Answer:
cp=2800
mp=cp+30%of cp=2800+30/100×2800=3640
discount=10%
discount amount=10%ofmp=10/100×3640=364
sp=mp-discount=3640-364=3276
vat=15%
sp with vat=sp+vat%of sp=3276+15/100×3276=3276+491.4=3767.40
Answer + Explanation + Theory
When a number is divided by a number it results in a quotient and a remainder
E.g. 9 / 4 = 2 remainder 1
9 is the dividend
4 is the divisor
2 is the quotient
1 is the remainder
Same way when a polynomial is divided by a linear expression
E.g.
Ax^2 + bx + c / (x-b) = (x+a) + r
Which can be rearranged to
ax^2 + bx + c = (x+a)(x-b) + r
When x = - a or b, only the remainder is left since either (x+a)(x-b) is 0.
If x = - a or b is substituted into the polynomial and the value is 0 then there is no remainder,
This would suggest (x+a) or (x-b) are factors of the polynomial.
Now apply this logic to these questions
1. Let’s assume (x-4) is a factor, this would mean that when x=4 is substituted into the polynomial the answer would be 0.
This is the case, therefore the remainder is 0.
2. Having seen the logic above (applied using the remainder and factor theorem) the linear expression is a factor of the polynomial.
X+y = 6
x-y = 2
Add both equations,
2x = 8
x = 4
Substitute it in equation 1,
4+y = 6
y = 6-4 = 2
In short, x = 4 & y = 2
Hope this helps!
Rachel paid $33.60 for 12 rolls.
Unit rate paid by Rachel = 
= 2.8
From table,
Kevin paid $6.40 for 2 rolls.
Unit rate paid by Kevin = 
= 3.20.
Check:
Kevin bought 5 rolls for $16
5 × 3.2 = 16
He also bought 8 rolls for $25.6.
8 × 3.2 = 25.6.
If we compare the unit rates paid by Rachel and Kevin,
Rachel's unit rate is <u>less</u> than Kevin's because <u>3.2</u> is greater than <u>2.8</u>.
