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In a recent stock market downturn, the value of a $500 stock is decreasing at 1.2% per month. This situation can be modeled by the equation A(t) = 500(0.988)12t, where A(t) is the final amount and t is time in years. Assuming the trend continues, what is the equivalent annual devaluation rate of this stock (rounded to the nearest tenth of a percent) and what is it worth (rounded to the nearest whole dollar) after 1 year?

 Feb 7, 2016
 #1
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  A(t)=  500(.988)^(12t)

 

Just substitute t =1 into the equation

A(t) = 500 (.988)^(12 x 1) = $ 432.57  final value

annual VALUATION is (.988)^(12 x 1) = .865     The DEVALUATION is 1-.865 = 13.5%

 Feb 7, 2016
edited by Guest  Feb 7, 2016
 #2
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So why are you doing school work

 Feb 7, 2016
 #3
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13.5%

 Feb 7, 2016
edited by Guest  Feb 7, 2016
 #4
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432.566954987969067

 Feb 7, 2016

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