In 2011 a country's federal receipts (money taken in) totaled$2.36trillion. In 2013, total federal receipts were $2.68 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?