Supplement__6_Exponentials___Logs

# Supplement__6_Exponentials___Logs - an advertising campaign...

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Analytical Methods Name __________________________ Supplement #6 1. If f x x x ( ) log(7 ) = + - 2 4 , find f( ). 2 2. If f x e x x ( ) ln( ) = + + 1 , find f( ). 0 3. If f x e x ( ) ln( ) = - 3 5 , find f(ln ). 2 4. Use the change of base formula to evaluate log 9 2158 5. Because of a new advertising campaign, a company predicts that sales will increase, and that the yearly sales will be given by the equation N t = 10 000 0 3 0 5 , ( . ) . where t represents the number of years after the start of the campaign. a. What are the sales when the campaign begins? b. What are the predicted sales for the third year?

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6. The sales decay for a product is given by S e x = - 50 000 0 1 , . , where S is the weekly sales and x is the number of weeks that have passed since the end of
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Unformatted text preview: an advertising campaign. a. What will sales be 6 weeks after the end of the campaign? b. How many weeks will pass before sales drop below 15,000? 7. If \$1000 is invested at 12%, compounded monthly, the future value A at any time t (in years) is given by A t = 1000 101 12 ( . ) How long will it take for the amount to double? 8. If \$5000 is invested at 13.5%, compounded continuously, then the future value A at any time t (in years) is given by A e t = 5000 0 135 . . a. What is the amount after 9 months? b. How long before the investment doubles?...
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