OpenStax, Prealgebra 2e §10.2 Use Multiplication Properties of Exponents · Exercise 86 · Algebra · Polynomials

Use Multiplication Properties of Exponents · Exercise 86

Salary Raul’s boss gives him a $5 %$ raise every year on his birthday. This means that each year, Raul’s salary is $1.05$ times his last year’s salary. If his original salary was $\$ \text{40},\text{000} $, hi ss a l a r y a f t er$ 1 $y e a r w a s$ $\text{40},\text{000} \left(1.05\right), $a f t er$ 2 $y e a r s w a s$ $\text{40},\text{000} \left(1.05\right)^{2}, $a f t er$ 3 $y e a r s w a s$ $\text{40},\text{000} \left(1.05\right)^{3}, $a ss h o w nin t h e t ab l e b e l o w . W ha tw i l l R a u l ’ ss a l a r y b e a f t er$ 10$ years? Simplify the expression, to show Raul’s salary in dollars.

$\begin{array}{|c|c|}\hline \text{Year} & \text{Salary} \\ \hline 1 & \\text{text40,text000 left(1.05right)$} \\ \hline 2 & \\text{text40,text000 left(1.05right)^2$} \\ \hline 3 & \\text{text40,text000 left(1.05right)^3$} \\ \hline \ldots & \ldots \\ \hline 10 &? \\ \hline\end{array}$

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OpenStax, Prealgebra 2e · §10.2 Use Multiplication Properties of Exponents · Exercise 86

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