Answer:
First question is A.
Second question is C.
Step-by-step explanation:
First question is correct because non-linear graphs look just like that.
Second question is correct because 2 variables cannot equal the same thing in a function.
mark must leave it for 5.5 months or 5 and half moths to gain 5600 in interest .
<u>Step-by-step explanation:</u>
Here we have , mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8%. if he leaves the money in the accounts for the same length of time, We need to find how long must he leave it to gain 5600 in interest . Let's find out:
Let mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8% for time x months , So total interest gain is 5600 i.e.
⇒ ![\frac{8000(12)}{100}(x) +\frac{2000(8)}{100}(x) =5600](https://tex.z-dn.net/?f=%5Cfrac%7B8000%2812%29%7D%7B100%7D%28x%29%20%2B%5Cfrac%7B2000%288%29%7D%7B100%7D%28x%29%20%3D5600)
⇒ ![\frac{8000(12)+2000(8)}{100}(x) =5600](https://tex.z-dn.net/?f=%5Cfrac%7B8000%2812%29%2B2000%288%29%7D%7B100%7D%28x%29%20%3D5600)
⇒ ![(80(12)+20(8))(x) =5600](https://tex.z-dn.net/?f=%2880%2812%29%2B20%288%29%29%28x%29%20%3D5600)
⇒ ![(960+160)(x) =5600](https://tex.z-dn.net/?f=%28960%2B160%29%28x%29%20%3D5600)
⇒ ![(1020)(x) =5600](https://tex.z-dn.net/?f=%281020%29%28x%29%20%3D5600)
⇒ ![x =\frac{5600}{1020}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B5600%7D%7B1020%7D)
⇒ ![x =5.5](https://tex.z-dn.net/?f=x%20%3D5.5)
Therefore , mark must leave it for 5.5 months or 5 and half moths to gain 5600 in interest .
Answer:
The solution to the inequality is:
![x](https://tex.z-dn.net/?f=x%3C5)
The number line solution graph is also attached below.
Step-by-step explanation:
Given the inequality
![2(x-3)-8< -4](https://tex.z-dn.net/?f=2%28x-3%29-8%3C%20-4)
Add 8 to both sides
![2\left(x-3\right)-8+8](https://tex.z-dn.net/?f=2%5Cleft%28x-3%5Cright%29-8%2B8%3C-4%2B8)
![2\left(x-3\right)](https://tex.z-dn.net/?f=2%5Cleft%28x-3%5Cright%29%3C4)
Divide both sides by 2
![\frac{2\left(x-3\right)}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cleft%28x-3%5Cright%29%7D%7B2%7D%3C%5Cfrac%7B4%7D%7B2%7D)
![x-3](https://tex.z-dn.net/?f=x-3%3C2)
Add 3 to both sides
![x-3+3](https://tex.z-dn.net/?f=x-3%2B3%3C2%2B3)
![x](https://tex.z-dn.net/?f=x%3C5)
Thus, the solution to the inequality is:
![x](https://tex.z-dn.net/?f=x%3C5)
The number line solution graph is also attached below.
Answer:
c) 500
Step-by-step explanation:
3% = 0.03
multiply the decimal from of 3% by 500:
500 x 0.03
solve:
500 x 0.03 = 15
Answer:
69a+6
Step-by-step explanation:
Distribute the 6 over the (10a+1) then you get 60a+6. Add the 9a to the 60 giving u 69a then you have the 6 left over making the answer 69a+6