Question

The amount of foreign earings (in trillions of dollars) kept overseas can be approximated by the function f(x)=0 227(1.12), where x = 5 corresponds to the year 2005 Find the first full year in which the foreign earnings kept overseas exceeds the following amounts (a) $16 trillion (b) $2.6 trillion (a) The first ful year in which the foreign earnings kept overseas exceeds $1.6 trillion is (Type a whole number) (Type a whole number) ement Assig Assign eted Ass Enter your answer in each of the answer boxes

Answer 1

O. Given that amount of foreign earnings is given by fanction, FCX )= 0.227(1-12)* Cin trillion dollars) x=5 represents year 2005 thus x=0 is grepsresented by year 2000 6 let for & years from 2000th year, overseas earning exceeds $1.6 trillion : 1:6--8.227 (4:12)* 1.1.6 (.12)* 0.227 (1.12) * - € 7.0484 l (1-12) = ln 7.0484 taking en both sides, x In 1.12 = ln 7.0484 x=897.23 Rounding to whole arm numbes , t= 18 :x= 18, after 18 years since 2000, ie, in 2018 foreign @ The first fell year in which the foreign earnings kept overseas exceeda $ 1.6 trillion in 2018. lete x years from 2000, overseas earning emceeds $ 2.6 trillian :. 26= 0.227 (1.1234 206 = (5.12)* »11.45 3= 8.12) 0.227 taking en both sides. Is 15.453 = xh (1.12)

x= ln 14.453 1 en 2.12 Ix-23.515 J Roundling to whole number, x=22 :: x=22, after 22 years since 2000.ie, year 2023, the foreign earning exceeds $2.6 trillion, 6 The first fell year in which foreign earning kept Overseas exceede $2.6 tsillich is 2022 -