1. The value of a type of new technology decreases by about 40% a year. If a particular model of the tech costs $1,213 this year, how many years will it take until the model is worth only $121? Round to the nearest tenth of a year (one decimal place).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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1. The value of a type of new technology decreases by about 40% a year. If a particular model of the tech costs $1,213 this year, how many years will it take until the model is worth only $121? Round to the nearest tenth of a year (one decimal place).

2. The amount of radioactive tracing material in the bloodstream halves every 2.7 hours (the half-life of the substance). If a patient is injected with 100 micrograms of the substance, how long will it take until only 28 micrograms remain? Round to the nearest tenth of an hour (one decimal place).

3. The population of a city is doubling every 21 years. If the city currently has a population of 20,000, what should the population be after 67 years? Round your answer to the nearest whole person.

 

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