First, we need to convert 0.75 feet to inches.
0.75 feet = 9 inches
Now, we need to divide 9 by how many hours are in a day, which is 24.
9/24 = 0.375
The raindrop vine can grow up to 0.375 inches per hour.
<h3>
Answer: 12,201.90 dollars</h3>
You may need to delete the comma if you are entering this result into a computer system.
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Work Shown:
P = 10,000 = deposit
r = 0.04 = decimal form of 4% interest rate
n = 4 = we're compounding 4 times a year
t = 5 years
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A = P*(1+r/n)^(n*t) .... compound interest formula
A = 10,000*(1+0.04/4)^(4*5)
A = 12,201.9003994797
A = 12,201.90
After 5 years, there is $12,201.90 in the account.
This is assuming you do not deposit any more money, and it also assumes that you don't take any money out during the 5 year timespan either.
Answer:
The correct answer is A) 1.3
Step-by-step explanation:
To find this, simply input the correct values.
-|a| - b
-|-1.4| - -2.7
-1.4 + 2.7
1.3
Answer:
1000
Step-by-step explanation:
just trust me on this
This isn't an identity, so I assume you have to solve the equation.
(1 - sin(2<em>A</em>)) (1 + cot(2<em>A</em>)) = cot(2<em>A</em>)
1 - sin(2<em>A</em>) + cot(2<em>A</em>) - sin(2<em>A</em>) cot(2<em>A</em>) = cot(2<em>A</em>)
1 - sin(2<em>A</em>) - cos(2<em>A</em>) = 0
sin(2<em>A</em>) + cos(2<em>A</em>) = 1
Multiply both sides by 1/√2, which we want to do because cos(<em>π</em>/4) = sin(<em>π</em>/4) = 1/√2. This gives
cos(<em>π</em>/4) sin(2<em>A</em>) + sin(<em>π</em>/4) cos(2<em>A</em>) = 1/√2
Then condense the left side as
sin(2<em>A</em> + <em>π</em>/4) = 1/√2
2<em>A</em> + <em>π</em>/4 = sin⁻¹(1/√2) + 2<em>nπ</em> <u>or</u> 2<em>A</em> + <em>π</em>/4 = <em>π</em> - sin⁻¹(1/√2) + 2<em>nπ</em>
(where <em>n</em> is any integer)
2<em>A</em> + <em>π</em>/4 = <em>π</em>/4 + 2<em>nπ</em> <u>or</u> 2<em>A</em> + <em>π</em>/4 = 3<em>π</em>/4 + 2<em>nπ</em>
2<em>A</em> = 2<em>nπ</em> <u>or</u> 2<em>A</em> = <em>π</em>/2 + 2<em>nπ</em>
<em>A</em> = <em>nπ</em> <u>or</u> <em>A</em> = <em>π</em>/4 + <em>nπ</em>
