Suppose a recent college graduate's first job allows her to deposit $250 at the end of each month in a savings plan that earns 9%, compounded monthly. This savings plan continues for 14 years before new obligations make it impossible to continue. If the accrued amount remains in the plan for the next 15 years without deposits or withdrawals, how much money will be in the account 29 years after the plan began? (Round your answer to the nearest cent.)

A small business owner contributes $4,000 at the end of each quarter to a retirement account that earns 10% compounded quarterly.

(a) How long will it be until the account is worth at least $150,000? (Round your answer UP to the nearest quarter.) quarters (b) Suppose when the account reaches $150,000, the business owner increases the contributions to $6,000 at the end of each quarter. What will the total value of the account be after 15 more years? (Round your answer to the nearest dollar.)