Answer:
None
Step-by-step explanation:
The center of the ellipse is at (2, 4)
The length of the x axis is a= (8-2) =6
The length of the y axis is b=(16-4) = 12
The formula for an ellipse is
(x-h) ^2 (y-k)^2
----------- + -------------- = 1^2
a^2 b^2
where (h,k) is the center
and a and b are the lengths of the major and minor axes
(x-2) ^2 (y-4)^2
----------- + -------------- = 1
6^2 12^2
none of your choices have b>a and for the ellipse to be vertical b>a
its 110.478 if you convert grams to ounces
153:53 is a ratio! Another form of this ratio could be "153 to 53" or "153/53".
The volume of a cylinder is given by πr²h where, r is the radius of the cylinder and <span>h </span>is the height of the cylinder.
Also<span> r=d/2</span> , where d is the diameter of the cylinder.
Therefore if the diameter is halved, the radius also gets halved ,i.e., it becomes r/2. Therefore the new volume =<span> π(r/2)²h</span>
=π(r²/4)h
<span>=(1/4) πr²h</span>
<span>
</span>
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>
