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2 years ago

A store advertises 15% off an ítem that regularly sells for $300. What is the sale price of the item?

Mathematics

1 answer:

fomenos2 years ago

8 0

Answer:

$255

Step-by-step explanation:

To find amount that is subtracted off of the original price, you would need to multiply 300 by 15% as a decimal

The decimal form of 15% is 0.15, meaning that you would have to multiply 300 and 0.15

Once you do this, you will get 45

To find the sale price, you need to subtract the amount that is discounted, 45, from 300

Once you do this, you will get 255

This means that the sale price of the item is $255

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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

noname [10]

$L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)$

$L_x=10+10\lambda x=0\implies1+\lambda x=0$

$L_y=10+10\lambda y=0\implies1+\lambda y=0$

$L_z=2+4\lambda z=0\implies1+2\lambda z=0$

$L_\lambda=5x^2+5y^2+2z^2-42=0$

$\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z$

$5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1$

$z^2=1\implies z=\pm1\implies x=y=\pm2$

There are two critical points, at which we have

$f\left(2,2,1\right)=42\text{ (a maximum value)}$

$f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}$

3 0

3 years ago

Identify the number that does not belong with the other three. explain your reasoning. -10/2 -13.4 sqrt 18 22.7

Oxana [17]

22.7
is the anwser
because irrational is repeating

7 0

2 years ago

You have a credit card that has a balance of $7590 at an APR of 21.99 % . You plan to pay $400 each month in an effort to clear

cricket20 [7]

Answer:

Step-by-step explanation:

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2 years ago

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Natalka [10]

Answer:

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6. 9

Step-by-step explanation:

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2 years ago

Isotope mass (amu) abundance (%) 1 203.97304 1.390 2 205.97447 24.11 3 206.97590 22.09 4 207.97665 52.41 find the atomic mass of

Nata [24]

Answer:
average atomic mass = 207.2172085 amu

Explanation:
To get the average atomic mass of an element using the abundance of its isotopes, all you have to do is multiply each isotope by its percentage of abundance and then sum up all the products.

For the question, we have:
203.97304 amu has an abundance of <span>1.390% (0.0139)
</span>205.97447 amu has an abundance of 24.11% (0.2411)
206.97590 amu has an abundance of 22.09% (0.2209)
207.97665 amu has an abundance of 52.41 % (0.5241)

The average atomic mass can be calculated as follows:
average atomic mass = 203.97304(0.0139) + 205.97447(0.2411)
+ 206.97590(0.2209) + 207.97665(0.5241)
average atomic mass = 207.2172085 amu

Hope this helps :)

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3 years ago