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The value of a rare painting has increased each year since it was found at a garage sale. The value of the painting is modeled by the function f(x) = 799(1.03)x. What does the 799 represent? What will the painting be worth after 5 years? Round your answer to the nearest dollar. 799 represents the value of the painting when it was found; the painting will be worth $926 after 5 years 799 represents the increase in the value of the painting; the painting will be worth $103 after 5 years 799 represents the value of the painting when it was found; the painting will be worth $804 after 5 years 799 represents the total value of the painting; the painting will be worth $926 after 5 years

Respuesta :

   799 represents the value of painting when it was found and painting will worth $726 after 5 years.

 A function representing the final value with exponential growth of r% after time 'x' is given by,

[tex]f(x)=A(1+\frac{r}{100})^x[/tex]

Where, A = Initial quantity

Function modeling the worth of paining after 'x' years has been given as,

f(x) = 799(1.03)ˣ

Here, 799 represents the value of the painting when it was found.

For x = 5 years,

[tex]f(5)=799(1+\frac{3}{100})^5[/tex]

       [tex]=799(1.03)^5[/tex]

       [tex]=926.26[/tex]

       ≈ $926

  Therefore, 799 represents the value of painting when it was found and the painting will be worth $926 after 5 years.

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Answer:

799 represents the value of the painting when it was found; the painting will be worth $926 after 5 years

Step-by-step explanation:

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