An assembly including a compression-molded, composite panel with a hinged mounting flange is provided. The panel includes first and second outer layers and a core having first and second portions positioned between the outer layers. The first portion has a large number of cavities and the second portion is substantially free of cavities. The second outer layer is bonded to the core by press molding. The first outer layer includes a first portion bonded to the first portion of the core by press molding and a second portion bonded to the second portion of the core to form the mounting flange pivotally connected to the first portion of the first outer layer. A component is mounted to the flange to pivot with the flange. A living hinge allows the flange and the mounted component to pivot between different use positions relative to the first portion of the first outer layer.