The answer is $25.
x - the price of an adult ticket
y - the price of a child ticket
The Jones <span>paid $74 for 2 adults and 2 children: 2x + 2y = 74
The Tuckers paid </span><span>$86 for 2 adults and 3 children: 2x + 3y = 86
This is the system of two equations:
</span>2x + 2y = 74
2x + 3y = 86
____
Multiply the first one by (-1)
2x * (-1) + 2y * (-1) = 74 * (-1)
2x + 3y = 86
____
-2x - 2y = -74
2x + 3y = 86
____
Sum the equations:
2x - 2x + 3y - 2y = 86 - 74
y = 12
____
Substitute y in the first equation to find x:
2x + 2 * 12 = 74
2x + 24 = 74
2x = 74 - 24
2x = 50
x = 50/2
x = 25
So, the price of the adult ticket is $25 and the price of the child ticket is $12.
Answer: The answer is the first choice.
Explanation:
Because you must find the sin of the x values in the table.
Sin(7pi/6) = -1/2
Sin(5pi/4) = -sqrt 2/2
Sin(4pi/3) = -sqrt 3/2
Answer: $58,088.57
Step-by-step explanation:
The investment is compounded weekly so you need to change the parameters of the equation to a weekly figure:
Interest rate is yearly so:
= 3.75%/52
= 3.75/52% per week
Number of periods is 4 years so:
= 4 * 52
= 208 weeks
Future value in 4 years is:
= 50,000 * ( 1 + 3.75/52%)²⁰⁸
= $58,088.57
Answer:
9 fewer ounces
Step-by-step explanation:
first divide 12 by 100 to get .12
then multiply that by 75 and get 9
12-9=3
