Suppose your annual starting salary is $59,942. After working for a few years, you start to get yearly raises. If you get a 0.9% raise a total of 4 times and then a 1.8% raise a total of 7 times, what is your salary after all the raises? 

To find the final salary after receiving a series of raises, we'll apply the following steps:

### Initial salary: $59,942.

1. **First, apply the 0.9% raise 4 times:**
   Each time you get a raise of 0.9%, your new salary becomes:
   
   \[
   \text{New Salary} = \text{Current Salary} \times (1 + 0.009)
   \]
   After 4 raises of 0.9%, your salary becomes:
   
   \[
   S_1 = 59,942 \times (1 + 0.009)^4
   \]

2. **Next, apply the 1.8% raise 7 times:**
   After the 0.9% raises, we apply a 1.8% raise. The formula for each raise becomes:
   
   \[
   \text{New Salary} = \text{Current Salary} \times (1 + 0.018)
   \]
   After 7 raises of 1.8%, your salary becomes:
   
   \[
   S_{\text{final}} = S_1 \times (1 + 0.018)^7
   \]

Let's calculate the final salary.After applying 4 raises of 0.9% and 7 raises of 1.8%, your final salary would be approximately **$70,393.14**.

Would you like further details or have any questions?

Here are five related questions:
1. How would the final salary change if the raises were applied in reverse order?
2. What would be the salary after just the 4 raises of 0.9%?
3. How much more would you earn annually after 5 years if your starting raise was 1.8% instead of 0.9%?
4. What is the total percentage increase in salary after all the raises?
5. How long would it take to double your salary if you continue receiving 1.8% raises?

**Tip:** Compound interest (or compound growth) is powerful over time, even small percentages can make a big difference with repeated application.

Suppose your annual starting salary is $59,942. After working for a few years, you start to get yearly raises. If you get a 0.9% raise a total of 4 times and then a 1.8% raise a total of 7 times, what is your salary after all the raises?

Discover how to calculate the final salary starting from $59,942 after receiving four 0.9% raises and seven 1.8% raises. This problem demonstrates the application of compound interest and exponential growth concepts, suitable for students in Grades 9-12.

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