algebra II the revenue at a local restaurant increased by 4.2% over the previous year. if this trend continues, which expression shows their?

An increase of 4.2% per year in revenue can be expressed as:

R(year) = 1.042

so, monthly this is (1.042)¹/¹² => 1.003434379

Hence, over m months we can say:

R(m) = (1.00343)ᵐ

:)>

so you're 1st statement means 

R(y) = (1.042)^(y)  

since y = (m/12)  

then 

R(m) = (1.042)^(m/12)   

since that is not  an option we go forward

However, we know that answers "a" and "b" 

are wrong unless you made a typo 

so either  

(1  +  0.00343)^(m/12) =  (1.042)^(m/12) 

(1.00343)^(m/12) = (1.042)^(m/12)  

but that means  1.00343  = 1.042 

but it doesn't  

so by process of elimination 

d. R(m)=(1.00343)^m

is correct 

why is that correct?

take 

(1,042)^(m/12) = (1.042^(1/12))^(m)  

(1.042^(1/12) ) ^m   = (1.00343)^m