Answer:
30.31%
Step-by-step explanation:
Mark up on selling price is given by markup*100%/selling price
In this case, markup is given as $870 while the selling price is $2870 hence the percentage of narkup to selling price will be given by 
Therefore, the percentage of markup to selling price is approximately 30.31%
Answer: dr/dt = 9/(24pi) cm per minute
9/(24pi) is approximately equal to 0.119366
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Work Shown:
Given info
dS/dt = 18 cm^2/min is the rate of change of the surface area
r = 6 cm is the radius, from the fact that the diameter is 12 cm
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Use the surface area equation given, apply the derivative, plug in the given values and then isolate dr/dt which represents the rate of change for the radius
S = 4*pi*r^2
dS/dt = 2*4*pi*r*dr/dt
dS/dt = 8*pi*r*dr/dt
18 = 8*pi*6*dr/dt
18 = 48*pi*dr/dt
48pi*dr/dt = 18
dr/dt = 18/(48pi)
dr/dt = (9*2)/(24*2pi)
dr/dt = 9/(24pi)
The units are cm per minute, which can be written as cm/min.
We know that
∠X≈∠B
∠Y≈∠C
∠Z≈∠A
XZ≈BA
XZ=12
BA=9
XY≈BC
XY=14
BC=10.5
ZY≈AC
ZY=16
AC=12
the scale factor=12/16-----> 0.75
therefore
the answer is the option D
Answer:
2x > 10 This means that 2 times x has to be bigger than 10 So, 4 times 2 is 8 while 2 times 6 is 12. And 12 is bigger than 10.
Step-by-step explanation:
