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course Mth 173
October 7 2012
Query 4Question 1: Modeling Project#2 #5. 200$init investment at 10%.What are the growth rate and growth factor for this function?How long does it take the principle to double?At what time does the principle first reach $300?
My Solution-The growth rate is about .10 and the growth factor from the Modeling project is 1.10 so the function would be 200 dollar.The points on the graph doesn’t touch the y axis line which is (0,200).For a example to double the principle we could use the number 400 which the initial number would be 200 dollar.While using a trial and error we find that 200 dollars* 1.10^t take about 7 years.To reach 300 dolars from the original price 200 dollar *1.10^t takes a little over 4 years .The amount function reaches 600 dollars in a little over 11.5 so to get 300$to 600$ takes 7 years
Confidence -2
Self-Critique-I had problems with finding the years in the problem
Self-Critique-2; yes
Question 2-At what time t is the principle equal to half its t=20 value-What doubling time is associated with this result?
My solution-It depends on the clocks time which P0*(1+r)^t which is double by the original amount wich would be P0*(1+r)^t=2
Confidence -2
Self-Critique-NO
Self-rating -2
Question 3
Describe how on your graph how you obtained an estimate of the doubling time
My solution-The vertical axis is 10000$ we move the line straight over the graph and straight down the horizontal axis which is the double time
Self Critique-No
Self Rating-2
Confidence-2
Question 4
Write the equation you would solve to determine the doubling time doubling Time starting at t=2 for a 5000 investment at 8%
Confidence-2
Self Rating-2
Self Critique-NO
My answer-By dividing the equation 5000*1.08 ^2*double time .1.08 ^2 *1.08*double time .We divide both sides and get 2
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