Answer: 4x² + 4x - 2 - 
<u>Step-by-step explanation:</u>
You can use either synthetic or long division. I am using synthetic division:
2x + 3 = 0 ⇒ x = 
| 4 10 4 -6
<u>| ↓ -6 -6 3 </u>
4 4 -2 -3 ← <em>-3 is the remainder</em>
↓ ↓ ↓
4x² +4x -2 ← <em>factored polynomial</em>
Answer:
$386794
Step-by-step explanation:
To be able to find how much we get in 5 years, we need to base it off the initial salary value.
So in the first year we get.
$70,000
To get how much we get in the 2nd year we add the extra 5%.
2nd year salary = (1.05)70000
2nd year salary = 73500
Now we continue to do that until the 5th year
3rd year = (1.05)73500
3rd year = 77175
4th year = (1.05) + 77175
4th year = 81033.75
5th year = (1.05) + 81033.75
5th year = 85085.44
Now we add them all up to get the total.
70000 + 73500 + 77175 + 81033.75 + 85085.44 = $386794.19 or $386794
Linda should use ...
15 gallons of 80% juice
5 gallons of 60% juice
_____
Let g represent the number of gallons of 80% juice needed. Then (20-g) is the number of gallons of 60% juice Linda will use. The amount of juice in the mixture can be written as
0.80g +0.60(20 -g) = 0.75×20
0.20g = 20(0.75 -0.60) = 20×0.15
g = 20×0.15/0.20 = 15
The amount of 80% juice needed is 15 gallons, so 5 gallons of 60% juice are needed.
