0.85(a + 60) ≤ 85
0.85a + 51 ≤ 85
-51 on both sides
0.85a ≤ 34
/0.85 on both sides
a ≤ 40
Answer:
a ≤ 40
Nancy put new insulation in her attic and discovered that her heating bill for December decreased from $160 to $100. What is the
1 answer:
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Answer:
(a)
(b)
(c)
Step-by-step explanation:
(a) For the demand equation D(q) we have
<em>P1: 138 Q1: 250</em>
<em>P2: 108 Q2: 1000</em>
We can find <u><em>m</em></u>, which is the slope of the demand equation,
and then we find b, which is the point where the curve intersects the y axis.
We can do it by plugging one point and the slope into the line equation form:
<em>With b: 148 and m: -1/25 we can write our demand equation D(q)</em>
(b) to find the supply equation S(q) we have
<em>P1: 102 Q1: 2200</em>
<em>P2: 102 Q2: 700</em>
<em></em>
Similarly we find <em>m</em>, and <em>b</em>
<em>And we can write our Supply equation S(q):</em>
(c) Now we may find the equilibrium quantity q* and the equilibrium price p* by writing <em>D(q)=S(q)</em>, which means the demand <u><em>equals</em></u> the supply in equilibrium:
We plug 1500 as q into any equation, in this case S(q) and we get:
Which is the equilibrium price p*.
Check the picture below.
notice, the gift box is just 6 rectangles stacked up to each other at the edges,
left and right, two rectangles of 32x40
top and bottom, two rectangles of 25x32
front and back, two rectangles of 25x40
so, just get the area of all 6 rectangles, add them up, and that's the "surface area" of the rectangular prism, and that's how much paper will be needed to cover it.
notice, the gift box is just 6 rectangles stacked up to each other at the edges,
left and right, two rectangles of 32x40
top and bottom, two rectangles of 25x32
front and back, two rectangles of 25x40
so, just get the area of all 6 rectangles, add them up, and that's the "surface area" of the rectangular prism, and that's how much paper will be needed to cover it.