a car cost $20000 when it was purchased. the value of the car decreases by 8% each year. find the rate of decay each month and select the correct answer below.

-0.6667%
-0.81%
-0.0067%
-0.6924%

Answer:

y = -3x + 5

Step-by-step explanation:

For two lines to be perpendicular, the product of their slope must be -1.

Slope of the given line M = 1/3

Slope of the required line is m

If product is -1, then;

Mm = -1

1/3 m = -1

m = -3

SInce it intersects at the y intercept, y intercept c = 5

Get the required equation. Substitute m = -3 and c = 5 into the equation

y = mx+c

y = -3x + 5

Hence the required equation of the line is y = -3x + 5

Answer:

-17√2 /26 or -0.9247 to the nearest ten thousandth.

Step-by-step explanation:

The hypotenuse of the right triangle in which tan x = 2/3 is √(2^2 + 3^2)

= √13 so sin x = 2/√13 and cos x = 3/√13

sin2x = 2sinxcos

= 2* 2/√13 * 3/√13

= 12/13.

cos2x = cos^2x - sin^2x

= 9/13 - 4/13

= 5/13.

sin(2x + 5π/4)

= sin2x cos5π/4 + cos2x sin5π/4

= 12/13 * -1/√2 + 5/13 * -1/√2

= -12 / 13√2  - 5 / 13√2

= -17/13√2

= -17√2 /26.

Answer:

1) x=3/2y+1/2

2)x=-1/3y+-5/3

Step-by-step explanation:

1)

Let's solve for x.

2x−3y=1

Step 1: Add 3y to both sides.

102x−3y+3y=1+3y

2x=3y+1

Step 2: Divide both sides by 2.

2x/2

=

3y+1/2

x=3/2y+1/2

The sum of the measures of the exterior angles of a convex 21-gon is 360 degrees.

An exterior angle of a polygon is the angle between a side and its adjacent extended side.

Polygon is a plane figure with a finite number of straight line segments.

The sum of exterior angles of any polygon is 360 degrees.

The sum of the measures of the exterior angles of a convex 21-gon is 360 degrees.

Find out more on exterior angle at: https://brainly.com/question/2546141

#SPJ2

Answer:

The common ratio of the geometric sequence is:

[tex]r=-2[/tex]

Step-by-step explanation:

A geometric sequence has a constant ratio 'r' and is defined by

[tex]a_n=a_1\cdot r^{n-1}[/tex]

where

Given the sequence

[tex]-2,\:4,-8,\:16,\:-32,\:...[/tex]

Compute the ratios of all the adjacent terms:  [tex]r=\frac{a_n+1}{a_n}[/tex]

[tex]\frac{4}{-2}=-2,\:\quad \frac{-8}{4}=-2,\:\quad \frac{16}{-8}=-2,\:\quad \frac{-32}{16}=-2[/tex]

The ratio of all the adjacent terms is the same and equal to

[tex]r=-2[/tex]

Therefore, the common ratio of the geometric sequence is:

Answer:

12-x

Step-by-step explanation:

Answer:

wut

Step-by-step explanation:

Just as a plane figure can have mirror lines of symmetry, so can a solid have mirror planes of symmetry dividing it into mirror-image halves. Thus, a cuboid has three planes of symmetry dividing it into two halves.

D. 3

Answer:

for the shirts made column its 1, 2, 3, 4, 5

for the cost of machine it's 2 and 150

and for total cost its 160, 180, and 200

Step-by-step explanation:

Answer:

second graph

Step-by-step explanation:

Solving the inequality

- 6 < 3x - 12 ≤ 9 ( add 12 to all 3 intervals )

6 < 3x ≤ 21 ( divide the intervals by 3 )

2 < x ≤ 7

The graph has an open circle at 2 and a closed circle at 7

This is represented on the second graph

Answer: 64.3

Step-by-step explanation:

It depends what decimal place you want and how accurate you want to be.

64.3

64.292

64.0

Are all acceptable

Answer:

D. (7,-5) and (10,-1)

Step-by-step explanation:

Because 7 and 10 are on the Y and -5 and -1 is on the X

Answer:

x=4/9

Step-by-step explanation:

3(2x+8)=60x

6x+24=60x

6x+24-24=60x-24 -60x

-54x=-24

-54x= -24

x= 4/9

Answer:

one thousand three hundred twenty inches

Answer:

The solution to the system of equations be:

x = 0.5,  y = -0.5

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x+4y=1\\ 3x-5y=7\end{bmatrix}[/tex]

Multiply 2x+4y=1 by 3:      6x+12y=3

Multiply 3x-5y=7 by 2:      6x-10y=14

[tex]\begin{bmatrix}6x+12y=3\\ 6x-10y=14\end{bmatrix}[/tex]

subtracting the equations

[tex]6x-10y=14[/tex]

[tex]-[/tex]

[tex]\underline{6x+12y=3}[/tex]

[tex]-22y=11[/tex]

solve -22y for y

[tex]-22y=11[/tex]

Divide both sides by -22

[tex]\frac{-22y}{-22}=\frac{11}{-22}[/tex]

Simplify

[tex]y=-\frac{1}{2}[/tex]

[tex]y = -0.5[/tex]

For 6x+12y=3 plug in y = -1/2

[tex]6x+12\left(-\frac{1}{2}\right)=3[/tex]

[tex]6x-12\cdot \frac{1}{2}=3[/tex]

[tex]6x-6=3[/tex]

Add 6 to both sides

[tex]6x-6+6=3+6[/tex]

[tex]\frac{6x}{6}=\frac{9}{6}[/tex]

Simplification

[tex]x=\frac{3}{2}[/tex]

[tex]x = 1.5[/tex]

Therefore, the solution to the system of equations be:

x = 0.5,  y = -0.5

Answer:

x = -1

y = -2

Step-by-step explanation:

5x + 2y = -9      2y = -9 - 5x      y=(-9-5x)/2

3x + 4y = -11

3x+4[(-9-5x)/2] = -11

3x+( -36-20x)/2 = -11

3x-18-10x = -11

-7x = 7

x = -1

y = -2

Answer:

x = −1 and y = −2

Step-by-step explanation:

Utilicé sustitución.

Mire las imágenes para obtener una explicación paso a paso.

Answer:

it is the 3rd one

Step-by-step explanation:

Answer:

it's e/g

Step-by-step explanation:

adjacent/hypotenuse

the third option, as stated by someone else, is hypotenuse/adjacent, makig it incorrect

Answer:

160 hope this work!!! love

Answer:

i think its called general knowledge geometry and algebra. thats what i use and the question looks similar to what we do in there

Step-by-step explanation:

Answer:

take out 16 from both 32 and 48

Step-by-step explanation:

you'll get 16(2t-3)

Answer:

2(16t-24)

Step-by-step explanation:

2(16t-24)

32t-24

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

[tex] \frac{ \sqrt{10} }{5} [/tex]

or .632

Step-by-step explanation:

You have the beginning right.

However, it is X squared, so once you have the answer from adding the two fractions together, you have to Square Root that answer.

Answer:

x= √(10/25)

Step-by-step explanation:

From what you've written, you're on the right track. The formula is a^2+b^2=c^2. our two sides are a and b (doesn't really matter here which is which). And the hypotenuse, the longest leg the diagonal, is always c. Based on your substitution, everything is correct, except x. x should be squared. so the equation you should have is (1/5)^2 + (3/5)^2=x^2. From there, solve for x by adding a^2 and b^2 to get 10/25 = x^2.

Take the square root of each side to find √(10/25)=√(x^2). This is simplified as x equals plus or minus √(10/25). it's plus or minus because you took the square root. It's important to write that when solving square root. However, since this is a triangle your answer will be positive(you can't have negative distance).

Answer: It would be approximately 2000 ft.

Step-by-step explanation:

Answer:

12 inches

Step-by-step explanation:

Answer:

https://youtu.be/R0A-fEUWv1Y

Step-by-step explanation: I found this vid just watch this I hope it helps (just copy and paste)

Answer:

135 Kilograms

Step-by-step explanation:

Alex = 105

Brian = 115

Carlton = 135

135

Answer:

12/7

Step-by-step explanation:

[tex]6=\frac{6}{1} \\\frac{6}{1}*\frac{2}{7}=\frac{12}{7}[/tex]

When you multiply fractions you multiply straight accross

Answer:

-2

Step-by-step explanation:

as x goes up 1 y goes down 2

slope is change in y over change in x

-2/1=-2