A young engineer decides to save $240 per year toward retirement in 40 years. If he invests this sum at the end of every year at 9%, then how much will be accumulated by retirement time? If by astute investing the interest rate could be raised to 12%, then what sum could be saved? If he deposits one fourth of this annual amount each quarter ($60 per quarter) in an interest bearing account earning a nominal annual interest rate of 12%, compounded quarterly, how much could be saved by retirement time? In part (c), then what annual effective interest rate is being earned?

Over the past several years, joyce chen has been able to save regularly. as a result, today she has $54,188 in savings and investments. she wants to establish her own business in 5 years and feels she will need $100,000 to do so. a. if she can earn 6% on her money, how much will her $54,188 in savings/investments be worth in 5 years? will joyce have the $100,000 she needs? if not, how much more money will she need? b. given your answer to part a, how much will joyce have to save each year over the next 5 years to accumulate the additional money? assume she can earn interest at a rate of 6%. c. if joyce can afford to save only $4,000 a year then, given your answer to part a, will she have the $100,000 she needs to start her own business in 5 years?