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Nezavi
2 days ago
10

A department store sells logo shirts at an original price of $20. Every month that a shirt doesn’t sell, the store reduces the s

elling price by 25%. The store employees get a 50% markdown off the current price. Macy works at the store and sees the shirts going into the second markdown month. She decides that since 25% + 25% + 50% = 100%, the shirts must be free to employees. What is Macy’s error?
Mathematics
2 answers:
Inessa [3.9K]2 days ago
3 0

Answer: Macy's pre-tax shirt price is $5.63

Step-by-step explanation:

Details:

Original cost = 20

sale price drops by 25% every month it remains unsold.


First markdown month:

20 * (100%-25%) = 20 * 75% = 15


Second markdown month:

15 * 75% = 11.25


Macy, being an employee, enjoys a 50% discount on the current price.

11.25 * 50% = 5.625

11.25 - 5.625 = 5.625 or rounded to 5.63

Hope this helps!:)

Zina [3.9K]2 days ago
3 0

Answer:

teacher's feedback

Step-by-step explanation:

Macy made an error by calculating employee discounts from the original price each time instead of using the adjusted selling price for that particular month. She must apply each discount individually rather than simply summing them.

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Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the unit sphere.
Inessa [3926]

Answer:

Wyjaśnienie krok po kroku:

Załóżmy, że prostokąt ma wierzchołki (x,y,z) w dodatnim oktancie.  Prostokątny pudełko musi być symetryczne względem wszystkich trzech osi.

Wtedy jego boki to

2x,2y,2z

Objętość = 8xyz

Maksymalizuj objętość przy założeniu

x^2+y^2+z^2 =1

tj. g(x,y,z) = x^2+y^2+z^2 -1=0

Użyj mnożników Lagrange'a, mamy

∇f(x,y,z)=λ∇g(x,y,z)przy maksimum

∇f(x,y,z)=λ∇g(x,y,z) =(8yz,8xz,8xy)\\∇g(x,y,z)=(2x,2y,2z)

8yz=2λx8xz=2λy8xy=2λz

Dzieląc otrzymujemy

\frac{y}{x} =\frac{x}{y} \\x^2=y^2

Podobnie y^2=z^2

Zatem otrzymujemy 3x^2 =1\\x = \frac{1}{\sqrt{3} }

Stąd wymiary to

(2x,2y,2z)

<pzatem wymiary="" to="">

\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} } )

</pzatem>
3 0
1 day ago
There is an integer n such that 2n2 − 5n + 2 is prime. To prove the statement it suffices to find a value of n such that (n, 2n2
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Response:

n = 0 or 3

Detailed explanation:

2n² - 5n + 2

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(n - 2)(2n - 1)

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Setting n-2 = 1 gives n = 3

Setting 2n-1 = 1 gives n = 0

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Respuesta: 1.8 bolsas

Explicación paso a paso:

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2/5 de 4 4/9 = comida para perros.

Convierte 4 4/9 a fracción impropia= 40/9.

2/5 de 40/9 implica 2/5 × 40/9.

= 16/9.

= 1.78 o 1.8.

Espero que esto sea útil, por favor marca como la mejor respuesta.

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