8.75 inches
5 divided by 4 is 1.25
1.25 x 3 = 3.75
3.75 + 5 = 8.75
108 degrees
B - Alternate angles
Answer:
x < 4
Step-by-step explanation:
Step 1: Write inequality
2x < 8
Step 2: Divide both sides by 2
x < 4
We see here that any value of <em>x</em> less than 4 will work. So numbers like 1, 0, -124 or even -14687206589174 would work.
Answer:
x = 22
Step-by-step explanation:
rearange the equation to 25-3=x. 25-3 = 22, therefore x = 22
Answer:
a) The revenues in 2006 were of 2.24 billion dollars.
b) The revenues increased 138.3 million dollars in 2006.
Step-by-step explanation:
We have the following expression to model the revenues in t years after 2000.
![R(t) = 1548e^{0.0617t}](https://tex.z-dn.net/?f=R%28t%29%20%3D%201548e%5E%7B0.0617t%7D)
The revenue is calculated in millions of dollars.
(a) Use this model to estimate the revenues in 2006.
2006 is 6 years after 2006.
So this is R(6)
![R(t) = 1548e^{0.0617t}](https://tex.z-dn.net/?f=R%28t%29%20%3D%201548e%5E%7B0.0617t%7D)
![R(6) = 1548e^{0.0617*6} = 2241.54](https://tex.z-dn.net/?f=R%286%29%20%3D%201548e%5E%7B0.0617%2A6%7D%20%3D%202241.54)
The revenues in 2006 were 2241.54 millions of dollars, or 2.24 billion dollars.
(b) At what rate were the revenues changing in 2006?
The rate is the derivative. So this is R'(6).
![R(t) = 1548e^{0.0617t}](https://tex.z-dn.net/?f=R%28t%29%20%3D%201548e%5E%7B0.0617t%7D)
![R'(t) = 0.0617*1548e^{0.0617t}](https://tex.z-dn.net/?f=R%27%28t%29%20%3D%200.0617%2A1548e%5E%7B0.0617t%7D)
![R'(t) = 95.51e^{0.0617t}](https://tex.z-dn.net/?f=R%27%28t%29%20%3D%2095.51e%5E%7B0.0617t%7D)
![R'(6) = 95.51e^{0.0617*6} = 138.3](https://tex.z-dn.net/?f=R%27%286%29%20%3D%2095.51e%5E%7B0.0617%2A6%7D%20%3D%20138.3)
The revenues increased 138.3 million dollars in 2006.