Answer:
4^x - 2^(x+1) = 48
x=3
Step-by-step explanation:
<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:
a) y = 0.55x + 75
b) $108
Step-by-step explanation:
a) to find the equation represent the sequence use the y=mx+b formula
y = total price
m = cost per mile
x = miles driven
b = flat fee
Therefore y = 0.55x+75
b) To figure out the cost of driving 60 miles you use the equation y = 0.55x + 75
y = 0.55 X 60 + 75
= 108
Therefore the cost of renting the truck and driving 60 miles is $108
2/5 is greater because it would equal 40/100 which is greater than 35/100
He will be charged for 551 miles.
30283-29582=701 miles traveled in the rental vehicle.
150 of those miles are free; 701-150 = 551 miles he will be charged for.
