Answer: (u+7) x -3
I like to use substitution, for example u=2
(2+7) x -3 = -27
-3(2+7) = -27
S = d/t
st = d
t = d/s
The time going is t1.
The time returning is t2.
The total time is 4 hours, so we have t1 + t2 = 4
The speed of the current is c.
The speed going is 9 + c.
The speed returning is 9 - c.
t1 = 16/(9 + c)
t2 = 16/(9 - c)
t1 + t2 = 16/(9 + c) + 16/(9 - c)
4 = 16/(9 - c) + 16/(9 + c)
1 = 4/(9 - c) + 4/(9 + c)
(9 + c)(9 - c) = 4(9 - c) + 4(9 + c)
81 - c^2 = 36 - 4c + 36 + 4c
81 - c^2 = 72
c^2 = 9
c^2 - 9 = 0
(c + 3)(c - 3) = 0
c + 3 = 0 or c - 3 = 0
c = -3 or c = 3
We discard the negative answer, and we get c = 3.
The speed of the current is 3 mph.
<span>Cylinder Volume = </span><span>π <span>• r² • height
</span></span>
18 PI = PI * 9 * height
height = 18 PI / PI * 9
height = 2 inches
<span><span /></span>
Cost of goods sold (COGS)
I’m not entirely sure, but I believe this is the answer.
Answer:
Initial value is 5, Growth, 7%
Initial value is 60, Decay, 7%
Step-by-step explanation:
Growth and decay are given respectively by
. Growth adds to 1 by its percent. Decays subtracts from one its percent.
Since the left has a rate greater than 1 it is growth and the amount above is it's percent as a decimal. We convert by multiplying 0.07 by 100 which equals 7%. The right has a rate less than 1 and is decay. The amount below 1 has been found by subtracting the rate. So we subtracted -0.07 to get 093. Then 0.07 is our rate and we multiply by 100 to get -7%.
The initial value is P and is always P. On the left, 5 is in the P position. On the right, 60 is in the P position.