Last year, the total revenue for Home Style, a national restaurant chain, increased 5.25% over the previous year. If this trend were to continue, which expression could the company’s chief financial officer use to approximate their monthly percent increase in revenue? [Let m represent months.]

Monthly percent increase in revenue = 0.4273%.

Step-by-step explanation:

Let m = number of months in time period.

We have that: Annual increase based on annual rate = Annual increase based on monthly rate * 12.

To find the increase in the original amount, we use the formula:

, where n = number of time periods and i = interest rate.  

Therefore,

Ao(1 + ia) = Ao(1 + im)m,

where Ao= original amount, ia = annual interest rate, im = monthly interest rate, na = number of annual time periods, nm = number of monthly time periods.

Divide both sides by Ao

Taking the mth root of both sides

0.4273%

Thus, the monthly revenue increase of Home Style is 0.4273%.

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answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify