Waterway Industries is constructing a building. Construction began on January 1 and was completed on December 31. Expenditures were $6400000 on March 1, $5250000 on June 1, and $8650000 on December 31. Waterway Industries borrowed $3200000 on January 1 on a 5-year, 11% note to help finance construction of the building. In addition, the company had outstanding all year a 9%, 3-year, $6440000 note payable and an 10%, 4-year, $12550000 note payable. Required:
What are the weighted-average accumulated expenditures?

Chip wilson has hired goldman sachs, an investment banking company, to assist him with a hostile takeover of lululemon. wilson's goal is to hire a new board of directors because he believes there is a need for a more long-term focus. goldman sachs is a proven firm at making a profit in every move that they make. if the hostile takeover does not pan out, what could be another motive for investors?

Required prepare the necessary adjusting entries in the general journal as of december 31, assuming the following: on september 1, the company entered into a prepaid equipment maintenance contract. birch company paid $3,400 to cover maintenance service for six months, beginning september 1. the payment was debited to prepaid maintenance. supplies on hand at december 31 are $3,900. unearned commission fees at december 31 are $7,000. commission fees earned but not yet billed at december 31 are $3,500. (note: debit fees receivable.) birch company's lease calls for rent of $1,600 per month payable on the first of each month, plus an annual amount equal to 1% of annual commissions earned. this additional rent is payable on january 10 of the following year. (note: be sure to use the adjusted amount of commissions earned in computing the additional rent.)

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.