please help me. thank you so much

Answer:

8500

Step-by-step explanation:

depreciation=10000×15%=1500

initial cost = 10000

final cost = initial cost- depreciation

=10000-1500

=8500

Step-by-step explanation:

Given: [tex]x^5w + w^7 + wz^2 + 8yz = 0[/tex]

Taking the partial derivative of the above equation with respect to z, we get

[tex]x^5\dfrac{\partial{w}}{\partial{z}} + 7w^6\dfrac{\partial{w}}{\partial{z}} + z^2\dfrac{\partial{w}}{\partial{z}} + 2z + 8y =0[/tex]

Collecting all terms containing [tex]\frac{\partial{w}}{\partial{z}},[/tex] we get

[tex](x^5 + 7w^6 + z^2)\dfrac{\partial{w}}{\partial{z}} = -2(z + 4y)[/tex]

Then

[tex]\dfrac{\partial{w}}{\partial{z}} = \dfrac{-2(z + 4y)}{x^5 + 7w^6 + z^2}[/tex]

The derivative using implicit differentiation can be calculated and after rearranging the terms.

Implicit differentiation is the technique in which the derivative of y with respect to x using implicit differentiation without having to solve the supplied equation for y.

We have:

[tex]\rm x^5w+w^7+wz^2+8yz=0[/tex]

We have to find the:

= ∂w/ ∂z

[tex]\rm \dfrac{\partial }{\partial z}[\rm x^5w+w^7+wz^2+8yz=0][/tex]

[tex]\rm x^5\dfrac{\partial w}{\partial z} +7w^6\dfrac{\partial w}{\partial z}+z^2\dfrac{\partial w}{\partial z}+2z+8y=0[/tex]

After rearranging the terms:

[tex]\rm (x^5 +7w^6+z^2)\dfrac{\partial w}{\partial z}= -2(z+4y)[/tex]

[tex]\rm \dfrac{\partial w}{\partial z}= \dfrac{-2(z+4y)}{x^5 +7w^6+z^2}[/tex]

Thus, the derivative using implicit differentiation can be calculated and after rearranging the terms.

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Answer:

[tex]A = \frac{1}{2} \pi r [/tex]

multiply all sides by 2:

[tex]2 \times A = ( \frac{1}{2} \pi r) \times 2 \\ \\ 2A = \pi r[/tex]

divide all sides by r:

[tex] \frac{2A}{r} = \frac{\pi r}{r} \\ \\ \frac{2A}{r} = \pi[/tex]

therefore:

[tex]{ \boxed{ \sf{\pi = \frac{2A}{r} }}}[/tex]

Answer:

n = 27

Step-by-step explanation:

(2n + 9) / 9 = 9

multiply both sides by 9

3n = 81

/3      /3

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

n = 27

Answer:

n = 27

Step-by-step explanation:

(2n + n)÷9 = 9

multiply both side by 9

(2n + n) = 81

3n = 81

Divide both sides by 3

3n/3 = 81/3

n = 27

Turn 9 into [tex]\frac{81}{9}[/tex]. Then, convert 4 [tex]\frac{4}{9}[/tex] into a improper faction ( [tex]\frac{40}{9}[/tex] ). Then, subtract

[tex]\frac{81}{9} - \frac{40}{9} = \frac{41}{9}[/tex]. Lastly, convert  [tex]\frac{41}{9}[/tex] to a mixed fraction ( [tex]4\frac{4}{9}[/tex] ).

Your answer is [tex]4\frac{4}{9}[/tex].

Answer:

no solutions

Step-by-step explanation:

[tex]4x + y = 24 - - - (a) \\ y = - 4x + 24 - - - (b)[/tex]

substitute for y in (a) with (b):

[tex]4x + ( - 4x + 24) = 24 \\ 0x = 0[/tex]

Answer:

infinite solutions

Step-by-step explanation:

substitute y in the first equation

4x+(-4x+24)=24

4x and -4x cancel out

24/24=1

or solve for x, you should also get 1

Answer:

[tex]20x\sqrt{x}[/tex]

Step-by-step explanation:

[tex]\sqrt{20x^{2} }[/tex] × [tex]\sqrt{20x}[/tex]

= [tex]\sqrt{20x^{2} * 20x }[/tex]  | * = ×

=[tex]\sqrt{400x^{3} }[/tex]

=[tex]20x\sqrt{x}[/tex]

Hey, there! Based on the table from the picture, every hour increased is $6 increased for the cost of the rental.

First hour: $10

Second hour: $16

Third hour: $22

Fourth hour: $28

So, final answer is:

+1 hour=+$6.

Anyways, I hope this helps! Enjoy your day! Take care!

Answer:

3 people

Step-by-step explanation:

Let "x" represent the number of people who payed with cash

Let "y" represent the number of people who payed with credit card

14x +15y = 177 ---------1

3x =y--------- 2

solving simultaneously,

put eqn 2 into eqn 1

14x + 15 (3x) = 177

14x + 45x = 177

59x = 177

x=3

From eqn 2 , y = 3 x

y = 3 (3)

y=9

therefore the number of people who paid with cash were 3.

9514 1404 393

Answer:

  $3281.79

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where A is the balance resulting from investment of P at annual rate r compounded n times per year for t years.

We have P=$3000, r=0.06, n=12, t=1.5, so the account balance is ...

  A = $3000(1 +0.06/12)^(12·1.5) = $3000(1.005^18) ≈ $3281.79

There will be $3281.79 in the account after 18 months.

Answer:

1764

Step-by-step explanation:

Y=6b+12ab^2

Let a = 4

b = 6

Y = 6(6) +12 (4)(6)^2

   = 36 + 12 (4) (36)

   = 36+1728

   =1764

Answer:

[tex]\huge\boxed{\sf Y = 1764}[/tex]

Step-by-step explanation:

[tex]Y = 6b+12ab^2\\\\Given \ that \ a = 4 , \ b = 6\\\\Putting \ values\ in \ given \ equation\\\\Y = 6(6) +12(4)(6)^2\\\\Y = 36 + 48(36)\\\\Y = 36 + 1728\\\\Y = 1764\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

x1 = -8, x2= 2

Step-by-step explanation:

1. Write 6x as a difference

= x^2 + 8x - 2x - 16 = 0

2. Factor the expressions

= x ( x + 8 ) - 2x - 16 = 0

= x ( x + 8 ) - 2 ( x + 8 ) = 0

Factor out x + 8 from the expression

= ( x + 8 ) ( x - 2 ) = 0

3. When the product of factors = 0, at least one factor is 0

x + 8 = 0

x - 2 = 0

4. Solve the equation for x

x = - 8

x = 2

Therefore, the equation has 2 solutions :

x1 = -8, x2 = 2

the answer

Answer: 109.27

Explanation:

N=3 I=3% pv=100 pmt =0 cpt fv

$109.27

if you do not add anything to the $100 and strictly rely on interest.

Answer:

h = 3 sqrt(21)

or

h = 13.75

Step-by-step explanation:

The perimeter of the rhombus is 60 feet. Like a square, all the sides of a rhombus are equal. Therefore your first step is to find FK which is a side.

FK = 60/4 = 15 feet.

Now you can use the Pythagorean Theorem.

a^2 + b^2 = c^2

a = 6

b = height or = h

c = 15

6^2 + b^2 = 15^2

36 + b^2 = 225

b^2 = 225 - 36

b^2 = 189

sqrt(b^2)= sqrt(189)

b = sqrt(3 * 3 * 3 * 7)  You can take out the square of 3 * 3 and make it 3.

b = 3 * sqrt(3*7)

b = 3 * sqrt(21)

Answer:

D. (x+2)(-8x+70)​

Step-by-step explanation:

-8x^2+54x+140

Factor out -2

-2(4x^2+27x+70)

Factor

-2(x+2)(4x-35)

Option D is the same answer if we multiply -2 in the second term

(x+2) (-8x+70)

Answer:

47

Step-by-step explanation:

x is one of the three angles of a triangle. The other two are given as 95 and 38.

Together all three have to make 180 degrees.

x + 95 + 38 = 180

x + 133 = 180

x = 180 - 133

x = 47

Answer:

47

Step-by-step explanation:

as we know that sum of a triangle is always=180°

so x+38°+95°=180

so x+133=180

and x=180-133

so x= 47

Answer: a=6 and b=2

Step-by-step explanation:

Let say A and b the 2 numbers.

[tex]\dfrac{a}{b} =\dfrac{3}{1} \Longrightarrow\ a=3b\\\\\dfrac{a^2+b^2}{a-b} =\dfrac{10}{1} \Longrightarrow\ (3b)^2+b^2=10*(3b-b)\\\\\Longrightarrow\ 10*b^2=10*2b\\\\\Longrightarrow\ b=2\\\\\Longrightarrow\ a=6\\\\[/tex]

Answer:

D

Step-by-step explanation:

I think its D because you multiple the number that is out of the the bracket with the numerators..

so its

a^4/b^12

Answer:

x < -√3/2, x > √3/2, or -√1/2 < x < √1/2

Step-by-step explanation:

|1 - x^2| > 1/2

~Apply absolute value rule

​1 - x^2 < -1/2 or 1 - x^2 > 1/2

~Simplify

x < -√3/2, x > √3/2, or -√1/2 < x < √1/2

Best of Luck!

Answer:

They can all be simplified to 2/3

Answer: D

Step-by-step explanation:

m = - 7/4

Point (4, -2)

y - - 2= -7/4(x-4)

y + 2 = - 7/4x + 7

y = - 7/4x +7-2

y = - 7/4 x + 5

The equation of the line that is parallel to the given line is option (D) [tex]y=-\frac{7}{4}x+5[/tex] is the correct answer.

The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.

For the given situation,

The line is [tex]y=-\frac{7}{4} x-2[/tex] ------ (1)

The general equation of line in slope intercept form is

[tex]y = mx + c[/tex] ------ (2)

On comparing the equation 1 and 2, we get the slope as

⇒ [tex]m=-\frac{7}{4}[/tex] and

When two lines are parallel, then the slope of the parallel line is equal to the slope of the given line.

So, the slope of the parallel line is [tex]m = -\frac{7}{4}[/tex]

Thus the equation of the parallel line passing through the point (x1,y1) is (4,-2) as,

⇒ [tex]y-y1=m(x-x1)[/tex]

⇒ [tex]y-(-2)=-\frac{7}{4} (x-4)[/tex]

⇒ [tex]y+2=-\frac{7}{4} (x-4)[/tex]

⇒ [tex]y=-\frac{7}{4}x+\frac{7}{4} (4)-2[/tex]

⇒ [tex]y=-\frac{7}{4}x+7-2[/tex]

⇒ [tex]y=-\frac{7}{4}x+5[/tex]

Hence we can conclude that the equation of the line that is parallel to the given line is option (D) [tex]y=-\frac{7}{4}x+5[/tex] is the correct answer.

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Answer:

y= 2× +4

Step-by-step explanation:

Slope intercept form y = mx +b

4x -2y = -8

-2y = -4x-8

y = 2x +4

slope = 2x

y intercept = 4

Answer:

3.   15

6.   4

Step-by-step explanation:

Put  3 instead of x

3.    5x

     = 5 × 3

    = 15

6.   12 ÷ x

     = 12 ÷ 3

     = 4

Answer:

When X is 3 it will be

5(3)=15

Then for the second one it will be 12/3

The answer is 4

Hope I helped

Answer:

-2 and 6

Step-by-step explanation:

[tex] - 4 + 8 - 2[/tex]

[tex] - 6 + 8[/tex]

[tex] = - 2[/tex]

○●○●○●○●○●○●○●○●○●○●○●○●○●○

[tex]8 - ( - 3) - 5[/tex]

[tex]8 + 3 - 5[/tex]

[tex] = 6[/tex]

Hi! I'm happy to help!

To first of all write this expression, we need to know what sum means. Sum means addition, so we are adding. From there, we write it like this:

[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]

This is how you write it.

If you want to solve it, you need to know what pi is. pi is 3.14159...

It goes on forever, but we cane round to the nearest ten thousandth.

From here, you need to turn [tex]\frac{7}{4}[/tex] into a decimal. 4/4 is equal to 1, and 3/4 is equal to 0.75. Together, equal 1.75, or 7/4

Now, we solve our equation:

[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]

[tex]\frac{7}{4}[/tex]+3.14159

1.75+3.14159

4.89159

This is what the answer to the expression is.

I hope this was helpful, keep learning! :D

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Answer:

The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh,

Answer:

r = 5

Step-by-step explanation:

the sine rules formula :

sin Q/q = sin R/r

=> r = q× sin R / sin Q

= 6× ⅓ / (2/5)

= 2 /(2/5)

= 2× 5/2

= 5

The measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5

According to the rule, the ratio of the sides to the opposite angles is a constant. Mathematically:

p/sinP = q/sinQ = r/sinR

Given the following parameters

sinQ=2/5, sinR=1/3, and q=6.

6/(2/5) = r/(1/3)
30/2 = 3r
15 = 3r
r = 5

Hence the measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5

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Answer:

1) y=-11x-50    2)y=-8x+16

Step-by-step explanation:

1.  y=mx+b- it is the main equation for a line'

If we take the first point and use its coordinates we have -6=-4m+b

If we take the second point and use its coordinates we have 5=5m+b

These equations are simultaneous for our line because the line passes through both points

-6=-4m+b

5=-5m+b

If subtract the second one from the first equation

-6-5= -4m+b- (-5m+b)

-11= m

b= -6-44=-50

y=-11x-50

2) y=mx+b

-8=-8*3+b

b=16

y=-8x+16