In 2011 a country's federal receipts (money taken in) totaled $2 49 trillion. In 2013, total federal receipts were $2. 66 trillion Assume that the growth of federal receipts, F can be modeled by an exponential function and use 2011 a a) Find the growth rate k to six decimal places, and write the exponential function F(t), for total receipts in trillions of dollars b) Estimate total federal receipts in 2015, c) When will total federal receipts be $12 trillion? a) Find the growth rate k k= (Do not round until the final answer. Then round to six decimal places as needed.) Write the exponential function F(t). F(1) =D b) Estimate total federal receipts in 2015 The total federal receipts in 2015 will be approximately $ trillion. (Use the answer from part (a) to find this answer. Round to two decimal places as needed.) c) When will total federal receipts be $12 trillion? The total federal receipts will be $12 trillion approximately years after 2011 (Use the answer from part (a) to find this answer. Round to one decimal place as needed)

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 33PT: Enter the data from Table 2 into a graphing calculator and graph the ranking scatter plot. Determine...
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In 2011 a country's federal receipts (money taken in) totaled $2.49 trillion. In 2013, total federal receipts were $2.66 trillion. Assume that the growth of federal receipts, F, can be modeled by an exponential function and use 2011 as the base year (t= 0).
a) Find the growth rate k to six decimal places, and write the exponential function F(t), for total receipts in trillions of dollars.
b) Estimate total federal receipts in 2015,
c) When will total federal receipts be $12 trillion?
a) Find the growth rate k.
k =
(Do not round until the final answer. Then round to six decimal places as needed.)
Write the exponential function F(t).
F(t) =|
b) Estimate total federal receipts in 2015.
The total federal receipts in 2015 will be approximately $
(Use the answer from part (a) to find this answer. Round to two decimal places as needed.)
trillion.
c) When will total federal receipts be $12 trillion?
years after 2011..
The total federal receipts will be $12 trillion approximately
(Use the answer from part (a) to find this answer. Round to one decimal place as needed.)
Transcribed Image Text:In 2011 a country's federal receipts (money taken in) totaled $2.49 trillion. In 2013, total federal receipts were $2.66 trillion. Assume that the growth of federal receipts, F, can be modeled by an exponential function and use 2011 as the base year (t= 0). a) Find the growth rate k to six decimal places, and write the exponential function F(t), for total receipts in trillions of dollars. b) Estimate total federal receipts in 2015, c) When will total federal receipts be $12 trillion? a) Find the growth rate k. k = (Do not round until the final answer. Then round to six decimal places as needed.) Write the exponential function F(t). F(t) =| b) Estimate total federal receipts in 2015. The total federal receipts in 2015 will be approximately $ (Use the answer from part (a) to find this answer. Round to two decimal places as needed.) trillion. c) When will total federal receipts be $12 trillion? years after 2011.. The total federal receipts will be $12 trillion approximately (Use the answer from part (a) to find this answer. Round to one decimal place as needed.)
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