Verified Certificate

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This is to certify that olga villarroel successfully completed and received a passing grade in ECO.1x: Fundamentals of Microeconomics | Fundamentos de Microeconomía a course of study offered by UC3Mx, an online learning initiative of Universidad Carlos III de Madrid.

Noted by

Ángel Hernando Veciana

Ángel Hernando Veciana

Associate Professor at the Department of Economics Universidad Carlos III de Madrid

Carlos Delgado Kloos

Carlos Delgado Kloos

Vice-President for Strategy and Digital Education Universidad Carlos III de Madrid

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