Respuesta :
Answer:
28 billion dollars
Step-by-step explanation:
The total spent on research and development by the federal government in the United States during 2002–2012 can be approximated by
[tex]S(t) = 3.1 ln t + 22[/tex] billion dollars (2 ≤ t ≤ 12), where t is the year since 2000.
If t=6, that is, In the year 2006,
[tex]S(t) = 3.1 ln 6 + 22[/tex]
[tex]=5.55+22=27.55[/tex]
=28 billion dollars (To the nearest billion dollars)
In 2006, the federal government of the United States spent approximately $28 billion on research and development.
The total spent in 2006 is nearly 28 billion dollars.
Logarithm function :
The total spent on research and development by the federal government in the United States given by function,
[tex]S(t) = 3.1 ln (t) + 22[/tex]
To find total spent in 2006.
We have to substitute [tex]t=6[/tex] in given function.
[tex]S(6)=3.1*ln(6)+22\\\\S(6)=5.55+22=27.55[/tex]
Learn more about the Logarithm function here :
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