Use a proportion to solve the problem.The prize money in a competition will be divided between the 3rd, 2nd, and 1st place winners as   That is, the second place winner will receive 3 times as much as the third place winner and the first place winner will receive 4 times as much as the third place winner. If the total amount of prize money is  how should the money be divided among the three winners?

A. 3rd place: $914, 2nd place: $2743, 1st place: $3657
B. 3rd place: $1422, 2nd place: $2133, 1st place: $2844
C. 3rd place: $800, 2nd place: $2400, 1st place: $3200
D. 3rd place: $711, 2nd place: $2133, 1st place: $2844


Answer: C

Mathematics

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A.
B. - 
C. - 
D.

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A study on worldwide oil use was prepared for a major oil company. The study predicted that the amount of oil used to fuel productivity in a certain country is given by

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where f (t) denotes the number of barrels per $1,000 of economic output and t is measured in decades ( corresponds to 1965). Compute f '(0) and f ?'(2).
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Round the answer to the nearest hundredth.
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E. ?

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Mathematics