Answer:
Below.
Step-by-step explanation:
a. Φ^2 − Φ − 1 = 0
Φ2 − Φ = 1
(Φ - 0.5)^2 - 0.25 = 1
(Φ - 0.5)^2 = 1.25
Φ - 0.5 = √(1.25) (We only take the positive root).
Φ = 0.5 + √(1.25)
b. I used Completing the square.
c. Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.
Answer:
She paid 9% of sales tax
Step-by-step explanation:
The sale price of diamond = $375
Let x be percent of sales tax
So, amount of tax = 
So, Amount including tax = 375+3.75x
We are given that Bethany paid $408.75 for a pair of diamond stud earrings.
So, 375+3.75x=408.75
3.75x=408.75-375

x=9
Hence She paid 9% of sales tax
Its a binomial. There are two terms
The answer is ...............47.4