A laptop computer is purchased for $1850 . After each year, the resale value decreases by 35% . What will the resale value be after 5 years? round your answer to the nearest dollar.

1) No, because it is a repeating decimal

2) Yes, because it is neither terminating nor repeating

3) Yes, because it is a terminating decimal

4) No, because it is a repeating decimal

In this exercise we have to use the knowledge of polygon areas to calculate the area of ​​each of the informed objects, so we have to:

1) [tex]h = 19.1 in[/tex]

2) [tex]a = 6.7 ft[/tex]

3) [tex]e = 2.3 m[/tex]

4) [tex]y = 9.8 cm[/tex]

5) [tex]o = 71.6 ft[/tex]

6) [tex]e = 15.3 in[/tex]

7) [tex]y = 41.5 m[/tex]

8) [tex]o = 13.7 cm[/tex]

9) [tex]p = 18.5 ft[/tex]

10) [tex]s = 25.8 in[/tex]

11) [tex]b = 61.3 m[/tex]

12) [tex]n = 6.2 cm[/tex]

Then each of the figures will have its own area formula that corresponds to:

1) For the rectangle we find that:

[tex]14/11 = h/15\\h = 19.1 in[/tex]

2) For the rectangle we find that:

[tex]5/a = 9/12\\a = 6.7 ft[/tex]

3)For the rectangle we find that:

[tex]3.7/6.5 = e/4.0\\e = 2.3 m[/tex]

4) For the triangle we find that:

[tex]10/8 = s/13\\s = 16.3 cm\\6/8 = y/13\\y = 9.8 cm[/tex]

5) For the triangle we find that:

[tex]n/70 = 53/88\\n = 42.2 ft\\o/70 = 90/88\\o = 71.6 ft[/tex]

6) For the triangle we find that:

[tex]t/9.1 = 11.2/5.7\\t = 17.9 in\\e/9.1 = 9.6/5.7\\e = 15.3 in[/tex]

7) For the triangle we find that:

[tex]u/48 = 43/74\\u = 27.9 m\\y/48 = 64/74\\y = 41.5 m[/tex]

8) For the triangle we find that:

[tex]6.2/11.8 = t/10.1\\t = 5.3 cm\\o/10.1 = 16.0/11.8\\o = 13.7 cm[/tex]

9) For the triangle we find that:

[tex]30/p = 13/8\\p = 18.5 ft[/tex]

10) For the trapezoid we find that:

[tex]20/s = 12/15.5\\s = 25.8 in[/tex]

11)For the triangle we find that:

[tex]l/46 = 125/75\\l = 76.7 m\\b/46 = 100/75\\b = 61.3 m[/tex]

12)For the triangle we find that:

[tex]5.1/4.3 = r/9.8\\r = 11.6 cm\\n/9.8 = 2.7/4.3\\n = 6.2 cm[/tex]

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Answer:

slope = - 1

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 ) = (- 2, 0) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = [tex]\frac{-2-0}{0-(-2)}[/tex] = [tex]\frac{-2}{0+2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1

Answer:

speed of plane = 580 mph

wind speed  = 20 mph

Step-by-step explanation:

distance  = speed  * time

A plane traveled 1500 miles with the wind in 2.5 hours

1500 = (p + w) * 2.5

1500 = 2.5p + 2.5w    

1400 miles against the wind in the same amount of time.

1400 = (p - w)  * 2.5

1400 = 2.5p - 2.5w

Add the two bolded equations

2900 = 5p

Divide both sides by 5

580 = p

speed of plane = 580 mph

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

use either bolded equation to find the wind speed

1500 = 2.5p + 2.5w

substitute for p = 580

1500 = 2.5(580) + 2.5w

1500 = 1450 + 2.5w

Subtract 1450 fro mboth sides

50 = 2.5w

divide both sides by 2.5

20 = w

wind speed  = 20 mph

Answer:

1. 2 hours

2. 25cm

3. 6.84

Step-by-step explanation:

120÷3=40

4800÷40=120 so 2 hours

for the second one just divide 50 in half

for 3 just do $1.14×6

Answer:

1. 120 min

2. 25 cm

3. $6.84

Step-by-step explanation:

1. 120 words : 3min

multiply each side by 40 because 120 words times 4 is 4800 words

4800 words : 120min

2.   2 : 1 = length : width

multiply each side by 25 because 2 times 25 is 50 cm

50 cm : 25 cm

3. $1.14 : 100 grams

multiply each side by 6 because 100 grams times 6 is 600 grams

$6.84 : 600 grams

Answer:

1/6

Step-by-step explanation:

gradient= change in y/ change in x

-4--5/2--4= 1/6

1/6 is the gradient

Answer:

246 math and 82 history textbooks

Step-by-step explanation:

this one is a fun one

328 / 4 gives us a value of m and h which is 82

so 328 = 3x + y

328 = 3m(82) + 1h(82)

328 = 246m + 82h

328=328

Answer:

2.85 divided by 2.91 is 0.97938144329

so about 97.9 percent 2.1 percent decrease

Answer:

2.1

Step-by-step explanation:

put change over original times percent over 100

so .06 times 100 is 6 and 6 divided by 2.91 is 2.06 and rounding to the nearest tenth would be 2.1%

Answer:

If we solve any such equation and get the answer as 0 = 0 so this means that system of equations has infinite solutions.

Step-by-step explanation:

Perimeter = 2 (l + b)

2x² + 4x - 4y = 2 {(2x - 3y) + b}

2x² + 4x - 4y = (4x - 6y) + 2b

2x² + 4x - 4y - (4x - 6y) = 2b

2x² + 4x - 4y - 4x + 6y = 2b

2x² + 2y = 2b

(2x² + 2y)/2 = b

x² + y = b

Breadth = x² + y

Answer: 24 in, 41 in

Step-by-step explanation:

Set shorter piece is x in, and another longer one is y.

1. x + y = 65

2. y = 2x - 7

plug in the second equation into y of the first equation, we get:

x + (2x - 7) = 65

x + 2x - 7 = 65

    3x - 7 = 65  （Add 7 to the both side)

          3x = 72     (Divide 3 to both side)

            x = 24 in

Plug x in the second equations to slove y.

y = 2x - 7

y = 2(24) - 7

y = 41 in

Answer:

31:5

Step-by-step explanation:

A ratio is "the quantitative relation between two amounts," according to the Oxford Dictionary. We usually put a colon (:) between the two amounts in a ratio. In the scenario given, we have 31 gold coins for every 5 silver coins. We can represent this with the ratio 31:5.

If you have any more questions, let me know! :)

Answer:

Well 31 gold coins

5 silver

basically

31:5

Plot the points on a graph. You'll get a figure like a trapezoid.

Check the attached image.

_____

RainbowSalt2222 ☔

Answer:

20 x 10

Step-by-step explanation:

because these ar​e the remaining digits :D

The interval of hours for which Garage A is cheaper than Garage B is t > 4.

Let A represent the amount Garage A would charge if Aaliyah parks for t hours, and let B represent the amount Garage B would charge if Aaliyah parks for t hours.

Garage A charges an initial fee of $8 to park plus $2 per hour. Hence:

A = 2t + 8  

Garage B charges an initial fee of $4 to park plus $3 per hour. Hence:

A = 3t + 4

For Garage A to be cheaper than Garage B:

2t + 8 < 3t + 4

8 - 4 < 3t - 2t

4 < t

t > 4

The interval of hours for which Garage A is cheaper than Garage B is t > 4.

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Answer:

[tex](f - g)(x) = - 5 {x}^{2} + 5x - 7[/tex]

Answer:

There is no question, but I'll assume that if there is one, the useful conversion factor will be one tah expresses paint coverage in gallons/ft^2.

0.050 gallon/ft^2

Step-by-step explanation:

1 1/4 gallon covers  425 ft^2

(1 1/4 gallon)/(425 ft^2)

0.050 gallon/ft^2

Answer:

84 Miles

Step-by-step explanation:

The car drove 40 miles per hour for 7 hours so the car traveled 40X7 which is 280 miles and the van traveled at 52 miles per hour for 7 hours so the van traveled 52X7 which is 364 miles so the difference between both is 84 miles.

Answer:

A1 46 A5 134 dkfhwjhdufkk

Answer:

16x - 16

Step-by-step explanation:

Distribute the 4 to the other terms.

4(4x - 4) = 16x - 16

Answer:

<--------o           o------------->

         -4           2

Step-by-step explanation:

Because the sign in the inequalities is only greater than/ less than (not equal to), we know that there is an open dot on x=-4 and on x=2.

From there, we shade the area on the graph that is true to the function.  So, we can test points.

First we will test x=-5

-5<-4  --> this is true, so we will shade to the left of x=-4

Now test x=0

0<-4  --> this is false

0>2  --> this is also false, so the area between the two open dots will not be shaded

Now test x=3

3>2  --> this is true, so we will shade to the right of x=3

Answer: 8

Step-by-step explanation: Found the ratio of 6/12, which is 1/2, so I used ?/16, plugged it in.

Answer:

Slope-Intercept Form:

The equation of a line in slope-intercept form is y=mx+b. Since we know that the slope is -1, the equation so far is y=-x+b. To find the value of b, substitute in the given point.

3=-7+b

Add 7 to both sides.

10=b

The equation of the line is slope intercept form is y=-x-10.

Point-Slope Form:

The equation of a line in point-slope form is y-y1=m(x-x1). Substituting in the given point and slope, the equation is y-3=-(x-7).

Hope this helps! :)

Answer:

y= -x + 10

Step-by-step explanation:

3 = -1(7) + b

3 = -7 + b

10 = b

Since the slope is -1, that means it's just -x

So y = -x + 10

Answer:

y = 26

Step-by-step explanation:

y=x^2+10; x=4

plug in the value

y=4^2+10

simplify

y=16+10

y=26

Answer:

  AC = BC = 5 cm

  ∠A = 60°

Step-by-step explanation:

All of the points on a circular arc are the same distance from the center of the arc. This construction makes the radius of each arc be 5 cm, so point C is 5 cm from the arc centers: A and B. That is, ...

  AC = 5 cm

  BC = 5 cm

___

A triangle with all sides the same length is an equilateral triangle. It is also an equiangular triangle, so all three angles have the same measure: 180°/3 = 60°.

  ∠A = 60°