We start with
$1,187.92
With the interest and the late fee charge
$1,187.92 (1 + 0.1225/12) + 30 = $1,230.05
With the interest minus the payment of $125
$1,230.05 (1 + 0.1225/12) - $125 = $1,117.60
The new principal after the latest payment is $1,117.60.
Answer:

Step-by-step explanation:
So when x and y, vary inversely, it means that the product of x and y will remain constant such that:
. This means that the function can be defined as
by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation:
, which can be defined as 
Answer:
Let x = number of regular tickets sold.
Let y represent the number of student tickets sold.
12x+8y≤100012x+8y≤1000
x+y≥200x+y≥200
12x+8y≤20012x+8y≤200
x+y≤200x+y≤200
12x+8y≥1000
hope this helps
Step-by-step explanation:
Cosine = adjacent / hypotenuse
cosine = 1 / square root (2)