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rosijanka [135]
2 years ago
13

A. Original Price: $16.20

Mathematics
1 answer:
Tom [10]2 years ago
4 0

Answer:

The final price is $ 22.68  And Proportional constant is 1.4  

Step-by-step explanation:

Given as :

The Original price = $ 16.20

The rate of increase = 40%

Let The final price = x

Now,

Final price after increase = initial price × ( 1 + \frac{\textrm Rate}{100}

Or. Final price after increase = $ 16.20 × ( 1 + \frac{\textrm 40}{100}

Or, Final price after increase = $ 16.20 × ( 1.4 )

∴ Final price after increase = $ 22.68

Now , Proportional constant = \frac{22.68}{16.20}

I.e Proportional constant = 1.4

Hence The final price is $ 22.68  And Proportional constant is 1.4  Answer

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73. If 65% of x is 130, what is the value of x?<br>A. 84.5<br>B. 130<br>C. 165<br>D. 200<br>E. 260​
MrRissso [65]

Answer:

D) 200

Step-by-step explanation:

To find what x equals you have to use the expression:

is over of equals percent over 100

In this problem you are given the percent, 65%, and the is, 130.

So we are trying to find the of so you would substitute of with x.

So 130/x = 65/100

Now you would do Cross Product Property to find x.

So 130*100 = 13000

65*x = 65x

65x = 13000

65/65 = 1

13000/65 = 200

x = 200

So 65% of 200 is 130

6 0
3 years ago
Solve the inequality c – 5 ≥ 0.5 and graph the solutions.
sammy [17]
The answer is c ≥ 5.5
3 0
2 years ago
Read 2 more answers
Find the slope and y-intercept of the line x+3y=3...
katovenus [111]
So first put this in slope intercept form, y=mx+b. subtract x from both sides so now you have 3y=-x+3 and to get y by itself divide both sides by 3 so now you have y=(-x/3) +1 or y=-1/3(x)+1 the slope is m and the y-intercept is b so the slope is -1/3 and the y-intercept is 1
4 0
3 years ago
What is the value of the expression 12(m−23n) when m=32 and n=12 ?
Verizon [17]

are those the options? something is wrong here and I'm not sure what. I'm sorry if this is wrong, I tried my best

Answer:

-2,928

Step-by-step explanation:

12 ( 32 - [ 23 • 12 ] )

order of operations PEMDAS ( parenthesis, exponents, multiplication/division, addition/subtraction )

23 • 12 = 276

12 ( 32 - 276 )

12 ( -244 )

-2,928

5 0
2 years ago
Use the Chain Rule to find the indicated partial derivatives. z = x^4 + xy^3, x = uv^4 + w^3, y = u + ve^w Find : ∂z/∂u , ∂z/∂v
k0ka [10]

I'll use subscript notation for brevity, i.e. \frac{\partial f}{\partial x}=f_x.

By the chain rule,

z_u=z_xx_u+z_yy_u

z_v=z_xx_v+z_yy_v

z_w=z_xx_w+z_yy_w

We have

z=x^4+xy^3\implies\begin{cases}z_x=4x^3+y^3\\z_y=3xy^2\end{cases}

and

\begin{cases}x=uv^4+w^3\\y=u+ve^w\end{cases}\implies\begin{cases}x_u=v^4\\x_v=4uv^3\\x_w=3w^2\\y_u=1\\y_v=e^w\\y_w=ve^w\end{cases}

When u=1,v=1,w=0, we have

\begin{cases}x(1,1,0)=1\\y(1,1,0)=2\end{cases}\implies\begin{cases}z_x(1,2)=12\\z_y(1,2)=12\end{cases}

and the partial derivatives take on values of

\begin{cases}x_u(1,1,0)=1\\x_v(1,1,0)=4\\x_w(1,1,0)=0\\y_u(1,1,0)=1\\y_v(1,1,0)=1\\y_w(1,1,0)=1\end{cases}

So we end up with

\boxed{\begin{cases}z_u(1,1,0)=24\\z_v(1,1,0)=60\\z_w(1,1,0)=12\end{cases}}

3 0
3 years ago
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