7. (a) If land that can be farmed L is eroding continuously at a rate of 4.5% per year becauseof changing climatic conditions, how much of this land will be left after 25 years?(b) A piece of art currently worth $2500 is appreciating in value 'V' according to theformula:2500et0.5However, assuming continuous discounting, the present value of V is given by:P = Vert=How long should the piece of art by kept to maximise its present value under continuouscompounding with:(i) r = 0.05(ii) r = 0.09

“Since you have asked multiple questions (a and b are not related to each other), we will solve the…

Answered: If land that can be farmed L is eroding…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
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The analysis of tooth shrinkage by C. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is con-tinuing to decrease and that the evolutionary process has not yet come to a halt. In northern Europeans, for example, tooth size reduction now has a rate of 1% per 1000 years. a. If t represents time in years and y represents tooth size, use the condition that y = 0.99y0 when t = 1000 to find the value of k in the equation y = y0 ekt. Then use this value of k to answer the following questions. b. In about how many years will human teeth be 90% of their present size? c. What will be our descendants’ tooth size 20,000 years from now (as a percentage of our present tooth size)?
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If land that can be farmed L is eroding continuously at a rate of 4.5% per year because of changing climatic conditions, how much of this land will be left after 25 years?