Answer:
Step-by-step explanation:
is given value in dollars of a stock in t months after it is purchased.
a) Substitute 1 for t

V(12) = 
b) Find derivative for V

c) When V(t) = 75

d) As t tends to infinity, exponent being in negative t tends to 0
So V tends to 42(1-0)+36 = 78
We know that:

is an equation of a circle.
When we substitute x and y (from the pairs we have), we'll get a system of equations:

and all we have to do is solve it for a, b and r.
There will be:

From equations (II) and (III) we have:

and from (I) and (II):

Now we can easly calculate a and b:

Finally we calculate

:

And the equation of the circle is:
Answer:
D.
Step-by-step explanation:
m<F = m<B - Corresponding Angles Theorem
m<B + m<A = 180 - Adjacent Angles Theorem
180 - 105 = m<A
75 = m<A; therefore, m<A = 75.
The answer would depend on where the numbers you gave us are on the pyramid. but here is the formula to find the surface area of a prism;
surface area= base x height + 2 x length x side + length x base
i will do the equation for you if you specify which numbers are the base, length, side, and height. or if you attach a photo.