At 7:00 AM there were 14,000 gallons of water in Lance’s pool when he noticed there was a leak. After 6 hours there were only 5,

I = PRT....seeking T...rearrange......I / PR = T

I / PR = T
I = 720
P = 1000
R = 9% = 0.09
substituting values
720 / (1000)(0.09) = T
720 / 90 = T
8 = T <===

The question clearly seeks the highest values from both functions, meaning the vertices of each.

<span>The graph depicting the path of Ed’s football indicates the vertex's coordinates (the peak of the graph).
</span>
Specifically,

(h,k) = (1.5, 7.5)

Where (h,k) represents the vertex's location.

Conversely,<span>the trajectory of Steve's football is defined by the equation:
y = - 2x
²</span> + 5x + 4<span>To find the axis of symmetry, we use the formula:x = - b
÷ 2a
Where:

a = -2</span>
b = 5

Consequently,

x = - 5 ÷ - 4

x = 5 / 4




x = 1.25
Now substituting this x-value back into the main equation to determine y.
y = - 2x² + 5x + 4
y = - 2(1.25)² + 5(1.25) + 4

y = - 3.125 + 6.25 + 4


y = 7.125


Thus, the vertex (h,k) = (1.25, 7.125)
As observed from the calculations
Ed’s

<span>football attains a higher height.</span>

Assuming that every material in their respective categories has an equal likelihood of selection.

Categories:
(a) Wood types for cabinets: birch, maple, cherry.
Each wood type has a selection probability of 1/3.
(b) Finish types: transparent, semi-transparent.
Each finish type has a 1/2 chance of being selected.
(c) Knob types: bronze, steel, wood.
Each knob material carries a probability of 1/3.

The selection of materials for the cabinet, finish, and knobs is independent of one another.

Consequently,
Probability(birch wood AND bronze knob) = (1/3)*(1/3) = 1/9
Probability(wood knob) = 1/3
Probability(transparent stain) = 1/2
Probability(cherry wood AND semi-transparent stain) = (1/3)*(1/2) = 1/6