High School

In 1950, the U.S. federal budget was $39.4 billion, and in 2000, the federal budget was $2025.2 billion. The exponential function is [tex]f = 39.4 \cdot Be^{0.0787932i}[/tex]. Use your function to estimate the budget in 2010.

Answer :

Answer:

The budget in 2010 is $4453.10915 billion

Step-by-step explanation:

We are given exponential function as

[tex]f(t)=39.4e^{0.0787932t}[/tex]

where t is the time in years since 1950

now, we can find time in 2010

t=2010-1950=60

now, we can plug t=60

and we get

[tex]f(60)=39.4e^{0.0787932\times 60}[/tex]

we get

[tex]f(60)=4453.10915[/tex]

So, the budget in 2010 is $4453.10915 billion

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