Q14,15,19

Annual deposits of $4000 are made into an account paying 7% interest per year, compounded continuously. What is the balance in the account right after and right before the 5th deposit? Round your answers to two decimal places. Right after the 5dh deposit the balance is $ Right before the 5th deposit the balance is $ An annuity makes annual payments of $53,000, starting now, from an account paying 3.45% interest per year, compounded annually. Round your answers to two decimal places. (a) Find the present value of the annuity if it makes ten payments. Present value of annuity =$ (b) Find the present value of the annuity if it makes payments in perpetuity. Present value of annuity =$ In 2012, the Bureau of Engraving and Printing produced an average of about 4.3 million new $1 bills a day; worn bills are removed by Federal Reserve banks. There are about 12.7 billion dollar bills currently in circulation. Assuming that a fixed percentage of $1 bills are removed from circulation each day, use a geometric series to estimate this percentage. 1 Round your answer to two decimal places. %