[Question]: A big snowstorm caused a large amount of snow to fall onto Grandpa's farm, and the wind caused the snow to pile up into a drift. But on the second day, it warmed up enough that half of the snowdrift melted. The third day, it snowed again, adding another 6 inches of snow onto the snowdrift. On the fourth day, another 18 inches of snow fell onto the snowdrift. If the snowdrift was 34 inches deep at the end of the fourth day, how deep in inches was the drift at the end of the first day?
[Answer]: The third and fourth day contributed 6 + 18 = 24 inches to the depth of the snowdrift. Therefore, the size of the snowdrift after half was melted on the second day, but before the snowfall on the third and fourth day, was 34 - 24 = 10 inches. If the size of the drift on the second day, after half of the snow had melted, was 10 inches, then the depth of the original drift created on day 1 was 2 * 10 = 20 inches deep.
So the answer is 20.

[Question]: Vincent has 72 inches of rope that he wants to use for a project, but he needs to cut it into smaller pieces first. He cuts it into 12 equal length pieces, but then he realizes it's too short, so he ties three pieces together. The knots then make each piece 1 inch shorter. How long are his pieces of rope after all this?
[Answer]: Each small piece is 6 inches because 72 / 12 = 6. Each piece is then 5 inches long after the knots are tied because 6 - 1 = 5. The three pieces tied together are now 15 inches long because 5 x 3 = 15.
So the answer is 15.

[Question]: Joseph invested $1000 into a hedge fund. The fund promised a yearly interest rate of 10%. If he deposited an additional $100 every month into the account to add to his initial investment of $1000, how much money will he have in the fund after two years?
[Answer]:
For the first year, Joseph will have invested $1000 + ($100 * 12) = $2200. The interest calculated for the first year will be $2200 * 10% = $220. The total value of the investment for the first year will be $2200 + $220 = $2420. For the second year, the total invested will be $2420 + ($100 * 12) = $3620. The interest calculated after the second year will be $3620 * 10% = $362. Therefore, Joseph's investment in the mutual fund will be worth $3620 + $362 = $3982.
So the answer is 3982.