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812 A high school mathematics contest


6.A pointPis given in the interior of a rectangleABCDwithAB=
CD=24andAD=BD=5. What is the total area of the two
trianglesPADandPBC(shaded in the figure)?
A B

D C

P

7.Samantha bought a stock for 1000 dollars whose price then doubled
every year for the nextnyears. In the year after that, the stock
price fell by 99%. Nevertheless, the stock was still worth than 1000
dollars. What is the smallest whole number of years for which this
is possible?
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