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The cost C of manufacturing a certain product can be

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The cost C of manufacturing a certain product can be [#permalink] New post 12 Nov 2008, 13:36
1. Please solve these questions.
The cost C of manufacturing a certain product can be estimated by the formula C = 0.03rst^2, where r and s are the amounts, in pounds, of the two major ingredients and t is the production time, in hour. If r is increased by 50%, s is increased by 20%, and t is decreased by 3.0%, by approximately what percent will the estimated cost of manufacturing the product change?

2. In a certain deck of cards, each card has a positive integer written on it. In a multiplication game, a child draws a card and multiplies the integer on the card by the next larger integer. If each possible product is between 15 and 200, then the least and greatest integers on the card could be --- (a) 3 and 15 (b) 4 and 13
(c) 4 and 14
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Re: Please help [#permalink] New post 12 Nov 2008, 20:38
dabiralove, You are supposed to start a new topic to post your questions. The place you previously posted this question was a sticky... I am splitting your post and creating a new topic
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Re: Please help [#permalink] New post 12 Nov 2008, 20:55
dabiralove wrote:
1. Please solve these questions.

The cost C of manufacturing a certain product can be estimated by the formula C = 0.03rst^2, where r and s are the amounts, in pounds, of the two major ingredients and t is the production time, in hour. If r is increased by 50%, s is increased by 20%, and t is decreased by 3.0%, by approximately what percent will the estimated cost of manufacturing the product change?


C = 0.03rst^2
C1 = 0.03r (1.5)s(1.2)t (1-0.03)^2 = 0.051rst^2
%change = {(0.051rst^2)/(0.03rst^2)} - 1 = 70%
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Re: Please help [#permalink] New post 12 Nov 2008, 20:59
dabiralove wrote:
2. In a certain deck of cards, each card has a positive integer written on it. In a multiplication game, a child draws a card and multiplies the integer on the card by the next larger integer. If each possible product is between 15 and 200, then the least and greatest integers on the card could be ---

(a) 3 and 15
(b) 4 and 13
(c) 4 and 14



15 < a(a+1) < 200
min: 4 (4+1) = 20
max: 13 (13+1) = 182

so 4 and 13.
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Re: Please help   [#permalink] 12 Nov 2008, 20:59
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