Answer:
$70.34
Step-by-step explanation:
The total before the coupon and tax is:
$54.99 + $21.99 = $76.98
Now apply the 15% coupon:
Since the total price is 100% of the price, when you apply a 15% coupon, you pay 100% - 15% = 85% of the price. We need to find 85% of $76.98
85% * $76.98 =
= 0.85 * $76.98
= $65.43
The price after the 15% coupon, but before the tax, is $65.43
Now the total $65.43 is considered 100% of the price. The tax is 7.5%.
100% + 7.5% = 107.5%
Now we find 107.5% of $65.43
107.5% of $65.43 =
= 1.075 * $65.43
= $70.34
Answer: $70.34
Answer:
250/20 = 12.5/min
2 min = 25 bottles
The machine fills 25 bottles every two minutes. So you should make points (minutes, bottles) at (0,0), (2,25), (4,50), (6,75), (8,100), (10,125) and draw a line connecting them.
Answer:
12
Step-by-step explanation:
4-2x=-18
-4 -4
-2x=-24
-2 -2
x=12
a. The general equation for a circle centered at 
with radius 
is
The described circle has equation
We know the circle passes through the origin. This means that the equation above holds for 
and 
. The distance between any point on the circle and its center is the radius, so we can use this fact to determine :
So the circle's equation is
b. If the distance between point B and the center is less than 
, then B lies inside the circle. If the distance is greater than , it falls outside the circle. Otherwise, if the distance is exactly , then B lies on the circle.
The distance from B to the center is
, so 
, which means B falls outside the circle.
