EARNINGS On January 1, 2008, Sam started working for Acme Corporation with an annual salary of $48, 000, paid each month on the last day of that month. On July 1, he received a commission of $2, 000 for his work, and on September 1, his base salary was raised to $54, 000 per year. Finally, on December 21, he received a Christmas bonus of 1% of his base salary.
a. Sketch the graph of Sam’s cumulative earnings E as a function of time t (days) during the year 2008.
b. For what values of t is the graph of E(t) discountinuous?
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