You would turn 15% into a decimal. Which would be .15, and then do .15 times $29.99 which is $29.84. Then you would subtract the $29.99 minus the $29.84
Answer:
(-2, 0)
Step-by-step explanation:
y = 2x+4
6x - 3y = -12
Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...
2x - y = -4
Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...
2x-3(2x+4)=-4
Distribute the -3
2x-3(2x)-3(4)=-4
2x-6x-12=-4
Combine like terms
-4x-12=-4
Add 12 to both sides
-4x-12+12=-4+12
-4x=8
Divide both sides by -4
x=-2
Plug -2 back in for x to solve for y:
y = 2(-2) + 4
y=-4+4
y=0
(x, y) = (-2, 0)
Answer:
When number of games downloaded is at least 3
Step-by-step explanation:
Let x = number of games downloaded
Members = 50 + 2x
Non members = 20x
50 + 2x = 20x
50 = 20x - 2x
50 = 18x
x = 50/18
x = 2.78
At x = 2.78, both members and non members are paying the same amount
For members to make profits, the value of x must be greater than 2.78
Approximately x = 3
Check:
Members = 50 + 2x
= 50 + 2(3)
= 50 + 6
= 56
Non members = 20x
= 20(3)
= 60
Answer:
price = $190
quantity = 950 tickets
Step-by-step explanation:
revenue = price * quantity
n = number of $10 price reductions
price = 300 - 10n
quantity = 400 + 50n
r = (300 - 10n)(400 + 50n)
recognize these as the factors of a quadratic that opens down
the vertex will therefor be the maximum revenue
the roots are:
300 - 10n = 0
300 = 10n
n = 30
400 + 50n = 0
50n = -400
n = -8
vertex is at mid point of the roots
n = (-8 + 30)/2
n = 11
price = 300 - 10n
price = 300 - 10(11)
price = 190
quantity = 400 + 50n
quantity = 400 + 50(11)
quantity = 950
