According to the projections through the year 2030 the population y of the given state in year x is approximate by state a -4x+y=11,600 state b -145x+y=9,000 where x=0 corresponds to the year 2000 and y is in thousands in what year do the two states have the same population

Acompany that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. prior to buying the new equipment, the company used 6 workers, who produced an average of 79 carts per hour. workers receive $16 per hour, and machine coast was $49 per hour. with the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $11 per hour while output increased by four carts per hour. a) compute the multifactor productivity (mfp) (labor plus equipment) under the prior to buying the new equipment. the mfp (carts/$) = (round to 4 decimal places). b) compute the productivity changes between the prior to and after buying the new equipment. the productivity growth = % (round to 2 decimal places)

What’s the present value of a perpetuity that pays $250 per year if the appropriate interest rate is 5%? $4,750 $5,000 $5,250 $5,513 $5,788what is the present value of the following cash flow stream at a rate of 8.0%, rounded to the nearest dollar? cash flows: today (t = 0) it is $750, after one year (t = 1) it is $2,450, at t = 2 it is $3,175, and at t=3 it is $4,400. draw a time line. $7,917 $8,333 $8,772 $9,233 $9,695

Engberg company installs lawn sod in home yards. the company’s most recent monthly contribution format income statement follows: amount percent of sales sales $ 80,000 100% variable expenses 32,000 40% contribution margin 48,000 60% fixed expenses 38,000 net operating income $ 10,000 required: 1. compute the company’s degree of operating leverage. (round your answer to 1 decimal place.) 2. using the degree of operating leverage, estimate the impact on net operating income of a 5% increase in sales. (do not round intermediate calculations.) 3. construct a new contribution format income statement for the company assuming a 5% increase in sales.