Dan's car depreciates at a rate of 17% per year.
By what percentage has Dan's car depreciated after 4 years?
Give your answer to the nearest percent.

Answer:

75

Step-by-step explanation:

9 + 9 + 9 + 9 + 9 + 30 = 75

Good luck on your assignment!

Answer:

4

[tex]4 ^{2} \times \sqrt[2]{6} [/tex]

square root 16 is 4^2

same as 24 is 2/6

The requires answer for 16 x 24 by using special product patterns is 384.

A special product is a product of two binomials that hold a predictable pattern.

Now the given expression is,

16 x 24

Now both the terms can be written as,

16 = (20 - 4)

24 = (20 + 4)

Therefore we get,

16 x 24 =  (20 - 4) x (20 + 4)

since,

a² - b² = (a + b) (a - b)

⇒ (20 - 4) x (20 + 4) = 20² - 4²

∴ 6 x 24 = = 20² - 4²

⇒ 6 x 24 = 400 - 16

⇒ 6 x 24 = 384

Thus, the requires answer for 16 x 24 by using special product patterns is 384.

To learn more about special product:

https://brainly.com/question/2241589

#SPJ2

Answer:

b= 4.6

Step-by-step explanation:

use the pythagorean theorem.

Answer:

4.6

Step-by-step explanation:

Answer:

20 cause when According to Sciencealert, the longest math equation contains around 200 terabytes of text. Called the Boolean Pythagorean Triples problem, it was first proposed by California-based mathematician Ronald Graham, back in the 1980s.The Navier-Stokes equation, for me is the hardest of all. This is the full Navier-Stokes equation in conservative form. It looks pretty simple, but as one will dig in, they will notice why it is the hardest one.

Answer:

[tex]258\quad \mathrm{Remainder}\quad \:0[/tex]

Step-by-step explanation:

[tex]\frac{1032}{4} \\\\\begin{matrix}4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\\\mathrm{Divide}\:10\:\mathrm{by}\:4\:\mathrm{to\:get}\:2\\\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\\[/tex]

[tex]\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:4\\\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\underline{\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end[/tex]

Long story short ,

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\\\frac{1032}{4}\:\mathrm{is}\\\:258\:\mathrm{with\:remainder\:of}\:0[/tex]

Answer:

[tex]x = 152[/tex]

because these angles are infront of each other

Answer:

x = 152

Step-by-step explanation:

x and 152° are vertical angles and are congruent , then

x = 152

Answer:

60 degrees

Step-by-step explanation:

First find angle I by using the sum of the angles in a triangle is 180 degrees

59+61+I = 180

120 + I = 180

I = 180-120

I =60

<I = <x since they are corresponding angles

<x = 60 degrees

Answer:

.3 feet

Step-by-step explanation:

3.8 - 3.5 = .3

Answer:

He can fit 11 ft^3

Step-by-step explanation:

Here, we want to get the volume it clothes that could fit into the two boxes

What we have to do here is to add the amount of space each of the box has to offer

Mathematically, we have this as;

7 ft^3 + 4 ft^3 = 11 ft^3

Answer:

D) Neither the table nor the graph shows a proportional relationship

Step-by-step explanation:

We know the equation of the line:-

[tex]y-y_{1} =m(x-x_{1}) ~ m=slope[/tex]

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

[tex](x_{1}y_{1})=(-1 ,-9)[/tex]

[tex](x_{2},y_{2} )=(1,-3)[/tex]

[tex]\frac{m=(-3)-(-9)}{1-(-1)} =\frac{-3+9}{1+1} =\frac{6}{2} =3[/tex]

[tex]m=3[/tex]

[tex]y-(-9)=3(x-1)[/tex]

[tex]y+9=3(x+1)[/tex]

[tex]y+9=3x+3[/tex]

[tex]y=3x-6 ~ or ~ y=3(x-2)[/tex]

so, your answer is D

»»————-　♔　————-««

hope it helps..

have a great day!

Answer:

The pair of points A and B to point C such that ∠ABC = 90° are;

1) A(-10, 5) and B(12, 16), C(18, 4)

2) A(12, -14) and B(-16, 21), C(-11, 25)

Step-by-step explanation:

The angle formed between the points A and B to point C, ∠ABC is 90° when the the line passing through points A and B is perpendicular to the line passing through points B and C

Therefore, for ∠ABC = 90°

[tex]\overline{AB}[/tex] is perpendicular to [tex]\overline{BC}[/tex] (

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The slope of  [tex]\overline{BC}[/tex] = -1/m, where, the slope of [tex]\overline{AB}[/tex] = m

Each option is analyzed as follows;

1) A(3, 3) and B(12, 6) C(6, 52)

The slope of [tex]\overline{AB}[/tex] = (6 - 3)/(12 - 3) = 0.[tex]\overline 3[/tex]

The slope of [tex]\overline{BC}[/tex] = (52 - 6)/(6 - 12) = -7.[tex]\overline 6[/tex] ≠ 1/(0.[tex]\overline 3[/tex]) = 3

∴ [tex]\overline{AB}[/tex] is not perpendicular to [tex]\overline{BC}[/tex] and ∠ABC ≠ 90°

2) A(-10, 5) and B(12, 16) C(16, -6)

The slope of [tex]\overline{AB}[/tex] = (16 - 5)/(12 - (-10)) = 0.5

The slope of [tex]\overline{BC}[/tex] = (-6 - 16)/(16 - 12) = -5.5 ≠ 1/(0.5) = 2

For point C(18, 4), we have;

The slope of [tex]\overline{BC}[/tex] = (4 - 16)/(18 - 12) = -2

∴ A(-10, 5) and B(12, 16) is perpendicular to C(18, 4)

∴ ∠ABC = 90°

3) A(-8, 3) and B(12, 8) C(18, 4)

The slope of [tex]\overline{AB}[/tex] = (8 - 3)/(12 - (-8)) = 0.25

The slope of [tex]\overline{BC}[/tex] = (4 - 8)/(18 - 12) = -0.[tex]\overline 6[/tex] ≠ 1/(0.25) = 4

∴ [tex]\overline{AB}[/tex] is not perpendicular to [tex]\overline{BC}[/tex] and ∠ABC ≠ 90°

4) A(12, -14) and B(-16, 21) C(-11, 25)

The slope of [tex]\overline{AB}[/tex] = (21 - (-14))/((-16) - 12) = -1.25

The slope of [tex]\overline{BC}[/tex] = (25 - (21))/((-11) - (-16)) = 0.8 = 1/(-1.25)

∴ [tex]\overline{AB}[/tex] is perpendicular to [tex]\overline{BC}[/tex] and ∠ABC = 90°

5) A(-12, -19) and B(20, 45)

C(16, -6)

The slope of [tex]\overline{AB}[/tex] = (45 - (-19))/(20 - (-12)) = 2

A(30, 20) and B(-20, -15)

The slope of [tex]\overline{AB}[/tex] = (-15 - 30)/(-20 - 20) = 1.125

The slope of [tex]\overline{BC}[/tex] = (6 - 52)/(12 - 6) = -5.5 ≠ 1/(0.5) = 2

6) The slope of [tex]\overline{BC}[/tex] = (-6 - 16)/(16 - 12) = -5.5 ≠ 1/(0.5) = 2

∴ [tex]\overline{AB}[/tex] is not perpendicular to [tex]\overline{BC}[/tex] and ∠ABC ≠ 90°

Answer:

75

Step-by-step explanation:

All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent.

On the right side  angles wil be either 75 or 105  (75+105= 180)

Answer:

200

Step-by-step explanation:

please mark as brainliest if correct

thank you

Answer:

I think JL is equavalent to 18, because there is a 9 coming from KE and it goes directly to the center and all the lines are the same within the rectangle. 18 is my answer

Answer:

∠WXU & ∠WXZ

Step-by-step explanation:

[tex]6 * 4 - 2 =[/tex]

1. [tex]6 * 4 = 24[/tex]

2. [tex]24 - 2 = 22[/tex]

Answer: 22.

Answer:

10cm

Step-by-step explanation:

Answer:

The one that reached up to 8 on the graph.

Step-by-step explanation:

Answer:

m∠1 = 100°

Step-by-step explanation:

Answer:

Amount in account of Kevin after [tex]n[/tex] weeks is equal to [tex]\$(1400+170n)[/tex]

Step-by-step explanation:

Initial amount in the savings account [tex]=\$1400[/tex]

Amount deposited each week by Kevin [tex]=\$170[/tex]

Amount deposited by Kevin in [tex]n[/tex] weeks [tex]=\$170n[/tex]

Therefore,

Amount in account of Kevin after [tex]n[/tex] weeks [tex]=[/tex] Initial amount in the savings account [tex]+[/tex] Amount deposited by Kevin in [tex]n[/tex] weeks

[tex]=\$(1400+170n)[/tex]

Answer:

75 vitamins = 18 dollars

Step-by-step explanation:

25 vitamins are equal 6 dollars

Answer:

$311.25

Step-by-step explanation:

Hope its right!   50/$12 divided by 6 = 2/$8.3 divided by 2 = 1/$4.15

1/$4.15 x 75 = 75/$311.25  I hope this is right if not im so sorry!

Answer:

25

Step-by-step explanation:

2 out of 12 means also 1 out of 6.

so, a ratio of 1:6 or a factor of 1/6.

150 × 1/6 = 150 / 6 = 25

so, we expect that out of the 150 sold cars 25 have been red.

Answer:

Step-by-step explanation:

Given function:

The time the javelin is in the air is the difference of zero's of the function:

Time in the air:

It is better visible on the graph

Answer:

16.4 units

Step-by-step explanation:

Refer to the attached image, just find the hypotenuses of the three additional triangles, and add them up to become the perimeter of the yellow triangle.

Using Pythagoras Theorem:

Hypotenuse of the red triangle

[tex] = \sqrt{ {3}^{2} + {5}^{2} } [/tex]

[tex] = \sqrt{34} [/tex]

Hypotenuse of the blue triangle

[tex] = \sqrt{ {3}^{2} + {3}^{2} } [/tex]

[tex] = \sqrt{18} [/tex]

Hypotenuse of the green triangle

[tex] = \sqrt{ {2}^{2} + {6}^{2} } [/tex]

[tex] = \sqrt{40} [/tex]

The perimeter of the yellow triangle

[tex] = \sqrt{34} + \sqrt{18} + \sqrt{40} [/tex]

[tex] = 16.398...[/tex]

= 16.4 units

Answer:

80°

Step-by-step explanation:

Apply vertically opposite angles,

∠BEC = ∠GEA = 8x°

∠GEC = ∠BEA = (4x+60°)

To find x, apply angles at a point,

8x + 8x + (4x+60°) + (4x+60°) = 360°

16x + 2(4x+60°) = 360°

16x + 8x + 120° = 360°

24x = 240

x = 10

To find ∠BEC (8x°),

8 × 10 = 80°

Answer:

I believe the volume is 540cm

Step-by-step explanation:

To find the volume of a rectangular prism, all you really need to do is multiply the length x width x height (LxWxH)

For this shape it's just:

9(L)*12(W)=108

108*5(H)=540

Answer:

the volume should be 58320

Step-by-step explanation:

12 x 9 x 12 x 5 x 9 = 58320

sorry if I'm wrong

Answer:

I hope this helps you :)...

Answer:

(

[tex] {a}^{2} + 2ab + {b}^{2} [/tex]

Step-by-step explanation:

(a+b)²

=(a+b)(a+b)

=a(a+b)+b(a+b)

=a²+2ab+b²