Answer:
The range interval is: (7, -1)
Step-by-step explanation:
Given the function
g(x) = -2r+5
Let us put the domain values in the interval (-1, 3)
Putting x = -1
g(x)=-2r+5
= -2(-1)+5
= 2+5
= 7
Putting x = 0
g(x)=-2r+5
= -2(0)+5
=0+5
= 5
Putting x = 1
g(x)=-2r+5
= -2(1)+5
=-2+5
= 3
Putting x = 2
g(x)=-2r+5
= -2(2)+5
=-4+5
= 1
Putting x = 3
g(x)=-2r+5
= -2(3)+5
=-6+5
= -1
Thus the range interval is: (7, -1)
Given:
$600 principal
8% rate = 8/100 = 0.08
3 years time
Solving for A:
A = P⋅e^rt
where:
A is the amount
P is the principal
e is the mathematical constant
r is the rate of interest
t is the time in years
A = P⋅e^rt
= 600⋅e^(0.08⋅3)
= 600(2.718281828459045)^(0.24)
A = $762.70
$600 compounded continuously at a rate of 8% for 3 years will yield a final amount of $762.70
Answer:
The coordinates of the mid-point are :

Step-by-step explanation:
We know that, the coordinates of the mid-point (<em>x</em>, <em>y</em>) of a line segment joining the points (<em>x</em>₁, <em>y</em>₁) and (<em>x</em>₂, <em>y</em>₂) is given by

Now, we have the given points as (3, 5) and (-2, 0).
By using the above formula, coordinates of the mid-point (<em>x</em>, <em>y</em>) of the line-segment joining the points (3, 5) and (-2, 0) is given by,


∴ coordinates of the mid-point of the line-segment joining the points (3,5) and (-2,0) is
.
Yes this is correct using equaivslent angles formula in order to do
If that is a square to the parenthesis then it would be D. the formula is (x-h)^2+(y-k)^2=r^2