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An automobile dealer has estimated that he can sell N(x) = 420 + 72ln(1+.05) cars annually, where x ( in thousands of dollars) is the

An automobile dealer has estimated that he can sell N(x) = 420 + 72ln(1+.05) cars annually, where x ( in thousands of dollars) is the amount spent on advertising.

a. Find the number of cars sold if $6000 is spent on advertising.

b. Find the rate of change in the number of cars sold if $6000 is spent on advertising.

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