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Mr. Kimball receives a $3000 annual salary increase on the anniversary of his hiring if he receives a satisfactory performance review. His starting salary was $41,250. Write an equation to show k, Mr. Kimball's salary after t years at this company if his performance reviews are always satisfactory.

Respuesta :

MrRoyal

Answer:

[tex]Salary = 38250+ 3000t[/tex]

Step-by-step explanation:

[tex]Base\ Salary = \$41,250[/tex]

[tex]Increment = \$3000[/tex]

Required

Determine the salary after t years

This question depicts Arithmetic Progression and will be solved using;

[tex]T_n = a + (n - 1)d[/tex]

Where

[tex]a = 41250[/tex]

[tex]d = 3000[/tex]

[tex]n = t[/tex]

Tn = Salary at t years'

So, we have:

[tex]T_n = a + (n - 1)d[/tex]

[tex]Salary = 41250 + (t - 1) * 3000[/tex]

[tex]Salary = 41250 + 3000t - 3000[/tex]

[tex]Salary = 41250 - 3000+ 3000t[/tex]

[tex]Salary = 38250+ 3000t[/tex]

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