In June of 2007, James puts $256 into a savings account and, each month thereaft

Question

In June of 2007, James puts $256 into a savings account and, each month thereafter, plans to deposit only half of what he saved in the previous month. How much will he have deposited into his account by the end of March 200S ? $511.50 $512.50 $611.50 $512.00 $511.75 A rubber ball is dropped from a height of 10 feet and bounces to 3 / 4 its height after each fall. If it continues to bounce until it comes to rest, then the total distance in feet it travels is . 55 70 40 65 35 How many disk moves are required to solve the Towers of Hanoi problem, when there are four disks on the source pegs? 12 7 8 15 16

Explanation / Answer

1) total savings = 256 + 128 + 64 + 32 +16+8+4+2+1+0.5 = 511.5 A. $ 511.5 2) total distance = 10 + 3/4 x 10 x2 + 2 x10 x (3/4)^2 + .......... = 10 + 15/(1-3/4) = 70 b) 70 3) for 4 pegs, disk movings = 2^4 1 = 15 d)15

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