Al precio de p dólares por unidad, se venden x unidades de cierto artículo al mes en el mercado con p=50-0.5x ¿Cuántas unidades como mínimo se deben vender cada mes con el objetivo de tener ingresos de por lo menos de 1.200 dólares?

Answers

Answer 1

Answer:

Se debe vender un mínimo mensual de 40 artículos para tener un ingreso mínimo de 1.200 dólares.

Step-by-step explanation:

De acuerdo con el enunciado, [tex]x[/tex] es la cantidad mínima de artículos a un precio de [tex]p[/tex]. Además, los ingresos totales deben ser de un mínimo de 1200. En consecuencia, tenemos el siguiente sistema de ecuaciones:

[tex]x \cdot p = 1200[/tex] (1)

[tex]p = 50-0.5\cdot x[/tex] (2)

Aplicando (2) en (1), tenemos la siguiente ecuación polinómica:

[tex]x\cdot (50-0.5\cdot x) = 1200[/tex]

[tex]50\cdot x -0.5\cdot x^{2} = 1200[/tex]

[tex]0.5\cdot x^{2}-50\cdot x +1200 = 0[/tex] (3)

Por la Fórmula de la Cuadrática tenemos las raíces del polinomio:

[tex]x_{1} = 60[/tex], [tex]x_{2} = 40[/tex]

De acuerdo con el resultado anterior, se debe vender un mínimo mensual de 40 artículos para tener un ingreso mínimo de 1.200 dólares.


Related Questions

Jayce bought 12 balloons. 3/9 of the balloons are yellow. how many yellow balloons are there?

Answers

Answer:

4

Step-by-step explanation:

3/9 is the same as 1/3 so 1/3 or 12 is 4

Answer:

4

Step-by-step explanation:

What is the MEAN of the data - (12, 8, 6, 12, 16, 12) *

helppp

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Answer: the mean is 11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Add them all together then divide by the nuber of variables

HELP ME WHATS THE VALUE OF X?

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Answer:

Step-by-step explanation:

Total sum of degrees of a Triangle is 180 deg

Than: 8x-7 + x +7 + 2x + 15 = 180

11x + 15 = 180

x = (180-15) / 11  =15

Answer: 15

Find the 11th term of the geometric sequence 6, -18, 54, ...

Answers

Answer:

354294

Step-by-step explanation:

Use the formula

[tex]a_{n} = a_{1} r^{n - 1}[/tex]

In your problem [tex]a_{1}[/tex] = 6   r = -3    n = 11

11th term = [tex]a_{11}[/tex] = [tex]6(-3)^{11 - 1} = 6(-3)^{10}[/tex] = 6(59049)

                       = 354294

Divide and round to the nearest hundredths place.
0.25 ÷ 0.06 =

Answers

Answer:

4.17

Step-by-step explanation:

Answer:

14.17

Step-by-step explanation:

0.25 divided by 0.06 =4.166666666667

you take the first 3 numbers 4. 166 round the last number if it is a 5 or higher the number goes up one 4.166 rounds up to 4.17

Work out size of Angle x

Answers

Answer:

106

Step-by-step explanation:

all 3 of the angles add up to 360

you already know one is 164 and one is a right angle so

164 + 90 = 254

360 - 254 = 106

if the ordered pairs graphed are all equivalent ratios

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Answer:

huh?

Step-by-step explanation:

whats the question

how to do this question plz answer ​

Answers

9.95^2 x 29.8 = 2,950.2745 and Yes the answer is sensible.

Please someone help I need to turn this in soon !!

Answers

Answer:

6

Step-by-step explanation:

18/3=6

which of these ARE NOT equivalent?
I NEED HELPPP

Answers

Answer:

the first one I'm pretty sure

Step-by-step explanation:

I tried the other ones

What is the value of x?
a . 75
b . 25.5
c . 8
d . 4.5

help meeee

Answers

Answer:

d. 4.5

Step-by-step explanation:

10x-5=16x+22

    -22      -22

10x-27=16x

-10x      -10x

-27=6x

x=4.5

The answer is d 4.5

PLSS HELP THE TEACHER IS ASKING FOR MY ANSWERS CUZ I WAS SUPPOSED TO DO IT AND I WASNT PREPARED PLSSS HELP IM NEXT AND CAN SOMEONE PLS TELL ME WHAT TO DRAW LIKE SHADE? A PIC OF EVERYTHING SHADED AND DRAWN WOULD BE RLLY NICE TYSM HAVE A GOOD DAY! BUT PLS HELPP

Answers

Answer:

write on each line....

equivalent, not equivalent, not equivalent

equivalent, not equivalent, equivalent

not equivalent, not equivalent, equivalent

Shade in each with what ever the fraction says to, for example 2/4 only shade in 2 boxes

The equation of the scatter plot trend line is y = -1700x + 32000 where y is the value of the car in dollars and x is the age of cars in years. Use the trend line equation to predict the value of a car after 7 years.

Answers

Answer:

20100

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Given equation

y = -1700x + 32000

Where x is the age of car and y is the value of the car.

Then value after 7 years can be calculated as follows,

y = -1700 (7) + 32000

y = -11900 + 32000

y = 20,100

So, the value of car after 7 years will be 20100.

Describe and correct the error in solving the equation.

27 = n-15

-15 +15

12 = n

Answers

The error is that 15 was subtracted on the left side when it should’ve been added.
Corrected equation:
27 = n-15
Add 15 to both sides
42 = n

help please? anyone?

Answers

Answer:

"so i need to find e missing side of each right triangle, side c is the hypotenuse!! a = 8.8ft, b= 9ft i have to round the answers to the nearest tenth if necessary "

Step-by-step explanation:

Sure! So remember that the Pythagorean theorem is a squared plus b squared = c squared.

= 8.8 squared + 9 squared = c squared

= 77.44 + 81 = c squared

[tex]\sqrt{158.44}[/tex] = c squared

c squared = (rounded) 12.6 ft


A cube has edges measuring 7 centimetres each. Determine the surface
area of the cube.

Answers

Answer: I think its 294cm²

Please help me find the answer !

Answers

Answer:

x = 12

y = 6√3

Step-by-step explanation:

✅Apply the intersecting secant theorem to find x. Thus:

6(6 + x) = 7(7 + 8³/7)

Convert the mixed fraction to improper fraction

6(6 + x) = 7(7 + 59/7)

36 + 6x = 49 + 59

36 + 6x = 108

6x = 108 - 36

6x = 72

Divide both sides by 6

x = 72/6

x = 12

✅Apply the tangent-secant theorem to find y. Thus:

y² = 6(6 + x)

Plug in the value of x

y² = 6(6 + 12)

y² = 6(18)

y² = 108

y = √108

y = 6√3

In AHIJ, i = 99 inches, j = 99 inches and ZH=9°. Find the length of h, to the nearest
inch.

Answers

Answer:16

Step-by-step explanation:

Delta math

Answer:16

Step-by-step explanation:delta math

What is the area of the triangle?

Answers

Answer:

the answer is 80

Look at the right triangle on the coordinate grid

A. 11

B. 24

C. 73

Answers

A i’m pretty sure is the answer

Answer:

i believe 73 is the answer

A cyclist travels 5 miles in the direction N 30° E, then travels 3 miles in the direction N 70° E. Which equation measures the cyclist's distance, x, from the starting point?

Answers

Answer:

D

Step-by-step explanation:

Edge 2021

The formula calculates the cyclist's separation from the starting point, x, and will be x² = 5² + 3² - 2(5)(3)cos(140°).

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

From the cos law ;

x² = a² + b² - 2ab cos θ

The values obtained will be,

a =5

b =3

θ = 180° +70° -30°

θ = 180°- 40°

θ = 140°

Substitute the given values in the equation,

x² = a² + b² - 2ab cos θ

x² = 5² + 3² - 2(5) (3) cos(140°)

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enter the value of (-1 1/4) - (-2/3) + (-3.5)

Answers

Answer:

−67/12

Step-by-step explanation:

Answer:

Exact form- 49/12

Decimal Form- -4.083

Mix Number Form- -4 1/12

Step-by-step explanation:

which of the following is equivalent to the expression above

Answers

c) 2x^2y + 2xy^2

Explanation:

(x^2 y-3y^2+5xy^2)- (-x^2y+3xy^2-3y^2)

(x^2 y+5xy^2 -3y^2)- (-x^2y+3xy^2-3y^2)

x^2 y +5xy^2 -3y^2 + x^2y -3xy^2 + 3y^2

2x^2y + 2xy^2

The option C) 2x²y + 2xy² is equivalent to the given expression (x²y - 3y² + 5xy²) - (-x²y + 3xy² - 3y²).

Mathematically, an expression is an admixture of numbers, variables, operations, and functions that are conjoined according to peculiar rules to depict a mathematical calculation or association. It can be supposed to as a mathematical idiom or formula.

By combining numbers, variables, operators, and functions, mathematical expressions can define a broad lea of calculations and associations.

The given expression is (x²y - 3y² + 5xy²) - (-x²y + 3xy² - 3y²).

(x²y - 3y² + 5xy²) - (-x²y + 3xy² - 3y²)

= x²y - 3y² + 5xy² + x²y - 3xy² + 3y²

= 2x²y + 2xy².

Hence, option C) is correct in that 2x²y + 2xy² is equivalent to the given expression.

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Answers

1/3 2/3 3/3

1/4 2/4 3/4 4/4

What problems did Title IX address? Check all that apply.

lack of support for international students

limited opportunities for female athletes

limited resources in scientific courses of study

lack of scholarships and championships for women in sports

limited resources and facilities for women

Answers

Answer:

limited resources and facilities for women

lack of scholarships and championships for women

limited opportunities for female athletes

2,4,5

Statement two, four, and five are correct title IX law mandates institutions to obtain federal assistance to combat gender-based violence and harassment and respond to survivors' needs.

What is Title IX?

Title IX is a potent instrument for fighting campus violence because it is a federal (national) legislation. To ensure that all students have equal access to education, the law mandates institutions to obtain federal assistance to combat gender-based violence and harassment and respond to survivors' needs.

As per the Title IX law:

Limited opportunities for female athletes.Lack of scholarships and championships for women in sports.Limited resources and facilities for women.

Thus, statement two, four, and five are correct title IX law mandates institutions to obtain federal assistance to combat gender-based violence and harassment and respond to survivors' needs.

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A simple random sample from a population with a normal distribution of 103 body temperatures has x = 98.30°F and s = 0.61°F. Construct a 95​% confidence interval estimate of the standard deviation of body temperature of all healthy humans.

Answers

Answer:

(98.2884 ; 98.3116)

Step-by-step explanation:

Given :

x = 98.30°F and s = 0.61°F

Sample size. n = 103

Zcritical at 95% = 1.96

Using the confidence interval relation :

x ± margin of error

Margin of Error :

Zcritical * s/√n

1.96 * 0.61/√103 = 0.0116

Lower boundary = (98.30 - 0.0116) = 98.2884

Upper boundary = (98.30 + 0.0116) = 98.3116

(98.2884 ; 98.3116)

the total value of the eggs is about blank cubic centimeters.​

Answers

Answer:

16249.27392 cm³

Step-by-step explanation:

V = [tex]\frac{4}{3}[/tex] × π × r³

[tex]\frac{4}{3}[/tex] × 3.14 × 3.3³

Volume of 1 egg is 150.45624 cm³.

150.45624 cm³ × 108

16249.27392 cm³

Suppose a runner travels 5200 feet in 5 minutes. At what rate does she run?

Answers

she a runna she a track star

sorry lol

Answer:

1040 ft./min

Step-by-step explanation:

It's Right :)

y'all i just saw the most inappropriate thing.. please... for my eye's sake.. don't post inappropriate things. kids are on this app trying to get answers and learn. do this somewhere else

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Answer:

Was it from goldenglare? Cuz that was disgusting

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i'm with u cause i saw something inappropriate earlier

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Answer:

I thinks its F because you cant factor it

Step-by-step explanation:

Answer:

F) The expression does not have a real factor

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