A person applying for a sales position is offered an alternative salery plan.
Plan A- A base salery of $600 per month plus a commission of 4% of the gross value for the month
Plan B- A base salery of $700 per month plus a commission of 6% of the gross sales of the month in excess of $10,000.
A) For each plan, formulate a function (an equation) that expresses monthly earings as a function of gross sales (x)
B) For what gross sales value is Plan B preferable?
One notation for monthly earnings is
A = $600 + .04X
While the other is
B = $700 + .06(X - $10,000).
The breaking point for gross sales would be where the two salaries are equal. You should be able to answer the remaining question with this information.
I hope this helps. Thanks for asking.
Find the Verticies of a hyperbola with the equation with the equation (x+3) squared -4(y-2)squared= 4
To find the vertices of a hyperbola with the equation (x+3)^2 -4(y-2)^2 = 4, we need to rearrange the equation into a standard form. The standard form for a hyperbola with horizontal transverse axis is:
(x-h)^2/a^2 - (y-k)^2/b^2 = 1
From the given equation, we can see that h = -3, k = 2, a^2 = 4, and b^2 = 1.
To find the vertices, we need to consider the value of a. The vertices of a hyperbola lie along the transverse axis, which is the line passing through the center of the hyperbola and perpendicular to the conjugate axis.
For a hyperbola with horizontal transverse axis, the vertices are located (h-a, k) and (h+a, k) on the x-axis.
Substituting the values we have, we get:
Vertex 1 = (-3 - 2, 2) = (-5, 2)
Vertex 2 = (-3 + 2, 2) = (-1, 2)
Therefore, the vertices of the hyperbola are (-5, 2) and (-1, 2).