Answer:
418.6
Step-by-step explanation:
you set the price to equal 300 dollars, so marking up 40% would equal taking 300 x 1.4
this equals 420, however you need to substract 1.4 because you rounded 299 to 300 giving 418.6
we know that
the standard form of the equation of the circle is
where
(h,k) is the center of the circle
r is the radius of the circle
In this problem we have
<u>Convert to standard form</u>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
the center of the circle is 
the radius of the circle is 
therefore
<u>the answer is</u>
the radius of the circle is
So for this, we will be using dimensional analysis to convert it as such:
In short, 8 mL is 0.272 fl oz.
Let the distance of the engineer from the base of the building be x, then
tan 38 = 300/x
x = 300/tan 38 = 300/0.7813 = 383.98
Therefore, the distance from the engineer to the base of the building to the nearest whole foot is 384 feet.
A)
Given: dr/dt = .03 m/s and r = 18 m
Volume of a sphere = (4/3)*PI*r^3
Take the derivative of both sides, so
dv/dt = 4*PI*r^2*dr/dt
Plug in the givens and you have the rate of increase of the volume
B)
Given: V = 288 m^3 and I'm going to assume that r and dr/dt are the same as in part A
Surface Area = 4*PI*r^2
Take the derivative on both sides, so
dA/dt = 8*PI*r*dr/dt
Again, plug in the givens and you'll have the rate of increase in the surface area
C)
This part, it's been awhile since I've done related rates, so it may take me awhile, but perhaps the next person can answer it before I finish.
