Review_Part_II_Modeling_Problems_honors_midterm_13

Anita has at most 24000 to invest in her brother in

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17.  Anita has at most $24,000 to invest in her brother-in-law’s Laundromat and her nephew’s car wash.  Her brother-in-law has high blood pressure and  heart disease but he will pay 18%, whereas her nephew is healthier but will pay only 12%.  So the amount she will invest in the car wash will be at least  twice the amount that she will invest in the Laundromat but not more than three times as much.  How much should she invest in each to maximize her  total income from the two investments? 18.  The length of a bulletin board is 2 ft more than the width.  The diagonal has length  52 feet.  Find the length and width of the bulletin board. 19.  It takes Susie 6 hours to complete here Miscellaneous Review.  It takes Meg only 4 hours.  If they work together, how long will it take them? 20.  Ms. Rupert can mark a set of projects in 8 hours.  If she and Ms. Smith work together it takes them 3 hours.  How long would it take Ms. Smith to  mark them alone? 21.  A large pipe can fill an outdoor pool in 10 hours and the drain pipe can empty it in 15 hours.  If Fred is filling the pool but by accident he leaves the  drain pipe open, how long will it take to fill the pool?
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