Answer:
[tex]f(6)=188.7[/tex] to the nearest tenth
Step-by-step explanation:
The given function is [tex]f(x)=186+5e^{0.1x}[/tex].
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:
[tex]f(6)=186+5e^{0.1(6)}[/tex].
We now evaluate using at least a scientific calculator to obtain:
[tex]f(6)=186+5(0.5488116361)[/tex].
[tex]f(6)=186+2.74405818[/tex].
[tex]f(6)=188.74405818[/tex].
[tex]f(6)=188.7[/tex] to the nearest tenth
