0.25x² + 8.5 - 17 = 0
1)
a = 0.25
b = 8.5
c = -17
2)
- 8.5 ± √(8.5)²-4(0.25) (-17)
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2(0.25)
3)
-34 ± √1428
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2
4)
-35.894 and 35.894
The answer to this question would be: 17 years
The <span>interest rate is 3.8% compounded twice a year. The function of the saving account amount would be:
f(x)= </span><span>4,790.23* (1+ 0.038/2)^2x
</span>f(x)= 4,790.23* (1.019)^2x
Then for f(x)= 9,000 the x value would be:
9,000= 4,790.23* (1.019)^2x
9,000/4,790.23= (1.019)^2x
1.8788= (1.019)^2x
<span>2x=34
</span>x=17
Answer:
2/5 <1/2 <5/8<3/4
Step-by-step explanation:
2/5 ⇒40%
1/2 ⇒50%
3/4⇒75/%
5/8 ⇒62.5%
Step-by-step explanation:

Since we want to get ' p ' on left hand side , remove the number ' - 6 '.
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{ The opposite of -6 is +6 and whatever we do to one side , we must do to the another side. So, I added 6 on both sides }
⇢
{ On the left hand side , 6-6 = 0. That's how we removed the 6 so just 'p' is left. On the right hand side , 5+6 = 11 }
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Always check your answer by substituting your answer for the variable that you solved for. This guarantees you a right answer !

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Answer: The average age is 7.1 years.
This problem is an example of when we need to take a weighted average. We simply can't just find the average of 5 and 8, because there are different children of each each.
To start, lets multiply the total number of children by their individual ages.
6 x 5 = 30 years
14 x 8 = 112 years
There are 142 years among the 20 years, so divide 142 by 20. This gives us an average age of 7.1 years.