Depreciation is the decrease in value of an item. Three years ago, Aaron bought a computer for $930. The computer is now worth $570. Assuming the value of the computer depreciates linearly, what is its yearly depreciation?

Answer:

11x-55-5a+ax

11(x-5)+a(x-5)

(11+a)(x-5)

Step-by-step explanation:

First you factor out the common factors

for(11x-55) is would be 11 as both of these figures are the multiple of 11

for(ax-5a) the common factor is a which will be factor out

Then after doing the process you will get

11(x-5)+a(x-5)

then factor out(x-5)which will give you

(11+a)(x-5)

Answer:

Answer is below. I have grouped it.

Step-by-step explanation:

=(11x-55) + (-5a+ax)

=11 ( x - 5) +a ( -5+x)

= 11(x-5)+a(x-5)

(11+a)(x-5)

(x-5)(11+a)

Answer:

900

Step-by-step explanation:

45x20=900

maybe be the answer i really don't know, i'm sorry.

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Explanation:

See the diagram below.

We start with triangle PQR with the given angles mentioned. Then you extend out segment QR to form line QR. It goes off infinitely in both directions.

The exterior angle x adds to the interior angle Q = 40 to get 180

x+40 = 180

x+40-40 = 180-40 ... subtract 40 from both sides

x = 140

The exterior angle is 140 degrees

Answer:

Hey there!

These would also be acute angles.

Let me know if this helps :)

Answer:

I can tell you the points

(6 , 11) and (-7 , -11)

Step-by-step explanation:

Answer:

if f(x)=0,

then 2x-7=0

so,x=7/2

Answer:

f−1(x)=12(y−7). Explanation: Given: f(x)=2x+7. Let y=f(x). y=2x+7. Expressing x in terms of y gives us the inverse of x. y−7=2x. 2x=y−7. x=12(y−7)

Answer:

10.

Step-by-step explanation:

x^2 + 5x = 150

x^2 + 5x - 150 = 0

This equation will factor:

(x - 10)(x + 15) = 0

x - 10 = 0 or x + 15 = 0, so:

x = 10 or -15.

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Work Shown:

First get everything to one side

[tex]x^2 + 5x = 150\\\\x^2 + 5x - 150 = 0\\\\[/tex]

Now use the quadratic formula

Plug in a = 1, b = 5, c = -150.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(5)\pm\sqrt{(5)^2-4(1)(-150)}}{2(1)}\\\\x = \frac{-5\pm\sqrt{625}}{2}\\\\x = \frac{-5\pm25}{2}\\\\x = \frac{-5+25}{2} \ \text{ or } \ x = \frac{-5-25}{2}\\\\x = \frac{20}{2} \ \text{ or } \ x = \frac{-30}{2}\\\\x = 10 \ \text{ or } \ x = -15\\\\[/tex]

Factoring, completing the square, or graphing are alternative methods to get these two answers. We see that the positive root is x = 10.

Answer:

y=a|x-h|+k  (absolute value function)

a= 3/5  (a easier way to know is it is somehow basically the slope of the line but it must be positive.)

h= -3 (you are correct)

k= -1 (you are correct)

im not going to give u the answer but all you do is

step by step :

#1. D2- (-6*2),(0*2)=(-12,0)

(3*2), (-9*2)= (6,-18)

(12*2),(4*2)=( 24,8)

Answer:  see proof below

Step-by-step explanation:

Use the following Double Angle Identities: cos 2A = 1 - 2sin²A

                                                                        sin 2A = 2sinA · cosA

[tex]\text{Given:}\quad \tan A = \dfrac{x}{y}[/tex]

Proof LHS = RHS

y cos 2A + x sin 2A = y

                  x sin 2A = y - y cos 2A

                  x sin 2A = y(1 - cos 2A)

                  [tex]\dfrac{x}{y}=\dfrac{1-\cos2A}{sin\ 2A}[/tex]

                  [tex]\dfrac{x}{y}=\dfrac{1-(1-2sin^2A)}{2\sin A\cdot \cos A}[/tex]

                  [tex]\dfrac{x}{y}=\dfrac{2sin^2A}{2\sin A\cdot \cos A}[/tex]

                  [tex]\dfrac{x}{y}=\dfrac{\sin A}{\cos A}[/tex]

                  [tex]\dfrac{x}{y}=\tan A}[/tex]

This is a TRUE statement since it was given that  [tex]\tan A = \dfrac{x}{y}[/tex]  

Answer:

108

Step-by-step explanation:

if n = 9

Then 12 times n equals 108

Answer:

[tex] \boxed{ \bold{ \sf{x = 16}}}[/tex]

[tex] \boxed{ \bold{ \sf{m < AFD = 82}}}[/tex]

Step-by-step explanation:

[tex] \sf{5x + 18 = 3x + 50}[/tex]

( Being vertically opposite angles)

Vertically opposite angles are always equal.

Move variable to L.H.S and change it's sign

Similarly, Move constant to R.H.S and change it's sign

⇒[tex] \sf{5x - 3x = 50 - 18}[/tex]

Collect like terms

⇒[tex] \sf{2x = 50 - 18}[/tex]

Subtract 18 from 50

⇒[tex] \sf{2x = 32}[/tex]

Divide both sides of the equation by 2

⇒[tex] \sf{ \frac{2x}{2} = \frac{32}{2} }[/tex]

Calculate

⇒[tex] \sf{x = 16}[/tex]

The value of x is 16

Now, let's find value of m<AFD :

[tex] \sf{m < afd + 5x + 18 = 180}[/tex] ( sum of angle in straight line )

plug the value of x

⇒[tex] \sf{m < AFD + 5 \times 16 + 18 = 180}[/tex]

Multiply the numbers

⇒[tex] \sf{m < AFD + 80 + 18 = 180}[/tex]

Add the numbers

⇒[tex] \sf{m < AFD + 98 = 180}[/tex]

Move constant to R.H.S and change it's sign

⇒[tex] \sf{m < AFD = 180 - 98}[/tex]

Subtract 98 from 180

⇒[tex] \sf{m < AFD = 82}[/tex]

Value of m<AFD = 82

Hope I helped!

Best regards!!

Answer:

-14 F

Step-by-step explanation:

Answer:

[tex]G(x)=(x-6)^2[/tex]

which agrees with the answer D of your options

Step-by-step explanation:

Notice that the graph of G(x) has the initial graph shifted horizontally to the right in 6 units, therefore such horizontal shift is accomplished by subtracting the 6 units from the x-variable in the original expression:

[tex]G(x)=(x-6)^2[/tex]

Answer:

[tex]V = \frac{2}{3} cm^2[/tex]

Step-by-step explanation:

Given

[tex]V = 6s^2[/tex]

Required

Find the surface area when the length is [tex]\frac{1}{3}\ cm[/tex]

To do this, we simply substitute [tex]\frac{1}{3}\ cm[/tex] for s in the given formula

[tex]V = 6s^2[/tex] becomes

[tex]V = 6 * \frac{1}{3}^2[/tex]

[tex]V = 6 * \frac{1}{3} * \frac{1}{3}[/tex]

Combine Fractions

[tex]V = \frac{6 * 1 * 1}{3 * 3}[/tex]

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

Simplify Fraction

[tex]V = \frac{2}{3} cm^2[/tex]

Answer:

Step-by-step explanation:

10 miles isn't very far in 21 hours are those numbers correct?

Velocity is distance/time

10/21 =.476 mph

Answer:

[tex]-\frac{1}{28}[/tex]

Step-by-step explanation:

-1/2 ÷ 2(9+3)-4 - 3/4(8)

-0.5 ÷ 2(12)-4 - 3/4(8)

-0.5 ÷ 2(12)-4 - 6

-0.5 ÷ 24-4 - 6

-0.5 ÷ 14 = [tex]-\frac{1}{28}[/tex]

Answer:

23.4696 liters

Step-by-step explanation:

Answer:

Yes, more than half are being used.  (292 out of 546 used)

Step-by-step explanation:

The first part of this problem is to determine the total amount of seats on the plane so we can determine what half of the seats would be.

1st class has 14 seats.

Business-class has 64 seats.

And the 4 economy classes have 117 each, meaning 117 * 4 = 468

So the total amount of seats are 14 + 64 + 468 = 546

So half that amount would be 273.

Now we can determine the number of seats being used.

1st class has (6/7) * 14 = 12 seats used

Buisness-class has (7/16) * 64 = 28 seats being used

Economy has 4 * (7/13) * 117 = 4 * 63 = 252 seats being used

So the total amount of used seats would be 12 + 28 + 252 = 292.

Note that 292 is greater than 273, so there is indeed more than half the seats on the plane being used.

Cheers.

Answer:

86x

Step-by-step explanation:

I hope this helps you

let's write -3 for x

f(-3)=4.(-3)^2+7.(-3)

f(-3)=4.9-21

f(-3)=36-21

f(-3)=15

Answer:

A whole number, an integer, a rational number and a real number.

Step-by-step explanation:

It is a whole number, which makes it an integer, which makes it rational, which makes it real.

Answer:

-9

Step-by-step explanation:

y = 8

x = -3

Answer:

Your answer will be (-9)

This is how I got my answer-

2(2-y)-x

2(2-8)-(-3)

2 - 8= (-6)

2 × (-6) = (-12)

(-12) - (-3) = (-9)

Answer: If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.

Step-by-step explanation:

Given: The correlation coefficient between class attendance and number of problems missed on an exam is –0.77.

When correlation coefficient is negative it means negatively correlation.

i.e. If independent variable increases dependent variable decreases or vice-versa

Also, its absolute value is larger than 0.7 it means it indicates a strong correlation.

Independent: class attendance

Dependent: problems missed on an exam

So by correlation coefficient , correct interpretation would be:

Student with high class attendance is less likely to miss problem on an exam.

i.e. If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.

Answer:

5^4

Step-by-step explanation:

i cant really explain except a power means you time that number that many times so so 5 to the 4th power

Answer:

[tex]5^4\\[/tex]

Step-by-step explanation:

Recall that exponents are a convention used to simplify the writing of expressions that involve the multiplication of a repeated factor by using as the base of the exponent the factor that is multiplied, and for the exponent the number of times the actor appears:

[tex]a\,*\,a\,*\,a\,*\,a=a^4[/tex]

so in your case, the base (repeated factor) is 5, and the exponent (number of appearances of the factor 5 is 4:

[tex]5*5*5*5=5^4[/tex]

Answer:

I hope this helps you

Step-by-step explanation:

this is how you work out algebra

y+ k-h+x+a

Answer:

Sparkle wands:  NO

Fairy wands:  YES

Glass wands:  NO

Step-by-step explanation:

To find the price per glitter wand, you have to divide the price of the wands by the amount of wands you have.

$50/8 = $6.25

Divide the price of the wands by the amount you get.

Sparkle wands:  $20/4 = $5

Fairy wands:  $37.50/6 = $6.25

Glass wands:  $65/10 = $6.50

The sparkle wands and the glass wands do not have the same price per wand as glitter wands.

The fairy wands have the same price per wand as glitter wands.

Answer:

Glow wands = no

Fairy Wands= yes

Sparkle Wands = No

Step-by-step explanation:

Khanacademy

Trust

Answer:

Answer = 25

Step-by-step explanation:

125 = 5f

125/5 = f

25 = f

Answer:

Step-by-step explanation:

In this problem we are expected to calculate the amount Mary will save per week based on her 25% plan on her weekly earning of $700

hence we have to calculate 25% of $700 and that will be the answer to the problem

we have

weekly savings = (25/100)*700

weekly savings = 0.25*700

weekly savings= $175

Hence Mary will save $175 per week if she follows the  25% plan  of her weekly earnings

Answer:

39.75

Step-by-step explanation:

take the total cost multiply it by 1.08 then subtract that from the final cost hope it helps

Answer:

$39.75

Step-by-step explanation:

Step 1: multiply 43.20x.08=3.45

Step 2: subtract 43.20-3.45=39.75

All done!