Answer:
9220
Step-by-step explanation:10^3 = 1000 then times it by 9.22 and you should have 9220
Answer:
A=16000 B=16400
Step-by-step explanation:
1. You multiply 20,000 by .2 or 20%, because you are trying to find a part of the 20,000.
2. You get 4,000 dollars, that is 20% of 20,000. To find the sale price, you take the 20% away from 20,000, which would be 16,000 dollars. That would be your answer for the first part.
3. the sales tax is 2.5% of the sale price. Again, you multiply 16,000 dollars, your sales price, by .025 or 2.5%.
4. you would get 400 dollars. You add the 2.5% or 400 dollars because you have to pay the tax as well as the price. You would get 16,400 dollars.
<span>Constraints (in slope-intercept form)
x≥0,
y≥0,
y≤1/3x+3,
y</span>≤ 5 - x
The vertices are the points of intersection between the constraints, or the outer bounds of the area that agrees with the constraints.
We know that x≥0 and y≥0, so there is one vertex at (0,0)
We find the other vertex on the y-axis, plug in 0 for x in the function:
y <span>≤ 1/3x+3
y </span><span>≤1/3(0)+3
y = 3.
There is another vertex at (0,3)
Find where the 2 inequalities intersect by setting them equal to each other
(1/3x+3) = 5-x Simplify Simplify Simplify
x = 3/2
Plugging in 3/2 into y = 5-x: 10/2 - 3/2 = 7/2
y=7/2
There is another vertex at (3/2, 7/2)
There is a final vertex where the line y=5-x crosses the x axis:
0 = 5 -x , x = 5
The final vertex is at point (5, 0)
Therefore, the vertices are:
(0,0), (0,3), (3/2, 7/2), (5, 0)
We want to maximize C = 6x - 4y.
Of all the vertices, we want the one with the largest x and smallest y. We might have to plug in a few to see which gives the greatest C value, but in this case, it's not necessary.
The point (5,0) has the largest x value of all vertices and lowest y value.
Maximum of the function:
C = 6(5) - 4(0)
C = 30</span>
What you want to do here is plug 2 in for x. when a question asks you to evaluate a certain equation at a certain number, it's just asking you to plug the value in for your variable. i'm assuming that 12x + 8 is meant to be set over 4 as a fraction.
(12(2) + 8)/4 ... figure out the top first. 12*2 = 24, 24 + 8 = 32.
32/4 = 8, so your correct choice is D.
