During a recession, a firm's revenue declines continuously so that the revenue, R (measured in millions of dollars), in t years' time is given by R = 5e^-0.15t.
Calculate the current revenue and the revenue in two years' time. Round your answers to three decimal places.

Respuesta :

Answer:

Current = $5.000 million.

In two years = $3.704 million

Step-by-step explanation:

The function that describes the revenue, in millions of dollars, is:

[tex]R(t) = 5e^{-0.15t}[/tex]

The current revenue is given at the time t = 0 years. Thus, current revenue is:

[tex]R(0) = 5e^{-0.15*0}=5.000[/tex]

Current revenue is $5.000 million.

In two years time (t = 2 years), the revenue will be:

[tex]R(2) = 5e^{-0.15*2}\\R=3.704[/tex]

In two years time, the revenue will be $3.704 million.

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