Question

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.

Answer 1

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

$1,200\times (1.039)^0 = 1,200$

The price 10 years from today

p(9) is

$1,200\times (1.039)^9$

Now we will solve the above equation

= 1,200 × 1.411041958

= 1693.25035

or

= 1693.25