Question

Aisha just accepted a job at a new company where she will make an annual salary of $53000. Aisha was told that for each year she stays with the company, she will be given a salary raise of $5000. How much would Aisha make as a salary after 6 years working for the company? What would be her salary after t years?

Answer 1

Aisha will make an annual salary of $78,000 after 6 years working for the company. The formula to calculate her salary after t years is S_t = $53,000 + (t-1) $$5,000, where t is the total number of years at the company.

Step-by-step explanation:

Aisha's salary situation is a straightforward arithmetic sequence in mathematics. To calculate Aisha's salary after 6 years, we use the formula for the nth term of an arithmetic sequence:

S_n = S_1 + (n-1)d

Where:

S_n is the salary after n years

S_1 is the initial salary

n is the number of years

d is the annual raise

Substituting the given values:

S_6 = $53,000 + (6-1) $$5,000

S_6 = $53,000 + $25,000

S_6 = $78,000

Aisha will make $78,000 after 6 years.

To find her salary after t years, we use:

S_t = $53,000 + (t-1) $$5,000

This is the general formula representing her salary growth over t years, with t representing any number of years she continues to work at the company.

Answer 2

Answer will be Salary after 6 years : $83,000 Salary after t year : $(53,000+5,000t)
How to work it out
Salary after 6 year: $53,000+$5000x6= $83,000 Salary after t year $53000+$5,000 x t= $53,000+5000 t