(2) The price of a dress is reduced by 20%. When the dress still does not sell, price was then reduced by 10% of the reduced price. If the price of the dress after both reductions is $264, what was the original price? (3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its height (in feet) is given by S(x) : = 60 + 29.4x – 9.8x?, where x is in seconds. Showing all working, determine: (a) How long will it take the projectile reach its maximum height? (b) What is the highest height that the projectile can attain?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(2) The price of a dress is reduced by 20%. When the dress still does not sell, price was then reduced by 10%
of the reduced price. If the price of the dress after both reductions is $264, what was the original price?
(3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet,
its height (in feet) is given by S(x) = 60 + 29.4x – 9.8x², where x is in seconds.
Showing all working, determine:
(a) How long will it take the projectile reach its maximum height?
(b) What is the highest height that the projectile can attain?
Transcribed Image Text:(2) The price of a dress is reduced by 20%. When the dress still does not sell, price was then reduced by 10% of the reduced price. If the price of the dress after both reductions is $264, what was the original price? (3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its height (in feet) is given by S(x) = 60 + 29.4x – 9.8x², where x is in seconds. Showing all working, determine: (a) How long will it take the projectile reach its maximum height? (b) What is the highest height that the projectile can attain?
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