The amount of foreign earnings​ (in trillions of​ dollars) kept overseas can be approximated by the functionf(x)=0.232(1.29)^x​wherex=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

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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
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Expert Answer

Step 1

Given:

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

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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)
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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)

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Step 3

Taking ln on bot...

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