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Answer to Q120

The three volumes of a book sit in chronical order on a shelf. Each is 1¼ inches thick, comprising an inch of pages and ⅛ inch for each cover. A bookworm bores from page 1, volume I, to the last page of volume III. How far does it travel?

Ok see the first diagram in the attached picture, do you agree? Putting a book on the shelf, the first page will be on your right and the last page on your left. Good!

Now the books were arranged in chronological order (second diagram). The bookworm bores from page 1 of volume I to last page of volume III. You will agree with me that the last page of Volume III will be the first page the bookworm encounters in Volume III (remember last page is on the left and first page is on the right).

So what we are to find is X (from the second diagram).

X becomes:
= One cover of Volume I + whole book of Volume II + one cover of Volume III
= ⅛ inches + 1¼ inches + ⅛ inches
= 1½ inches

Answer: 1½ inches

Pardon the freehand diagram, I am not a graphic designer 🙈



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Answer to Q120

The three volumes of a book sit in chronical order on a shelf. Each is 1¼ inches thick, comprising an inch of pages and ⅛ inch for each cover. A bookworm bores from page 1, volume I, to the last page of volume III. How far does it travel?

Ok see the first diagram in the attached picture, do you agree? Putting a book on the shelf, the first page will be on your right and the last page on your left. Good!

Now the books were arranged in chronological order (second diagram). The bookworm bores from page 1 of volume I to last page of volume III. You will agree with me that the last page of Volume III will be the first page the bookworm encounters in Volume III (remember last page is on the left and first page is on the right).

So what we are to find is X (from the second diagram).

X becomes:
= One cover of Volume I + whole book of Volume II + one cover of Volume III
= ⅛ inches + 1¼ inches + ⅛ inches
= 1½ inches

Answer: 1½ inches

Pardon the freehand diagram, I am not a graphic designer 🙈

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Should You Buy Bitcoin?

In general, many financial experts support their clients’ desire to buy cryptocurrency, but they don’t recommend it unless clients express interest. “The biggest concern for us is if someone wants to invest in crypto and the investment they choose doesn’t do well, and then all of a sudden they can’t send their kids to college,” says Ian Harvey, a certified financial planner (CFP) in New York City. “Then it wasn’t worth the risk.” The speculative nature of cryptocurrency leads some planners to recommend it for clients’ “side” investments. “Some call it a Vegas account,” says Scott Hammel, a CFP in Dallas. “Let’s keep this away from our real long-term perspective, make sure it doesn’t become too large a portion of your portfolio.” In a very real sense, Bitcoin is like a single stock, and advisors wouldn’t recommend putting a sizable part of your portfolio into any one company. At most, planners suggest putting no more than 1% to 10% into Bitcoin if you’re passionate about it. “If it was one stock, you would never allocate any significant portion of your portfolio to it,” Hammel says.

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