considering each case independently, determine the following amounts:

a$.$ Stockholders' equity as of May $31,20Y2.$

$

b$.$ Stockholders' equity as of May $31,20Y3,$ assuming that assets increased by $$825,000$ and liabilities increased by $$515,000$ during $20Y3.$

$

c$.$ Stockholders' equity as of May $31,20Y3,$ assuming that assets decreased by $$375,000$ and liabilities increased by $$60,000$ during $20Y3.$

$

d$.$ Stockholders' equity as of May $31,20Y3,$ assuming that assets increased by $$725,000$ and liabilities decreased by $$120,000$ during $20Y3.$

$