Answer:
$8,100
Step-by-step explanation:
He pays $225 for three years. There are 12 months in a year, so they are 36 months in 3 years. $225 a month times 36 months will get you $8,100.
A parallelogram<span> is a </span>quadrilateral<span> with opposite </span>sides parallel. A quadrilateral<span> with equal </span>sides<span> is </span>called<span> a </span>rhombus<span>, and a </span>parallelogram<span> whose angles are </span>all<span> right angles is </span>called<span> a rectangle.
Hope this helps :)</span>
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Remark
Yesterday and today make it very dangerous to answer any math question. I'm going to see if I can answer this without the editor throwing up. The method is worked out now that I can see that the bug might have been fixed.
The final answer is y = -(x - 24)^2 + 144
The first thing to do is to complete the square.
y = -(x^2 - 48x ) - 432
y = -(x^2 - 48x + (48/2)^2 ) - 432 + 24^2
y = -(x - 24)^2 + 576 - 432
y = -(x - 24)^2 + 144
The vertex is (24,144)
Explanation
It means that when 24 games are sold, the profit is a maximum 144 dollars. You can convince yourself of that by trying a couple of numbers. Try x = 28. If you sell 28 games the following will happen.
y = -(28 - 24)^2 + 144
y = - 4^2 + 144
y = -16 + 144
y = 128 which is less that 144.
You could also try 20 which will give you the same answer 128
Problem B
What are the x intercepts?
y = -x^2 + 48x - 432
You do not need the quadratic equation for this. It factors.
y = -(x - 12)(x - 36)
when y = 0 then either
x - 12 = 0
x = 12
When x = 12 the profit is 0. He starts to make money at x = 13
or
x - 36 = 0
x = 36
also he his making nothing when x = 36 which seems odd because you would think that the more you sell the more you make, but the quadratic makes this a limiting consideration.
So x<12 loses money
x>36 looses money
12<x<36 is where he makes some money.
