Cash dividends of $$45,000$ were declared during the year. Cash dividends payable were $$10,000$ at the beginning of the year and $$15,000$ at the end of the year. The amount of cash paid for dividends during the year is $\_\_\_\_\_.$

a$.$ $$55,000$

b$.$ $$40,000$

c$.$ $$50,000$

d$.$ $$35,000$