Answer: C)46 ft
Step-by-step explanation:
We know that the circumference of a circle can be calculated with this formula:
Where "r" is the radius of the circle.
Since John is putting a fence around his garden that is shaped like a half circle and a rectangle, then we can find how much fencing he needs by making this addition:
Where "l" is the lenght of the rectangle and "w" is the width of the rectangle.
Since we know that the radius of the circle is half its diameter, we can find "r". This is:
Then, substituting values (and using 
), we get:
R(t) = integral of r'(t) = integral of ti + e^tj + te^tk = 1/2t^2i + e^tj + (te^t - e^t)k + c
r(0) = j - k + c = i + j + k
c = i + 2k
Therefore, r(t) = (1/2t^2 + 1)i + e^tj + (te^t - e^t + 2)k
The required function is:
Option 3: 
Step-by-step explanation:
The initial value and rate is used to write exponential function
Here
Given
Initial value = 37
Rate = r = 5%
When the rate is 5%, the next year the quantity will be 1+0.05 = 1.05 time of the current quantity.
So,
The function can be written as:
For initial value, put t=0
Hence,
The required function is:
Option 3:
Keywords: Functions, exponential functions
Learn more about functions at:
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From the given condition, there is only one honest lawyer present.
57.63 or 57.6
This works because you get 55 and then you’d get 84 so you’d multiply by 7. This would be 7 and you would put a decimal and carry a 0 so it would 70. So you’d end up with 57.6
