Answer:
The answer is the option D
[tex](\frac{5}{16})[/tex]
Step-by-step explanation:
we have
[tex]f(x)=5(\frac{1}{2})^{x}[/tex]
we know that
To find [tex]f(4)[/tex]
substitute the value of [tex]x=4[/tex] in the function
so
[tex]f(4)=5(\frac{1}{2})^{4}[/tex]
[tex]f(4)=5(\frac{1}{16})[/tex]
[tex]f(4)=(\frac{5}{16})[/tex]