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3 years ago

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Jim Abbott purchased a $58,000 recreational vehicle (RV) with a 45 percent markup on selling price. a. What was the amount of th

e dealer’s markup? Markup amount $ b. What was the dealer’s original cost? Original cost $

1 answer:

BARSIC [14]3 years ago

6 0

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A group of forest rangers work 5 days per week. It takes them 3 days to plant trees on 1/3 acre. What is the unit rate in acres

Talja [164]

I would say 5/9 acres a week

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3 years ago

How are mountains and plateaus alike?

IgorLugansk [536]

Answer:

It is similar to a mountain in that it is dramatically higher than what is immediately around it. But mountains usually have a distinct apex or peak that is very small relative to the base and not typically level. Plateaus and mesas have tops only a little smaller than the base, and relatively flat. If the aspect ratio is less than 1, plateau. If greater than 1, mesa.

Step-by-step explanation:

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3 years ago

The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of th

Aliun [14]

Answer:

a) -4

b) 1

c) 1

Step-by-step explanation:

a) The matrix A is given by:

$A=\left[\begin{array}{ccc}-3&0&1\\2&-4&2\\-3&-2&1\end{array}\right]$

to find the eigenvalues of the matrix you use the following:

$det(A-\lambda I)=0$

where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:

$A-\lambda I=\left[\begin{array}{ccc}-3-\lambda&0&1\\2&-4-\lambda&2\\-3&-2&1-\lambda\end{array}\right]$

and by taking the determinant:

$[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-\lambda)+(2)(-2)(-3-\lambda)]=0\\\\-\lambda^3-6\lambda^2-12\lambda-16=0$

and the roots of this polynomial is:

$\lambda_1=-4\\\\\lambda_2=-1+i\sqrt{3}\\\\\lambda_3=-1-i\sqrt{3}$

hence, the real eigenvalue of the matrix A is -4.

b) The multiplicity of the eigenvalue is 1.

c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)

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3 years ago

Cuántos encuentros son necesarios para una entrevista completa

Mazyrski [523]

4 encuentros,creo Ó 2 encuentros.Pero yo creo que 4

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2 years ago

Find the missing side length

lidiya [134]

Answer:

The length of the missing side is

$4 \sqrt{5} \\ if \: you \: want \: it \: not \: simplified \: it \: would \: be \: \\ \sqrt{80}$

Step-by-step explanation:

You could do Pythagorean theorem which is:

${a}^{2} + {b}^{2} = {c}^{2} \\ {8}^{2} + {4}^{2} = {c}^{2} \\{64} + {16} = {c}^{2} \\ \sqrt{80} = {c}^{2} \\ 4\sqrt{5} = c$

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2 years ago