Parts a), b), and c) are not directly related. Each part should be solved independently. a) Find the accumulated amount if the principal of $3000 is invested at the interest rate of 5%/year, compounded weekly, for 3 years. (Round your answer to the nearest cent.) b) You wish to invest $3000 in an account so that at the end of 5 years your account has $5000. If interest is compounded monthly, then what must the annual interest rate of the account be? c) You invest a sum of money in an account that pays 8% annual interest, compounded weekly. After 2 years the account has a balance of $3520.10. What was the initial amount invested