Using egrep to search for Text and special char

UNIX for Advanced & Expert Users
1

Anyone is well-versed to use egrep to search a file for a line containing both:
1) AAA
2) $

I am having problem escaping the dollar sign when using egrep in conjunction with satisfying AAA as well.

E.g. Text file
Line 1 AAA
Line 2 $$$
Line 3 AAA BBB $
Line 4 $$$ BBB AA

will return me
Line 3 AAA BBB $

Tks in advance.

2 
cat filename 
Line 1 AAA
Line 2 $$$
Line 3 AAA BBB $
Line 4 $$$ BBB AA


egrep '\$' filename | egrep 'AAA'
output:
Line 3 AAA BBB $
3

I am looking for a single statement.

E.g.
egrep '\$' + 'AAA' filename

So that if I need to exclude a statement with both search string, I can do a
egrep -v '\$' + 'AAA' filename

Anymore suggestions?