Answer:C. Since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line x = 3.
Step-by-step explanation:
Let the profit made by the boutique is given by the function y(x) then
We can see
Profit made in year 2011=profit made in year 2015
i.e.y(1)=y(5)=$84,000
profit made in year 2012=profit made in year 2014
i.e.y(2)=y(4)=$111,000
And profit made in year 2013 is standing in middle as y(3)=$120,000
which gives the line of symmetry x=3.(with reference to the figure)
Therefore, the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line x = 3.
Line of symmetry is an imaginary line that divides a line or shape making two identical halves.
24 yrs, might not be the answer
3%=0.03 you have to get to 6%=0.06
So you find the value of each month in 3%
So 3% divided by 12 months = 0.0025
Now you have the value of each month MULTIPLY until you get 0.06
So: 0.0025 x 1, 2, 3, 4,…….. and so forth
So the your result will be
0.0025per months x 24yrs = 0.06 = 6%
24 years
<span>Don't forget S is measured in thousands of units so you are solving for :
100 < 74.5 + 43.75Sin(πt/6)
25.5 < 43.75Sin(πt/6)
Sin(πt/6) >25.5/43.75 = 0.582857
ASrcSin(πt/6) > 0.62224 radians
πt/6 > 0.62224
t > 6 x 0.62224/π = 1.1884 (4dp)
This initial value occurs when the sine value is increasing and it will reach its maximum value of 1 when Sin(πt/6) = Sinπ/2, that is when t = 3.
Consequently, monthly sales exceed 100,000 during the period between t = 1.1884 and 4.8116
[3 - 1.1884 = 1.8116 so the other extreme occurs at 3 + 1.8116]
Note : on the basis of these calculations, January is 0 ≤ t < 1 : February is 1 ≤ t < 2 :....May is 4 ≤ t < 5
So the period when sales exceed 100,000 occurs between Feb 6 and May 25 and annually thereafter.</span>
Answer:
4
Step-by-step explanation:
The LCD (Least Common Denominator) of all the fractions is 4, so you only need to multiply by 4.
Hope this helps :)
All are correct except these 2:
The graph has one x-intercept:
No, the graph does not cut at the x-axis at all, there is no x-intercept.
The graph as a y-intercept at (5,0):
No, the y-intercept is at (0,5)
