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ipn [44]
2 years ago
4

Choose the method of pay that would result in the most earnings for one month on sales of $60,000. a. Straight commission of 6%

on all sales. b. Monthly salary of $1,500 plus 3% commission on all sales. c. Graduated commission of 4% on the first $50,000 in sales and 10% on anything over that. d. Graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.

Mathematics
2 answers:
dusya [7]2 years ago
8 0

Answer:

d

Step-by-step explanation:

marin [14]2 years ago
4 0

Answer:

d. Graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.

Step-by-step explanation:

The attached graph shows the commission curves for the four options. For very high amounts of sales, the 10% rate (option c) will be the best, but sales must be above $140,000 for that to be the case. In the range of interest, the 9% rate (option d) is the best.

Here are the commission calculations on $60,000 for each of the options.

a. 6% of $60,000 = $3600

b. $1500 +3% of $60,000 = $1500 +1800 = $3300

c. 4% of $50,000 + 10% of $10,000 = $2000 +1000 = $3000

d. 5% of $40,000 + 9% 0f $20,000 = $2000 +1800 = <em>$3800</em> . . . . best choice

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3 12
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2 years ago
A business school professor uses multiple choice tests. Each question on his exams has five possible answers which are assumed t
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Answer:

a. The null hypothesis for this test is that the observed distribution is the same as uniform distribution

b. The degrees of freedom do you have for this test is 4

c.  The calculated value of the test statistic is 9.250

Step-by-step explanation:

a. According to the given data we can conclude that the null hypothesis for this test is that the observed distribution is the same as uniform distribution.

b. In order to calculate the degrees of freedom do you have for this test we would have to make the following calculation:

degrees of freedom=k-1

degrees of freedom=5-1

degrees of freedom=4

c. In order to calculate the value of the test statistic first we have to calculate the frecuency expected as follows:

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expected frecuency=1,000/5

expected frecuency=200

Hence, to calculate the value of the test statistic we have to calculate the following formula:

x∧2=∑(fo-fe)∧2/fe

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7 0
2 years ago
Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de
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Answer:

La altura del globo con respecto al suelo es 449,6 metros.

Step-by-step explanation:

La afirmación está incompleta. El enunciado completo es: "Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de depresión de 27°, mientras que para ver la ciudad B es de 36°. ¿Cuál es la altura aproximada del globo con respecto al suelo?

El diagrama geométrico de la situación se encuentra descrita en el archivo adjunto. La altura aproximada del globo puede obtenerse con ayuda de las funciones trigonométricas, en este caso, se recomienda utilizar la función tangente de los ángulos de depresión:

Ciudad A

\tan 27^{\circ} = \frac{h}{1500\,m-x}

0,510 = \frac{h}{1500\,m-x}

Ciudad B

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0,727 = \frac{h}{x}

Donde h y x son la altura con respecto al suelo y la distancia horizontal con respecto a la ciudad A.

A continuación, se elimina la altura de ambas ecuaciones por igualación y se determina la distancia horizontal del globo con respecto a la ciudad A:

0,727\cdot x = 0,510\cdot (1500\,m-x)

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Finalmente, la altura del globo con respecto al suelo es:

h = 0,727\cdot x

h = 0,727\cdot (618,432\,m)

h = 449,600\,m

La altura del globo con respecto al suelo es 449,6 metros.

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