3 > 1
(4^0 is one)
3 is greater than 4^0
Pretty simple.
<h3>
Answer: -2w^2 + 25w = 25 or -2w^2 + 25w - 25 = 0</h3>
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Explanation:
Refer to the diagram below. The width is w. We have two opposite and parallel sides equal to this. The other two parallel congruent sides are L = 25-2w meters long. We start with the total amount of fencing, and then subtract off the two width values, so 25-w-w = 25-2w.
The area of the rectangle is
Area = length*width
Area = L*W
Area = (25-2w)*w
Area = 25w - 2w^2
Area = -2w^2 + 25w
Set this equal to the desired area (25 square meters) to get
-2w^2 + 25w = 25
and we can subtract 25 from both sides to get everything on one side
-2w^2 + 25w - 25 = 0
side note: The two approximate solutions of this equation are w = 1.0961 and w = 11.4039 (use the quadratic formula or a graphing calculator to find this)
To convert a fraction to a decimal, divide the numerator by the denominator (divide the top by the bottom)
Answer:
b = 110°
Step-by-step explanation:
The sum of angles in a trapezoid is 360°
Summing the angles we get:
65°+55°+130°=250°
Then subtracting this value from 360° we get:
360°-250°=110°
Final answer of 110°
Answer:
<u>$11,000</u>
Step-by-step explanation:
Let amount invested for 12% yield be <em>p . </em>Amount for 4% yield is therefore (<em>18000-p)</em>
Interest for 12%:<em> 12% of p=0.12p</em>
Interest for 4%: <em>4% of </em>(<em>18000-p)=0.04(18000-p)=720-0.04p</em>
Total interest:
<em>=0.12p</em> + (<em>720-0.04p)</em>
<em>=0.12p-0.04p+720</em>
<em>=0.08p+720</em>
But we already know the total interest is 1280
Therefore: <em>0.08p+720=1280</em>
<em>0.08p=1280-720</em>
<em>0.08p=560</em>
<em>p=560÷0.08</em>
<em>p=7000</em>
Therefore at 4% the person invested:
(<em>18000-p)</em>
<em>18000-7000</em>
<em>$11,000</em>