A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first. The tax in the first city was 8%, and the tax in the second city was 8.5%. The total hotel tax paid for the two cities was $823.75. How much was the hotel charge in each city before tax?

George kyparisis makes bowling balls in his miami plant. with recent increases in his​ costs, he has a newfound interest in efficiency. george is interested in determining the productivity of his organization. he would like to know if his organization is maintaining the manufacturing average of a​ 3% increase in productivity. he has the following data representing a month from last year and an equivalent month this​ year: last year now cost per input unit units produced 1 comma 2001,200 1 comma 2001,200 labor​ (hours) 300300 275275 ​$1212 per hour resin​ (pounds) 5050 4545 ​$55 per pound capital invested​ ($) 10 comma 00010,000 11 comma 00011,000 22​% per month energy​ (btu) 2 comma 9002,900 2 comma 7502,750 ​$0.600.60 per btu the percent change in productivity for one month last year versus one month this year on a multifactor basis with dollars as the common denominator​ = 3.153.15​% ​(enter your response as a percentage rounded to two decimal​ places).