Sales of the text "Calculus and You" have been declining continuously at an annual rate of 6%. Assuming that "Calculus and You" currently sell 6,000 copies per year and that sales will continue this pattern of decline, calculate total future sales of the text. Use the formula for continuously compounded interest with a negative rate.
A)2,500,000 copies
B)600,000 copies
C)100,000 copies
D)1,000,000 copies
E)5,000,000 copies

Question

Quizplus · Accepted Answer

The formula for continuously compounded interest is A = P * e^(rt). Here, P = 6000, r = -0.06, and t approaches infinity. The integral of sales over time gives a total of 100,000 copies.

Sales of the Text "Calculus and You" Have Been Declining