Math test help!!!! 50 point question!!!?
Q. The table gives the population of the united states, in millions for the years 1900-1990? YEAR - Population 1900 - 76 1910 - 92 1920 - 106 1930 -123 1940 -131 1950- 150 1960 - 179 1970- 203 1980 - 227 1990 - 250 A. Use the exponential model and the census figures for 1900 and 1910 to find equation, use that to predict the population for 1990. Compare with the actual figure and try to explain the discrepancy. B. Use the exponential model and the census figures for 1970 and 1980 to find an equation, use that to predict the population for 1990.Compare with the actual population. Use this model to predict the population in the years 2000 and 2010.
Asked by Dani - Sun Apr 6 15:34:48 2008 - - 1 Answers - 0 Comments
A. A. The increase of population from1900 to 1910 was 16 mil which is 21.05% increase. Using that as the percentage in the formula, and 76 as the initial population, the equation is: 76 e^.2105t where t is the number of decades past 1900. The discrepency could be a larger percentage increase between 1900 and 1910 than other decades. B. Using 1970 and 1980 gives a different percentage of increase at 11.82%. The equation now changes to: 203 e^.1182t with t = # of decades so the population prediction is 289.4 mil in 2000 and 325.7 mil. in 2010
Answered by Rusty - Sun Apr 6 20:09:12 2008
Q. The table gives the population of the united states, in millions for the years 1900-1990? YEAR - Population 1900 - 76 1910 - 92 1920 - 106 1930 -123 1940 -131 1950- 150 1960 - 179 1970- 203 1980 - 227 1990 - 250 A. Use the exponential model and the census figures for 1900 and 1910 to find equation, use that to predict the population for 1990. Compare with the actual figure and try to explain the discrepancy. B. Use the exponential model and the census figures for 1970 and 1980 to find an equation, use that to predict the population for 1990.Compare with the actual population. Use this model to predict the population in the years 2000 and 2010.
Asked by Dani - Sun Apr 6 15:34:48 2008 - - 1 Answers - 0 Comments
A. A. The increase of population from1900 to 1910 was 16 mil which is 21.05% increase. Using that as the percentage in the formula, and 76 as the initial population, the equation is: 76 e^.2105t where t is the number of decades past 1900. The discrepency could be a larger percentage increase between 1900 and 1910 than other decades. B. Using 1970 and 1980 gives a different percentage of increase at 11.82%. The equation now changes to: 203 e^.1182t with t = # of decades so the population prediction is 289.4 mil in 2000 and 325.7 mil. in 2010
Answered by Rusty - Sun Apr 6 20:09:12 2008
Calculus word problem?
Q. The table gives the population of the United States, in millions, for the years 1900-2000. YearPopulation 190076 191092 1920106 1930123 1940131 1950150 1960179 1970203 1980227 1990250 2000275 (a) Use the exponential model and the census figures for 1900 and 1910 to predict the population in 2000. P(2000) =___million (b) Use the exponential model and the census figures for 1980 and 1990 to predict the population in 2000. P(2000) =___million
Asked by Mlukm - Wed May 20 23:39:25 2009 - - 1 Answers - 0 Comments
A. don't see why this is a calc problem Oo. Exponential model is A = Pe^(rt) P is how much you start with. A is howmuch you end up with. and t is the amount of time passed. So from 1900 to 1910, the amount of time passed is 10 years, and 76 is how much you start with (P) 92 is how much you end with (A) so you have 92 = 76*e^(r*10) Solve this for r. (I'm too lazy.) and then replace that value of r into your equation. Now you have the power to predict what the population will be in 2000. Just use the started population in 1910 as you (A) and leave P as your variable. Use t = 90, (90 years from 1910 to 2000) and the rate you found in the first problem. The only variable you should have left is P, which is your prediction… [cont.]
Answered by unknown - Wed May 20 23:49:03 2009
Q. The table gives the population of the United States, in millions, for the years 1900-2000. YearPopulation 190076 191092 1920106 1930123 1940131 1950150 1960179 1970203 1980227 1990250 2000275 (a) Use the exponential model and the census figures for 1900 and 1910 to predict the population in 2000. P(2000) =___million (b) Use the exponential model and the census figures for 1980 and 1990 to predict the population in 2000. P(2000) =___million
Asked by Mlukm - Wed May 20 23:39:25 2009 - - 1 Answers - 0 Comments
A. don't see why this is a calc problem Oo. Exponential model is A = Pe^(rt) P is how much you start with. A is howmuch you end up with. and t is the amount of time passed. So from 1900 to 1910, the amount of time passed is 10 years, and 76 is how much you start with (P) 92 is how much you end with (A) so you have 92 = 76*e^(r*10) Solve this for r. (I'm too lazy.) and then replace that value of r into your equation. Now you have the power to predict what the population will be in 2000. Just use the started population in 1910 as you (A) and leave P as your variable. Use t = 90, (90 years from 1910 to 2000) and the rate you found in the first problem. The only variable you should have left is P, which is your prediction… [cont.]
Answered by unknown - Wed May 20 23:49:03 2009
another Exponential growth and decay question. Please help me!!?
Q. I don't really know what to do with this. I tried doing the slope of the 2 years given but I don't think that's right. The table gives the population of the United States, in millions, for the years 1900-2000. YearPopulation 190076 191092 1920106 1930123 1940131 1950150 1960179 1970203 1980227 1990250 2000275 (a) Use the exponential model and the census figures for 1900 and 1910 to predict the population in 2000. P(2000) = million (b) Use the exponential model and the census figures for 1980 and 1990 to predict the population in 2000. P(2000) = million
Asked by d_kuon - Thu Nov 6 22:30:37 2008 - - 1 Answers - 0 Comments
A. a) P(1910) = 76 e^10k = 92 k = ln (92/76)/10 So P(2000) = 76 e^100 ln (92/76)/10 = 513.5 b) P(1990) = 227 e^10k = 250 k = ln (250/227)/10 So P(2000) = 227 e^20 ln (250/227)/10 = 275.3
Answered by DANIEL G - Thu Nov 6 23:09:53 2008
Q. I don't really know what to do with this. I tried doing the slope of the 2 years given but I don't think that's right. The table gives the population of the United States, in millions, for the years 1900-2000. YearPopulation 190076 191092 1920106 1930123 1940131 1950150 1960179 1970203 1980227 1990250 2000275 (a) Use the exponential model and the census figures for 1900 and 1910 to predict the population in 2000. P(2000) = million (b) Use the exponential model and the census figures for 1980 and 1990 to predict the population in 2000. P(2000) = million
Asked by d_kuon - Thu Nov 6 22:30:37 2008 - - 1 Answers - 0 Comments
A. a) P(1910) = 76 e^10k = 92 k = ln (92/76)/10 So P(2000) = 76 e^100 ln (92/76)/10 = 513.5 b) P(1990) = 227 e^10k = 250 k = ln (250/227)/10 So P(2000) = 227 e^20 ln (250/227)/10 = 275.3
Answered by DANIEL G - Thu Nov 6 23:09:53 2008
From Yahoo Answer Search: '1940 United States Census'
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