Они могут быть взаимозаменяемыми, но 'attractive' обычно описывает человека, который нравится и имеет большее значение.
'Appealing' мы можем использовать например к еде или сделке.
The buy one get one deal was appealing. - Одна сделка была привлекательной
He was very attractive. - он был такой привлекательный.
Your offer sounds very appealing. - ваше предложение звучит очень привлекательным.
Здесь же у нас имеется префикс -un, который образовывает слова с противоположным значением => 'не привлекательный'
Ситуация аналогична как и с обычными словами.
Письмо:
Dear friend!
Thanks for your letter! Sorry, I didn't answer you earlier, because I was busy doing my homework. In your last letter you asked me 3 question which I'd like to answer now.
Each person is interested in different subjects. Someone prefers mathematics, someone literature, and others may like biology. I personally like IT. That's why I want to become a programmer. It was always interesting for me to code aplications that help people to achieve their goals and it's a greate pleasure to reseave positive reviews from those who use your work. As we say in Russia "hard in training easy in battle". It's obviois I have to do a lot to fulfill my dream. For example, I defenitely need to stop copying my english homework from the network.
Well, that's all I wanted to say. Sorry, I have to go, because I need to prepare for my state exam. Drop me a line soon.
Best wishes,
Your best friend