Phyllis invested $10,000, a portion earning a simple interest rate of 8 1 2 % per year and the rest earning a rate of 8% per year. after one year the total interest earned on these investments was $842.50. how much money did she invest at each rate?

Acar manufacturer uses new machines that automatically assemble an engine from parts fed to the system. the machine can regulate the speed ofassembly depending on the number of parts produced. which type of technology does this machine use? angenoem mense wat ons in matin en esta va ser elthe machine uses

Areal estate agent is considering changing her cell phone plan. there are three plans to choose from, all of which involve a monthly service charge of $20. plan a has a cost of $.42 a minute for daytime calls and $.17 a minute for evening calls. plan b has a charge of $.52 a minute for daytime calls and $.15 a minute for evening calls. plan c has a flat rate of $80 with 275 minutes of calls allowed per month and a charge of $.38 per minute beyond that, day or evening. a. determine the total charge under each plan for this case: 150 minutes of day calls and 70 minutes of evening calls in a month. (do not round intermediate calculations. round your answer to 2 decimal places. omit the "$" sign in your response.)c. if the agent will use the service for daytime calls, over what range of call minutes will each plan be optimal? (round each answer to the nearest whole number. include the indifference point itself in each answer.)d. suppose that the agent expects both daytime and evening calls. at what point (i. e., percentage of total call minutes used for daytime calls) would she be indifferent between plans a and b?

For the year ended december 31, a company has revenues of $323,000 and expenses of $199,000. the company paid $52,400 in dividends during the year. the balance in the retained earnings account before closing is $87,000. which of the following entries would be used to close the dividends account?