The form factors for B-c transitions are calculated with a relativisti
c constituent quark model based on the Bethe-Salpeter formalism. The r
ates for some semileptonic and nonleptonic B, weak decays and CP-viola
ting asymmetries for two-body hardonic B, decays are estimated as well
. The calculated widths are compared with those predicted in other qua
rk models of mesons. For the most promising signatures for the discove
ry of B,: B-c --> psi l nu --> (l'(+) l'(-))l nu and B-c --> psi pi --
> (l'(+) l'(-))pi (with l' = e or mu), the combined branching ratios a
re, respectively, estimated to be 1.06 x 10(-3) and 4.8a(1)(2) x 10(-5
) for tau(Bc) = 0.5 ps and as large as 2.56 x 10(-3) and 1.15a(1)(2) x
10(-4) for tau(Bc) = 1.2 ps. There are large CP-violating effects in
some B-c decay modes, and the rates for some of these (e.g., B-c --> p
si D, eta(c)D, and eta(c)D*, etc.) are large too.