Question

In 2011 a​ country's federal receipts​ (money taken​ in) totaled

​$2.072.07 trillion. In​ 2013, total federal receipts were ​$2.932.93 trillion. Assume that the growth of federal​ receipts, F, can be modeled by an exponential function and use 2011 as the base year ​(tequals=​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 $1414 ​trillion?

​a) Find the growth rate 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=

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 $1414 trillion?

The total federal receipts will be $1414 trillion approximately how many years after 2011?

​(Use the answer from part​ (a) to find this answer. Round to one decimal place as​ needed.

Answer 1