Answer:
![X=\$1.64*10^9](https://tex.z-dn.net/?f=X%3D%5C%241.64%2A10%5E9)
Step-by-step explanation:
From the question we are told that:
Population size ![P=918000](https://tex.z-dn.net/?f=P%3D918000)
Rate of Population increase ![\frac{dP}{dt}=9700](https://tex.z-dn.net/?f=%5Cfrac%7BdP%7D%7Bdt%7D%3D9700)
Average annual income ![I= \$34,549](https://tex.z-dn.net/?f=I%3D%20%5C%2434%2C549)
Rate of annual income increase ![\frac{dI}{dt}=\$1300](https://tex.z-dn.net/?f=%5Cfrac%7BdI%7D%7Bdt%7D%3D%5C%241300)
Generally the equation for Total Income is mathematically given by
![X=P \frac{dI}{dt}+I \frac{dP}{dt}](https://tex.z-dn.net/?f=X%3DP%20%5Cfrac%7BdI%7D%7Bdt%7D%2BI%20%5Cfrac%7BdP%7D%7Bdt%7D)
![X=918000*1400+(9200*30593)](https://tex.z-dn.net/?f=X%3D918000%2A1400%2B%289200%2A30593%29)
![X=\$1.64*10^9](https://tex.z-dn.net/?f=X%3D%5C%241.64%2A10%5E9)
Answer:
5. D
6. C
Step-by-step explanation:
<u>Question 5</u>
Lets plug in values of x and y into each equation to see which one works for the entire data set...
y=2x-4
1) Plug in -7 as x and -18 as y:
-18=2(-7)-4
2) Multiply:
-18=-14-4
3) Subtract:
-18=-18
The answers are the same, therefore the correct answer to question 5 is equation D. Keep in mind, you want to check ever single pair of points to make sure it works for all of them, I'm just not going to list that as it would make this answer a lot longer for no reason.
<u>Question 6:</u>
We know that the cost for the boat is $25 as a base price, and also costs an additional $1.30 per day for fuel.
The correct equation is C=25+1.30d, because we are adding 1.3 every single day.
The rule for regular polygons are very easy. The number of reflectional symmetries is same as the number of sides. Regular polygons have all sides the same length and all angles same. Reflection symmetry means that you can fold the shape along that line and it will match up.
For this question, we want the number of reflectional symmetries of a regular decagon. Decagon is a 10 sided figure. Hence, the number of reflectional symmetries is 10.
There are 5 symmetry lines from one vertex to opposite vertex and 5 more symmetry lines form midpoint of one side to midpoint of opposite side.
ANSWER: 10
Answer:
E) 9/12
Step-by-step explanation:
well first you need to know the number of non-red objects. There are 12 total so 12-3=9 non-red objects
9 out of 12 are non-red which is the exact same as the number of chances you have. 9/12
After graphing the lines, you can see that the solution is (4, -1)