<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>
(a^2+a-3)-(3a^2-5)= -2a^2+a+2
C. is the answer
Hope it helps.
Answer: f(x) = 0.30x + 2.50
This is the same as writing y = 0.30x + 2.50
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Explanation:
x = number of pounds
y = f(x) = total cost in dollars
1 pound costs $0.30
x pounds cost 0.30x
This is ignoring the entrance fee
Tacking on the entrance fee leads to a total of y = 0.30x + 2.50
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The independent variable is always x and the dependent variable is always y.
The independent variable (number of pounds) determines what the dependent variable (total cost) will be.
Answer:
(2, 5)
Step-by-step explanation:
The x coordinate is the number inside the parentheses, but with the opposite sign, 2
The y coordinate is the number at the end