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The population of a suburb is 4000 people. The population of the suburb

is expected to double each decade. The expression 4000 • 2d models the

population of the suburb after each decade d.


Please Answer: Evaluate the expression for

d = –2.


Sagot :

Answer:

1000

Step-by-step explanation:

The population of the suburb after each decade d is given by the equation as follows :

[tex]P=4000\times 2^d[/tex]

We need to evaluate the expression for d = -2.

Put d = -2 in the above equation. So,

[tex]P=4000\times 2^{-2}\\\\=4000\times \dfrac{1}{2^2}\\\\=4000\times \dfrac{1}{4}\\\\=1000[/tex]

So, if d = -2, then the population of the suburb is equal to 1000.