Wednesday, January 6, 2010

Trying to figure out growth rate for calc?

The question is If the population had continued growing at its 1920 growth rate for the rest of the century, what would the population have been at the start of the year 2000?


In 1920 there were 30 million people. I figured out that the growth rate is .692 millions per year. Sorry if this question is confusing!Trying to figure out growth rate for calc?
let N denote the # of people livinging the country at year 1920, and let N1 denote the number of people initially living in the country. Then,


dN/dt - kN=0 which has the solution N=ce^kt, at t=0, N=N1; hence it follows from that N1=ce^k(0), or that c=N1. Thus the solution becomes


N=N1e^kt, at t=80years (2000-1920) N=80N1. Substituting these values we get 80N1=N1e^80k from which the growth rate k=ln80/80 =.0548 Trying to figure out growth rate for calc?
rite well im not sure if this is right but here goes:





2000


-1920=80





da growth rate was 692m per year so


692x80=55360





the total population would be 55360+30=55390





there you go theres your answer!!!!!

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