Answer:
0.5
Step-by-step explanation:
We assume your function is

The distance formula can be used to find the distance from the point on the curve (x, f(x)) to the origin:
d^2 = (x)^2 + (f(x))^2 = x^2 + (4 -x)
Written in vertex form, this is ...
d^2 = (x -1/2) + 3.75
This has a minimum at x=1/2, so that is the x-coordinate of the point closest to the origin.
Answer: length = 28 meters
Width = 15 meters
Step-by-step explanation:
Let L represent the length of the rectangular garden.
Let W represent the width of the rectangular garden.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The rectangular garden is enclosed with eighty-six meters of fencing. This means that
2(L + W) = 86
Dividing through by 2, it becomes
L + W = 43- - - - - - - - - - - -1
The garden is thirteen meters longer than it is wide.. This means that
L = W + 13
Substituting L = W + 13 into equation 1, it becomes
W + 13 + W = 43
2W + 13 = 44
2W = 43 - 13
2W = 30
W = 30/2
W = 15
L = W + 13 = 15 + 13
L = 28
Answer:
It will increase by 0.2%.
Step-by-step explanation:
In this problem we need to solve for the monthly interest first.
We use the formula:
Now that we have the formula we now define our variables.
i = 20.87% or 0.2087
n = 12





or 23%
Now we have to find the daily interest rate.





or 23.20%
23.20% - 23% = 0.20% increase.
The domain is the set of inputs over which our function W(T) gives a valid result.
