Answer:
angle 7 is 26 degrees
Step-by-step explanation:
180 - 154 = 26
If the amount of money you invested in the first fund is x and the second fund y, then 9% (or 0.09 by moving the decimal 2 spots)*x+0.03*y=1047 since the first fund paid 9% and the second 3%. In addition, for this year, we get
0.1*x+0.01*y=811.
We also have 0.09*x+0.03*y=1047, so we can multiply the top equation by -3 and add it to the second to get -0.21x=-1386. Dividing both sides by -0.21, we get x=6600. In addition, since 0.1*x+0.01*y=811, we can plug 6600 in for x to get 660+0.01*y=811 and by subtracting 660 from both sides we get 0.01*y=151. Multiplying both sides by 100 (since 0.01*100=1), we get y=15100
Given:
Consider the below figure attached with this question.
The linear equation is:
![y=2x-8](https://tex.z-dn.net/?f=y%3D2x-8)
To find:
The values to complete the table of ordered pairs for the given linear equation.
Solution:
We have,
![y=2x-8](https://tex.z-dn.net/?f=y%3D2x-8)
Substituting
in the given equation, we get
![y=2(0)-8](https://tex.z-dn.net/?f=y%3D2%280%29-8)
![y=0-8](https://tex.z-dn.net/?f=y%3D0-8)
![y=-8](https://tex.z-dn.net/?f=y%3D-8)
So, the value for first blank is -8.
Substituting
in the given equation, we get
![-2=2x-8](https://tex.z-dn.net/?f=-2%3D2x-8)
![-2+8=2x](https://tex.z-dn.net/?f=-2%2B8%3D2x)
![\dfrac{6}{2}=x](https://tex.z-dn.net/?f=%5Cdfrac%7B6%7D%7B2%7D%3Dx)
![3=x](https://tex.z-dn.net/?f=3%3Dx)
So, the value for second blank is 3.
Substituting
in the given equation, we get
![y=2(2)-8](https://tex.z-dn.net/?f=y%3D2%282%29-8)
![y=4-8](https://tex.z-dn.net/?f=y%3D4-8)
![y=-4](https://tex.z-dn.net/?f=y%3D-4)
So, the value for third blank is -4.
Therefore, the required complete table is:
x y
0 -8
3 -2
2 -4
Answer:The simplified expression that represents the uncle's age is
4y + 12
Step-by-step explanation:
Let y represent your age.
Your sister is 3 years older than you. This means that your sister's age is y + 3
Your uncle is 4 times older than your sister. It means that the age of your uncle would be
4(y + 3)
The simplified expression that represents your uncle's age would be
4y + 12
I found this on another question made before