The population of a city is currently 45,000 and is declining at a rate of 2% each year. Give a formula for determining the total population after a period of t years.

The population of a city is currently 45000 and is declining at a rate of 2 each year Give a formula for determining the total population after a period of t ye class=

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Given:

[tex]A_0=45000\text{ ; k=0.02}[/tex][tex]\begin{gathered} A=A_0e^{-kt} \\ A=45000(e)^{-0.02t} \end{gathered}[/tex]