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Peter purchased 14 latest baseball cards for his collection. This increased the size of his collection through 35%. How many baseball cards does Peter now have?
First, you must ?nd out how many baseball cards Peter had originally. Use a proportion to ?nd the original number of baseball cards; part /whole = %/100 the 14 baseball cards that he added to his collection is the part. The whole number of baseball cards is what we are looking for, so call it x.The % is 35 (the percent of increase); 14/x = 35/100. To solve the proportion, cross-multiply; (14)(100) = 35x. Divide both sides by 35 to solve for x; 1,400/35 = 35x /35= 40. The original number of baseball cards was 40, and 14 more were added to the collection for a total of 54 cards.
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The unit circle will be parametrized by (cosw, sinw). Provide a point on it, the region cut out by circle, the x-axis, and the line from the origin to this point has covered area w
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