Answer:
The required expression would be [tex](1.0097)^m[/tex]
Explanation:
Let [tex]R_0[/tex] be the initial revenue,
Since, the company's revenue increased by 12.3% over the previous year,
So, the company's revenue after m months
[tex]R = R_0 ( 1 +\frac{12.3}{100})^\frac{m}{12}[/tex]
(∵ 1 year = 12 months)
⇒ [tex]R = R_0 ( 1 +0.123)^\frac{m}{12}[/tex]
⇒ [tex]R = R_0 ( 1.123)^\frac{m}{12}[/tex]
⇒ [tex]R = R_0 ((1.123)^\frac{1}{12})^m[/tex] ( using power of power property of exponent )
⇒ [tex]R = R_0 (1.0097)^m[/tex]
Hence, the required expression would be [tex](1.0097)^m[/tex]
