Answer:
12 choices
Step-by-step explanation:
There are 3 possible flavors Zoe can choose from: vanilla, chocolate, and strawberry.
Meanwhile, there are 4 possible toppings Zoe can choose from: walnuts, sprinkles, and chocolate fudge and cookie crumbs.
Each flavor can go with each topping, so we just multiply these two numbers together:
3 * 4 = 12
Zoe has 12 choices.
Answer:
The volume of the solid will be = 134.1 cubic units.
Step-by-step explanation:
The base of a solid has the equation of a circle x² + y² = 16 in the xy-plane. Cross-sections perpendicular to the y-axis of the solid are semicircles.
Therefore, the solid will be the shape of a hemisphere.
Now, the radius of the hemisphere will be 4 units.
{Since the base of the hemisphere is on the xy-plane and have equation
x² + y² = 4²}
Therefore, the volume of the solid will be = 
cubic units. (Answer)
You first divide 40 by 19:
19/40=?
Then you convert that to percentage by dropping the decimal point and attaching a %
(hint: you should get 48% about :)
Answer:
The club should charge $211 to optimize the revenue.
Step-by-step explanation:
Hi there!
The current revenue of the health club is calculated by multiplying the number of clients by the membership due value.
If y = revenue, then:
y = 1900 · 42
So, if the memberiship dues increase by $1, 5 clients will be lost. Then, if the dues increase by a value of x, then the number of lost clients will be 5x. If such an increase is applied, the revenue will be:
y = (1900 - 5x) (42 + x)
Apply distributive property:
y = 79800 + 1900x - 210x - 5x²
y = -5x² + 1690x + 79800
The function is a negative parabola, then, its maximum will be the vertex of the parabola that can be calculated using the following formula:
x = -b/2a
Where:
b = 1690
a = -5
Then:
x = -1690/(2 · -5)
x = 169
The club should charge 169 + 42 = $211 to optimize the revenue.
= 7.25