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Rubidium-87 decays by *β*-particle production to strontium-87 with a half-life of 4.7 X 10^{10} years. What is the age of a rock sample that contains 109.7 *u*g of ^{87}Rb and 3.1 *u*g of ^{87}Sr? Assume that no ^{87}Sr was present when the rock was formed. The atomic masses for ^{87}Rb and ^{87}Sr are 86.90919 u and 86.90888 u, respectively.