Answer:
- 6 gallons per minute.
Step-by-step explanation:
Let the function that models the quantities of water, Q (in gallons) in a pool over time, t (in minutes), is
Q = a + bt ........... (1)
Now, Q(t = 0) is given to be 50 gallons.
So, a = 50 and b denotes the rate at which the quantity of water in the pool is decreasing and it is given by the slope of equation (1).
Now, two points on the graph are (0,50) and (1,44).
So, the slope = b =
= - 6 gallons per minute.
Therefore, the equation of this situation is given by Q = 50 - 6t, where the slope is equal to - 6 gallons per minute. (Answer)
Answer: Total Loss or Gain = $0
<u>Step-by-step explanation:</u>
Gain: $55,055 (1 + 0.16)
= $55,055 (1.16)
= $63,863.80
Profit = $8,808.80
Loss: $55,055 (1 - 0.16)
= $55,055 (0.84)
= $46,246.20
Loss = -$8,808.80
Profit + Loss
= $8,808.80 - $8,808.80
= 0
Answer:
The inverse function is 
Step-by-step explanation:
The given function is
.
This function is only invertible on the interval,
.
To find the inverse on this interval, we interchange
and
.

We now make
the subject to get,



But the given interval is
, This implies that,
.

Answer:
24 units
Step-by-step explanation:
1) Separate this quadrilateral into 2 triangles
2) Multiply the height by the width of one of the triangle
- Multiply 8×3
= 24
For this case what we can do is the following rule of three:
24.3 -----> 130%
x ---------> 100%
We clear the value of x:
x = (100/130) * (24.3)
x = 18.7 grams
Answer:
the current mass of the object was:
x = 18.7 grams