A woman turns 30 today and wishes to withdrawal a perpetuity of $1000 at the beginning of each month starting on her 65th birthday. Starting today, she makes monthly contributions of X to a fund. The last contribution is one month before her 65th birthday. The fund earns a nominal rate of 8% compounded monthly during contribution period and 5% compounded monthly during withdrawal period. Calculate X.

On january 1 of the current year, jimmy's sandwich company reported owner's capital totaling $128,000. during the current year, total revenues were $106,000 while total expenses were $95,500. also, during the current year jimmy withdrew $30,000 from the company. no other changes in equity occurred during the year. if, on december 31 of the current year, total assets are $206,000, the change in owner's capital during the year was: