Answer:$5408
Step-by-step explanation:
The first company offers a straight commission of 5% of the sales. This means the salary or income is 5% of sales made.
The second company offers a salary of $260 per week plus 4% of the sales. This means salary or income
= $260 +4% of 260
= 260 + (4/100)×260
= 260 +(0.04×260)
=260+10.4 = $270.4
Let x = the amount of sales you would have to sell in a week in order for the straight commission offer to be at least as good
5% of x should be greater than or equal to $270.4
0.05x = 270.4
x = 270.4/0.05 =$5408
The sales should be greater than or equal to $5408
Answer:

And we can use the normal standard distribution table or excel and with the complement ruler we got:

Step-by-step explanation:
We know the following info given:
represent the true mean
represent the population deviation
represent the sample size selected
Since the sample size is large enough (n>30) we can use the central limit theorem and the sample mean would have the following distribution:

And for this case we want to find this probability:

And we can use the z score formula given by:

And replacing we got:

And we can use the normal standard distribution table or excel and with the complement ruler we got:

Answer:
b. $342
Step-by-step explanation:
Base = Length * width
Base Area = 12 * 5
B = 180 square inches.
Perimeter of the prism will be :
P = 2 (length) + 2 (15)
P = 2 * 12 + 30
P = 54 inches
Height of the jewelry container will be :
X = Ph + 2B
X = 54 * 6 + 2 * 180
X = 684 square inches.
Total cost for paint of jewelry box is :
X * cost per inch
Total cost = 682 * $0.50
Total Cost = $342.
Answer:
[-3, ∞)
Step-by-step explanation:
There are many ways to find the range but I will use the method I find the easiest.
First, find the derivative of the function.
f(x) = x² - 10x + 22
f'(x) = 2x - 10
Once you find the derivative, set the derivative equal to 0.
2x - 10 = 0
Solve for x.
2x = 10
x = 5
Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.
f(x) = x² - 10x + 22
f(5) = 5² - 10(5) + 22
= 25 - 50 +22
= -3
Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.
This means the range is : [-3, ∞)
Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).
Hope this helped!
Answer:
No
Step-by-step explanation:
For negative numbers, the larger the number is the smaller its value is. For example -18 is greater than -18.5. This is because -18 is closer to 0 than -18.5 is. If you were to plot -18 and -18.5 on a number line you would see that -18 is closer to 0.