How many children a year are born from egg donation and artificial insemination?

In case you were wondering - and these figures are from the United States alone:

In 1992...there were just 1,802 attempts by women to become pregnant using someone else's eggs, according to the Centers for Disease Control. Three years later, there were more than 4,738 such cycles; by 2004, the most recent year for which data has been published, there were 15,175 cycles, resulting in 5,449 babies. By comparison, some 22,911 children were adopted from abroad that year, and although there are no official figures, one survey estimated that at least the same number are conceived annually via donor insemination. Donor eggs are now used in 12 percent of all in vitro fertilization (I.V.F.) attempts, making it among the fastest-growing infertility treatments.

This also gives an idea of the exponential growth of these treatments.

And what about births to older mothers?

The birthrate among women ages 40-44 has risen 62 percent since 1990, while the rate among those in their late 40s has more than doubled. Among those who used I.V.F. in 2004, about a third of the 43-year-olds used someone else's eggs; by 47 years old, 91 percent did.