Joni is considering job offers from two companies. Company A offered her a start
ID: 3014369 • Letter: J
Question
Joni is considering job offers from two companies. Company A offered her a starting salary of $64, 620 with a 4.1% raise at the end of each year. Company B offered her a starting salary of $57, 800 with a raise of $2500 at the end of each year. What is the ratio of Joni's salary one year compared to her salary in the previous year for Company A? If Joni works for Company A, her salary for any year is % of her salary from the previous year. Define a function, f, that expresses Joni's varying salary at Company A in terms of the varying number of years, n, since she accepted the position. Syntax error: this is not a equation Define a function, g, that expresses Joni's varying salary at Company B in terms of the varying number of years, n, since she accepted the position. syntax error: this is not a equation Determine Joni's projected salary at each company after working for 3 years. Joni's salary at Company A after 3 years: Joni's salary at Company B after 3 years: Use function notation to represent the change in Joni's projected salary at Company A as the number of years she works increases from 4 to 6.Explanation / Answer
a) 1.041
b) for company A, her raise is 4.1% each year.
her new salary will be 104.1% of her old salary each year.
she starts at 64620.
she gets a raise of 4.1%
4.1% / 100% = 0.041
0.041 * 64620 = a raise of 2649.42
64620 + 2649.42 = 67269.42
67269.42/64620 = 1.041 * 100% = a percent of 104.1%
c) f(n) = $64620 + $2649.42*n where n is the number of complete years she has worked for the company.
d) At Company B, salary is g(n)= $57,800 +$2500*n, where n is the number of complete years she has worked for the company.
e) At company A ====> Salary = 64620 + 2649.42*3 = $72568.26
At company B ====> Salary = 57800 + 2500*3 = $65300
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