The sale price after both markdowns will be $336
<em><u>Explanation</u></em>
The selling price of an item is $600. After 6 months of not selling, it is marked down by 30%
So, the marked down amount after 6 months
and the selling price after first 6 months will be:
After another 6 months of not selling , it is further marked down by 20%. So, the marked down amount now
Thus, the final selling price after all markdowns
Answer:
Step-by-step explanation:
I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:
where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:
and
and integrating:
and using the First Fundamental Theorem of Calculus:
V = π(9(5) - 9(3)) and
V = π(45 - 27) so
V = 18π units cubed or in decimal format,
V = 56.549 units cubed
