Some countries implement income taxes on a progressive scale. Meaning, part of your income can be taxed at one rate and part of your income can be taxed at a different rate. Write a piecewise function that represents the following tax scale. Income: Tax Rate: 0 - $50,000 27% $50.001 - $100.000 $13,500 plus 35% for the income over $50,000 $100.001 and over $31.000 plus 45% for the income over $100,000 Write a piecewise function that represents the situation above.​

Inez has a phone card. the graph shows the number of minutes that remain on her phone card a certain number of days.

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

What is the volume of a cone with a height of 6 cm in the radius of 2 cm