Answer: $20
Step-by-step explanation:
Let 'x' be the cost of a ticket at Haynes
Let 'y' be the cost of a ticket at Valley
Since the total cost from both schools are the same, we can write it as:

Since the cost of tickets at Valley was $5 less than Haynes, we can write it as:

Now we have two equations, we can use to substitute into the other expression:

we substitute y in this equation with the other equation



Therefore the cost of the ticket at Haynes is $20 and the cost of the ticket at Valley is $15.
Answer:
100.7%
Step-by-step explanation:
Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.
We can setup a formula using our period of time and the money he invested into the bank:

We can divide 340 from both sides, and simplify the right side to 21 divided by 17:

Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.
She will need 1/3 cup because she has already covered 3/4
Answer:
(x+1)^2 + (y-3)^2 = 16
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
(x--1)^2 + (y-3)^2 = 4^2
(x+1)^2 + (y-3)^2 = 4^2
(x+1)^2 + (y-3)^2 = 16