Answer:
The equivalent expression is:[tex]40(1.1699)^x[/tex]
Hence, option c is correct.
Step-by-step explanation:
We have been given the function:
[tex]f(x)=40(1.04)^{4x}[/tex]
Using:
[tex]x^{ny}=(x^n)^y[/tex]
Here, n=4 and x=y
[tex]f(x)=40(1.04^4)^x[/tex]
On simplification of [tex]1.04^4=1.1698\approx1.1699[/tex] so we get:
[tex]40(1.1699)^x[/tex]
Therefore, the equivalent expression is:[tex]40(1.1699)^x[/tex]
Hence, option c is correct.
