The profit produced by combining sales of gold label and black label equals the total of their individual profits. From the table
you find the gold label's profit
and similarly from another table
find the black label's profit
. Adding these yields
. Thus, option 5 is the correct choice.
The hyperbolic cosine function (cosh) is defined as
cosh (x) = (e^x + e^-x) / 2
The tangent line's slope at any given point on a function is determined by the derivative of that function at that specific point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Assuming the slope equals 2, we have
sinh(x) = 2
thus,
x = sinh^-1 (2) = 1.444
Consequently, the curve of y = cosh(x) has a slope of 2 at the coordinate x = 1.44
Response: The following comparison is made.
Detailed explanation:
At the playground, a climbing structure is 6 feet high and stretches 4 feet horizontally.
The slope can be calculated as vertical height divided by horizontal length.
= 6/4 = 3/2 = 1.5
In contrast, a climbing structure in the gym stands 10 feet tall, extending 6 feet horizontally.
Therefore, slope, 
= 10/6 = 5/3 = 1.67 (approximately)
As such, <
Thus, the slope of the first climbing structure is less than that of the second.
Answer:
3876
Step-by-step explanation:
We have the following data:
Members of the fraternity = 20
Their attendance at five parties is organized into groups of four.
This indicates that each group consists of 4 individuals.
At least one brother will be present at exactly one of the gatherings. (The brothers are indistinguishable).
Thus, precisely one brother at a gathering leaves (20 - 1) = 19, due to their indistinct nature.
Group sizes are in fours.
Calculating 19C4:
From: nCr = n! /(n-r)! r!
19C4 = 19! / (19 - 4)! 4!
= 19! / 15! 4!
= (19 * 18 * 17 * 16) / (4 * 3 * 2)
= 93024 / 24
= 3876
$29,580. Breaking it down: 29000/4 equals 7250. So, 7250 plus 2% of 7250 calculates as follows: 7250 + (2/100) * 7250 gives us 7250 + 145, totaling $7395 with four payments resulting in $29,580.
