Question

The amount of foreign earnings (in trillions of dollars) kept overseas can be approximated by the function f(x) = 0.222(1.11)^x, 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) $1.6 trillion (b) $2.4 trillion (a) The first full year in which the foreign earnings kept overseas exceeds $1.6 trillion is (Type a whole number.) (b) The first full year in which the foreign earnings kept overseas exceeds $2.4 trillion is (Type a whole number.)

          The amount of foreign earnings (in trillions of dollars) kept overseas can be approximated by the function f(x) = 0.222(1.11)^x, 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) $1.6 trillion
(b) $2.4 trillion

(a) The first full year in which the foreign earnings kept overseas exceeds $1.6 trillion is
(Type a whole number.)

(b) The first full year in which the foreign earnings kept overseas exceeds $2.4 trillion is
(Type a whole number.)

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Added by Alberto F.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Supreeta N

03/22/2023

Step 1

(a) We want to find the smallest x for which f(x) > $1.6 trillion. 0.222(1.11)^x > 1.6 (1.11)^x > 1.6/0.222 Now, we can take the logarithm of both sides to solve for x: x * log(1.11) > log(1.6/0.222) x > log(1.6/0.222) / log(1.11) x > 8.97 Since x represents the Show more…

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The amount of foreign earnings (in trillions of dollars) kept overseas can be approximated by the function f(x) = 0.222(1.11)^x, 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) $1.6 trillion (b) $2.4 trillion (a) The first full year in which the foreign earnings kept overseas exceeds $1.6 trillion is (Type a whole number.) (b) The first full year in which the foreign earnings kept overseas exceeds $2.4 trillion is (Type a whole number.)

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