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Jane earns $36,000 in salary in the first year she works asan interpreter. Each year, she earnsa 4.5% percent raise. Write a function that gives Jane'ssalary in dollars, years after she starts to work as aninterpreter.

Respuesta :

Solution:

Given:

[tex]\begin{gathered} P=\text{ \$}36000 \\ r=4.5\text{ \%}=\frac{4.5}{100}=0.045 \\ t=number\text{ of years} \end{gathered}[/tex]

The function that gives Jane's salary in dollars can be modeled using the compound interest formula;

[tex]\begin{gathered} A=P(1+r)^t \\ \\ where: \\ A\text{ is the amount at the end of every year} \end{gathered}[/tex]

[tex]\begin{gathered} A=36000(1+0.045)^t \\ A=36000(1.045)^t \end{gathered}[/tex]

Therefore,

[tex]A=36000(1.045)^t[/tex]

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