anonymous
  • anonymous
The population of New York City increased from 7,322,564 in 1990 to 8,008,278 in 2000. The annual rate of population increase for the period was about 0.9%. 1. Write an equation for the population t years after 1990. 2. Use the equation to predict the population of New York City in 2010. Please help me with this!!!!!
Mathematics
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anonymous
  • anonymous
The population of New York City increased from 7,322,564 in 1990 to 8,008,278 in 2000. The annual rate of population increase for the period was about 0.9%. 1. Write an equation for the population t years after 1990. 2. Use the equation to predict the population of New York City in 2010. Please help me with this!!!!!
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
okay so population after t years = population in 1990+ increase in population do you agree with this?
anonymous
  • anonymous
I wish I knew... .
anonymous
  • anonymous
okay tell me this. suppose your dad gave you a hundred stamps to start you off. and after that you started collecting stamps. so after 5 years, number of stamps you have = initial number of stamps(which your dad gave you) + whatever you collected in 5 years do you agree with that?

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anonymous
  • anonymous
sure
anonymous
  • anonymous
okay great! so population of new york after t years = population of new york in 1990+growth in population agreed?
anonymous
  • anonymous
ok
anonymous
  • anonymous
okay so the annual rate of increase of population is 0.9%. so if population was 1000 in 1990, in 1991, the population would be 1000+0.009(1000)
anonymous
  • anonymous
so it would be 1009 in 1991. in 1992, it would be 0.9% of the population of 1991, so population in 1992 = population in 1991+ 0.9% of population in 1991 = 1009+0.009(1009)
anonymous
  • anonymous
and so on.
anonymous
  • anonymous
so this is like compound interest, compounded yearly at rate 0.9%
anonymous
  • anonymous
I hope you know what to do after this.
anonymous
  • anonymous
not a damn clue i was in the hospital fo almost 2 weeks followed bty another 4 weeks of rehab so i missed all of this in school
anonymous
  • anonymous
okay. population after t years = initial population(1+0.009)^t
anonymous
  • anonymous
use that formula and you will get your answer,
anonymous
  • anonymous
thanks
anonymous
  • anonymous
np

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