<h3>
Answer: Choice A</h3><h3>
9.80h+10 = 88.40</h3>
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Work Shown:
- h = number of hours worked.
- 9.80h = amount of money earned after working h number of hours (ignoring the meal bonus).
- 9.80h+10 = total amount of money earned after adding on the meal bonus.
- 9.80h+10 = 88.40 is the equation we use since the total 9.80h+10 is the same as the total she earned 88.40 dollars.
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Extra info (optional section)
If you want to solve for h, then you could follow these steps.
9.80h+10 = 88.40
9.80h = 88.40-10 ... subtract 10 from both sides
9.80h = 78.40
h = 78.40/9.80 .... divide both sides by 9.80
h = 8
Valerie worked 8 hours on Friday.
As a check,
9.80h + 10 = 88.40
9.80*8 + 10 = 88.40
78.40 + 10 = 88.40
88.40 = 88.40
The answer is confirmed.
Answer:
it would be 5
Step-by-step explanation:
1.6 times 5 equals 8
From the function y=x^2-4x+7
to complete the square we proceed as follows:
The vertex form is given by:
y=(x-h)^2+k
where (h,k) is the vertex:
thus from the function we shall have:
y=x^2-4x+7
c=(b/2a)²
c=(4/2)²=4
thus adding an subtracting 4 in the expression:
y=x^2-4x+4-4+7
y=(x-2)^2+3
thus the vertex will be:
(2,3)
The answer is:
<span>D. Minimum at (2, 3)</span>
Assuming simple interest (i.e. no compounding within first year), then
At 6%, interest = 10000*0.06=$600
At 9% interest = 10000*0.09 = $900
Two ways to find the ratio
method A. let x=proportion at 6%
then
600x+900(1-x)=684
Expand and solve
300x=900-684=216
x=216/300=0.72 or 72%
So 10000*0.72=7200 were invested at 6%
10000-7200=2800 were invested at 9%
method B: by proportions
Ratio of investments at 6% and 9%
= 900-684 : 684-600
=216 : 84
= 18 : 7
Amount invested at 6% = 18/(18+7) * 10000 = 0.72*10000 = 7200
Amount invested at 8% = 7/(18+7)*10000=0.28*10000=2800
