Paul has $50,000 to invest. His intent is to earn 12% Interest on his investment. He can invest part of his money at 8% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 12% return on his 50,000?

Astudy was interested in determining if eating milk chocolate lowered someone's cholesterol levels.ten people's cholesterol was measured. then, each of these individuals were told to eat 100g of milk chocolate every day and to eat as they normally did. after two weeks, their cholesterol levels were measured again. is there evidence to support that their cholesterol levels went down? how should we write the alternative hypothesis? (mud = the population mean difference= before - after)a. ha: mud = 0b. ha: mud > 0c. ha: mud < 0d. ha: mud does not equal 0

Will mark determine whether the conjecture is true or false. give a counterexample for any false conjecture. given: points r, s, and t conjecture: r, s, and t are coplanar. a) false; the points do not have to be in a straight line. b) true c) false; the points to not have to form right angles. d) false; one point may not be between the other two.

The measures of two supplementary angles are (2x + 10)° and (8x + 10)°. what is the measure of the larger angle? a. 16° b. 44° c. 14° d. 138°