3 years ago

Let f(x)=186+5e−0.1x . What is f(6) ?

Mathematics

1 answer:

sergiy2304 [10]3 years ago

7 0

Answer:

$f(6)=188.7$ to the nearest tenth

Step-by-step explanation:

The given function is $f(x)=186+5e^{0.1x}$ .

We want to find the value of this function at x=6.

We substitute 6 wherever we see x in the given function to obtain:

$f(6)=186+5e^{0.1(6)}$ .

We now evaluate using at least a scientific calculator to obtain:

$f(6)=186+5(0.5488116361)$ .

$f(6)=186+2.74405818$ .

$f(6)=188.74405818$ .

$f(6)=188.7$ to the nearest tenth

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