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14-16. A company is introducing a new product to the public through television ads. A model for the number of people N (in thousands) who are aware of the product after t days of advertising is N(t)=12-12e-0.04, 0≤t≤80. 14. Find the number of people who are aware of the product after 1 day. Give the answer rounded to the nearest whole person. (Watch your units, and don't round until after you have applied the units!) 15. Find the number of people who are aware of the product after 10 days. Give the answer rounded to the nearest whole person. (Watch your units, and don't round until after you have applied the units!) 16. Find the number of days until 11,000 people are aware of the product. Careful with units! [11,000 people = (N) thousand people] Round to the nearest whole number. _days

14-16. A company is introducing a new product to the public through television ads. A model for the number of people N (in thousands) who are aware of the product after t days of advertising is N(t)=12-12e-0.04, 0≤t≤80. 14. Find the number of people who are aware of the product after 1 day. Give the answer rounded to the nearest whole person. (Watch your units, and don't round until after you have applied the units!) 15. Find the number of people who are aware of the product after 10 days. Give the answer rounded to the nearest whole person. (Watch your units, and don't round until after you have applied the units!) 16. Find the number of days until 11,000 people are aware of the product. Careful with units! [11,000 people = (N) thousand people] Round to the nearest whole number. _days

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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در 14-16. A company is introducing a new product to the public through television ads. A model for the number of people N (in thousands) who are aware of the product after t days of advertising is N(t)=12-12e-0.04, 0st≤80. 14. Find the number of people who are aware of the product after 1 day. 10 Give the answer rounded to the nearest whole person. (Watch your units, and don't round until after you have applied the units!) 15. Find the number of people who are aware of the product after 10 days. Give the answer rounded to the nearest whole person. (Watch your units, and don't round until after you have applied the units!) ilers) 16. Find the number of days until 11,000 people are aware of the product. (N) thousand people] Careful with units! [11,000 people = Round to the nearest whole number. c) When advertising increases from $1,000 to $2,000, what days ebct on revenue
Transcribed Image Text:در 14-16. A company is introducing a new product to the public through television ads. A model for the number of people N (in thousands) who are aware of the product after t days of advertising is N(t)=12-12e-0.04, 0st≤80. 14. Find the number of people who are aware of the product after 1 day. 10 Give the answer rounded to the nearest whole person. (Watch your units, and don't round until after you have applied the units!) 15. Find the number of people who are aware of the product after 10 days. Give the answer rounded to the nearest whole person. (Watch your units, and don't round until after you have applied the units!) ilers) 16. Find the number of days until 11,000 people are aware of the product. (N) thousand people] Careful with units! [11,000 people = Round to the nearest whole number. c) When advertising increases from $1,000 to $2,000, what days ebct on revenue
Table and paximum ₁. Salmon swim up to 2000 miles upstream to spawn. Scientists have found that the oxygen consumption (c) in units of a yearling salmon is given by the function c(x)=90-e0.7x, where x is the speed that the fish is traveling in feet per second. 6. Find the oxygen consumption of a fish that is not moving. (Hint: x= ft/sec.) 6-8. 8. How fast is a fish swimming when its oxygen consumption is 2700 units? Round to tenths. (of oxygen) 7. Find the oxygen consumption of a fish that is moving at a speed of 2 feet per second. Round to nearest whole unit. 9-11. The number of bacteria present in a certain dish after t hours is given by B(t)=1000e0.4 9. How many bacteria were present at the beginning (at t = 0)? 10. How many bacteria are present after 5 hours? per b) Find the number of units in demand when price is $75. 11. How many hours will it take for the number of bacteria to reach 1,000,000? 13. When is the market at equilibrium? 12-13. A toy has supply equation p=-20+20 ln(x), and demand equation p=190-22 ln(x), 12. a) When the supply is at 200 units, what is the price? At what price? ter 1 units Round to a whole number. Round to a whole number. units and at what number of units? Round tenths. Round to a whole number. Round to a whole number.
Transcribed Image Text:Table and paximum ₁. Salmon swim up to 2000 miles upstream to spawn. Scientists have found that the oxygen consumption (c) in units of a yearling salmon is given by the function c(x)=90-e0.7x, where x is the speed that the fish is traveling in feet per second. 6. Find the oxygen consumption of a fish that is not moving. (Hint: x= ft/sec.) 6-8. 8. How fast is a fish swimming when its oxygen consumption is 2700 units? Round to tenths. (of oxygen) 7. Find the oxygen consumption of a fish that is moving at a speed of 2 feet per second. Round to nearest whole unit. 9-11. The number of bacteria present in a certain dish after t hours is given by B(t)=1000e0.4 9. How many bacteria were present at the beginning (at t = 0)? 10. How many bacteria are present after 5 hours? per b) Find the number of units in demand when price is $75. 11. How many hours will it take for the number of bacteria to reach 1,000,000? 13. When is the market at equilibrium? 12-13. A toy has supply equation p=-20+20 ln(x), and demand equation p=190-22 ln(x), 12. a) When the supply is at 200 units, what is the price? At what price? ter 1 units Round to a whole number. Round to a whole number. units and at what number of units? Round tenths. Round to a whole number. Round to a whole number.
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