The correct answer is D. Writing a new story every day, a successful career as an author seems certain.
A dangling modifier is a word, phrase, or a clause that doesn't really refer to anything in a sentence. If you take a look at option D, you will see that we don't know what the phrase <em>writing a new story every day </em>refers to. To correct this, the subject of the latter part of the sentence would have to be a person who does the writing.
The correct answer is 4)He uses a fatherly tone to appeal to women and sway them to follow his advice. After reading these rules, we are quite appalled at your views on the role women must play. You say that in order to have a happy marriage, one must have a happy husband and it is the role of the woman to keep her husband happy. This is absurd and disrespectful. Women should be treated as men’s equals not as a lesser creature.