In 2011 a country's federal receipts (money taken in) totaled $2.45 trillion. In 2013, total federal receipts were $2.93 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 $7 trillion? C..... a) Find the growth rate k k: (Do not round until the final answer. Then round to six decimal places as needed)

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
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In 2011 a country's federal receipts (money taken in) totaled $2.45 trillion. In 2013, total federal receipts were $2.93 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 $7 trillion?
a) Find the growth rate k.
k =
(Do not round until the final answer. Then round to six decimal places as needed)
Transcribed Image Text:In 2011 a country's federal receipts (money taken in) totaled $2.45 trillion. In 2013, total federal receipts were $2.93 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 $7 trillion? a) Find the growth rate k. k = (Do not round until the final answer. Then round to six decimal places as needed)
Expert Solution
Step 1

Given: F2=$2.93 trillion and F0=$2.45 trillion

We know that exponential growth function is given by

Ft=F01+kt                                                                            ..1

Where: k is growth rate

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