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)
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)
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
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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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92d323f0-54a3-49e2-bdfd-d26ed66706b2%2F8dc2ba1e-c126-4ebc-abd3-2a950c6b50d9%2Fzpqhvp_processed.jpeg&w=3840&q=75)
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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