Calculate Future Sales of Calculus and You Text

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Homework Statement


Sales of the text Calculus and You have been declining continuously at a rate of 4% per year. Assuming that Calculus and You currently sells 4800 copies per year and that sales will continue this pattern of decline, calculate total future sales of the text.


Homework Equations


integral of a to infinity f(x)dx=lm of M>>infinity of integral of a to M f(x)dx


The Attempt at a Solution



I set the problem as integral of 0 to M 4800(0.96)^t dt and computed it, but my answer was incorrect. So then I did the opposite by setting the integral from M to 0, but my answer was still incorrect. Any help would be appreciated. Arigato Gozaimasu!
 
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Your formula for 'declining continuously at a rate of 4% per year' is a bit wrong. Don't you want exp(-0.04*t)?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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