Analysis reveals that a company had a net increase in cash of $22.420 for the current year. Net cash provided by operating activities was $20,200, net
cash used in investing activities was $11,100 and net cash provided by financing activities was $13,320. If the year-end cash balance is $27,300, the
beginning cash balance was:

You are thinking of making your mansion more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs, and insulating part or all of your exterior walls. each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.† your mansion has 150 light fittings and 3000 sq ft of uninsulated exterior wall. to impress your friends, you would like to spend as much as possible, but save no more than $750 per year in energy costs (you are proud of your large utility bills). how many compact fluorescent light bulbs and how many square feet of insulation should you purchase? how much will you save in energy costs per year? (if an answer does not exist, enter dne.)

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.

Digitalhealth electronics inc. is a company that builds diagnostic devices. it was the first company to develop a compact mri scanner by reconfiguring the components of the mri technology. this smaller and user-friendly version of the huge mri scanner created demand from small hospitals, nursing homes, and private practice doctors who were earlier dependent on the scanning machines in large hospitals. which of the following types of innovations does this scenario best illustrate? a. disruptive innovation b. incremental innovation c. radical innovation d. architectural innovation