Determine whether statement (3) follows statements (1) and (2) by the law of Detachment or the law of syllogism. If it does, state which law was used. If it does not, write invalid (1) if you study math you will be smart. (2) if you are smart you will win the spelling bee. (3) if you study math you will win the spelling bee.

Given that the cost of a candy is 89 cents and you want to find the price or the amount.

let C(x) be the cost of a candy,

and x be the amount of candy

since on candy is equal to 89 cents

then c(x)=0.89x

but lets say a fixed tax of 20% of the price of candies then the equation will be

c(x)=0.89x+0.178x

where 0.178x is the product of 0.89, 20% of 0.89 and x.