Answer:
Step-by-step explanation:
The basic model for this growth is the exponential function: y = a(b)^c, where a is the initial value, b is the growth rate and c is the time.
Here we have P = fish population = (2 fish)(3)^t
Answer:
<em>The maximum number of kilowatt-hours is 235</em>
Step-by-step explanation:
<u>Inequalities</u>
Robert's monthly utility budget is represented by the inequality:
0.1116x + 23.77 < 50
Where x is the number of kilowatts of electricity used.
We are required to find the maximum number of kilowatts-hours used without going over the monthly budget. Solve the above inequality:
0.1116x + 23.77 < 50
Subtracting 23.77:
0.1116x < 50 - 23.77
0.1116x < 26.23
Dividing by 0.1116:
x < 26.23/0.1116
x < 235
The maximum number of kilowatt-hours is 235
<span>this is pretty hard but here is your answer
</span>
y = x^2 - 10x + 25 - 25
<span> y = (x-5)^2 - 25 </span>
<span> y+25 = (x-5)^2 </span>
<span> x-5 = +/-sqrt(y+25) </span>
<span> And you get TWO
inverses: </span>
<span> x = 5 + sqrt(y+25),
for x>=5 </span>
<span> x = 5 - sqrt(y+25),
for x<=5</span>
The current rate is simply equal to $175 per month, let
us call this as rate A:
A = 175
The new rate is $94 plus $4.50 per devices, let us call
this as rate B:
B = 94 + 4.50 x
where x is the number of devices connected to the network
The inequality equation for us to find x which the new
plan is less than current plan is:
94 + 4.50 x < 175
Solving for x:
4.50 x < 81
x < 18
So the number of devices must be less than 18.
- From the graph, we can actually see that the new rate
intersects the current rate at number of devices equal to 18. So it should
really be below 18 devices.
B s(x) = 102 + 11(x - 1)
This takes the first hour sales, 102, and adds the sales after that 11(x-1)
