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A retail store estimates that weekly sales 5 and weekly advertising costs x (both in dollars) are related by s = 60,000 - 40,000 e

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A retail store estimates that weekly sales 5 and weekly advertising costs x (both in dollars) are related by s = 60,000 - 40,000 e _ 09005". The current weekly advertising costs are $2,000, and these costs are increasing at a rate of $300 per week. Find the current rate of change of sales. The current rate of change of sales is $ per week. (Round to the nearest dollar as needed.) How many years are required for an investment to double in value if it is appreciating at the rate of 12% compounded continuously? At 12% compounded continuously, the investment doubles in years. (Round to one decimal place as needed.) Use implicit differentiation to nd y' for the equation below and then evaluate y' at the indicated point. y2+4y+7x=0;(-3,3) Y' |(_ 3,3) = (Simplify your answer.) Use the product rule to find the derivative. y = (4x2 + 3)(4x -3) . . . y' =]Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=4+3lnx; x=1

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