In order to see the probaability of this we need to do an easy calculation here:
If X<span> is the price for the policy, then we proceed like this:
</span>0.982x = 0.0275*<span>31,000
</span><span>
x = 0.0275*</span><span>31,000</span><span>/0.982
Minimum ammount he can expect to pay = $868.12 </span>
Dana:
Starts with 25 = 25
Spends 10 = 25 - 10 = 15
Received 50 = 15 + 50 = 65
New tires cost 75 = 65 - 75 = -10
Tracey:
Starts with 50 = 50
Gets gas for 25 = 50 - 25 = 25
Received 100 = 25 + 125 = 125
Purchased boots for 150 = 125 - 150 = -25
Tracey ends up with the least amount of money after their purchases.
Hope this helps! :)
Answer:
,
Explanation:2√2 sin(q) + 2 = 0
2√2 sin(q) = -2
sin(q) =

sin(q) =

Now, we know that:
sin (45) =

From the ASTC rule, we know that the sine function is negative in the third and fourth quadrant.
This means that:
either q = 90 + 45 = 135° which is equivalent to

or q = 270 + 45 = 315° which is equivalent to

Hope this helps :)