Verified Certificate

Supported by the following organizations

This is to certify that Cristal Salgado Moura Silva successfully completed and received a passing grade in EC10.0: Principles of Economics: Supply, Demand, and Optimization a course of study offered by HarvardX, an online learning initiative of Harvard University.

Noted by

David Laibson

David Laibson

Robert I. Goldman Professor of Economics Harvard University

Jason Furman

Jason Furman

Aetna Professor of the Practice of Economic Policy Harvard University

About edX

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About edX Verified Certificates

An edX Verified Certificate signifies that the learner has agreed to abide by the edX honor code and completed all of the required tasks of this course under its guidelines, as well as having their photo ID checked to verify their identity.