Respuesta :

Answer:

Option (1)

Step-by-step explanation:

Exponential equation that models the increase in the number of books has been given as,

[tex]B=8700e^{0.04t}[/tex]

Here, B = Number of books

t = Number of years

Number of books after t = 3,

[tex]B=8700\times e^{0.04\times 3}[/tex]

   [tex]=8700\times e^{0.12}[/tex]

   = 9809.226

   ≈ 9809

Therefore, Option (1) will be the correct option.

SValore

Answer:

After 3 years, the library will have approximately 9,809 books.

Step-by-step explanation:

If [tex]t[/tex] represents the number of years passed, in the time of 3 years, the library shall have [tex]8700e^{0.04*3} = 8700e^{0.12}[/tex] ≈ [tex]8700*1.12749[/tex] ≈ [tex]9,809[/tex] books.

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