A=p(1+i/k)^kn
A=5000(1+0.06/2)^2*10
A=9,030.56
One of the most fundamental truths of (Euclidean) geometry is that the ratio of the circumference to the diameter of any circle is a constant, and that constant is called pi (denoted by π π). Let C be the (length of the) circumference of a circle, and let d be its diameter. Then, we must have: C d = π C d = π
A 33 gram sample has k value of .1124
(Actually I think the problem SHOULD be worded: A 33 gram sample has k value of -.1124/days)
See attached graphic:
Half-Life = ln (.5) / k
Half-Life = -.693147 / -.1124/days
Half-Life =
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6.1667882562
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days
Source:
http://www.1728.org/halflif2.htm
I think after the 9th bounce it will lose 90% of its max height
times 40 by 0.9 which will give you 36
then take 36 away from 40 leaving you with 4.
answer = 4ft