The population of a community is growing at 2% per year and its per capita consumption is growing at 3.5% per year. The community wants the level of impact on the environment to remain unchanged 30 years from now. Using I = Px Ax T, calculate what the impact of technology per unit of consumption will have to be in period 30 [T30] relative to the same now [TO]. Use Xt=X0(1+r) t to project future values, where XO is the present value, Xt is the future value after t years, and r is the growth rate in fraction (e.g., 1% growth rate means r = = 0.01)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The population of a community is growing at
2% per year and its per capita consumption is
growing at 3.5% per year. The community
wants the level of impact on the environment
to remain unchanged 30 years from now.
Using I = P x A x T, calculate what the impact
of technology per unit of consumption will
have to be in period 30 [T30] relative to the
same now [TO].
Use Xt=X0(1+r) t to project future values,
where XO is the present value, Xt is the future
value after t years, and r is the growth rate in
fraction (e.g., 1% growth rate means r = 0.01)
Transcribed Image Text:The population of a community is growing at 2% per year and its per capita consumption is growing at 3.5% per year. The community wants the level of impact on the environment to remain unchanged 30 years from now. Using I = P x A x T, calculate what the impact of technology per unit of consumption will have to be in period 30 [T30] relative to the same now [TO]. Use Xt=X0(1+r) t to project future values, where XO is the present value, Xt is the future value after t years, and r is the growth rate in fraction (e.g., 1% growth rate means r = 0.01)
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