A. It's a composite function, so basically, wherever you see a p, replace it with 5t, because we are given that information. So, your answer is:
![A[p(t)] = 5t \pi 2=10t \pi](https://tex.z-dn.net/?f=A%5Bp%28t%29%5D%20%3D%205t%20%5Cpi%202%3D10t%20%5Cpi%20)
B. Let's use the function we created, and just plug in 2 for t:
![A[p(2)] = 10(2) \pi](https://tex.z-dn.net/?f=A%5Bp%282%29%5D%20%20%3D%2010%282%29%20%5Cpi%20)
![A[p(2)] = 62.83](https://tex.z-dn.net/?f=A%5Bp%282%29%5D%20%3D%2062.83)
So, your answer is
(approximately)
62.83 units².
Answer:87 seats are empty
Step-by-step explanation:
Answer:
Step-by-step explanation:
995 2 = 990025
Thia is the correct answer
Answer:
1022 minutes
Step-by-step explanation:
Let x be the number of minutes the executive used the phone
There is a base charge of $35 and only minutes greater than 900 min are charged at the rate of $0.40 per minute
So total bill A = 35 + 0.4(x-900)
We know the bill was $83.80
So we can rewrite the equation as
35 + 0.4(x-900) = 83.30
and solve for x
To make it easier for computational purposes
1) Multiply both sides by 10
2) Perform individual multiplication
3) Subtract 350 from both sides
4) Simplify
5) Divide both sides by 4
6) Simplify
7) Add 900 to both sides to isolate x
8) Simplify to obtain x
Answer: The executive used the phone for 1022 minutes that month
Answer:
a. 300 + 24x = y, where x is the number of months, and y is the total balance
b. 396
Step-by-step explanation:
a. The balance of $300 is a constant, so it does not change, this is the first part of our equation. If x is the number of months and we get $24 per month, then we have the second part of our equation. If we say y is the balance, that gives us the last part of the equation, 300 + 24x = y
b. Plug the number 4 in for x (the amount of months), 300 + 24(4) = y, simplify: 300 + 96 = y, simplify: 396 = y
