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Airida [17]
1 year ago
6

2. Victor Larson had fixed costs totaling $2,805.60 last year, not

Mathematics
1 answer:
Mashutka [201]1 year ago
5 0

The depreciation of the car is $12,600.

The cost of the car per mile is $0.28

<h3>What is the depreciation of the car?</h3>

Depreciation is the decline in the value of an asset as a result of wear and tear.

Depreciation = cost of the asset - value of the asset now

$24,890 - $12,290 = $12600

<h3>What is the cost per mile?</h3>

Cost per mile = total cost / total mile

($2,805.60  + $1,870.40) / 16700 = $0.28

To learn more about depreciation, please check: brainly.com/question/25552427

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Find the local maximum and minimum values and saddle point(s) of the function.
iogann1982 [59]
f(x,y)=9e^y(y^2-x^2)
\nabla f=\left\langle-18xe^y,9ye^y(2+y)\right\rangle

Critical points occur where the gradient is zero. This is guaranteed whenever x=0 and either y=0 or y=-2.

The Hessian matrix for this function looks like

H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}-18e^y&-18xe^y\\-18xe^y&9e^y(2-x^2+4y+y^2)\end{bmatrix}

and has determinant

|H(x,y)|=-162e^{2y}(2+x^2+4y+y^2)

Maxima occur whenever the determinant is positive and f_{xx}. Minima occur whenever both the determinant and f_{xx} are positive. Saddle points occur whenever the determinant is negative.

At (0,0), you have a saddle point since the determinant reduces to -324, so (0,0,0) is the saddle point.

At (0,-2), the determinant is \dfrac{324}{e^4}>0 and f_{xx}(0,-2)=-\dfrac{18}{e^2}, so \left(0,-2,\dfrac{36}{e^2}\right) is a local maximum.

No other critical points remain, so you're done.
4 0
2 years ago
In the parallelogram drawn for the parallelogram method, what does the diagonal between the two terminal points of the vectors r
DIA [1.3K]
<span>The difference of the vectors; sample: the other diagonal would be the sum of one of the vectors and the opposite of the other vector, so it would be the difference.

</span>
7 0
2 years ago
How many triangles can be constructed with three angles, each measuring 66°?
Flura [38]
None 3 * 66 = 198
ALL triangles have a total degree measure of 180 degrees
7 0
2 years ago
Read 2 more answers
Help will mark brainlest
3241004551 [841]

Answer:

83

Step-by-step explanation:

82+87+83+77+70+80+88= 567

Then you divide that answer by the number of numbers you added by which is 7.

567/7= 81 so 83 was the missing number

6 0
3 years ago
Add 212+(−13) . Write your answer as a mixed number in simplest form.
nordsb [41]

The value of the given expression after addition is 199 and this can not written as a mixed number in the simplest form.

According to the question,

We have the following expression:

212+(-13)

Now, we know that the multiplication of one negative and one positive integers is always positive.

So, we have the following expression:

212-13

199

Now, this number is whole number and it can not be written as a mixed number. It could only have been written as a mixed number when the result would have been in a fraction.

Hence, the value of the given expression after addition is 199 and this can not written as a mixed number in the simplest form.

To know more about addition here

brainly.com/question/19867930

#SPJ1

7 0
7 months ago
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