Question
If the rate of inflation is 3.9% per year, the future price p(t) (in dollars) of a cartain item can be modeled by the fo number of years from today. p(t)=2000(1.039)' Find the current price of the item and the price 8 years from today. Round your answers to the nearest dollar as necessary. Current price: Price 8 years from today:
Solution
4.2
(234 Votos)
Luiz
Profissional · Tutor por 6 anos
Resposta
To find the current price of the item, we need to evaluate the function
at
. Plugging in
into the equation
, we get:
Therefore, the current price of the item is
p(t)
t=8
t=8
p(t)=2000(1.039)^t
p(8) = 2000(1.039)^8
p(8) \approx 2000(1.3686) \approx 2737.2
2737.Therefore, the current price of the item is
2737.