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Apply a stepwise refinement approach to develop three different levels of procedural abstractions for one or more of the following programs: Develop a check writer

Apply a stepwise refinement approach to develop three different levels of procedural abstractions for one or more of the following programs:
Develop a check writer that, given a numeric dollar amount, will print the amount in words normally required on a check.
Iteratively solve for the roots of a transcendental equation.
Develop a simple task-scheduling algorithm for an operating system.
Write an algorithm in Python that will represent your stepwise refinement approach for the program of your choice.
Use one of the following UML tools to create your diagrams for this assignment and implement your system in Python:
UMLet
Gliffy
Microsoft Visio

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