If Clarissa had $18,000 in sales during the month of November, and she earns an 8% commission on the dollar value of her sales, then we first need to find out how much she made on commissions alone for the month of November. We can do that by multiplying the percentage by the amount of money she made off of sales.
To do this, we first must convert the percentage into a decimal. We can do this by either dividing the percent by 100, or (my personal shortcut) just shifting the decimal point over 2 places to the left.
8% = 0.08
Now, we multiply the decimal by the amount she made
0.08 * 18000 = 1440
So Clarissa made $1,440 off of commissions. But that's not what the question is asking. It wants to know what percentage of Clarissa's income for the month of November was from commissions. We can do this by adding her base pay to the amount she made from commissions, and then dividing the amount she got from commissions by the total amount she made for the month of November.
2400 + 1440 = 3840
1440 / 2840 = 0.375
We can convert this decimal back to a fraction by multiplying by 100
0.375 = 37.5%
37.5% of Clarissa's pay for the month of November was from commissions.
Hope that helped =)
Answer:
The mistake was on your second step where you took b to be +6, yet it has to be -6.
Answer:
La masa del recipiente vacío es 1,2146 kg.
Step-by-step explanation:
La densidad se define como la propiedad que tiene la materia, ya sean sólidos, líquidos o gases, para comprimirse en un espacio determinado. En otras palabras, la densidad es una magnitud que permite medir la cantidad de masa que hay en determinado volumen de una sustancia. Entonces, la expresión para el cálculo de la densidad es el cociente entre la masa de un cuerpo y el volumen que ocupa:

Entonces la masa puede ser expresada como:
masa= densidad*volumen
En este caso:
- densidad del agua= 1000

- volumen del recipiente cilíndrico= π*radio²*altura= π*(5 cm)²* 10 cm= π*(0,05 m)²*0,1 m= 7,854*10⁻⁴ m³
Reemplazando:
masa= 1000
* 7,854*10⁻⁴ m³
masa=0.7854 kg
Si la masa del recipiente lleno es de 2 kg, entonces se le resta la masa de agua calculada:
2 kg - 0,7854 kg= 1,2146 kg
Entonces,<u><em> la masa del recipiente vacío es 1,2146 kg.</em></u>
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Angel 3 is adjacent to Angel 4 therefore they are equal.
Answer: x=63, y=52, z=48
Step-by-step explanation:
The complete question in english is:
The sum of 3 natural numbers is 163. By subtracting the third number from the sum of the first two numbers, we get 67. By subtracting the first number from the sum of the last 2 numbers, we get 37. Determine the 3 numbers
According to this we have a system with three equations and three unknown values:
(1)
(2)
(3)
Let's begin by isolating
from (1):
(4)
And substitute (4) in (2):
(5)
Isolating
:
(6) We have found the first number
Substituting (6) in (1):
(7)
Adding (7) to (3):

We have the following:

Isolating
:
(8) This is the second number
Substituting (6) and (8) in (1):
(9)
Isolating
:
(10) This is the third number