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Vera_Pavlovna [14]
3 years ago
8

Derek brought a game console for 96.00 he marks the price up 10 %before he resells it for a profit. at what price did Derek rese

ll the game console? Help me pleaseee
Mathematics
1 answer:
ra1l [238]3 years ago
7 0
So ten percent of 96 dollars, is 9.60 Next, you add 96 dollars plus 9.60, which gives you 105.60!
So Derek resold his game console for $105.60!

Hope this helps!
♤MidnightQueen
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Aleks04 [339]

Answer: 503.8

Step-by-step explanation: 503.782 is the original fraction. To round up the number has to be 5, 6, 7, 8, or 9. The number in the hundredths place is 8. so that means the number in the tenths place can be moved up to 8 since 7+1=8.

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A test is worth 100 points. The test is made up of 40 items. Each item is worth either 2 points or 3 points. Which matrix equati
lidiya [134]

Answer:

Total number of points in the test = 100

Total number of items in the test = 40

Let number of items of 2 points be x and number of items of 3 points be y.

Now, using the given information the situation can be represented by using the following equations :

⇒ x + y = 40 .........(1)

⇒ 2x + 3y = 100 .........(2)

The matrix equation is :

\begin{bmatrix}1 & 1\\ 2& 3\end{bmatrix}\cdot \begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}40\\ 100\end{bmatrix}

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4 0
4 years ago
Read 2 more answers
1. Let f(x, y) be a differentiable function in the variables x and y. Let r and θ the polar coordinates,and set g(r, θ) = f(r co
Olenka [21]

Answer:

g_{r}(\sqrt{2},\frac{\pi}{4})=\frac{\sqrt{2}}{2}\\

Step-by-step explanation:

First, notice that:

g(\sqrt{2},\frac{\pi}{4})=f(\sqrt{2}cos(\frac{\pi}{4}),\sqrt{2}sin(\frac{\pi}{4}))\\

g(\sqrt{2},\frac{\pi}{4})=f(\sqrt{2}(\frac{1}{\sqrt{2}}),\sqrt{2}(\frac{1}{\sqrt{2}}))\\

g(\sqrt{2},\frac{\pi}{4})=f(1,1)\\

We proceed to use the chain rule to find g_{r}(\sqrt{2},\frac{\pi}{4}) using the fact that X(r,\theta)=rcos(\theta)\ and\ Y(r,\theta)=rsin(\theta) to find their derivatives:

g_{r}(r,\theta)=f_{r}(rcos(\theta),rsin(\theta))=f_{x}( rcos(\theta),rsin(\theta))\frac{\delta x}{\delta r}(r,\theta)+f_{y}(rcos(\theta),rsin(\theta))\frac{\delta y}{\delta r}(r,\theta)\\

Because we know X(r,\theta)=rcos(\theta)\ and\ Y(r,\theta)=rsin(\theta) then:

\frac{\delta x}{\delta r}=cos(\theta)\ and\ \frac{\delta y}{\delta r}=sin(\theta)

We substitute in what we had:

g_{r}(r,\theta)=f_{x}( rcos(\theta),rsin(\theta))cos(\theta)+f_{y}(rcos(\theta),rsin(\theta))sin(\theta)

Now we put in the values r=\sqrt{2}\ and\ \theta=\frac{\pi}{4} in the formula:

g_{r}(\sqrt{2},\frac{\pi}{4})=f_{r}(1,1)=f_{x}(1,1)cos(\frac{\pi}{4})+f_{y}(1,1)sin(\frac{\pi}{4})

Because of what we supposed:

g_{r}(\sqrt{2},\frac{\pi}{4})=f_{r}(1,1)=-2cos(\frac{\pi}{4})+3sin(\frac{\pi}{4})

And we operate to discover that:

g_{r}(\sqrt{2},\frac{\pi}{4})=-2\frac{\sqrt{2}}{2}+3\frac{\sqrt{2}}{2}

g_{r}(\sqrt{2},\frac{\pi}{4})=\frac{\sqrt{2}}{2}

and this will be our answer

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Answer:

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Step-by-step explanation:

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Answer:

b

Step-by-step explanation:

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