Maths Help!?

1) After two years, the car is now worth 3% less. To solve this, set up as follows: 120000 x 0.03

This gives you the lost value over that period of time. Note that I multiplied by 0.03 instead of 3 because 3 percent means 3/100 which is 0.03. This would give you an answer of 3600

2) 15% has been deducted so 13175 is only 85% of the original price (100-15=85). So set up like the first one only this time, our unknown is the initial value so we should put a variable x for it.

0.85x= 13175

Divide both sides by 0.85 and you will get x= $15500

For question 1: multiply 120 000 by 0.03 (which is the 3%). This will give you a value of 3600. Therefore, the car lost $3600 in value over the 2 year span (it is now 116400).

For question 2: Divide 13175 by .85 (representing an increase of 15%). This will give you $15500 as your value.

1.

3% of 120000 is 3600

Or did you mean it depreciated in value by 3% per year, so its final value is:

120000 * (1 - (3/100))^2 = 112908

So it lost 120000 - 112908 = 7092

2.

13175 / (1 - (15/100)) = 15500

In the power set of a set X we define the relation ARB ⇔ A ⊆ (X ∖ B). then:

(1) R is reflective.

(2) A R A ⇔ A = ∅.

(3) The relation is transitive.

(4) The relationship is not symmetrical.

(5) None of the above.

What is the correct answer and why;