The price of 9-volt batteries is increasing according to the function below, where t is year after January 1, 1980. During what year will the price reach 3 dollars?

p (t) = 1.1*e^0.047t

Question

Mathematics

Darryl Dunn

1 March, 07:44

The price of 9-volt batteries is increasing according to the function below, where t is year after January 1, 1980. During what year will the price reach 3 dollars?

p (t) = 1.1*e^0.047t

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Answers (1)

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India Salas · Answer 1

We are given with the equation p (t) = 1.1*e^0.047t where p represents the price, t represents the time in years. price varies exponentially with time. If p is 3 dollars in the future, then

3 = 1.1*e^0.047t

ln 2.727272 = 0.047 t

t = 21. 35 years or year 2001.

The price of 9-volt batteries is increasing according to the function below, where t is year after January 1, 1980. During what year will the price reach 3 dollars?p (t) = 1.1*e^0.047t

The price of 9-volt batteries is increasing according to the function below, where t is year after January 1, 1980. During what year will the price reach 3 dollars?

p (t) = 1.1*e^0.047t