Answer:
Final cost = £779
Step-by-step explanation:
It is given that:
Cost of summer holiday = £650
Amount increased by 11%
Increased cost = 11% of 650
Increased cost = 
Increased cost = 0.11 * 650 = £71.50
Amount after increment = 650 + 71.50 = £721.50
Further increase = 8%
Amount = 0.08 * 721.50 = £57.72
Final cost = 721.50 + 57.72 = £779.22
Thus,
Final cost = £779
The pic is blurry, but looks like 18x²-21x-15
(3x-5)(6x+3) is the factored form.
3 and 6 are the factors of 18
-5, 3 or -3, 5 are the factors of -15
I line them up like this
3 -5
6 3
then I multiple them diagonally: 3*3=9, -5*6=-30, the sum of 9 and -30 is exactly -21, the coefficient for x. (If the sum doesn't make -21, I'd switch -5 and 3, or change to -3 and 5 to try again.)
so the factored form is (3x-5)(6x+3)
9514 1404 393
Answer:

Step-by-step explanation:
The angle to the point in the second quadrant is measured from the positive real axis (the x-axis). Second quadrant angles are between 90° and 180°, leaving the 135° choices as the only ones that make sense.
The magnitude of z is the root of the sum of the squares of its components:
|z| = √((-6)^2 +6^2) = 6√2
So, the polar form of z is ...

this matches the first choice
Answer:
0.5289 to the nearest thousandth is 0.529.
Step-by-step explanation: If a number is less than 5, round down, but if a number is 5 or more, round up. The digit after the thousandths place is the digit we should look at to answer the question and it is 9, so we round up from 0.528 or 0.529. So, the answer is 0.529.