Answer:
235.5 ft³
Step-by-step explanation:
V = Ab×h
= πr²×h
= π(2.5)²×12
= 3.14×6.25×12
= 235.5 ft³
Answer:
$58.9
Step-by-step explanation:
In this question, we're going to go step by step to get the final price of the share.
We know that the stock started off as $60 per share, so that would be our starting value.
The stock dropped by 20%, so let's calculate the drop in price.
60 • 0.20 = 12
60 - 12 = 48
On Monday, the value of the stock was $48
On Tuesday, the stock dropped by $10, so calculate that drop as well
48 - 10 = 38
On Tuesday, the stock value is at $38
The stock increased by 55%, so we need to calculate the increase.
38 • 1.55 = 58.9
This means that the final price of the share was $58.9
Find the general solution by separating the variables then integrating:
dy / dx = cosx℮^(y + sinx)
dy / dx = cosx℮ʸ℮^(sinx)
℮^(-y) dy = cosx℮^(sinx) dx
∫ ℮^(-y) dy = ∫ cosx℮^(sinx) dx
-℮^(-y) = ℮^(sinx) + C
℮^(-y) = C - ℮^(sinx)
-y = ln[C - ℮^(sinx)]
y = -ln[C - ℮^(sinx)]
Find the particular solution by solving for the constant:
When x = 0, y = 0
-ln(C - 1) = 0
ln(C - 1) = 0
C - 1 = 1
C = 2
<span>y = -ln[2 - ℮^(sinx)]
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Answer:
6) 7, 14, 28, 54 - geometric sequence
( multiplication with 2 )
7) 1000, 200, 40, 8 - geometric sequence
( division by 5 )
8) 7, 14, 21, 28 - Arithmetic sequence
( addition of 7 )
