Let's calculate the salary with a 6% raise per year for the given years. Starting salary is $76,000, and a 6% raise means the salary increases by $76,000 \times 0.06$ each year, compounded.

Formula for salary after $t$ years with percentage raise:

$S_t = S_0 \cdot (1 + r)^t$ Where:

• $S_t$ = Salary after $t$ years
• $S_0 = 76,000$ (starting salary)
• $r = 0.06$ (6% annual raise)

Calculations:

1. Year 1: $S_1 = 76,000 \cdot (1 + 0.06)^1 = 76,000 \cdot 1.06 = 80,560$

2. Year 5: $S_5 = 76,000 \cdot (1 + 0.06)^5 = 76,000 \cdot 1.3382256 \approx 101,707$

3. Year 10: $S_{10} = 76,000 \cdot (1 + 0.06)^{10} = 76,000 \cdot 1.790847 \approx 136,103$

4. Year 15: $S_{15} = 76,000 \cdot (1 + 0.06)^{15} = 76,000 \cdot 2.396558 \approx 182,540$

5. Year 20: $S_{20} = 76,000 \cdot (1 + 0.06)^{20} = 76,000 \cdot 3.207135 \approx 243,742$

Final Table:

Do you want more detailed calculations or further insights?
Here are 5 relative questions to deepen understanding:

1. How does the compounding effect of percentage increases compare to linear raises?
2. Which raise structure benefits Carlos more after 10 years?
3. How does inflation impact the value of these raises?
4. Can we graph these two salary trajectories over 20 years?
5. How would changing the percentage raise (e.g., to 5% or 7%) alter the outcomes?

Tip: Compound raises grow exponentially, meaning the percentage-based option often outpaces fixed raises over longer time periods.