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