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Romashka [77]
4 years ago
14

Joshua Vernier received a raise after his first year on the job to $43,800 from his initial salary of $42,000 . What was his rai

se stated as a percentage ?
Mathematics
1 answer:
Vika [28.1K]4 years ago
8 0
The answer should be: 4.2857%
43,800-42000=1800.
1800 is 4.2857% of 42000
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fredd [130]

\dfrac{\partial\left(2xy^4+\frac1{x+y^2}\right)}{\partial y}=8xy^3-\dfrac{2y}{(x+y^2)^2}

\dfrac{\partial\left(4x^2y^3+\frac{2y}{x+y^2}\right)}{\partial x}=8xy^3-\dfrac{2y}{(x+y^2)^2}

so the ODE is indeed exact and there is a solution of the form F(x,y)=C. We have

\dfrac{\partial F}{\partial x}=2xy^4+\dfrac1{x+y^2}\implies F(x,y)=x^2y^4+\ln(x+y^2)+f(y)

\dfrac{\partial F}{\partial y}=4x^2y^3+\dfrac{2y}{x+y^2}=4x^2y^3+\dfrac{2y}{x+y^2}+f'(y)

f'(y)=0\implies f(y)=C

\implies F(x,y)=x^2y^3+\ln(x+y^2)=C

With y(1)=2, we have

8+\ln9=C

so

\boxed{x^2y^3+\ln(x+y^2)=8+\ln9}

8 0
3 years ago
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Answer:

The answer is 22%.

Step-by-step explanation:

All you need to do to figure this out is to divide 36 by 8.

8/36=.222222

Hope this helps!

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sleet_krkn [62]
I gotchu fam, a rotation is occurring and we know this because it’s rotating 180°. Figures PQRS and P’Q’R’S’ are congruent because they are the same shape and size, just in different places.
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Answer:

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Step-by-step explanation:

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Real life example of plane in geometry
Molodets [167]

Answer: piece of paper or a door

Step-by-step explanation:

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