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3 years ago

6

An item with an original price p dollars is on sale at 30% discount. Which expression is not equivalent to the price of the item

with the discount?

1 answer:

exis [7]3 years ago

4 0

Answer:

p+_(n) + 70%

Step-by-step explanation:

finished

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This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

olga nikolaevna [1]

$f(x_1,\ldots,x_n)=x_1+\cdots+x_n=\displaystyle\sum_{i=1}^nx_i$

${x_1}^2+\cdots+{x_n}^2=\displaystyle\sum_{i=1}^n{x_i}^2=4$

The Lagrangian is

$L(x_1,\ldots,x_n,\lambda)=\displaystyle\sum_{i=1}^nx_i+\lambda\left(\sum_{i=1}^n{x_i}^2-4\right)$

with partial derivatives (all set equal to 0)

$L_{x_i}=1+2\lambda x_i=0\implies x_i=-\dfrac1{2\lambda}$

for $1\le i\le n$ , and

$L_\lambda=\displaystyle\sum_{i=1}^n{x_i}^2-4=0$

Substituting each $x_i$ into the second sum gives

$\displaystyle\sum_{i=1}^n\left(-\frac1{2\lambda}\right)^2=4\implies\dfrac n{4\lambda^2}=4\implies\lambda=\pm\frac{\sqrt n}4$

Then we get two critical points,

$x_i=-\dfrac1{2\frac{\sqrt n}4}=-\dfrac2{\sqrt n}$

or

$x_i=-\dfrac1{2\left(-\frac{\sqrt n}4\right)}=\dfrac2{\sqrt n}$

At these points we get a value of $f(x_1,\cdots,x_n)=\pm2\sqrt n$ , i.e. a maximum value of $2\sqrt n$ and a minimum value of $-2\sqrt n$ .

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3 years ago

Nancy and her sister went to the store together. After the store, Nancy walked 2 blocks west to get a coffee and her sister walk

Dima020 [189]

Answer:

5 blocks

Step-by-step explanation:

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3 years ago

The Board of Directors of PFE declares to pay a dividend of $0.39 on

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Step-by-step explanation:

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3 years ago

A pizza is advertised as containing 250 square inches of a pizza. To the nearest inch , what is the diameter of the pizza?

Setler [38]

Answer:

49087.385212340516

Step-by-step explanation:

It may or may not be the correct answer. I'm only trying to help.

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3 years ago

Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable

Annette [7]

Answer:

A=discrete; B=continuous

Step-by-step explanation:

(a) The number of free dash throw attempts before the first shot is = discrete

(b) The time it takes for a light bulb to burn out.=continuous

Discrete variables are countable in a finite amount of time such as the case of free dash throw attempts

Continuous Variables are more difficult to count. In statistics, time is a Continuous Variable

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3 years ago