Suppose that a demand curve exhibits two points. Initially, at price P 0 P0 , the quantity demanded is Q 0 Q0 . When price changes to P 1 P1 , quantity demanded is Q 1 Q1 . Move the components of the midpoint formula for elasticity of demand to their correct positions. price elasticity of demand = ∣ ∣ ∣ ∣ ∣ ( − ( + 2 ) ) ( − ( + 2 ) ) ∣ ∣ ∣ ∣ ∣ price elasticity of demand=|( − ( + 2))( − ( + 2))|

Why does the united states government provide tax breaks related to the amount of money companies spend on research and development? a. to provide incentives for companies to conduct research and development to allow antitrust authorities b. to challenge joint research efforts c. to protect the right of inventors d. to produce and sell their inventions e. to involve less government scrutiny than a government funded project

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.)

Transactions on april 1 of the current year, andrea byrd established a business to manage rental property. she completed the following transactions during april: opened a business bank account with a deposit of $45,000 from personal funds. purchased office supplies on account, $2,000. received cash from fees earned for managing rental property, $8,500. paid rent on office and equipment for the month, $5,000. paid creditors on account, $1,375. billed customers for fees earned for managing rental property, $11,250. paid automobile expenses for month, $840, and miscellaneous expenses, $900. paid office salaries, $3,600. determined that the cost of supplies on hand was $550; therefore, the cost of supplies used was $1,450. withdrew cash for personal use, $2,000. required: 1. indicate the effect of each transaction and the balances after each transaction: for those boxes in which no entry is required, leave the box blank. for those boxes in which you must enter subtractive or negative numbers use a minus sign. (example: -300)