Here’s an example of how a business report or document can include LaTeX formulas to explain financial metrics, profitability calculations, and other key business formulas. You can use this format to introduce mathematical expressions in a business context.

1. Revenue Growth Calculation

To measure revenue growth, we use the following formula:

\[
\text{Revenue Growth} = \frac{\text{Revenue in Current Period} - \text{Revenue in Previous Period}}{\text{Revenue in Previous Period}} \times 100
\]

Example:

If a company had revenue of $500,000 in the current period and $450,000 in the previous period, the revenue growth is calculated as:

\[
\text{Revenue Growth} = \frac{500,000 - 450,000}{450,000} \times 100 = 11.11\%
\]

2. Break-even Point

The break-even point is where total revenues equal total costs. The formula is:

\[
\text{Break-even Point (Units)} = \frac{\text{Fixed Costs}}{\text{Selling Price per Unit} - \text{Variable Cost per Unit}}
\]

Example:

A company with fixed costs of $100,000, selling price per unit of $50, and variable cost per unit of $30 would calculate the break-even point as:

\[
\text{Break-even Point} = \frac{100,000}{50 - 30} = 5,000 \text{ units}
\]

3. Net Present Value (NPV)

The NPV of an investment is calculated as:

\[
NPV = \sum_{t=1}^{T} \frac{C_t}{(1 + r)^t} - C_0
\]

Where:

\(C_t\) = Cash inflow during period \(t\)

\(r\) = Discount rate

\(C_0\) = Initial investment

\(T\) = Total number of periods

Example:

For an investment with an initial cost of $100,000, cash inflows of $20,000 for the next 6 years, and a discount rate of 8%, the NPV is:

\[
NPV = \sum_{t=1}^{6} \frac{20,000}{(1 + 0.08)^t} - 100,000
\]

4. Return on Investment (ROI)

Return on Investment is calculated as:

\[
ROI = \frac{\text{Net Profit}}{\text{Cost of Investment}} \times 100
\]

Example:

If a project generates a net profit of $25,000 and the cost of investment is $100,000, the ROI is:

\[
ROI = \frac{25,000}{100,000} \times 100 = 25\%
\]