Electric Charges For the nonextreme weathermonths, Palmetto Electric charges $7.10 plus 6.747cents per kilowatt-hour (kWh) for customers usingup to 1200 kWh, and charges $88.06 plus 5.788 centsper kWh above 1200 for customers using more than1200 kWh.a. Write the function that gives the monthly chargein dollars as a function of the kilowatt-hours used.b. What is the monthly charge if 960 kWh are used?c. What is the monthly charge if 1580 kWh are used?

The total cost C for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a formula for the total cost, we need to know the manufacturer's fixed costs (covering things such as plant maintenance and insurance), as well as the cost for each unit produced, which is called the variable cost. To find the total cost, we multiply the variable cost by the number of items produced during that period and then add the fixed costs.The total revenue R for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a formula for the total revenue, we need to know the selling price per unit of the item. To find the total revenue, we multiply this selling price by the number of items produced.The profit P for a manufacturer is the total revenue minus the total cost. If this number is positive, then the manufacturer turns a profit, whereas if this number is negative, then…

4. A radioactive sample with an initial mass of 85mg has a half-life of 10 days A.write a function to relate the amount remaining A, in milligrams, to the time,t, in days? B. what amount of radioactive sample will remain after 20 days? round to the nearest hundredth of a unit. C.what amount of radioactive a sample was there 30daysago? Round to the nearest hundredth of the unit. D. how long, to the nearest day, will it take for there to be 17mg of the initial sample remaining?

A cell phone plan charges $30 per month for unlimited call and text messages, however each gigabyte (GB) of data is charged at a rate of $10 per GB. Assume that fractional values of a GB are prorated according to this rate. If a user uses more than 15 GB of data during their monthly billing cycle, then they are not charged more than the cost for the first 15 GB. Write a piecewise-defined function that describes the amount a cell phone user will pay, C, as a function of the number of GB of data they use, d, over the course of a month. (You may enter the intervals using either interval notation or as an inequality. Do not include the dollar sign in any of your answers.) Provide your answer below: The first piece of C(d) is defined in the interval The second piece is defined in the interval