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2 years ago

Samantha bought a purse for $72.25. It normally sells for $91.89. How much money did she save?

Mathematics

2 answers:

navik [9.2K]2 years ago

6 0

Answer:

19.64$

Step-by-step explanation:

91.89-72.25

Advocard [28]2 years ago

6 0

Answer:

$19.64

Step-by-step explanation:

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Suppose A is an invertible n×n matrix and v is an eigenvector of A with associated eigenvalue 4. Convince yourself that v is an

mote1985 [20]

The eigenvector of matrix A4 is 4096.

The eigenvalue of the matrix A-1 is 1/8.

(A+4I) has an eigenvalue of 12.

40 is the eigenvalue of 5Av.

The collection of scalar values known as the eigenvalues of a matrix are connected to the set of linear equations that are most likely contained within the matrix equations.

The eigenvectors are also known as the characteristic roots.

If the matrix A's eigen vector v is linked to an eigen value.

Av then equals lamda v.

The fact that v is an eigen vector of A with the value eight is assumed.

hence, Av = 8v.

We must determine the eigenvalue of A4.

A4*v equals A3(8v) = 84*v equals 4096v.

As a result, the eigenvalue of A4 is 4096.

Suppose A has an eigenvalue of 8. The eigenvalue of A-1 is thus 1/8.

It is calculated that the eigenvalue of (A+4I) is (A +4In)v = Av + 4v = 8v + 4v =12v.

(A+4I) has an eigenvalue of 12.

The value of 5Av's eigenvalue is 5Av = 5*8v = 40v.

40 is the eigenvalue of 5Av.

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7 0

10 months ago

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

7nadin3 [17]

Answer:

Widgets should be sold by $38.88 to maximize the profit.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

$f(x) = ax^{2} + bx + c$

It's vertex is the point $(x_{v}, y_{v})$

In which

$x_{v} = -\frac{b}{2a}$

$y_{v} = -\frac{\Delta}{4a}$

Where

$\Delta = b^2-4ac$

If a<0, the vertex is a maximum point, that is, the maximum value happens at $x_{v}$ , and it's value is $y_{v}$ .

In this question:

The profit is given by:

$y = -9x^2 + 700x - 6005$

Which is a quadratic function with $a = -9, b = 700, c = -6005$

The maximum profit happens at the x of the vertex. Thus

$x_{v} = -\frac{b}{2a} = -\frac{700}{2(-9)} = 38.88$

Widgets should be sold by $38.88 to maximize the profit.

7 0

2 years ago

A sofa is on sale for $703 which is 24% less than the regular price what is the regular price

Firdavs [7]

Hello!

We could write this as an equation below.

0.76x=703

We divide both sides by 0.76.

x=925

Therefore, the regular price is $925.

I hope this helps!

5 0

3 years ago

Read 2 more answers

a certain virus infects one in every 600 people. a test used to detect the virus in a person is positive 90% of the time if the

Alona [7]

the probability that a person has the virus given that they have tested positive is 0.0151.
the probability that a person does not have the virus given that they have tested negative is 0.9999

P(A) = 1/600 = 0.0017

P(B) = 0.9 * 0.0017 + 0.1 * (1 - 0.0017) = 0.1014

A) P (has the virus | tested positive) = P (tested positive | has the virus) ×

P (has the virus)/ P (tested positive)

= 0.9 × 0.0017/0.1014

= 0.0151

B) P (does not have the virus | tested negative) = P (tested negative | does not have the virus) × P (does not have the virus)/ P (tested negative)

= (1 - 0.1) *× (1 - 0.0017)/ (1 - 0.1014)

= 0.9999

Probability is the department of mathematics regarding numerical descriptions of ways likely an occasion is to occur, or how possibly it's far that a proposition is genuine. The possibility of an occasion varies between zero and 1, wherein, roughly speaking, 0 suggests the impossibility of the occasion and 1 shows certainty. The better the possibility of an event, the more likely it is that the event will arise.

A simple instance is the tossing of an honest (unbiased) coin. since the coin is truthful, the 2 results ("heads" and "tails") are both equally likely; the possibility of "heads" equals the chance of "tails"; and considering the fact that no different results are feasible, the possibility of both "heads" or "tails" is 1/2 (that could additionally be written as 0.5 or 50%).

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1 year ago

If 300 gallons of water fill a swimming pool in 20 minutes, how many gallons fill the swimming pool in 25 minutes?

lapo4ka [179]

Answer:

375 gallons in 25 minutes

Step-by-step explanation:

first decide how many gallons in one minute

300/20 = 15 gallons in one minute

next multiply 15 x 25 minutes. You get 375 gallons in 25 minutes

8 0

3 years ago