On July 1,2001 , a savings account has $1000. This account earns interest at an annual rate of 1.5% compounded continuously. A competing bank is attempting to attract new customers by offering to add $25 immediately to any new account opened with a minimum $1000 deposit, and the new account would earn interest at the annual rate of 1.5% compounded semiannually. To choose one of the following three options on July 1,2001 , find the accumulated amount on July 1 , 2003, for each option in parts (a) through (c) below. (a) Leave the money at the first bank. The accumulated amount is $ (Do not round until the final answer. Then round to the nearest cent as needed.) Find the present value of $3000 payable at the end of 3 years, if money may be invested at 3% with interest compounded continuously. The present value of $3000 is $ (Round to the nearest cent as needed.) A bank account pays 5.8% annual interest, compounded monthly. How much must be deposited now so that the account contains exactly $16,000 at the end of three years? $ must be deposited now so that the account contains exactly $16,000 at the end of three years. (Do not round until the final answer. Then round to the nearest cent as needed.) A zero-coupon bond is a bond that is sold for less than its face value (that is, it is discounted) and has no periodic interest payments. Instead, the bond is redeemed for its face value at maturity. Thus, in this sense, interest is paid at maturity. Suppose that a zero-coupon bond sells for $8,700 and can be redeemed in 20 -years for its face value of $43,000. What is the annual compound rate of return