Suppose the retail price of an automobile is $33,000 in 1999 and that it increases at 6% per year. a. Write the equation of the exponential function, in the form y = a(1 +r)', that models the retail price of the automobile t years after 1999. b. Use the model to predict the retail price of the automobile in 2014. a. Choose the function that models the retail price of the automobile t years after 1999. P(t) = 33,000(0.94)* P(t) = 33,000(1.06)* O P(t) = 33,000(7)* b. According to the model, what is the retail price of the automobile in 2014? (Do not round until the final answer. Then round to the nearest dollar as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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Please provide answer for A and B

No B should be in dollars and round to the  nearest dollar as requested.

Suppose the retail price of an automobile is $33,000 in 1999 and that it increases at 6% per year.
a. Write the equation of the exponential function, in the form y = a(1 + r)', that models the retail price of the automobile t years after 1999.
b. Use the model to predict the retail price of the automobile in 2014.
a. Choose the function that models the retail price of the automobile t years after 1999.
P(t) = 33,000(0.94)
P(t) = 33,000(1.06)
P(t) = 33,000(7)
b. According to the model, what is the retail price of the automobile in 2014?
(Do not round until the final answer. Then round to the nearest dollar as needed.)
Transcribed Image Text:Suppose the retail price of an automobile is $33,000 in 1999 and that it increases at 6% per year. a. Write the equation of the exponential function, in the form y = a(1 + r)', that models the retail price of the automobile t years after 1999. b. Use the model to predict the retail price of the automobile in 2014. a. Choose the function that models the retail price of the automobile t years after 1999. P(t) = 33,000(0.94) P(t) = 33,000(1.06) P(t) = 33,000(7) b. According to the model, what is the retail price of the automobile in 2014? (Do not round until the final answer. Then round to the nearest dollar as needed.)
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