Whether the graph of P ( t ) = 310 ( 1.0097 ) t is an increasing or decreasing exponential function where t is time in years since 2010. When approximate initial population is 310 million with 0.97% annual growth rate.
Whether the graph of P ( t ) = 310 ( 1.0097 ) t is an increasing or decreasing exponential function where t is time in years since 2010. When approximate initial population is 310 million with 0.97% annual growth rate.
Solution Summary: The author explains that the graph of P(t) = 310 is an increasing or decreasing exponential function, where t is time in years since 2010.
Whether the graph of P(t)=310(1.0097)t is an increasing or decreasing exponential function where t is time in years since 2010. When approximate initial population is 310 million with 0.97% annual growth rate.
(b)
To determine
To calculate: The value of P(0) and interpret its meaning for population function P(t)=310(1.0097)t, where t is time in years since 2010 when approximate initial population is 310 million with 0.97% annual growth rate.
(c)
To determine
To calculate: The value of P(10) and interpret its meaning for population function P(t)=310(1.0097)t when approximate initial population is 310 million with 0.97% annual growth rate.
(d)
To determine
To calculate: The values of P(20), P(30), and interpret its meaning for population function P(t)=310(1.0097)t when approximate initial population is 310 million with 0.97% annual growth rate.
(e)
To determine
To calculate: The values of P(200) and interpret its meaning for population function P(t)=310(1.0097)t, where t in years since 2010, when approximate initial population is 310 million with 0.97% annual growth rate. Also, determine whether this model can be continue indefinitely.
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Solve the linear system of equations attached using Gaussian elimination (not Gauss-Jordan) and back subsitution.
Remember that:
A matrix is in row echelon form if
Any row that consists only of zeros is at the bottom of the matrix.
The first non-zero entry in each other row is 1. This entry is called aleading 1.
The leading 1 of each row, after the first row, lies to the right of the leading 1 of the previous row.