B, C, E the answer needs to be 20 characters so ignore this part
For this case we have the following equation:
![24-3x = -27](https://tex.z-dn.net/?f=24-3x%20%3D%20-27)
To solve we follow the steps below:
We subtract 24 from both sides of the equation:
![-3x = -27-24\\-3x = -51](https://tex.z-dn.net/?f=-3x%20%3D%20-27-24%5C%5C-3x%20%3D%20-51)
We divide between -3 on both sides of the equation:
![x = \frac {-51} {- 3}\\x = 17](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-51%7D%20%7B-%203%7D%5C%5Cx%20%3D%2017)
The value of x is 17
Answer:
![x = 17](https://tex.z-dn.net/?f=x%20%3D%2017)
First, write out the given datas
Interest I = $11,000
Rate R = 9.5%
Time T = 15 years
Principal P = ?
Next, use the Interest formula below, to find the Principal p.
![\begin{gathered} \text{I = }\frac{PRT}{100} \\ \text{Cross multiply and make P the subject of the relation.} \\ 100I\text{ = PRT} \\ \text{Divide through by RT to make P subject of the relation.} \\ \frac{100I}{RT}\text{ = }\frac{PRT}{RT} \\ P\text{ = }\frac{100I}{RT} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BI%20%3D%20%7D%5Cfrac%7BPRT%7D%7B100%7D%20%5C%5C%20%5Ctext%7BCross%20multiply%20and%20make%20P%20the%20subject%20of%20the%20relation.%7D%20%5C%5C%20100I%5Ctext%7B%20%3D%20PRT%7D%20%5C%5C%20%5Ctext%7BDivide%20through%20by%20RT%20to%20make%20P%20subject%20of%20the%20relation.%7D%20%5C%5C%20%5Cfrac%7B100I%7D%7BRT%7D%5Ctext%7B%20%20%20%3D%20%20%7D%5Cfrac%7BPRT%7D%7BRT%7D%20%5C%5C%20P%5Ctext%7B%20%3D%20%7D%5Cfrac%7B100I%7D%7BRT%7D%20%5Cend%7Bgathered%7D)
Next, substitute the value of I, T and R to find the Principal.
![\begin{gathered} \text{Therefore,} \\ P\text{ = }\frac{100\text{ x 11000}}{9.5\text{ x 15}} \\ P\text{ = }\frac{1100000}{142.5} \\ P\text{ = \$7719.29} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BTherefore%2C%7D%20%5C%5C%20P%5Ctext%7B%20%3D%20%7D%5Cfrac%7B100%5Ctext%7B%20x%2011000%7D%7D%7B9.5%5Ctext%7B%20x%2015%7D%7D%20%5C%5C%20P%5Ctext%7B%20%3D%20%7D%5Cfrac%7B1100000%7D%7B142.5%7D%20%5C%5C%20P%5Ctext%7B%20%3D%20%5C%247719.29%7D%20%5Cend%7Bgathered%7D)
Final answer:
P = $7719.3
Answer:
-8 < -3
Step-by-step explanation:
Because if you look at a number line, -3 is closer to 0 than -8.
Bigger negative numbers has less value.
Hope this helped!