1. Consider the function f(t) = 250 (0.78)'. a) Use your calculator to approximate f(7) to the nearest hundredth. b) Use graphical techniques to solve the equation f(t)=150. Round solution to the nearest hundredth.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Consider the function f(t) = 250 (0.78)'.
a) Use your calculator to approximate f(7) to the nearest hundredth.
b) Use graphical techniques to solve the equation f(t)=150. Round solution to the nearest hundredth.
2. It is estimated that approximately one-half of all aluminum cans will be recycled each year. Suppose that a
beverage company distributes 500,000 cans. The number of cans still in use after t years is given by the function
N(t)=500,000 (0.52)'. Use this information to answer the questions that follow.
a) How many cans are in use after 0 years?
b) How many cans are still in use after 4 years?
c) Approximately how long will it be until there are less than 60,000 of these cans still in use?
Transcribed Image Text:1. Consider the function f(t) = 250 (0.78)'. a) Use your calculator to approximate f(7) to the nearest hundredth. b) Use graphical techniques to solve the equation f(t)=150. Round solution to the nearest hundredth. 2. It is estimated that approximately one-half of all aluminum cans will be recycled each year. Suppose that a beverage company distributes 500,000 cans. The number of cans still in use after t years is given by the function N(t)=500,000 (0.52)'. Use this information to answer the questions that follow. a) How many cans are in use after 0 years? b) How many cans are still in use after 4 years? c) Approximately how long will it be until there are less than 60,000 of these cans still in use?
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