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A quantity with an initial value of 570 grows exponentially at a rate of 35% every 2
decades. what is the value of the quantity after 39 years, to the nearest hundredth?

Respuesta :

facundo3141592

After 39 years, the value of this quantity is 1,023.35

What is the value after 39 years?

Here we know that:

  • The initial value is 570.
  • There is an exponential growth.
  • The rate of growth is 35% for every 2 decades (20 years).

Then the exponential equation is:

[tex]A(t) = 570*(1 + 0.35)^{t/20}[/tex]

Where t is the time in years.

So, after 39 years, the value of this quantity is given by:

[tex]A(39) = 570*(1 + 0.35)^{39/20} = 1,023.35[/tex]

After 39 years, the value of this quantity is 1,023.35

If you want to learn more about exponential equations:

https://brainly.com/question/11832081

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