45+5.25n>108
-45 -45
5.25n > 63
then divide both sides by 5.25
n>12
11.6666667 yards I believe.
the first few bars are the people who walked fewer than 4,000, so add up the numbers on the side (2 and 5) and you get 7, so a
The answer is rotation then translation. (:
Answer:
r = 3.628 cm
h = 10.88 cm
cost = 11.16 cents
Step-by-step explanation:
we know the total volume = 450 cc
then pi * r ^ 2 * h = 450
solved for h:
h = 450 / (pi * r ^ 2)
h = 143.31 / r ^ 2
now the total cost of packing = 2 * 3.14 * r * h * 0.03 + 3.14 * r ^ 2 * 0.03 + 3.14 * r ^ 2 * 0.06
= 0.1884 * r * h + 0.0942 * r ^ 2 + 0.1884 * r ^ 2
= 0.1884 * r * h + 0.2826 * r ^ 2
putting the value of h in the previous equation we obtain
total cost = 27 / r + 0.2826 * r ^ 2
we have to minimize this to differentiate it and equate it with 0
:
-27 / r ^ 2 + 0.5652 * r = 0
r ^ 3 = 27 / 0.5652
r ^ 3 = 47.77
r = 3,628 cm
replacing:
we get h = 450 / (3.14 * 3,628 ^ 2) = 10.88 cm
the total cost can be calculated for the equation
we get the total cost = 27 / 3,628 + 0.2827 * 3,628 ^ 2 = 11.16 cents
