1. Before moving the sliders, predict what will happen to the graph when you change:[br][list][*]x and y scale[/*][*]time[/*][/list]2. Adjust the time slider.[br]3. Change the value of the principal amount (P) and rate (%):[br][list][*]Try different combinations of principal amount (P) and rate (%).[/*][/list]4. Click the box of Simple and Compound (see below time slider).[br]5. Record your observation and check if your predictions match the result.[br]

[b]SIMPLE INTEREST [/b](5 points each)[br]1.How do you determine the simple interest earned each year?[br]2. How much total simple interest will be [b]earned[/b] after "[i]n[/i]" years? (show your solution)[br]3. Derive the formula of Simple Interest?[br][b]COMPOUND INTEREST [/b](5 points each)[br]1. How is the compound interest earned in each year calculated?[br]2. Why does the interest amount[b] increase each year[/b] under compound interest, unlike in simple interest?[br]3. Derive the formula for the [b]total compound interest earned[/b] after "[i]n[/i]" years.[br][b]GENERAL QUESTION [/b](10 points)[br]1. Compare simple and compound interest after "[i]n[/i]" years. Which one grows faster, and why?