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The amount of foreign earnings (in trillions of dollars) kept overseas can be approximated by the functionf(x)=0.232(1.29)^xwherex=5corresponds to the year 2005. Find the first full year in which the foreign earnings kept overseas exceeds the following amounts. (a) $1.51.5trillion(b) $2.62.6trillion

Question

Asked Nov 7, 2019

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The amount of foreign earnings (in trillions of dollars) kept overseas can be approximated by the function

f(x)=0.232(1.29)^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)

$1.51.5

trillion

(b)

$2.62.6

trillion

Expert Answer

Step 1

Given:

Image Transcription
f(x)0.232(1.29)", where x 5 corresponds to the year 2005.

Step 2

Calculation:

a) Consider the function,
f(x)=0.232(1.29)
The foreign earnings are $1.515 trillion, thus substitute 1.515 for f(x)
1.515 0.232(1.29)
1.515
(1.29)
0.232
6.53 = (1.29) — Image Transcription
a) Consider the function, f(x)=0.232(1.29) The foreign earnings are $1.515 trillion, thus substitute 1.515 for f(x) 1.515 0.232(1.29) 1.515 (1.29) 0.232 6.53 = (1.29)

Step 3

Taking ln on bot...

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