Answer:
A typical mixture equation
:
x + .10(54-x) = .20(54)
x + 5.4 - .10x = 10.8
x - .1x = 10.8 - 5.4
.9x = 5.4
x = 5.4%2F.9
x = 6 L of pure acid to be combined with: 54-6 = 48 L of 10% solution
Step-by-step explanation:
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Answer:

Step-by-step explanation:
The formula to find the area of a circle is

We know that

Therefore the area is

Answer:
1 mi/hr
Step-by-step explanation:
Given that:
Speed in still water, s = 5 mi/hr
Let speed of current = x
Time = distance /speed
Upstream (subtract speed of current) = 5 - x
Upstream time = 8 / 5 - x - - - (1)
Downstream (add speed of current) = 5 + x
Downstream time = 12 / 5 + x - - - (2)
Equate (1) and (2)
8 / (5 - x) = 12/ (5 + x)
8(5 + x) = 12(5-x)
40 + 8x = 60 - 12x
40 - 60 = - 12x - 8x
-20 = - 20x
x = 1
Spwed of current = 1 mi/hr
x=11
x is equal to 11 because you subtract 4x from both sides and then add 8 to both sides where you are left with 2x=22. After dividing by 2, you get x=11
Total amount = Pe^(rt)
where
P=principal
e=2.7182818284...
r=0.035
t=3 (years)
Total amount
= 7565(e^(0.035*3)
=$ 8402.53