Stock prices for a certain company start at $12 per share an increase at a rate of $2 per month. Write an equation of the function of the value of the stock price v,
as a function of the number of month that have passed, m.

Step-by-step explanation:

V = $12

M = The number of months

So, function = v + $2m

Lets take an Example = for example the stock price now is $20

V + $2m = $20

V = $12

So, 12 + $2m = 20

$2m = 20 - 12

$2m = 8

m = 8/2

m = 4

So this used we can easily find the number of months

Now let's try with the stock price only

The total now is $24

And 6 months passed

v + $2m = $24

v + $2(6) = $24

v + $12 = $24

v = $24 - $12

v = $12

So we got the same stock price

We found with this function the stock price as well as the number of months

Hope this answers ur question!

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.