$**$ Translate the following statements into symbolic form using capital letters to represent

affirmative English statements. $($# $615,0\mathrm{.}3$ point for each$)$

$6.$ Nassau$$s advertising sizzling night clubs is a necessary condition for Puerto Vallarta$$s offering luxury

hotels; moreover, Cancun$$s having turquoise waters and Acapulco$$s promising powder$-$white beaches is a

sufficient condition for Jamaica$$s offering reggae music.

$7.$ If Christina Aguilera$$s singing soul and Justin Timberlake$$s singing pop are sufficient and necessary

conditions for Kelly Clarkson$$s singing rock, then neither Beyonc$$ nor Shakira will sing rap.

$8.$ The Dixie Chicks$$ opening the show implies that the Chili Peppers close it$,$ given that the Black Eyed

Peas$$ showing up implies that neither Gnarls Barkley nor Rascal Flatts will perform.

$9.$ Natalie Maines is a true patriot if Emily Robinson speaks the truth, provided that Martie Maguire

campaign for peace.

$10.$ It is not the case that both Atari$$s releasing a stalker game implies that Nintendo does and Sega$$s

releasing a molester game implies that Commodore does.

$11.$ Three$-$strikes laws will be enforced and longer sentences imposed only if hundreds of new prisons are

built, and that will happen only if taxes are increased.

$12.$ The Ebola virus is deadly, but it will become a major threat to humanity if and only if it becomes

airborne and a vaccine is not developed.

$13.$ If evolutionary biology is correct, then higher life$-$forms arose by chance, and if that is so$,$ then it is

not the case that there is any design in nature and divine providence is a myth$.$

$14.$ If banks charge fees for teller$-$assisted transactions, then more people will use ATMs; and if that

happens and ATM fees increase, then banks will close branches and profits will skyrocket.

$15.$ If corporate welfare continues, then taxpayer interests will be ignored and billions of tax dollars will

go to giant corporations; and if the latter occurs, then there will not be anything left for the poor and the

budget will not be balanced.

keep in mind it is Philosophy$111($intro to logic$)$ so used the symbols tilde, dot, wedge, horshoe and triple bar to represent negation, conjunction, disjunction, implication, equivalence