-4a=-28

divide both sides by -4

a = 28/4

simplify 28/4 to 7

a=7

the Rope is 30m long. how many 3/4 meter pieces can be cut from the rope​

Answers

Answer:

40

Step-by-step explanation:

Given:

Length = 30 mPieces = 3/4 m

Number of pieces:

30 ÷ 3/4 = 30 × 4/3 = 40 pieces

What is the constant in the expression 6a+2b+5?

Answers

Answer:

The answer would be 5.

Step-by-step explanation:

Tthe other terms have a number being multiplied by a variable.

0.29 rounded? I need this for msth and quick!!

Answers

.3 is that rounded to the nearest tenth

Answer:

0.29 rounded to the nearest ones is 0.

0.29 rounded to the nearest tenths is 0.3

0.29 rounded to the nearest hundredths is 0.29

Step-by-step explanation:

Note that when rounding, you always look at the place value directly next to the one you are rounding. Note that if the digit is 5 or greater, round up; If 4 or less, round down.

Round to the nearest ones:

Look at the place value directly next to the ones (tenths place value). It is a 2. Because 2 is less than 5, round down:

0.29 rounded to the nearest ones is 0.

Round to the nearest tenths:

Look at the place value directly next to the tenths (hundredth place value). It is a 9. Because 9 is greater than 5, round up:

0.29 rounded to the nearest tenths is 0.3

Round to the nearest hundredths:

Look at the place value directly next to the hundredths (thousandths place value). Because there is no number, it is typically signified by a 0 (place holder).

0.29 rounded to the nearest hundredths is 0.29

~

As a decimal number
8×1+1× 1/ 10 +6× 1 /100 +7× 1/ 1000 =

Answers

Answer:

the answer is 8.167

Step-by-step explanation:

Growth and decay question

Answers

Answer:

Decay

Step-by-step explanation:

Staring at 3000 every y = half of the previous one.

Simplify.
40w4
8w6
Only simplify don’t actually solve and if u give me the right answer first I’ll give u the crown

Answers

So, there’s a few problems here.
Firstly, is the w meant to represent the second number as an exponent? because if so, the correct symbol is (^) and it should look like (40^4) and (8^6). Or is the w meant to be a variable and you need to simplify (40*w*4) and (8*w*6).

Secondly, if you did mean you need (40^4) and (8^6) to be simplified, the only way something can be simplified without being solved is if the equation has a variable(letter) in it such as x or y.

To simplify something means combining the terms until there is nothing left you are able to do. So solving the problems would be simplifying them since they have no variables

If you did mean (40^4) and (8^6) to be simplified, the answers would be
40^4= 2,560,000
8^6=262,144

I hope this information was helpful in anyway, I would be happy to help you if you could clarify for me what you want simplified by leaving a comment on this answer

Lee measured a restaurant and made a scale drawing. The scale he used was
2 millimeters : 1 meter. The restaurant's kitchen is 27 meters long in real life. How long is the kitchen in the drawing?

Answers

Answer:1 meter

Step-by-step explanation:

because in drawing it cant be as big as it is in real life

1/4 Divided By 9/10=

Answers

Answer:

[tex]\frac{5}{18}[/tex]

Step-by-step explanation:

When dividing fractions, the formula is simple: Keep Flip Change (KFC)

So keep [tex]\frac{1}{4}[/tex] change your division sign to a multiplication sign, and flip [tex]\frac{9}{10}[/tex] so it becomes [tex]\frac{10}{9}[/tex].

[tex]\frac{1}{4}[/tex]·[tex]\frac{10}{9}[/tex]=[tex]\frac{10}{36}[/tex]

Then you need to reduce your fraction to simplest form.

[tex]\frac{5}{18}[/tex]

5/8 or 0.27

Hope this helped

you are installing a support wire for an electrical pole. the pole is 25 feet and the ground connection is 10 feet from the base of the pole. the wire is sold per whole feet. how many feet of support why should you purchase

Answers

ans=26.92

use trigonometric ratios

a²= b²+c²

a²=25²+10²

a²=625+100

now take square root on both sides

a

[tex] \sqrt{a { }^{2} } = \sqrt{725} [/tex]

a=26.92

a=27 (2decimal place)

Is y=4x+13 a function​

Answers

Answer:

Yes

Step-by-step explanation:

yes it is a function

a+3ab+67a-2ab-1 and for 5 stars​

Answers

Answer:

68a+ab−1

Step-by-step explanation:

cancel out

Answer:

Step-by-step explanation:a+67a=68a

3ab+2ab=5ab

so 69a+5ab-1

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