1. Let's understand the problem: We want to explore how wages and interest relate, typically in the context of economics or finance. 2. A common formula involving wages and interest is the future value of wages invested at an interest rate, given by: $$FV = W \times (1 + r)^t$$ where $FV$ is the future value, $W$ is the initial wage amount, $r$ is the interest rate per period, and $t$ is the number of periods. 3. Important rules: - Interest rate $r$ should be expressed as a decimal (e.g., 5% as 0.05). - The number of periods $t$ is usually in years or months depending on context. 4. Example: Suppose you earn wages $W=1000$ and invest them at an interest rate $r=0.05$ for $t=3$ years. 5. Calculate the future value: $$FV = 1000 \times (1 + 0.05)^3 = 1000 \times 1.157625 = 1157.63$$ 6. This means after 3 years, your wages invested at 5% interest will grow to 1157.63. 7. This formula helps understand how wages can grow over time with interest. Final answer: The future value of wages invested at interest rate $r$ for $t$ periods is $$FV = W \times (1 + r)^t$$.