Solve the problem.In 1990 the world reserves of aluminum ore stood at 75,000,000,000 tons. World use of aluminum that year was 100,000,000 tons, and the demand was growing exponentially at 10% per year. Assuming this growth rate continues, and no new deposits of ore are discovered, in what year will the world reserves of aluminum ore be exhausted?

A. 2058
B. 2079
C. 2033
D. 2110


Answer: C

Mathematics

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At the given point, find the slope of the curve, the line that is tangent to the curve, or the line that is normal to the curve, as requested.4x2y - ? cos y = 5?, slope at (1, ?)

A. - 
B. -2?
C. 0
D. ?

Mathematics

Add.5,72914633

A. 10,423 B. 11,413 C. 10,513 D. 11,523

Mathematics

Solve the problem.Suppose that an open box is to be made from a square sheet of cardboard by cutting out  squares from each corner as shown and then folding along the dotted lines. If the box is to have a volume of 150 cubic inches, find the original dimensions of the sheet of cardboard. 

A.  in. by  in.
B. 5 in. by 5 in.
C. 5 in. by 5 in.
D. 17 in. by 17 in.

Mathematics

Solve the problem.A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 2 feet longer than the length of a shelf. If 22 feet of lumber is available for the entire unit (including the shelves, but NOT the back of the bookcase), find the length and height of the unit.

A. length: 10.0 ft; height: 13.5 ft B. length: 3 ft; height: 5 ft C. length: 3 ft; height: 6 ft D. length: 4.5 ft; height: 6.5 ft

Mathematics