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kotegsom [21]
3 years ago
7

Una pequeña empresa dedicada a la fabricación de muebles lanzará al mercado un nuevo modelo de escritorio para escolares a un pr

ecio de S/ 125. Los costos fijos son S/ 4,750 y los costos variables S/ 75. Entonces, ¿cuántos escritorios se deben fabricar y vender para obtener S/ 25 000 de utilidad?
Mathematics
1 answer:
Pie3 years ago
7 0

Answer:

Se debe fabricar y vender 553 escritorios para lograr una utilidad de S/ 25000.

Step-by-step explanation:

La utilidad por cada escritorio se obtiene al sustraer los costes fijos y variables del precio, es decir:

u = S/ \,125 -S/\,4,75 - S/\,75

u = S/\,45.25

El número de escritorios a vender para obtener S/\,25000 se calcula mediante la siguiente regla de tres simple:

x = \frac{S/\,25000}{S/\,45,25} \times 1\,esc

x = 552.486

Puesto que la cantidad a vender es una variable entera, se debe redondear al entero más cercano. En consecuencia, se debe fabricar y vender 553 escritorios para lograr una utilidad de S/ 25000.

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Use addition to solve the linear system of equations. Include all of your work in your final answer. \(\left\{ \right.\) 3x-y=6
ad-work [718]

Answer:

Solving the given linear system, we get x = 1 and y = -3.

The solution set is: (1,-3)

Step-by-step explanation:

We need to solve the linear system of equations.

3x-y=6 \\y=x-4

We can write second equation y=x-4  as: -x+y=-4

Let:

3x-y=6--eq(1)\\ -x+y=-4--eq(2)

Now, Adding equation 1 and 2

3x-y=6\\ -x+y=-4\\--------\\2x+0y=2\\2x=2\\x=\frac{2}{2}\\x=1

So, we get x = 1

Now, put value of x in second equation to find value of y:

y=x-4\\Put\:x=1\\y=1-4\\y=-3

So, we get y = -3

Solving the given linear system, we get x = 1 and y = -3.

The solution set is: (1,-3)

4 0
3 years ago
An experiment started with 100 bacteria. They double in number every hour. Find the number of bacteria after 8 hours.
zzz [600]
There will be 25,6000
8 0
3 years ago
A total of 626 tickets were sold for the school play. They were either adult tickets or student tickets. There were 74 fewer stu
Sholpan [36]

Answer:

351 adults and 275 students

Step-by-step explanation:

We can set-up a system of equations to find the number of adults. We know students and adults attended. We will let s be the number of students and a be the number of adults. Since 626 tickets were purchased, then s+a=626.

We also know that 74 fewer student tickets then adult tickets. So s+76=a, the number of student tickets plus 76 will be the number of adult tickets.

We will solve by substituting one equation into the other. We substitute a=76+s into s+a=626. Simplify and isolate the variable a.

s+a=626

s+76+s=626

2s+76=626

2s+76-76=626-76

2s=550

s=275

This means that 275 students attended and 351 adults attended since 275+351=626.


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4 years ago
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=54°, and RS = 26 feet. Find the length of QR to the nearest tenth of a foot
algol [13]

SOH-CAH-TOA

sin Q     =    <u>Opposite</u>     =    <u>26</u>

                 hypotenuse          x

sin 54   =     <u>26</u>

                     x

x sin 54 = 26

<u>x sin 54</u>      =     <u>     26    </u>

sin 54                sin 54

x =     <u>    26   </u>    =    32.1378  ≈  32.1 feet

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3 years ago
Which is the best estimate for the weight of a bicycle?
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Answer:

B

Step-by-step explanation:

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3 years ago
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