Answer:x=1/2
Step-by-step explanation:
Answer:
Demand: q = -50p + 1200
Supply: q = 40p
Step-by-step explanation:
First let's define our variables.
q = quantity of T-shirts
p = price
We know that when p = 12, q = 600. When p increases by 1, q decreases by 50. So this is a line with slope -50 that passes through the point (12, 600). Using point-slope form to write the equation:
q - 600 = -50 (p - 12)
Converting to slope-intercept form:
q - 600 = -50p + 600
q = -50p + 1200
Similarly, we know that when p = 9.75, q = 600 - 210 = 390. When p increases by 1, q increases by 40. So this is a line with slope 40 that passes through the point (9.75, 390). Using point-slope form to write the equation:
q - 390 = 40 (p - 9.75)
Converting to slope-intercept form:
q - 390 = 40p - 390
q = 40p
Given:
There are given that the cos function:

Explanation:
To find the value, first, we need to use the half-angle formula:
So,
From the half-angle formula:

Then,
Since 105 degrees is the 2nd quadrant so cosine is negative
Then,
By the formula:

Then,
Put the value of cos210 degrees into the above function:
So,

Final answer:
Hence, the value of the cos(105) is shown below:
28 is 140% of 20
Hope this helps!
Option B: 4 is the multiplicative rate of change of the function
Explanation:
The exponential growth function is 
We need to determine the multiplicative rate of change of the function.
First, let us determine the values of function.
x y
1 8
2 32
3 128
4 512
Since, the multiplicative rate of change of an exponential function is the number by which the next term is increasing or decreasing.
Thus, the multiplicative rate of change of the function is given by
Multiplicative rate of change of the function = 
Multiplicative rate of change of the function = 
Multiplicative rate of change of the function = 
Thus, the multiplicative rate of change of the function is 4
Therefore, Option B is the correct answer.