Answer:
75.26
Step-by-step explanation:
Most sales taxes work by not being calculated until cash in some form changes hands. So you take the discount first and then you add the sales tax on the new amount.
Take the discount first
Original cost = 79.74
Discount amount = 79.74 * 12% = 79.74 * 12/100 = 9.57
New price = 79.74 - 9.57 = 70.17
Now you are ready to add on the sales tax
70.17 * 7.25/100 = 5.09
The total is 70.17 + 5.09 = 75.26
Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:

Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:

The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:

This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.
Answer:
91 possible outcomes
Step-by-step explanation:
As the teacher selects a brunette followed by a blonde, we just need to find the number of possibilities of choosing a brunnette and the number of possibilities of choosing a blonde:
number of possibilities of choosing a brunette: 13
number of possibilities of choosing a blonde: 7
Then, the number of possible outcomes is the product of these number of possibilities:
13 * 7 = 91 possible outcomes
The first one
Running forward is adding
Running opposite direction is subtracting
5-5
5-6
6-5
6-0
5-5 is the only one that equals 0