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ella [17]
3 years ago
12

You receive $45 profit from a car wash after $300 in sales. What percent was your profit?

Mathematics
2 answers:
Strike441 [17]3 years ago
7 0
<h2>Answer:</h2>

  • 15%
<h3>Step-by-step explanation:</h3>

You receive 45\$ profit from a car wash after 300\$ in sales.

so,

percentage of profit

  • \sf{\dfrac{45}{300}×100 } 

  • \sf{\dfrac{45}{\cancel{300}}×\cancel{100 }} 

  • \bold{\dfrac{45}{3}  } 

  • \green{ 15\%  }
kirza4 [7]3 years ago
3 0

Answer:

15%

Step-by-step explanation:

Find the percent of profit by dividing 45 by 300:

45/300

= 0.15

So, the percent profit was 15%

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Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = xe^y + ye^z +
LUCKY_DIMON [66]

Answer:

D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}

Step-by-step explanation:

We need to find the directional derivative of the function at the given point in the direction of the vector v.

f(x, y, z)=xe^{y} + ye^{z} + ze^{x} ,point (0, 0, 0) and v=

 

By Theorem: If f is a differentiable function of x , y and z , then f has a directional derivative for any unit vector \overrightarrow{v} = and

D_{\overrightarrow{u}}f(x,y,z)=f_{x}(x,y,z)u_1+f_{y}(x,y,z)u_2+f_{z}(x,y,z)u_3

where \overrightarrow{u}=\frac{\overrightarrow{v}}{||v||}

since,  v=

then \overrightarrow{u}=\frac{\overrightarrow{v}}{||v||}

\overrightarrow{u}=< \frac{6}{\sqrt{6^{2}+3^{2}+(-3)^{2}}},\frac{3}{\sqrt{6^{2}+3^{2}+(-3)^{2}}},\frac{-3}{\sqrt{6^{2}+3^{2}+(-3)^{2}}} >

\overrightarrow{u}=< \frac{6}{\sqrt{54}},\frac{3}{\sqrt{54}},\frac{-3}{\sqrt{54}} >

The partial derivatives are

f_{x}(x,y,z)=e^{y}+ze^{x}  

f_{y}(x,y,z)=xe^{y}+e^{z}

f_{z}(x,y,z)=ye^{z}+e^{x}

Then the directional derivative is

D_{\vec{u}}f(x,y,z)=(e^{y}+ze^{x})(\frac{6}{\sqrt{54}})+(xe^{y}+e^{z})(\frac{3}{\sqrt{54}})+(ye^{z}+e^{x})(\frac{-3}{\sqrt{54}})

so, directional derivative at point (0,0,0)

D_{\vec{u}}f(0,0,0)=(e^{0}+0e^{0})(\frac{6}{\sqrt{54}})+(0e^{0}+e^{0})(\frac{3}{\sqrt{54}})+(0e^{0}+e^{0})(\frac{-3}{\sqrt{54}})

D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}+\frac{3}{\sqrt{54}}+\frac{-3}{\sqrt{54}}

D_{\vec{u}}f(0,0,0)=\frac{6+3-3}{\sqrt{54}}

D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}

3 0
4 years ago
Work out the value of 8^2+4^3, 5^3-7^2
liberstina [14]

Answer:

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Step-by-step explanation:

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in a week 7

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It takes 8 people to pull a 16 ton truck. How many people would it take take to pull a 60 ton truck? I got 30 people am I right?
kiruha [24]
8 people pull a 16 ton truck
we can make that a proportion
8:16 
which can be reduced to 
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that means 1 person can pull 2 tons

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cross multiply and you get

60 = 2x
x = 30

yes, you're right!
6 0
4 years ago
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