In 2011 a country's federal receipts (money taken in) totaled $2.46 trillion. In 2013, total federal receipts were $2.98 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?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter6: Exponential Functions And Sequences
Section: Chapter Questions
Problem 8CA
icon
Related questions
Question
In 2011 a country's federal receipts (money taken in) totaled $2.46 trillion. In 2013, total federal receipts were $2.98
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?
Transcribed Image Text:In 2011 a country's federal receipts (money taken in) totaled $2.46 trillion. In 2013, total federal receipts were $2.98 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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill