In 2011 through 2014, the value of precious metals fluctuated dramatically. The data in the following table (stored in Metals) represent the total rate of return (in percentage) for platinum,
gold, and silver from 2011 through 2014:
Year Platinum Gold Silver
2011 -21.1 10.2 -9.8
2012 8.68 0.1 7.1
2013 -11.7 6.08 7.13
2014 -0.72 -28.65 -26.65
Source: Data extracted from finance. yahoo. com,
May 5, 2015.
a. Compute the geometric mean rate of return per year for platinum, gold, and silver from 2011 through 2014.
b. What conclusions can you reach concerning the geometric
mean rates of return of the three precious metals?

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?