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If the rate of inflation is 2.2% per year, the future price pt (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today.

p(t)=1200(1.039^t)

Find the current price of the item and the price 9 years from today.

Respuesta :

Answer:

1693.25

Explanation:

The computation of the current price of the item and the price 9 years from today is shown below:-

p(t) = 1,200 × (1.039)^t

Now, the current price can be found by putting t = 0

p(0) is

[tex]1,200\times (1.039)^0 = $1,200[/tex]

The price 10 years from today

p(9) is

[tex]1,200\times (1.039)^9[/tex]

Now we will solve the above equation

= 1,200 × 1.411041958

= 1693.25035

or

= 1693.25

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