Reaching a Financial Goal

You need to accumulate $10,000. To do so, you plan to make deposits of $1,000 per year - with the first payment being made a year from today - into a bank account that pays 8.88% annual interest. Your last deposit will be less than $1,000 if less is needed to round out to $10,000. How many years will it take you to reach your $10,000 goal? Round your answer up to the nearest whole number.

(b) How large will the last deposit be? Round your answer to the nearest cent.