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Aubrey just got hired for a new job and will make in her first year. Aubrey was told that she can expect to get raises of every year going forward. How much money in salary would Aubrey make in her th year working at this job?Answer: $ \(\square\)
Full solution
Q. Aubrey just got hired for a new job and will make in her first year. Aubrey was told that she can expect to get raises of every year going forward. How much money in salary would Aubrey make in her th year working at this job?Answer: $ \(\square\)
- Calculate Raises Over Years: Aubrey's starting salary is , and she gets a raise of every year. To find out her salary in the year, we need to calculate the total amount of raises she will have received by then. Since she gets her first raise at the end of her first year, we need to find the total raises for years.
- Calculate Total Raises: The total amount of raises after years can be calculated by multiplying the annual raise amount by the number of years. So, we calculate \$\(2\),\(000\) \times \(27\)\$.
- Find \(28\)th Year Salary: \(\$2,000 \times 27\) equals \(\$54,000\). This is the total amount of raises Aubrey will have received by the end of her \(27^{\text{th}}\) year.
- Add Raises to Starting Salary: To find Aubrey's salary in her \(28\)th year, we add the total raises to her starting salary. So, we calculate \(\$43,000 + \$54,000\).
- Calculate Final Salary: \(\$43,000\) + \(\$54,000\) equals \(\$97,000\). This is Aubrey's salary in her \(28^{\text{th}}\) year.
