The manager of a store determines that the price p (in pesos) for a dress is changing at a rate of -3000x p'(x) = (x² + 9)³/2 per piece where x is the number of pieces demanded by consumers. When the price is 750 pesos, 4 pieces are demanded by consumers. At what price will 10 pieces of the dress be demanded?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.87TI: Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this...
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The manager of a store determines that the price p (in pesos) for a dress is
changing at a rate of
-3000x
p'(x) =
(x² + 9)3/2
per piece where x is the number of pieces demanded by consumers. When the price
is 750 pesos, 4 pieces are demanded by consumers. At what price will 10 pieces of
the dress be demanded?
Transcribed Image Text:The manager of a store determines that the price p (in pesos) for a dress is changing at a rate of -3000x p'(x) = (x² + 9)3/2 per piece where x is the number of pieces demanded by consumers. When the price is 750 pesos, 4 pieces are demanded by consumers. At what price will 10 pieces of the dress be demanded?
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