40y^14/10y^8 simplify radicals and use properties of rational exponents

Anyone know? will mark brainliest if you're correct!

If value of cos330° is √3/2 then find tan165°.

Acaterer charges $500 plus $30 per guest to cater a wedding. walt and traci don't want to spend more than $8000 on catering. write and solve an inequality in terms of the number of guests, g, that can be invited. a) 30g ? 8000; g ? 267 b) 500g < 8000; g < 16 c) 500 + 30g < 8000; g < 250 d) 500 + 30g ? 8000; g ? 250