Answer:
Step-by-step explanation:
$3000 * 0.04 = $120
$100 * 0.02 = $20
total 2 accounts = $120 + $20 = $140
answer: $3000 was the originally deposited into the account that pays 4% interest.
Based on the equation given, it can be deduced that the value of the number will be 36.
Let the number be represented by x
Therefore, seven less than one-fourth of a number will be:
=(1/4 × x) - 7
= 0.25x - 7
Now, seven less than one-fourth of a number is 2 will be written as:
0.25x - 7 = 2
0.25x = 2 + 7
0.25x = 9
x = 9/0.25
x = 36
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Well first find the area of the semi-circle.
If the area of a cricle is equal to pi*radius^2 , then you can just find that and divide by 2.
So, A = pi*2^2. = 4pi
We know that the radius is 2 because the length of the side of the rectangle is 4, meaning that the diameter of the semi-circle is 4, and so the radius is 2 as it is half of the diameter.
We can easily calculate the area of the rectangle, which is
Length * width = 6*4 = 24.
Next we divide 4pi by 2 in order to get the area of the semi-circle, giving us an area of 2pi
We can just subtract 2pi from 24 and get the area of the shaded region.
Area of the shaded region (answer): 17.7
Sec(theta) = 1 / cos (theta) = hypotenuse / x -coordinate
hypotenuse = 1 (because it is the radius of the unit circle)
sec (theta) = 1 / (-3/5) = - 5/3
cot (theta) = 1 / tan(theta) = x-coordinate / y - coordinate
cot (theta) = -3/5 / y
y^2 + (-3/5)^2 = 1 => y^2 = 1 - 9/25 = 16/25 = y = +/- 4/5
Third quadrant => y = -4/5
=> cot (theta) = (-3/5) / (-4/5) = 3/4
