The bank started a new saving account for students on January 10, 2009 using the accumulation function a(t) = 0.05t2 + 1 where t is in years. Paula invested $1000 on January 10, 2009. How much is her investment worth now, on January 10, 2013? Bob invests $1000 now, on January 10, 2013. How much does he expect to accumulate in four years period? Using the accumulation function from the previous problem find effective rates of interest for the following years: 2, 3, 4, 5, and 6.