Question

1. Thomas is saving for his retirement by making deposits each year in his 401(k) plan. As his salary increases, he plans to deposit more money into the account. He started the deposit from the year of 2000, when he was 22 years old. Until 2013 the annual amounts that he deposited was given by the function D(t) - 4500 + 17, where t represents the year of the deposit measured from the start of the plan. a) Find D(15). What does D(15) represent? Please include the specific year in the interpretation to receive full credit. b) If his deposits continue to be models by D, in what age of him will he deposit more than $ 40,000 in the 401(k) account? (Ignore the inflation rate and his company's contribution) 2. Sue is hired by an accounting firm at a salary of $68,000 per year. Five years late her salary has increased to $100,500 with the effort of obtaining a CPA license. Assume her salary increase linearly. 1) Find an equation that models the relationship of her annual salary and the number of years that she work for the firm 2) What is the slope mean in her situation?

Answer 1

a) D() = 4500 + A+ D(15)= 4500 + 17(15)2 = 8325 which means in year 2015 he deposit 83259 o] PCU) > 40000 4500 + 17+? > 40000 2 17 to> 350500 2 t > 2088 235 t> 45-69 t> ~46 after r6 year means atage 22+46 = 68 years his items depasit is more than 40000 2 - 6500 at t;=0 S, = 68000 =C at t₂5 Sz=100 500 m = SI-S2 ti-tz linear function model as s=mt to S = 6500t + 68000 tis in years and s Is Salary in this situation slope means increment in Salary per year CScanned with CamScanner